diff --git "a/data/dm_maths/full_data/10367_11255.jsonl" "b/data/dm_maths/full_data/10367_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10367_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(n) = -10*n - 27. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let t(z) be the second derivative of z**4\/6 - z**3\/3 - z**2\/2 + 3*z. Let o be t(-1). Put r, o, -2 in increasing order.\nAnswer: -2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145940*z**2 + 114127*z**2 + 69740*z**2.\nAnswer: 329807*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336495.\nAnswer: 5, 267299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -13. Sort -4, -2, a.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90475926 by -769.\nAnswer: -117654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-5)\/(615\/(-6))). Suppose -5*h + b = 4*s, 3*h + 2*h - 13 = 3*s. Suppose h*g - 65 = 3*w, -2*w + 5 = -w. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 313. Suppose 503 = 5*c - 4*h, -3*c - b + 509 = -h. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 93.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 78*l\/5 + 16.\nAnswer: -2*(l - 1)*(l + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23070756 or -23070754?\nAnswer: -23070756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730412640.\nAnswer: 2, 3, 5, 56359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132423, 1132424, 1132425, 1132426?\nAnswer: 1132427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/3)*k\/(k\/(k**(-4\/9)*k))*k)\/((k\/((k**(2\/11)\/k)\/k))\/k**(-6)) assuming k is positive.\nAnswer: k**(-488\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**4 + 70*a**3 + 164*a**2 + 110*a. Let s(m) = -m**4 + 14*m**3 + 33*m**2 + 22*m. Let t(v) = 33*s(v) - 6*z(v). Suppose t(k) = 0. What is k?\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463181133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h + 1. What is the remainder when ((-4)\/10)\/((-3)\/255) is divided by q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234577112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -11*r + 6*r + d, 5*r + 26 = -2*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333433 is divided by 394.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1495444.68ns to days.\nAnswer: 0.0000000173083875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Suppose -t*z = -747 + 271. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/9 (b) -43 (c) -0.5 (d) -6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1935*p**2. Let u(s) = -3*s + 2. Let j(q) = 5*q - 4. Let g(m) = -j(m) - 2*u(m). Determine g(t(i)).\nAnswer: -1935*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-4)\/(-64)*-2))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 20 = -32*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 9. Let x be w(0). Let j = 9 + x. Suppose j = l - 4*m + 9, -6*m = -2*m. Let g(b) = -b**3 - 9*b**2 - b + 1. Calculate g(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -4, -0.4, -2.6, 0.02, 6.79, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*p - 4*n, -6*n + 2*n = 2*p + 24. Is 2397 + -4*p\/(-9 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22115?\nAnswer: 5, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (33 - (37 - 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 41\/3 - 2\/3. Let h = -324 + 467. What is the highest common divisor of w and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 502044 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 165\/(-22)*4\/(-10). Suppose f = -0*f + 5. Suppose 2*y = -w + f - 2, y - 5 = q*w. Which is smaller: w or -1\/112?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + -2. Suppose 0 = 3*o - o - 4. Suppose 5*w - 5*j = 26 + 14, o*w - j - 11 = 0. Which is the second biggest value? (a) q (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/3*o**3 - 3*o + 0 + 2\/3*o**4 + 0*o**2. What is the second derivative of c(r) wrt r?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286 by 1233.\nAnswer: -286\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 5*r**4\/6 + 3*r**3\/2 - 4*r**2 + 3*r. Let m be w(7). Suppose 3*x = 5*f - m, -f - 2*x = -5*f + 436. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12085732 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*v = 2*v + 20, v - 10 = -u. Suppose 2*l - 2*t = 128, -4*t = -2*l - 51 + 167. What is the greatest common factor of l and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - u**4 + 2 + u + u**3 + 162*u**2 + 2*u**3 - 164*u**2 to t*u**4 + f*u**3 + g + y*u**2 + n*u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - v = -v. Suppose v*c = -c - 145900. What is c rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, 0.5, -35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 8:58 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/36715 and 4\/265?\nAnswer: 1945895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j - 1. Let o be h(3). Let d(i) = -4*i**3 + i - 1. Let n(f) = 13*f**3 - 4*f + 4. Give o*n(z) + 7*d(z).\nAnswer: -2*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -3, -0.4, -2\/15, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.6 - 35. What is the second smallest value in 1\/3, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Suppose 139 = 5*d + 19. Let f(x) = -x**2 - x - 1. Let c(l) = 9*l**2 + 8*l + 7. Let t(s) = a*c(s) + d*f(s). Factor t(i).\nAnswer: 3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 3. Let v be a(-6). Let r = 37 - v. Suppose -5*c - r = -2*y, 5*c + 4 = -5*y + 3*y. Solve 4*f = -4*q - 8, -4*q - q = -y*f - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2100 in 2\/17, 0, 19\/4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 7*t**2 + 8*t - 12. What is p(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 + 0 + m)*(-2 + 3 + 1 + (5 + 0 - 4)*(4 - 1 - 2)) as k + l*m and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 4*c - 39, -4*n + 5*c + 53687 = 53711 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*(-140)\/(-1200)*10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.5546 rounded to one decimal place?\nAnswer: -82.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25245097 take away -2?\nAnswer: 25245099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120808765 + 5?\nAnswer: 12080876a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - k + 3*k = -58, -20 = 4*m - 5*k. Calculate the common denominator of (-39)\/6 + 10 + 2\/(-8) and 2 + -1 - 88\/m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 17 = -73434*j + 73438*j, 0 = 8*j + 2*t + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.04897 + 641.61797. Let p = c + -637. Round p to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-21)*(-69825)\/(-700))\/(6\/16)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - 9) + (2 + -105)*-2. What is the greatest common factor of l and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -40 - 8. Let n be (a\/(-20))\/(1\/(-5)). Suppose -3*m + n*s + 6 = 0, 5*m - 3*s + 30 = -8*s. Let p(v) = -v**3 - 2*v**2 + v + 2. What is p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 834520455 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -5 - -7 - -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/(2 - -1))\/(-2). Let v = 7 + g. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (97 - (178 + 4))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let t be 1*(-3 - -1 - c)\/(-1). Let d(f) = 4*f + 12*f - t*f. What is d(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2693 + 4*q**3 + 0*q**3 - 3*q + 2694)*(q - q + 2*q) to the form b*q**2 + y*q**4 + v*q + x + f*q**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - n + 2*n + (-2 + 0 + 1)*(5*n - 3*n - 4*n))*(6500 + 2857 - 1293).\nAnswer: -8064*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 - a. Let l(w) = -2*w + 5640. Give b(l(y)).\nAnswer: 24*y**2 - 135358*y + 190851960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12326.046 - -12358. Let k = -32 + w. Let s = k + 4.046. What is the second smallest value in s, 5, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 0 + (sqrt(605) + 1 - sqrt(605)) + 5 - (3 + (sqrt(605) - 3*(sqrt(605) - (sqrt(605) + 0)))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*n + 4, -4*n + 4*u - 7 - 21 = 0. What is the second biggest value in -2\/3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 65. Suppose 93*w - 100*w = -56. What is the smallest common multiple of w and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/(1\/72). Suppose 0 = 5*k + x - j, 0 = -0*k + 2*k + 3*x - 19. Calculate the remainder when 32 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2079)\/81 - -17 - -10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181592755.\nAnswer: 5, 7, 33759793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*q - q + 5*u - 39036 + 39008, -6*q = 3*u + 333 for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11677, -23355, -35043, -46747, -58473?\nAnswer: -70227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.1. Let i = -0.2 - -3.2. Let f = 1 - i. Which is the third biggest value? (a) k (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 5, -5\/6, 1\/5, -5 in ascending order.\nAnswer: -5, -5\/6, 1\/5, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13955917 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80709 + -54571. Suppose -r = 13*r - s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 358*b**2 + b.\nAnswer: -358*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 8773595*q\/4 - 8773597\/2.\nAnswer: (q - 2)*(q + 8773597)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110 + 100?\nAnswer: -11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(1728))\/(sqrt(72)\/(-2*sqrt(12))).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*d + 550 = 90 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*k = -182*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roooooor. Give prob of sequence ooor.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*28\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -2*k**7\/3 + k**6\/5 - 37*k**4\/12 - 3*k**2\/2 + 228*k. What is the third derivative of t(n) wrt n?\nAnswer: -1680*n**2 + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**3\/6 - 9*o**2\/2 - o. Suppose 3*z + 23 = 8. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37142577?\nAnswer: 3, 197, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 751, 5973, 20145, 47743, 93243?\n\"Answer: 746*b**3 - b**2 + 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 45 (c) 25 (d) -3 (e) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9429, 3, 1.\nAnswer: -9429, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 7. Let c(h) = 5*h - 6. Let j(a) = 2*c(a) - 3*t(a). Let b be -3*9\/(-6)*2. What is the remainder when j(b) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 80718.73 kilograms?\nAnswer: 80718730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -1\/6*b**3 + 0 + b**2 - 5*b. Let w be p(-2). Solve -x = -w*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2772*y + 2822. Let s(h) = -h**2 - 16608*h + 16934. Let u(t) = 13*a(t) - 2*s(t). Find o such that u(o) = 0.\nAnswer: 1, 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 3, m: 3, f: 3, l: 1, t: 3}. What is prob of sequence fs?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27604 to three dps.\nAnswer: -0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304511546*u**3 + 21525708*u**2.\nAnswer: 1827069276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -31, 4, -3, -1 in descending order.\nAnswer: 4, -0.3, -1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.1, 24, 1\/4, -2\/13, 453 in ascending order.\nAnswer: -2\/13, -0.1, 1\/4, 5\/4, 24, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + 603 + 314)*(2*u**3 + 3*u**3 - 2*u**3).\nAnswer: 2982*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 2*v)*(v + 0*v - 3*v) + (1 - 1 + 3*v)*(-4 + 2*v + 4) - v**2 + 6*v**2 - 2*v**2 + (3*v**2 + 0*v**2 - 9*v**2)*(-1 + 3 - 4).\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*r - 1, -4*v + 2*r + 2 = -22. Solve 0 = 2*f - 5*f, -v*f - 12 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-23\/4)*j))\/(j**1*j))\/((j\/(j\/(j\/(j\/j**16))))\/j*j**9) assuming j is positive.\nAnswer: j**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 8047*j - 8037*j. Calculate the highest common divisor of 429 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*78912\/(-60280).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 51388802.\nAnswer: 1\/51388802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 27*k - 8. Let s = 4 + 9. Let q be j(s). Solve -2*c = -r - 3, 6 = -2*r - 0*r - q*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuxxxgxxggge. Give prob of sequence xug.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/(-158) - ((-4)\/(-6))\/(12\/(-27))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111877420.88 - 16.\nAnswer: 111877404.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 2:11 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (3*sqrt(75) - sqrt(3)))*6.\nAnswer: 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -470*d - 86 wrt d.\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/199 in 4, -2\/3, -244\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -9, -0.09, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 4*t + 0*t - 14 - 34.\nAnswer: -t - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 67776 divided by -706\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 13*l**2 - 9*l + 118. Let j be b(13). Let g(h) = h**3 + 4*h**2 + h + 4. Let w be g(-4). Sort -1, w, j, -5 in ascending order.\nAnswer: -5, -1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + f + 1. Let t(d) be the first derivative of -d**4 - 2*d**3\/3 - 2*d**2 - 3*d + 2. Let g(r) = -3*p(r) - t(r). Let h = 0 - -2. Give g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50145957 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 4) to base 15\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/105)\/(44\/(-110)). Is u equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64944.0827 rounded to the nearest one hundred?\nAnswer: -64900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-704)\/132*(-8)\/160.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305999912 and 1288.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 - 52. Is h a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 49*m + 3. Let l(t) = 33*t + 2. What is -7*l(z) + 5*n(z)?\nAnswer: 14*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 14. Let f be (-8)\/(96\/(-126))*2\/3. Let w be c(f). Suppose w*i + 161 = 7*i. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 10*x**2 + 1. Let l be r(-10). Let j be (28\/(-105))\/(l\/(-5)). Factor -2\/3*c**2 - 2\/3 + j*c.\nAnswer: -2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1)*-2 - (sqrt(3) + sqrt(192)))**2.\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Does 19 divide 2*(-38)\/x*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/5 + 4032859*h**4\/5 - 4065965747679*h**3\/5 - 44726014412559*h**2\/5 - 19516877560944*h + 29275272786420 = 0.\nAnswer: -6, 1, 2016435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9*l)\/(l*l\/((l*l**(-7)\/l)\/l))*(l\/((l**(-3)\/l)\/l))\/l**(-3\/8))**(-48) assuming l is positive.\nAnswer: l**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n - 7 = 43*n - 299. What is the closest to n in -0.1, 1\/3, -0.2, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513876.\nAnswer: 2, 3, 11, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 794, 2387, 5038, 8747?\n\"Answer: 529*r**2 + 6*r + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695)*-2)\/sqrt(5).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148534342 is divided by 1069?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/2*(4326\/189 - 23). Let b = 5 - 8. Let g = b - -7. Put -1\/2, d, g in decreasing order.\nAnswer: g, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/(-66))\/(-10)*572\/(-78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-16)\/(-8))*11. Let x(c) = -2*c**2 - 23*c - 5. Let p(z) = -2 + 10*z**2 + 2*z**2 - 13*z**2 - 8*z. Determine q*p(d) - 4*x(d).\nAnswer: -3*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by 1\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*3*sqrt(3840))\/(((sqrt(72) - -1*sqrt(72))*1)\/(sqrt(24)*-2)))**2.\nAnswer: 6635520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**3 - 7*b**2 + 36*b - 180. Let c be w(12). Round c to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.9 - -35. Which is the closest to 1\/4? (a) 0 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 6*d**2 + 2*d + 4. Let l(n) = -n**2 + 12*n + 6. Suppose 0 = -6*v + 14 + 58. Let y be l(v). Calculate b(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22332 (base 5) to base 11\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20444 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1783*o**2 - 230*o - 45041315 with respect to o.\nAnswer: -3566*o - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 46 = -0*s. What is the highest common divisor of s and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 8*u**2 - 136 + 132 - 5*u**2 + u + u**3. What is o(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 3*l - 72 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*g + 366*g + 759*g + 32218 - 84484 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.226766 weeks to milliseconds.\nAnswer: 1346748076.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let b(r) = -3*r - 15. Calculate the lowest common multiple of s and b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**3 - 8*n**3 - n**3 + 2*n**3 - 8 - 2*n**2 as j*n + w*n**2 + i + f*n**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*p + d, 3*d = -2*p - 2*d - 2. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 354 and 1062.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1078, 1119, 1162, 1207?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 225 = -3*m, m + 257 = 3*g + 6*m. Let r = 82 - g. Let x be (-4 + r)*-47 - -3. What is the highest common divisor of 50 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -7. Let a = u - -59. What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - n + 4*n - 1 + 2*n - n**3 to z*n**2 + d*n**3 + u + y*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11897 = 79*b - 134016. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 1134, 3971, 9508, 18645?\nAnswer: 32282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61930066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:48 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1797 take away -0.3?\nAnswer: 0.1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 1981*z + 399675. Give x(228).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000335 to 7 decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(144)\/sqrt(8))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -946 or -1356?\nAnswer: -1356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*k = -3*r - 30, -143 = r - 3*k - 125 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 936 and 293940.\nAnswer: 7642440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2, 4*o + 75 = 5*o + 2*f. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3757 + 3761. Solve r - h*p = -17, -5*r + 4*p = 46 - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*z - 34 + 8 + 5 + 82*z as v + n*z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14284302653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.048 + 7.848. Let m = -8 + d. Let h(x) = -4*x + 8. Let c be h(1). Which is greater: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(114)*6)\/(1*-1*sqrt(6)))**2.\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289029 and 13689.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v + 1760 + 26 = 0 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 876156.\nAnswer: 876109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (3 + (sqrt(2057)*-2 - sqrt(2057))))*6 + -1)**2.\nAnswer: -10032*sqrt(17) + 1185193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256357299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2056 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 231. Let s(h) be the first derivative of -h**3\/3 - 13*h**2\/2 - 8*h - 1. Let a be s(m). Solve -a*v + 4 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 132, -538, 1\/5, 0.4, -2\/13, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from nqqnlqoqnq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) - sqrt(140)*1 - sqrt(140))*-2) + sqrt(140) + (sqrt(140) - -1*sqrt(140)*3))\/(-2*2*(sqrt(28)\/sqrt(4) + sqrt(7))*6).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d346 (base 15) in base 9?\nAnswer: 67173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 731.5 + -732.5396. Round a to 2 decimal places.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343326487 a multiple of 2891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 126\/(-70) - (-1404)\/30. Suppose 5*r + 14 + 1 = 0. Let s(k) = k**3 + 3*k**2 - 3*k. Let a be s(r). What is the highest common divisor of v and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0 - 16\/5*o**2 + 1\/5*o**3 + 64\/5*o = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243518248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a + 4*a - 5*a)*(1 + 3 - 1) - 3 - a + 3)*(9 + 6 + 2)*(4*a - 2*a + 0*a).\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**5\/5 - 2893719*s**4\/5 - 697805144814*s**3\/5 - 2093398072158*s**2\/5 - 418678456947*s - 139559292735 = 0.\nAnswer: -482285, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**3 + 909 - 70716400*c + 70716400*c + (-c + c - c)*(0*c + 0*c + c**2) to w*c**2 + s + z*c**3 + p*c and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-112) - 3942\/1533\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-45))\/((2\/1)\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*2*(-84)\/(-378)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 7*m**2 + 9*m - 7. Let i(v) = -30*v + 1748. Let h be i(58). Give b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -0.04.\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 808 - 4847\/6. What is the third biggest value in h, -0.5, 48, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w, -17 = -5*b - 3*w + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 4. Let w(v) = -2*v**2 + 9. Let j(g) = -9*k(g) + 4*w(g). Let z(n) = 2*n**2. What is z(j(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 4405*m - 161619. Determine g(-37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdnxg. Give prob of picking 1 n and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 7400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/4 - q**3\/6 + 4*q**2 + 538*q. What is h(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:08 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/2 + 557*k**2\/2 + 38920*k + 38642 = 0.\nAnswer: -278, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 6*k - 2*k - 4*k. Let w(z) = 3*z**2 - 5*z + 2. Let d(x) = -w(x) - 5*y(x). Find the first derivative of d(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17136 = 5*g, 173*g - 178*g - 15 = 0. List the prime factors of n.\nAnswer: 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 5)*(-2 + 4 - 3) - 3 + 1 - 1)*(3*x**3 - 5*x + 5*x).\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -13. Let i = v - -8. Let g be i - (46\/42 + 1). Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 899287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -10*y - 165, 0 = 2*q - 127*y + 129*y + 36 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 g when three letters picked without replacement from {h: 1, y: 9, g: 3, u: 6}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-36)*3*(-4)\/(-5). Solve -c*t + 12 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222129 is divided by 395.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -2825.9983165 - -2826. What is a rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-115)\/(-2) + 3\/(-6) + -1. Let t = -52 + n. Suppose 5*f + 5*y = 30, 4*f - 5*y + t = 46. Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(7\/6))\/k)\/((k**(-1)*k*k)\/k*k) assuming k is positive.\nAnswer: k**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u. Put u, -5, 3 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o**9\/o))\/(o*o\/o**(-8)*o*o))**50 assuming o is positive.\nAnswer: o**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 119301 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z - 33*z - 14*z + 2249 = -2587 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 3\/2, 1 in ascending order.\nAnswer: 0.31, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200273941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 21*y + 576. Suppose 1 + 5 = 3*o. Calculate the remainder when s(-27) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 2020122?\nAnswer: -2020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-3\/8)\/(f**(-3)\/f**(-7)) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*(-7)\/(-49)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-90)*-36*12\/(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*2\/12*1)\/((-268)\/(-1608)). Let s(c) = 4*c**2 - 10*c - 21. What is s(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 + 5*l**4\/6 - 2*l**3 - 13*l**2\/2 + l. Let o be (-8)\/(-12)*(2 + ((-5291)\/22)\/13). Determine m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g*g*(g*g**(-2))\/g)\/(g*(g*g\/(g\/g**6))\/g*g*g\/(g*g**(-2))))\/(g**(1\/2)*g*g**(2\/3)\/g)**(-1\/17) assuming g is positive.\nAnswer: g**(-1319\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1011?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1858 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123994, 248033, 372080, 496135, 620198?\nAnswer: 744269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 22. Let x = -48 - -59. Let p be f(x). Suppose -5*v + 6*v - p = 0. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.221813 - 0.278187. Let k = -1 + 1.04. What is the nearest to -1 in k, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 16814*s = 16821*s - 35, 10*s = -5*k + 95 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 73*q + 13. Let a be t(-24). Let x(w) = -9*w**2 + 4*w. Let g(f) = 5*f**2 - 2*f. Calculate a*g(h) - 6*x(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87145 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8886 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2 = 32, 5*x - 5*w - 85 = -7*w. Let i(r) = 48*r + 3. Let j be i(-2). Let p = 258 + j. What is the highest common factor of p and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -803.52, 4, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 - 344. Let f = -1 - -1. What is the closest to f in -0.1, -2, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314.27 - -304. Let i = 432.73 - g. Let q = -442.99823 + i. What is q rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 609 - -2?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 11:50 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 605 - 877. Let k = -814\/3 - h. Solve k - 2\/3*n**2 + 0*n = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1672\/128 + -13)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 2*l. Let y be m(-2). Let x be (((-90)\/(-20))\/9)\/(7\/(-4)). Which is the closest to x? (a) 0.2 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3127 - 3119. Let j(l) = 21*l - 170. Give j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -53194 - 587686. What is p rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2326*i**3 - i**2 - 9*i. Let m(p) = -p**3 - 3*p. Calculate 3*m(q) - y(q).\nAnswer: 2323*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1392 divided by -8\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v + 34 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 7, t: 6, k: 3, n: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 9*d**3 + 4 - 21\/2*d**2 + 0*d. Find the second derivative of x(v) wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41, 82, 115, 128, 109, 46?\n\"Answer: -2*c**3 + 8*c**2 + 31*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0287303 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 14) + (0 - 32).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/65 - ((-11)\/5 - 0). Let r be (-16)\/(-5) + (-1)\/5. Solve 7 = o*l - r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 368336.06?\nAnswer: 368336.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23185764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 33*x**2 - x - 47. Calculate the remainder when o(-7) is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2451474836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1484971 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 21 = 7. Let n(m) = -m - 3. Let g be n(i). Suppose -5*u = 5, -g*a - 5 = u - 4*u. Let z(h) = -4*h - 3. Determine z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 7?\nAnswer: -212\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251, 1415, 1639, 1953, 2387?\nAnswer: 2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649*i - 676*i = -459. Suppose 25 = r - 2*b + 4, 2*r = 2*b + 42. Suppose -r*p = -i*p - 1780. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e607 (base 15) to base 4\nAnswer: -210211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1487*w + 11897. Determine c(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.4\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81422091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 3) in base 2?\nAnswer: -101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.1. Let m = 0.1 + c. Let y be ((-3)\/(-2))\/((-3)\/(-4)). Sort y, -4, m in descending order.\nAnswer: y, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*k, 2*s + 3 + 3 = -4*k. Suppose s*g + 0*h - 200 = h, g - 40 = -h. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373395 is divided by 33860?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39119078.\nAnswer: 2, 43, 197, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -35*u**3\/3 + 125*u**2\/3 + 290*u\/3 - 200\/3 = 0.\nAnswer: -2, 4\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.1 (c) 1148 (d) 0 (e) 3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-7) - ((-31636)\/(-308) - 103)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72476895 at most -362384481\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -275242, -552015, -828788, -1105561?\n\"Answer: -276773*r + 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y + 55*y**2 + 5\/3*y**3 - 103. Find g, given that f(g) = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80*w**2 - 709 wrt w.\nAnswer: -160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2*n + 7. What is y(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45108*d + 45371*d - 4 + 4.\nAnswer: 263*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3961 and -0.2?\nAnswer: -792.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-5)\/(5\/(-2)))*-12. Let h = 15 + n. Suppose 2*g + h*g - 240 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 + -24. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 22 + 2. What is the common denominator of (-186)\/p + 1\/(-5) and 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*o = 1031 + 399 - 42 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 25380 - 25380.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u. Let p be 0*(234\/48 - 5). Let q(n) be the first derivative of 1\/3*n**3 + 0*n**2 + p*n + 10. Give j(q(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 26*f**4 - 2951*f**2 - 8*f + 4154. Let d(x) = -3*x**4 + x**2 + x - 1. Let m(p) = c(p) + 8*d(p). What is the derivative of m(j) wrt j?\nAnswer: 8*j**3 - 5886*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5 = -4*i - m, -3*i - 12 + 6 = 2*m + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/15 + (-14)\/(-6). Suppose 0 = k + 3*o - 155, 2*k + o = x*o + 296. What are the prime factors of k?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let m(g) = 2*g. Let h be ((-60)\/135)\/((-1)\/9). Let w(a) = h*p(a) - 3*m(a). Let u(r) = 28*r - 1. Determine w(u(l)).\nAnswer: -56*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 7*h - 11. What is m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1348 - 596. Let k = 750 - z. Which is the nearest to -0.2? (a) k (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(180))\/sqrt(6))\/(sqrt(36)\/(sqrt(6) - (sqrt(6) + -3*sqrt(6)) - sqrt(6))).\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-5))**(-50) assuming y is positive.\nAnswer: y**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -319. Suppose -187*f = -h*f - 46. Let p = f + -16. Solve 0 = 2*k - p*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(343) + sqrt(343) + 0 + 1 - (sqrt(343) + 1)*-5 - 1*(2*sqrt(343) + 4)))**2.\nAnswer: 45360*sqrt(7) + 2779596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92bba7 (base 12) in base 2?\nAnswer: 1000110001111011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 13*g. Let x(z) = -z**2 + 18*z - 40. Let q be x(3). Let k be w(q). Which is the biggest value? (a) 3 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 1 + 6 + v**2 + 5*v - 5*v**2. Is a(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7 - 2 + 0 + b**2 - 6*b. Let d be g(7). Let v be ((-1)\/2)\/(1\/2). Which is greater: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let l be (-1)\/p + (-7487)\/2. Let k = l - -1543. Round k to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3575*q**4 + 45420*q**3 - 67645*q**2 + 6600*q = 0. Calculate q.\nAnswer: 0, 15\/143, 8\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65, 68, 73, 80, 89, 100?\n\"Answer: c**2 + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101101010101100 - 1100?\nAnswer: -1010101101010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 809*w - 7 + 6 + 9 - 3 - 1 to the form f*w + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 6*w + 2*w + 5952, 4*y - 5955 = -3*w. What are the prime factors of y?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 2*q**3\/3 - 24*q**2 - 110*q + 82. Find the first derivative of r(a) wrt a.\nAnswer: 4*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/20*1*3. Let d be (-196)\/(-6)*(-17)\/340. Let l = d + t. Which is the biggest value? (a) l (b) 3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.6 + -4.5. Let p be (2\/8)\/(7\/4). What is the closest to a in 2\/13, -1\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -3016931017033.\nAnswer: -3016931017028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17524, 17543, 17562, 17581?\nAnswer: 17600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3058 and 3644858.\nAnswer: 40093438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - -3)*(-1 - (46\/10)\/(-1)). Let u(m) be the first derivative of p + 1\/2*m**2 - 16*m. Find the first derivative of u(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*l. Let m = l + 0. Suppose m = 3*u - 25 - 32. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3\/4, -0.1, -0.3, 1.08, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23601.1 less than 0.240637998?\nAnswer: 23601.340637998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1218*s - 151027. Determine k(124).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5 + 25. Let f(r) = r + 10. Let v be f(-10). Suppose 3*c + 4*a - 8 = 0, v = -5*c - a + 1 + 18. What is the lowest common multiple of m and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590100 rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 513003.13 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -366, 1867, -4, -5 in descending order.\nAnswer: 1867, -4, -5, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*c + 18444, 27648 = 3*p + 24*c - 21*c. What is the remainder when p is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16626?\nAnswer: 2, 3, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/2 (b) 4 (c) -0.013 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22138 - -677\nAnswer: -21461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1185 + 1184.97. What is the closest to 0 in -0.2, i, 0.73, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(-1)*(-15)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 - 3 = -f, 0 = 4*f. Suppose -k*q = -5*q - 28. Suppose 69 = q*p - 141. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20012112022212?\nAnswer: -20012112022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-5)\/(10\/4))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507331*j + 600 = -507291*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 312 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 1, n: 1, q: 1}. Give prob of sequence noqo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.92 - 564.08. Let r = -607 - t. What is the second biggest value in r, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -8. Let l = z - 1. Suppose -g - 10 = 4*f - 1, f + 4*g + 21 = 0. What is the nearest to f in -4\/3, l, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.05 + 24.1. Which is the smallest value? (a) -0.21 (b) 4 (c) f (d) 2\/3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 + 14 - 7*t + 14 - 36.\nAnswer: -7*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330 a factor of 993221247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/840 and 109\/380.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22203.84us to milliseconds.\nAnswer: 22.20384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 45. Let x be d(7). Is (2 - 1)\/((x\/3594)\/(-4)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159253923.\nAnswer: 3, 53, 71, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/o**(-7\/3)))**(-1\/54))**(22\/3) assuming o is positive.\nAnswer: o**(110\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. Suppose u*v = 3*v. Let x = 3.5 + -0.5. What is the nearest to v in x, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 9*j**2 - 3*j - 69. Let t be d(10). Calculate the highest common factor of 29 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 6*w + 5*o - 50, -2*w = -3*o - 87. Suppose 48*s - w*s - 316 = -4*r, -79 = -r - 5*s. Which is greater: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u. Let t(n) = n + 12. Give t(h(f)).\nAnswer: -3*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/8 - 75*t\/8 - 1575\/4 = 0. Calculate t.\nAnswer: -30, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(128) + (sqrt(128) + sqrt(128)*4 + -2)**2 - (sqrt(128) + -1 + -3 + sqrt(128))**2).\nAnswer: -24*sqrt(2) + 2671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233221333 - 102?\nAnswer: 233221231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 557144 != 557145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*s**3 - 103*s**2 wrt s.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - -11.83. Let l = w - 12.03. Let x = 0.47 - l. What is the second biggest value in 5, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/((-2)\/(-4)) - 101. Let m = -96 - l. Suppose 0 = -2*w + 2*a + 54, -m*w + 36 + 19 = -a. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 - 42*n**2 + 780*n - 4800.\nAnswer: 3*(n - 20)**2*(n - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - 5*d - 299. Let r(w) = -w**2 + w + 1. Let b(k) = c(k) + 6*r(k). Let o be b(0). What is o rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 2517.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512532 is divided by 251.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*n - 16252 = -4*f + 275*n, -2*f + 2*n + 8130 = 0. Calculate the remainder when f is divided by 1014.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260.4 rounded to the nearest 10?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4719 + -4719.01. What is the fourth biggest value in w, -3\/4, 0, -1\/8, 2\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20361031 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) 0.4 (b) -2\/21 (c) -1 (d) -2 (e) -6 (f) 1 (g) 2.1653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.93 + 0.07. Let r = -3 + 2.8. Suppose 21 = 5*w + 4*j, 15 - 1 = 2*w + 3*j. Sort w, r, z in ascending order.\nAnswer: r, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 16*z + 358. Determine l(-32).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202\/5945 or 1?\nAnswer: 202\/5945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:45 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 6*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17358617389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 53, 50, 47, 44, 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**2 + 191*r wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -643 + 675. What is the greatest common divisor of w and 5664?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3*v**2 - 3*v**2)*(-142*v + 142*v - 2*v**3) + (5*v - 2*v - v)*(-v**4 + v**4 - v**4).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12491 = 5*f, v + 3*f = 2*v - 3127. Suppose v = 14*a - 2742. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 10*j**2 - j + 21. Let h(k) = k**3 - 5*k**2 - k + 11. Let p(u) = 11*h(u) - 6*i(u). Factor p(t).\nAnswer: 5*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + g = -5, 4*m = 2*g - 3*g - 11. Put 20, -6, m, -5 in ascending order.\nAnswer: -6, -5, m, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2*-314*2292\/(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 7 = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + 3) + -1*sqrt(11) + 4 + (sqrt(22)\/sqrt(2)*5 + 2*(sqrt(176) - sqrt(11)))**2.\nAnswer: 3*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16594 (base 14) to base 2\nAnswer: 1101101010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 6*r + 6. Suppose -4*o = -8, 9*o = -5*v + 4*o - 10. What is the units digit of i(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8897 + 17793 - 199*s - 8896.\nAnswer: -199*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**3 + 4*q**2 + 11*q**3 - 19*q**3 - 8 as o*q**3 + w*q + m + z*q**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96517, -96053, -95589, -95125, -94661?\n\"Answer: 464*y - 96981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 26 = -7*u + 3*g, 4*g = -4*u - 32 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8730537l?\nAnswer: 873.0537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100001 (base 2) in base 16?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 18 = -0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019 = -22*x + 2*r + 1387, 6*x = x + 39811*r - 39809*r + 553 for x.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32668 is divided by 359?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200022 + 12?\nAnswer: 200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 18*s + 55. Let c be w(15). Calculate the greatest common divisor of 70 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2304530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j - 7*j - 9*j - 12*j**2 + (-5*j - 5*j + 0*j)*(-2*j - 4*j + j) to the form z + b*j + w*j**2 and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 1) + 6 + 113. Find the second derivative of 172*r - 14*r**5 - 4*r**3 + 4*r**3 - 194*r - l*r wrt r.\nAnswer: -280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 412554, 412601, 412650, 412701, 412754?\n\"Answer: h**2 + 44*h + 412509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 3*c + 20. Suppose 0 = c*i - 3*l + 455, l + 4*l = 5*i + 455. Let f = 87 + i. Put 3, f, 0 in ascending order.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154080000 rounded to the nearest 1000000?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 3 + 31)*(-2*b + 4*b**3 + 2*b) to the form f*b**2 + s*b**3 + v*b + z and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15893596?\nAnswer: 2, 269, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 4:39 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(8\/26))\/(23\/(-5842)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 94*y + 56. Let z(r) = -94*r - 48. What is 5*s(o) + 6*z(o)?\nAnswer: -94*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 653546085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3458 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2163 and 5717.\nAnswer: 1236.5871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630981 is divided by 42065.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -324433 + 1297727\/4. Suppose g - 2*a + 11 = 0, g - 3*a = a - 17. What is the closest to 8\/3 in n, 3\/5, g, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*i + 1149*i**2 - 61*i - 61*i.\nAnswer: 1149*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t + 4*m - 59 + 25, -3*t = -4*m + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(833)*-2 - sqrt(833)))**2 + sqrt(833).\nAnswer: 7*sqrt(17) + 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + 11193\/(-42). Let r be 10\/2 - n\/(-50). Let w = -791\/50 - r. Find the common denominator of w and 67\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -3 - -8)\/(18\/960). Let x = b - 295. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2280.6681 seconds to minutes.\nAnswer: 38.011135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1944, 5, -3, 0 in descending order.\nAnswer: 5, 0, -3, -1944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-9 - -19 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 32. Determine b(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -16\/9*l + 178 + 5\/3*l**2 - 14\/27*l**3. Factor q(s).\nAnswer: -2*(s - 1)*(7*s - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 292, 574, 858, 1144, 1432, 1722, 2014?\n\"Answer: y**2 + 279*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a hour in seconds?\nAnswer: 77400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28520, -57038, -85558, -114080, -142604, -171130?\nAnswer: -199658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 57. Calculate the smallest common multiple of 9 and c(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808*-166.\nAnswer: -134128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**3 + 27*w**3 + 164*w**3 - 237*w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 2718239730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 11:32 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (312*q + 256*q + 10 - 611*q)*(0 + 3 - 1).\nAnswer: -86*q + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1 + 2*k + 3 - 1 + 2 + k**2. Let y(a) = -1. Let g(q) = -q**3 + 5*q**2 + 7*q - 7. Let f = -2 - -8. Let w be g(f). Determine w*h(s) - 3*y(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1, -2\/15, 907, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 14*p**2 - 14*p - 15. Let b be m(15). Let y be (b\/(-5))\/(2*1) + 1. Solve -r + y = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/7))**(-2\/131)*(q*q**(3\/2))**20 assuming q is positive.\nAnswer: q**(45840\/917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 60*j**2 + 96*j - 129. List the prime factors of t(-57).\nAnswer: 2, 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10\/9)\/(j\/(j**2*j*j)))\/(j\/(j\/(j\/((j\/j**(4\/9))\/j)))*((j\/j**(3\/11))\/j)\/j) assuming j is positive.\nAnswer: j**(170\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 90 - 16*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 225143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - n = -573, -n - 2*n = 6. Suppose 30 = -5*y + c. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4029307241\/10 - -403479229. Let i = -549799 + h. Let v = -1298 - i. Calculate the common denominator of v and -7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/44 - 0) + 91*(-35)\/(-1001). Factor -2\/9*y + 2\/9 + 4\/9*y**z - 4\/9*y**2 + 2\/9*y**4 - 2\/9*y**5.\nAnswer: -2*(y - 1)**3*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12203 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:23 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335 or 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378095 = 51*u + 376922 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3052552 and 29102242.\nAnswer: 26049690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 8*n - 279 = -314 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.11447*0.5\nAnswer: -0.057235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Let l be y(4). Is 1\/5 + (-119)\/l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 26*z**2 - 47*z - 20. Let u be g(24). Solve -6*y + 2*y - u = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 + 2 = 0. Let r = 39323 + -39328. Sort z, 1, 5, r.\nAnswer: r, z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10201?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q + 12*q = 183436. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7913 - -7916. What is the fourth smallest value in -2\/13, 29.3, a, -2?\nAnswer: 29.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96720 rounded to the nearest one thousand?\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012699 rounded to five decimal places?\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(66) + sqrt(66) + sqrt(66))*-4*5)\/(6*(sqrt(72)*1 - sqrt(72) - sqrt(72))\/sqrt(3)).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -75, -164, -289, -450?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 2*w**3 - 4*w)*(3*w + 0*w - w) + 0*w**3 + 0*w**3 + w**4 + 0*w**4 + 0*w**4 + w**4 - 218*w**4 - 5725 + 5725.\nAnswer: -212*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l**2 - 1. Let c be d(1). What is the tens digit of (5 + c)*(-261)\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -593. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2849568 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211804 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(539)*3 + sqrt(539)))**2 + -4 + (-1 + (sqrt(48))**2 - (sqrt(3) + -4 + sqrt(363) + sqrt(363))))*-5.\nAnswer: -184255\/784 + 115*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18264312307+4\nAnswer: 18264312311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295249 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-180)*-10 + 1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 176.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2784 + 5577 + 2*f**2 - 4*f**2 - 2793.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 391, 568, 801, 1090?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*t. Suppose t*r - 2*r + 22 = 2*m, -3*r = -m - 1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*m - 607, 4*m - 643 = -3*l - 0*m. What is the remainder when l is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(325) + -2 + 5 + 0 + (sqrt(13)*-1)**2 + -4)*4.\nAnswer: 53 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 - 14 = -4*a, 2 = -z + 4*a. Suppose -b = z*b + 4*i - 5, 13 = 5*b + 2*i. Suppose -2*t = b*t + 25, 3*q - 5*t = 52. Solve 7 = -4*w - q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66089 or -66086?\nAnswer: -66089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 5*o**2 + 12*o - 18. What is i(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:12 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 548730064 a multiple of 2872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/16))**(-2\/47)\/(n*n*n**10*n*n*n**(-2\/29)) assuming n is positive.\nAnswer: n**(-151933\/10904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -21, -22, -53, -126, -253, -446, -717?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/2 - u. Let h(q) be the second derivative of 0 - 1\/6*q**3 + 0*q**2 + q. Calculate h(g(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2663, -5322, -7959, -10562, -13119?\nAnswer: -15618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 209.7361l?\nAnswer: 209736.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 160*a**2 - 580*a + 560.\nAnswer: -5*(a - 28)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 3*n**2 - 319*n - 2022. What is o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + 1 - (30 - (100 + -6))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 4)\/(-3)*0. Suppose w = -2*f + 70 + 2. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r + 1. Give m(7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -5 (c) 0.08 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 900.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:22 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19356 divided by 4.\nAnswer: -4839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(468))\/sqrt(12) - 3*sqrt(351))\/(sqrt(297)\/(sqrt(11)*2*-2)).\nAnswer: 28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 + -112?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -942 + 946. Let x = -0.12 - 0.27. Let k = -0.3 - x. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28242 + 1158 = 14*s. Suppose 2*p + 11*n = 9*n + 1038, 4*p - 2*n - s = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3322907 (base 11) to base 6\nAnswer: 324550444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216*x + 30591 = -8060 + 5441 - 17862 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-515)\/(-1236)*-12)\/((-10)\/46)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36936 - 14944. Let o = z - 22019.966. Let t = 28 + o. What is t rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(660)\/sqrt(44) - sqrt(60)))\/(-2*sqrt(144)\/sqrt(48)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/2 + 4594*w**3 + 18373*w**2\/2 + 4593*w = 0.\nAnswer: -9186, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -5. Let o = -2 + a. Let g be 230\/30 - (-16)\/(-2). What is the second smallest value in -3, o, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*((3 + 6*(0 + (sqrt(153)*-1 + -1 - (sqrt(153) + -1 + sqrt(153) + -2*sqrt(153)))))*-2)**2.\nAnswer: -432*sqrt(17) + 22072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*i - 1490 - 3299 - 2059 = -318*i. Suppose 0 = -5*h - 2*v, -4*h - v = -h. Solve h*p + i = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 4*j - 5. Let h be z(-4). Let v = h - -12. What is the third derivative of 5 - v + 2 - 2*l**2 - 3*l**3 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37294\/9 + 4144. Put 0.1, y, -0.3, -6\/5 in ascending order.\nAnswer: -6\/5, -0.3, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5104122 + -334?\nAnswer: -5104500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n - 3*n**2 + 6*n - n**4 + 4*n**2 + (1137 + 244 - 3321)*(2*n**4 + 0*n**4 - 4*n**4).\nAnswer: 3879*n**4 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugu when four letters picked without replacement from {k: 3, g: 3, a: 2, o: 1, u: 2, d: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1645 is divided by 138.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5238473 and 3193?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. What are the prime factors of (-2)\/(u*(-3)\/60)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let v be ((-1)\/(-2))\/(z\/4). Let r = 178\/133 + -20\/19. Do r and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14738649 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + j - 6 = 0, 4*j + 8 = t - 5*t. Let s(q) be the first derivative of -q**2\/2 + 3*q - 15. Let f be s(5). Is f at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - (-39874)\/10) + (-255)\/(-425)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 + 6655*p**3 + 59565*p**2 + 99025*p - 165250 = 0. What is p?\nAnswer: -1322, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 12*g = -4800. Suppose 16*o - 21*o = -g. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17 - -16)*8\/2. Sort -2, m, 8, 4 in decreasing order.\nAnswer: 8, 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 8, -40, -21 in descending order.\nAnswer: 8, 4, -4, -21, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*z = -2730*z + 138*z - 116328 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 10:01 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:46 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 - 2*r - 2. Let v(p) = 8*p**2 - 5*p - 5. Calculate 5*b(z) - 2*v(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166633*n - 10 = 166631*n, -5*n + 28 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 10. Let l(u) = 2. What is 3*l(v) - n(v)?\nAnswer: v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 511567650*n - 13085073026326125.\nAnswer: -5*(n - 51156765)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 8)*(2 - 3 + 4) + 3 - 1 - 3)*(-5*k**2 + 3*k**2 + k**2).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 2\/(-8) + (-50737)\/(-452).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 124 = k, 0*k - 2*k + q = -266. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 9)*(0 - 3*z - 4 + 4*z).\nAnswer: -7*z + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/((-20)\/(-30)). Suppose 4*i - 1 = 3. What is the nearest to i in 0.4, 2\/9, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 216. Let d(j) = -13*j - 20*j + b*j - 23*j. Let m(s) be the first derivative of 11*s**2 + 3. Calculate d(m(q)).\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9 - (-86)\/6. Is o < 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97505073 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -320374.6\nAnswer: -192224.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.872337 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 15 = -5*v, -2*v + 6 + 0 = 2*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 1. Let o be u(1). What is the highest common divisor of 65 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-448)\/1056*18\/77?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -477251\nAnswer: 334075.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*k + 7*i**3*t**3*y + 2*i**2*k*t**3 + 2*i*k*t**2*y - 258*k*y + 127*t**3*y + t*y wrt t.\nAnswer: 42*i**3*y + 12*i**2*k + 762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 80. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = 2*a + 348 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3\/(y\/y**(-7)))\/((y*y**(5\/6)\/y)\/(y*y**9)))**46 assuming y is positive.\nAnswer: y**(575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/5, -2\/9, -31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2119438.8 months?\nAnswer: 176619.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 7 = -3*m + 52*q, 3*m - 9 = 3*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/3))**(-10))**(-5\/6) assuming q is positive.\nAnswer: q**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -4780 and -778.\nAnswer: -5558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 1. Let g = 12 - 3. Suppose 4*m - m + g = 0. Let w be c(m). Calculate the highest common factor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -z. Let x be (z\/(-1))\/(-2) + -6. Let v be (x - -9)\/((-1)\/(-17)). Solve 4*w + v = 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(7*14\/(-441))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x + 1558 + 494 = 2*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -566? (a) 1 (b) -1\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2 + 11*y - 2 + 3 - 2 - y**3 - 4*y. Let b be r(8). What are the prime factors of ((-4)\/10)\/(b\/315)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 22 = -4*p, 3*p = -c - 6 - 1. Suppose -2*i = -3*m + 2*i - 3, c*m + 2*i = 12. Suppose 0 = -m*f + 21 - 42. Let b(d) = d + 3. Give b(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(5000))**2.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszsaszzzszzmss. What is prob of picking 1 a and 3 z?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1449531 and 1449550 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:04 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 414, 899, 1586, 2475, 3566, 4859?\nAnswer: 6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 14*o + 9. Let a be g(-15). Solve 0 = -5*k + k - 4*m - a, 0 = -4*k - 2*m - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2934 = -76*o - 260 - 926 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/380 and -23\/144?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 4*p**5\/5 + 17*p**3\/6 - 12*p. What is the second derivative of x(j) wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28 from 1788308.\nAnswer: 1788336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 6) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y. Let q(d) = -d**2 - 3*d. Let u(r) = r. Let a(l) = q(l) + 3*u(l). Determine m(a(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 669 - 680. Let l = -0.023 + -0.077. Put -2\/5, l, a in descending order.\nAnswer: l, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8253781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -134832 times 0.1\nAnswer: -13483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 72*o**2 - 128*o.\nAnswer: -4*o*(o + 2)*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*(q**(-8)*q)\/q)\/(q*q**0*q*q\/(q**(-2)\/q*q))*((q\/(((q\/(q\/(q\/q**(1\/3)))*q)\/q)\/q))\/((q\/(q**(-8)*q)*q)\/q))\/((q\/q**(-2))\/q)**23 assuming q is positive.\nAnswer: q**(-197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10)*6\/3*-90. Let z be (27\/(-2))\/((-1)\/24). What is the greatest common factor of z and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*2\/(-4)*2. Let g(a) be the first derivative of a**2\/2 + 8*a - 3. Let n be g(h). Solve -5*x + 5*j = 4 + 31, n = -x - 5*j + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*2\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u - 4. Let j be y(0). Let l = 36.37 + -36. Let t = l + -3.37. Which is the nearest to -2? (a) 0.4 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*u**2 - 402*u**2 + 41*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 64, 147, 272, 445, 672, 959, 1312?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(((-8)\/10)\/((-56)\/140)). What is the third smallest value in h, 1, 3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 53. Suppose 0 = 5*z + 4*x - 50, -4*x + 20 = -0. Calculate the remainder when n(z) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 60 = 9. Let f = a + 19. Factor -29*i**4 + 165*i**f + 14*i**3 + 9*i**5 + 10*i**3 - 169*i**2.\nAnswer: i**2*(i - 2)*(i - 1)*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60960 and 1656?\nAnswer: 4206240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-10))**(2\/7)\/((k\/(k**17\/k))\/(k*k\/(k**29\/k*k)*k)) assuming k is positive.\nAnswer: k**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08857505 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 23*h**2 - 15*h**2 + 0*h + 0*h - 28*h**2. Let g(w) = -2*w**2. Give d(g(q)).\nAnswer: -80*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -20819, 2\/5, 3\/5?\nAnswer: -20819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -0.576, 3, 71.\nAnswer: -0.576, -0.3, 0.1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 2 + 1*-4*sqrt(1053)*1)*-1)**2.\nAnswer: 2592*sqrt(13) + 606564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -245 - -244.6. Sort b, 3, -5, 1 in increasing order.\nAnswer: -5, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2117)\/116 - (1 - (-10)\/(-8)). Let q be 3\/o*-4*81\/18. Factor -2\/17*r + 0 - 4\/17*r**4 - 8\/17*r**2 - 10\/17*r**q.\nAnswer: -2*r*(r + 1)**2*(2*r + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.52959 rounded to zero decimal places?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p - 10*p + 1 - 2*p - 1 + (p + 2*p - 2*p)*(4 - 1 - 2) - 2*p + 3 - 3 + 2*p + 0*p + 0*p + (3 - 7 + 1)*(-3*p - 4 + 4)*(0 + 2 + 0).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2062 + -1199. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23 + ((-39)\/9)\/((-5)\/(-15)). Suppose 4*t = -0 + 12. Suppose t*y - 2 = 10. Solve -y*x = 10 + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + c = -12, 3*o + 2*c + 7 = 1. Solve g + 0 = -o*z - 1, 0 = z - 2*g + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 6*t + 7. Let l be g(5). Suppose a = -3*a - 4*z + 148, 2*z = l*a - 90. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 - 1063 = -18*t. Let y = t + -73. Let 3\/2*l + y + 1\/2*l**2 = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c - 240*c + 397 + 538 = -1450 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13308 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:13 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.27 - 1.73. What is the closest to -0.1 in -2, b, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -79.04. Let w = -1.96 - t. Sort w, -11, -5\/4 in decreasing order.\nAnswer: -5\/4, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 8:49 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32513102521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2 - f**2 + 0 + 2*f - 12*f. Let c be l(-5). Let j = 40 - c. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*y + 2*y - 14, -10 = 5*y. Let g(r) = 8*r + r**2 + 3*r**2 - 6*r**k. Let o(j) = -j. Let a(f) = -g(f) - 8*o(f). Let s(n) = 2*n. Calculate s(a(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbrrbbrbbbbbbbrbrz. Give prob of sequence br.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -791*s - 635*s + 2010*s - 3071*s + 89. Is n(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v*v*v**0*v))\/v)\/v*v**4\/v)\/(v*v**(-1))**(6\/11))\/((v\/v**(-1\/15))\/(v*v*v*v**(-6)\/v*v))**27 assuming v is positive.\nAnswer: v**(-559\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*72)\/(-9))\/((-2)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-56)*(2\/13 - (-1098)\/(-1053)). Which is the second biggest value? (a) -1\/1223 (b) 2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**4 - 2*h**3 + 3*h**2 - 2*h + 2. Let g(z) = 2*z**4 - z**3 + 2*z**2 - 3*z + 3. Let t(w) = -2*g(w) + 3*j(w). Suppose t(y) = 0. What is y?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*o - 100, -4*d + 2*d = -o + 47. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -2*h + 2 + 1\/2*h**2. What is the first derivative of d(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*z - 0. Find the third derivative of -4*p**2 - 5*p**6 + 0*p**z + 6*p**2 wrt p.\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -167*v - 8. Let b(u) = 673*u + 35. Give -9*a(c) - 2*b(c).\nAnswer: 157*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 81 = 2*b + 4*i, 0 + 4 = 2*i - 4*i + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1580.7.\nAnswer: 6322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 + 8765*k**2 + 43950*k = 0. What is k?\nAnswer: -5, 0, 1758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -1.3. Let u = 0.01537 + -0.21537. Which is the third smallest value? (a) m (b) u (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250849027 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 280 + -179. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 204599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11. Suppose -5*f + 12 - 7 = 0. Let u(q) = -q - 1. Let w(p) = f*j(p) - 6*u(p). What is the derivative of w(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*f + 47, -3*f + 7 = 5*x - 6. Find the first derivative of 24*g - f*g - 134 + 117 wrt g.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:39 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -1443865?\nAnswer: 1443864.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 34*n + 3. Suppose -3*v = -5*u + 7, 5*u = 2*v + 4*u. Let d be p(v). Let o = d - 37. Solve -4 = -2*k - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 913 - 876.3. Round z to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 888*y + 16560.\nAnswer: 3*(y + 20)*(y + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/140 - ((-1350)\/63)\/(-25)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889937*r - 53 = -889938*r for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1*(18 + -10). Let z(q) = 6*q**3 - 9*q**2 + 6*q - 4. Let k be z(v). What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d + 5*s + 362, 4*d = s + 370. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 8*y**2 - 7*y - 4. Give j(5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30331 (base 4) to base 5.\nAnswer: -11304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -366 * 0.0204002.\nAnswer: -7.4664732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 60, 1, 7 in decreasing order.\nAnswer: 60, 7, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 k when three letters picked without replacement from yekyyetletyette?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -48.9879. What is k rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s**(1\/2)\/s*s)))\/s)\/s)\/((s\/(s*s**(3\/10)))\/s) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-1)\/2)\/((-6)\/12). Suppose n = -3*b, 0 = -b + h*b + 2*n. Let q be (b\/3)\/(((-4)\/(-4))\/1). Solve -4*d = -0*g + 4*g, q = 2*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 38. Let j be (-12)\/4*2\/(-9). What is the second biggest value in j, 0.3, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (29 - ((-54 - 4) + 9)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/23))**23\/(c**(-3\/10)*c\/c**(-4)) assuming c is positive.\nAnswer: c**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -573 in 5, 5\/2, 0.1, 7, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 + 2*t**2 - 35*t - 1347. Let f(l) = 4*l**3 - l**2 + 21*l + 673. Calculate 5*f(u) + 3*g(u).\nAnswer: -u**3 + u**2 - 676","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 4. Suppose -8 = -v*q - 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = -2*h. Suppose -3*v + h*v = 12. Solve -b + 2 - v = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 1, n: 4, d: 6}. What is prob of sequence ny?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 4. Let f = -11 + 19. Suppose g + 3*i = 11, -g + f = 4*i + 1. What is the remainder when g is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 12005 = 1808. Suppose 3*h - 1940 = u. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*o - 42 + 172. Let r = 4 - 5. Which is the biggest value? (a) o (b) -0.03 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492443298 by -1.\nAnswer: -492443298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 12 = 2*g. Let i = -64 + 64. Suppose i = -31*p + 36*p - 290. Calculate the remainder when p is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 12*b + 5*o + 38 - 279, -4*o + 5*o - 53 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*k**3 - 59*k**3 - 110*k**3 + 2*k**2.\nAnswer: -128*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 42 + 192*k + 49.\nAnswer: 192*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2872, -1\/3, -3, 5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2969 is divided by 1483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -1012\nAnswer: 5\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m - 22*m - 17*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -153 and 6770084768751?\nAnswer: 6770084768904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 162?\nAnswer: 5\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 46*l**3 + l**2 - 4*l - 5. Is p(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/4 - 341941*q\/4 - 170971\/2 = 0.\nAnswer: -1, 341942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d**2 - d**2 + 2*d**2)*(-1 + 1 - d) + (2 + 1 - 1)*(9*d**3 + 6*d**3 - 8*d**3))*(54*d + 9*d + 20*d).\nAnswer: 913*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 433, 1591, 3473, 6079, 9409, 13463?\n\"Answer: 362*v**2 + 72*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2158917530 - -2.4\nAnswer: 2158917532.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 63 = 45 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3. Let k be o(1). Suppose 0*l - 15 = -k*l. Suppose l*r - 19 = 16. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20587 is divided by 1372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**2 + 14*k - 6. Let w(y) = 4*y**2 + 7*y - 3. Let h(t) = -3*d(t) + 5*w(t). What is the units digit of h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227484293?\nAnswer: 17, 31, 431659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25860 + -25875.853. Let k = d + 15.7. Let u = 0.15081 + k. Round u to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5681 + -265. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 8*d - 5. Let l = 17 + -6. What are the prime factors of j(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -267.\nAnswer: 53\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 16 + 3*f - 3 - 6 - 8 - 2 + 6*f**2. Give o(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 1343529?\nAnswer: 5374116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 40. Let n = o - 16. Calculate the remainder when 5 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -8*p**4 + 8*p + 100\/3*p**3 - 38*p**2 - 16. Factor c(v).\nAnswer: -4*(v - 2)*(v - 1)*(8*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.9*43.\nAnswer: -1070.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38*12638.2.\nAnswer: 4802.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*y - 6, 0*y - 4*y - 4 = -2*t. Suppose 3*n = -y*n + 54. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -p - 4*k, -392*p + 396*p - 7*k + 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -819510 + 0*n - 3*n + 819510.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 + r + 3. Suppose -3*b = 4 + 5. Let z be n(b). Suppose 5*w + q = 359, -2*q + 76 = w - 6*q. What is the highest common factor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/2)\/(24\/372))\/(3\/(-6)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1489746km to meters.\nAnswer: 148.9746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k = -84*k - 22. Suppose 2*z - k = -5*y + 83, 5*y = -z + 105. Calculate the greatest common divisor of 42 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*k - 1 = 1, 0 = -5*l + 5*k - 5. Let n be (l - 9)\/2 - 0. Let f(y) = 4*y**2 - 2*y - 15. Does 37 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - u + 40. Let w(l) = l**2 + l - 3. Give t(d) - 2*w(d).\nAnswer: 2*d**2 - 3*d + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tclclnltlll. Give prob of picking 1 t and 1 n.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7017332541 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 158811*a**2 + 635280*a + 635292.\nAnswer: -3*(a - 52941)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 1189*b**3 - 11 + 1043*b**3 - 18 - 2227*b**3 - 8.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 14*r**2 - 12*r + 11. Let t be b(-13). Is (-4 - -17)\/(t\/(-46)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265\/8 - -1695\/56. What is the biggest value in 3, m, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5177.\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-312)\/(-1950) + 872\/800. Factor 0*u + 7\/4*u**4 + 0 + 1\/4*u**5 + h*u**2 + 11\/4*u**3.\nAnswer: u**2*(u + 1)**2*(u + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/30*(-2)\/(-56). Let x = 1713\/770 - h. Find the common denominator of x and -99\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -41862*z + 6572319. What is l(157)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5547166504 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g - 6 + 1\/2*g**2 + 397*g**3. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*h - 96, -26827*q - 246 = -26831*q - 13*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*6\/(-6) - 4284712\/1050150. Let k = 2\/21003 + i. What is the common denominator of -117\/40 and k?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8\/(-24)*(0 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/20 and 99\/3220.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 1363132*b - 1363122*b = 38, -3*z + 5*b = 7 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -642 divided by 3\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12084147 less than or equal to -12084147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 591947.\nAnswer: 591947.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 - 14*3\/6. Let h = v - -18. Let f(o) = o**3 - 8*o**2 - 16*o - 24. What are the prime factors of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l + 192. Let b be u(-16). Suppose -642 - 712 = -5*d + 4*m, b = 2*d - 4*m - 532. What is the remainder when d is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 22 - 16 - 15.\nAnswer: 2*n - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y + 5. Let t = 2 - y. What is the third derivative of z**2 + t*z**5 + 5*z**2 - 3*z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {r: 1, y: 3, q: 4, c: 3, w: 5, f: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56.429 - 56.1. Let q = 1.045 - n. What is q rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d**(-1\/4)\/d))\/d))**(-40)\/(d\/(d\/(d\/(d*d**(-1)*d)))*d*d)**(-41))**(-3\/23) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2213455\nAnswer: -4\/2213455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1006.9, -27, 0, -2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-324)\/(-6264))\/((-3)\/4).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.25 + 2.85. Let y = 12.100077 - a. Round y to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + f**2 - 7*f**3 + 0*f - 10*f**2 + f in the form m*f + p + x*f**3 + l*f**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1796\/3 bigger than -598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/4 + -67\/12. Let s = 6 - 6.4. What is the closest to -0.5 in s, 0.1, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299157980 and 2420?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -39, -93, -169, -267, -387?\n\"Answer: -11*b**2 + b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*r - 5*f - 5, 2 = 2*r + f. Let q(n) = 45*n + 1. Let z(h) = 23*h + 1. Let b(t) = 4*q(t) - 7*z(t). Is b(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 39 = -z, -3*z + 50 = 5*o - 2*z. Let l(f) = -2*f + 4. Let r be l(2). Suppose 7*j + r*j = 28. What is the remainder when o is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148841 is divided by 748.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2010464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 174 = -9*p + 3*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.095959 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-126)\/(-5)*-20*(-2)\/24. Suppose 0 = -32*w + 25*w + y. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3, -12*k - 38 = -b - 9*k. Solve 10*p + 9 = -b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1696960756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is cd8 (base 14) in base 11?\nAnswer: 1a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -71*g**3 - 1017*g**2 + 1002*g + 13. Give y(1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 74378094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*z + 38*q - 43*q, 3*q = 3*z - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 30 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 5*u**2 - 8*u + 6. Let h be v(3). Suppose h = -22*t + 34*t - 4908. Is 33 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4979366*k**2. Let r(d) = -11*d. What is w(r(v))?\nAnswer: -602503286*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {f: 3, h: 3, u: 4, q: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 9*v**2 + 18*v - 7. Let y be c(-5). Suppose s - 2*s = y*s. Solve 3*m + s = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 + 133 = 5*t. Let w = t + 71. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -8, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23718.85 millennia in centuries?\nAnswer: 237188.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3808 (base 9) to base 6.\nAnswer: 21055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {u: 1, j: 2, g: 3, h: 1, x: 1, c: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = j - 13, -3*t + j - 11 = -j. Let b be 216\/52 + t + (-37)\/(-13). Solve r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (21 + -69)) + -27 + 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 89. Calculate the remainder when 12 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjubrurr. What is prob of picking 1 j, 1 r, and 2 u?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 + -150. Which is the nearest to t? (a) -3 (b) 0.5 (c) 21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-5))\/(i*((i**(-2\/11)*i)\/i)\/i))**22)**(4\/7) assuming i is positive.\nAnswer: i**(544\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 293. Let p(w) = 20*w - 27*w + 5*w. Determine p(m(t)).\nAnswer: 4*t + 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3697349, -3697359, -3697375, -3697397, -3697425?\nAnswer: -3697459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = 46*g - 436. What is the second biggest value in -1.2, g, -1, -2\/9, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c (base 13) to base 4.\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/3 - 28*h**3\/3 - 65*h**2 - 102*h = 0.\nAnswer: -3, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbxysbbxdxbq. What is prob of picking 1 d and 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 8072955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -25*f + 5*f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9051 and 2012339?\nAnswer: 6037017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -1*sqrt(170) - sqrt(170))*4)\/(sqrt(100)\/(sqrt(10) - (sqrt(50)\/sqrt(5) - sqrt(10)))) - (2*sqrt(5100))\/(3*sqrt(15)\/sqrt(5)).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 2*a + 2*a**3 - 88 + 88 in the form f*a**2 + l*a + r*a**3 + s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1213 - 7*b - 1213 - b**3 - 2*b**4 + 2*b**2 in the form o*b**2 + p*b**4 + c*b**3 + w + a*b and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + r - 1. What is the least common multiple of 5 and z(2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*j + 60*j - 86*j - 506 = 1494 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15058, 15074, 15090, 15106, 15122, 15138?\nAnswer: 15154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 2*k + 0*k)*(3*k - 3*k + 3*k) - 3*k + 3*k + 2*k**2 + (0 + 4 - 5)*(14 - 9 + 2*k + 7)*(2*k + 5*k - 6*k) to y*k + o*k**2 + u and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 - 112. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-4)))**(-26\/5)*(h*h\/(h\/((h**(-6\/5)*h)\/h)))**(-2\/23) assuming h is positive.\nAnswer: h**(-1792\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33*8\/18*9\/(-3). Is m greater than -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33855791, -33855793, -33855795?\n\"Answer: -2*v - 33855789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3525 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504 times -0.2?\nAnswer: -700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865959?\nAnswer: 3, 288653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*v + 49*v + 24*v)*(-4*v + 4*v + v + v - 16*v).\nAnswer: 126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.355 - 2550.\nAnswer: -2547.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212836.\nAnswer: 2, 13, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*x + 12 = -x, 0 = -2*p + 2*x. Let h(q) = -q**3 - 28*q**2 + 33*q + 138. What is the smallest common multiple of p and h(-29)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 - 3*h**2 - 2*h - 7. Let i be k(3). What is the greatest common factor of 57 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11594970 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2939 + 881. Let o = 2916 - b. List the prime factors of o.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.15 - 8. Let m = s - 0.05. Let t(o) = o + 14. Let h be t(-20). What is the smallest value in m, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7555, 15726, 23897, 32068?\n\"Answer: 8171*w - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -386*a + 390. Let j be p(1). Solve 12 = 10*i - 11*i + 5*f, 15 = i + j*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -4*c + 4, 3*i + 9 = 3*c. Solve -2*w = 3*m + 7, 2*m + c*m = -4*w - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t. Suppose -14*i + 3608 = 3342. Solve -3*o = -2*o + 2*w + 1, t = 3*o - 2*w + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157287 and -5.\nAnswer: 786435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/((-120)\/(-50))*(64\/122)\/(-4) and -59\/297.\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 - 11*b**3 + b**3)*((6 - 4 - 3)*(-1 + 0 + 9) + 13 + 17 - 9) to m*b + x*b**2 + p*b**3 + o and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from emzhxxh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**4\/24 - 85*m**2. Let b(d) be the third derivative of 0 + d**2 + 0*d**3 + 0*d + 1\/12*d**4. Calculate r(b(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -11. Let t be 2\/(-8) + (-578)\/(-8). Calculate the greatest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193718*w*y - w - 364063*y wrt w.\nAnswer: -193718*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 674*u**2 - u - 2. Is j(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21078376 and 1408?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 27*k - 20*k - 2*k**3.\nAnswer: -2*k**3 - 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 0.224.\nAnswer: -0.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*u + 31 + 9*u - 32 + (0*u - u + 2*u)*(2 - 3 + 0).\nAnswer: -70*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(50)\/((sqrt(10) + (sqrt(10) - sqrt(50)\/sqrt(5)))*2) - (sqrt(2835)*-3 - sqrt(2835))\/((sqrt(77)*1)\/sqrt(11)).\nAnswer: -6 + 73*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185.4 + 180.4. Suppose 0 = 5*b - a - 21, 5*a - 10 = 5*b - 3*b. Let s be 2\/(-7) - 5\/(-7). Put b, s, f in ascending order.\nAnswer: f, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68833 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbttkgktkbgk. Give prob of picking 1 b and 1 k.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45612 + -39?\nAnswer: -45651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674375037?\nAnswer: 1249, 2141213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63028, -63119, -63210, -63301, -63392, -63483?\n\"Answer: -91*z - 62937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40274 is divided by 3659.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/3 - 5. Let x = 10.1 - 9.7. Let p = 0.6 - 0.1. Which is the closest to y? (a) 2\/13 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 7\/(14\/(-4)). Sort -1, -4, u in ascending order.\nAnswer: -4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*j + 41*j = -1495. Is j > 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, -29, -130, -271, -452, -673?\n\"Answer: -20*p**2 - p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5449869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 71*l + 4. Let b(f) = 6319*f + 355. What is -4*b(j) + 355*y(j)?\nAnswer: -71*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - s**3 - 5599 + 11*s**2 - 11*s**2.\nAnswer: 3*s**3 - 5599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {f: 1, x: 1, w: 4, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 71369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((4\/10)\/(24\/(-30))). Suppose -o*u + 24 = 4. Suppose u*w = -0*w + 505. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67318084*a**2 - 10924438 wrt a.\nAnswer: -134636168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68027244 by 134.\nAnswer: 507666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 - 523820*n\/7 + 54455648\/7.\nAnswer: 2*(n - 261806)*(n - 104)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + 24. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 + 116*h + 1275. Calculate t(-10).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d + 3. Let f(a) = 115*a + 38 - 24 - 85*a. What is -3*f(n) + 14*k(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -69. Solve 2*c + r - w = 4, 4*r = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*m + 3*m - 6, 2*m = 0. Let w = -7 + 6. Is 16 a factor of 33 - w - 6\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58928, 58876, 58786, 58658, 58492, 58288, 58046?\n\"Answer: -19*z**2 + 5*z + 58942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 659 - 659 - 94*v**2 in the form z*v**2 + k + q*v and give z.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9607908259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3043*q - 386420. Calculate o(127).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891055, -891054, -891053?\nAnswer: -891052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 197*k + 7320. Calculate d(92).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2, 265\/7, 7\/687?\nAnswer: 7\/687","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 217555\/58 or 3750?\nAnswer: 217555\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:00 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*i*m*t**2 - 214*i*m + 2*i*t**2 + i*t - 5*t**2 - 3*t wrt t?\nAnswer: -60*i*m + 4*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -184.54591+-0.4\nAnswer: -184.94591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-12504)\/(-2605)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/(-880))\/(2\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 12 + 17)*(-147 - 12*p + 147) to the form m*p + q and give m.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -207, -1320 in ascending order.\nAnswer: -1320, -207, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 5, q: 3, v: 2, z: 1}. Give prob of sequence zp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/((-1755)\/(-90))*-1*(-3)\/(-177)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*z**2 + 0*z**2 - 15*z - 24*z + 59*z - 13*z to r*z**2 + j + t*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 1) + (-54 - -46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3)*(-34)\/(-34))\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 1. Let l(h) = -h**2 + h - 2. Let z be l(0). Let o be 14\/(-6)*(-3)\/1. Let q = o + z. Give x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-2*d + 5 + d - 4)*(-6*d**3 + 0*d**3 + 3*d**3).\nAnswer: -9*d**4 + 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31437, -62988, -94537, -126084, -157629?\n\"Answer: x**2 - 31554*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -2 (c) -411.6 (d) 1\/645\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 49, -8, -119, -302, -575, -956, -1463?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -0.4 (c) 132\/13 (d) -766\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 44*w = -3. Let d = -13 - -18. Put 1, d, w, 11 in decreasing order.\nAnswer: 11, d, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 23 = -648*q + 647*q. What is the remainder when q is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 4. Let a be v(2). Find the second derivative of 0*f**5 - f**5 - 4*f**5 - a*f wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7949*h - 95408. Give k(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/47410243 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 2, d: 6, m: 2}. What is prob of sequence dd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68784596, 68784604, 68784626, 68784668, 68784736?\nAnswer: 68784836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -72, 1, -1, -2.\nAnswer: -72, -42, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 107177670 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -2560?\nAnswer: -17\/2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014028 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 791597, 1583195, 2374793, 3166391?\nAnswer: 3957989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -430*j - 86. Let y(c) = 39*c + 8. Let b(w) = -41*w - 2. Let n be b(1). Let h(q) = n*y(q) - 4*i(q). Let s(u) = -3*u**2. What is h(s(k))?\nAnswer: -129*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t**(15\/4))**12 assuming t is positive.\nAnswer: t**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6752841 is divided by 74207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:34 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 13589.\nAnswer: 13589.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 68714.75 centuries?\nAnswer: 687147.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(-3 + 1*sqrt(13))**2 - ((sqrt(13) - (sqrt(13)*2 + sqrt(13) + 5))**2 + 2*sqrt(13) + -4).\nAnswer: -112 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a. Let o = 18 + -12. Let c(m) = -m**2 + 7*m - 3. Let f be c(o). Let z(i) = -f*i - 3*i + 4*i. Give z(u(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 13*t**2 + 4*t - 10. Give p(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-5 - -1) - -6629216. Suppose 0 = 4*y + d - f - 10810784, -2*d = -y + 4359992. Round y to the nearest one hundred thousand.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 - 12 = 0. Let o be p\/6 - (-145199989)\/33. Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27384 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1 + 1) + 8. Suppose -y*p - 9 = -49. Solve r = i - 3*i + 1, r - 1 = -p*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-362)\/4)\/((-3)\/17). Let j = 520 - w. Let r = -96 - -716\/7. Find the common denominator of r and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 24689.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2) - ((sqrt(98) - sqrt(98)*-1) + sqrt(98)))*-5)**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t. Let k(f) = -2*f + 0*f + 0*f - f - 5*f. Calculate k(l(o)).\nAnswer: 120*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-49)*9030\/15480.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5412 and 702699?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(98) - (sqrt(98) + (1 + sqrt(98) - sqrt(98)))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(1*sqrt(450))\/sqrt(9)*3)**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19157475.27 from 0.04.\nAnswer: 19157475.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35, -38, -45, -56, -71, -90, -113?\n\"Answer: -2*p**2 + 3*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 30156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1\/5))\/m)\/m**(-3\/13))**(-5)\/((((m\/((m**(-2\/7)*m)\/m*m*m)*m)\/m)\/m)\/(m*m*m**(3\/7)*m))**(2\/59) assuming m is positive.\nAnswer: m**(-10628\/5369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -38*r + 1. Let q be v(1). Let d = -26 - q. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*n + b + 22, 0 = -5*b + 10. What is the second derivative of -2*g + 9*g - g**n + 15*g**4 + 0*g wrt g?\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71070, 142042, 213014, 283986, 354958?\n\"Answer: 70972*a + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(0 + 2490\/(-4)). Let y be o\/(-50) + 3\/5. Let m be y\/9*(736 + 8). What is m rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -l + 1, 4*a = -5*l + l. Let y(i) = -36*i**3 + 4*i**2 + 3*i + 2. What is the remainder when y(l) is divided by 2*1*(-210)\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 120, 131, 150, 177, 212?\n\"Answer: 4*h**2 - h + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(-24)*a**7\/a**(2\/25))\/(a\/((a**(-3\/2)*a)\/a)*a*a*a\/((a\/(a**10*a*a))\/a))**30 assuming a is positive.\nAnswer: a**(-12552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*c - 5*g, 4*c - g - 44 = -14. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76415.1 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 200 = 40. Calculate the greatest common factor of 72 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -1\/15*t**5 + 0 + 0*t**7 + 0*t**4 + 1\/112*t**8 + 0*t**3 + 0*t**6 + 0*t - 3*t**2. What is the third derivative of l(j) wrt j?\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**2 - 50*u + 2652 = 0.\nAnswer: -51, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) -0.1 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 18*d - 17. What is w(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*q + 259, 4*q = 2 + 2. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -6, 4, 0.1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40139 + 40138.999981141. Round d to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) -3 (b) -5\/7 (c) -0.2 (d) -0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ghg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 113 = -4*h, 5*g + 256 = 5*h + 61. Let x = -25 - g. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 6)*((-4)\/(-18064))\/(-1). Let d = 4519\/6774 + f. Let d*q**2 - 1\/3 + 1\/2*q**3 - 5\/6*q = 0. Calculate q.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41150568*q - 321465\/2*q**3 - 1707\/2*q**4 - 41807226 - 19597173\/2*q**2 - 3\/2*q**5.\nAnswer: -3*(q - 2)**2*(q + 191)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -23. Suppose a = -3*a - k*m + 2956, 4*a = 2*m + 2940. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063.496 hours in seconds?\nAnswer: 11028585.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/175 or 0?\nAnswer: 3\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.29 + 3.71. Let v = -3.4 + d. Which is the nearest to v? (a) -5\/3 (b) -2\/19 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 7) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, t: 4, p: 1, z: 5, q: 1}. What is prob of picking 1 f and 1 q?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (75\/(-10) - -9)\/((-30)\/(-1472)). Which is smaller: f or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -286*l - 15. Let t be s(22). Let o = -13843 - t. What are the prime factors of (-4)\/22 - o\/66?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*u + 6 + 4, -10 = -3*c + u. Solve 5*k - c*z - z = -14, -5*k - 5*z = 30 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3142738 - -3142888.9911. Let c = -151 + y. What is c rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17812.\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 40*u - 23. What is l(12)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-55)\/(-22))\/((-6)\/(-4)). Determine y, given that 1\/3*y**3 - 4\/3 - s*y**2 + 8\/3*y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 0. Suppose -79*x + 18*x - 61 = 0. What is the nearest to x in -4, -8, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2724, -21816, -73626, -174510, -340824, -588924, -935166, -1395906?\nAnswer: -1987500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398624 is divided by 885.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32671?\nAnswer: 37, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472\/3 + -159. Let c = -25 + 17. Let w = c + 8.3. What is the nearest to 1 in 5, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5222469 by -55.\nAnswer: -5222469\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w - r, 335*r = -5*w + 331*r - 35. Put -4, w, -1, 0, 5 in decreasing order.\nAnswer: 5, 0, -1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.2 + 18.2. Which is the nearest to 2\/13? (a) w (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1469 - 1442 + 2911 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 2*b**2 - 2*b - 1. Let r(i) = -i**2 + 5*i + 12. Let l be r(-2). Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d**2 + 10*d + 15. Let g(q) = -3*q**2 - 16*q - 9. Let v be g(-5). What is the remainder when o(v) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7101 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 4\/15 (c) -2.76037 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2413*j**3 + 1325*j**3 + 4257*j**3 + 3)*(-3 + 2 + 4*j - 6*j).\nAnswer: -15990*j**4 - 7995*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859 + 855 - 2548 + 834 + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-5) - (-8908)\/306?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.88 - -7. Let u = -159 + 160.88. Let m = u + o. Which is the third smallest value? (a) -2\/7 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 1.1. Let s = 4 + h. Let p be (-58)\/20 + (6 - 3). What is the nearest to 1 in s, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 28 - 2. Let y be g\/4 + 1060\/8. Suppose -14 = 4*u - y. Solve -o - 20 = -0*p - 3*p, 0 = 3*o - 3*p + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1020 and 61\/714.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {x: 4, r: 1, j: 8}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + 0 + -1 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 41*s**2 + 4*s - 5. Let x(y) = -165*y**2 - 15*y + 19. Let k(h) = 9*i(h) + 2*x(h). Let w be (55\/(-33) + 3)\/(1\/3). Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 + 16998*v - 17000 = 0.\nAnswer: -8500, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 5 - (-3 - 1) - (-23 + 19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-384)\/756 + 4\/18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a - 3*a + 0*a + 6*a. Let t(r) be the second derivative of 2*r - 1\/6*r**3 + 0*r**2 + 0. Give t(k(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/2)\/(1 - 2). Let y(n) = -2*n + 4. Let b be y(p). Let j be 4\/b + 4\/5. Solve -o - 5*u + j = 29, 0 = -2*o - 3*u - 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 - 7*i**4\/12 + i**3\/3 - i**2 - 3406*i. Let m be 2\/(-4) - 91\/14. Determine t(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/27 - (-1796)\/18. Let a be (-1 + -59)*(-40)\/i. What is the greatest common factor of a and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(-1)\/9 - 132\/(-594). Suppose -p = 2*r + 4, -4*r + 3*p - 9 = -3*r. Let i(m) = 6*m. Let o(v) = -v. Let d(u) = r*o(u) + i(u). What is d(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5258 and 123398?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8*k + 10 = 0. Suppose b - 3 = -2*r - 1, -r = b - k. Suppose 3*g + 4*u - 82 = b, -g + 22 = -0*g + 4*u. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 5*y**2 - 2*y + 3. What are the prime factors of j(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 16 - 27 = 3*w, w = -r - 7 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -51 + 23 + z + 28 + 4*z**2 + 7*z**2. Let d(y) = 3*y. What is f(d(p))?\nAnswer: 99*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -4 - sqrt(1377)) + 3 - ((sqrt(1377) - (-1*sqrt(1377) + -1)) + sqrt(1377)).\nAnswer: -27*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(1\/6). Let t be 2\/v*(-125 - 1). Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363863456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (2*sqrt(80) + -1)) + -1)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3450616 (base 9) to base 7\nAnswer: 21561615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 (base 4) in base 11?\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**5\/10 - 99*t**4\/8 + t**3\/6 + 99*t**2\/4 - 1742. Factor v(h).\nAnswer: -h*(h - 1)*(h + 1)*(h + 99)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2716 divided by -14.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.4 (c) -2\/65 (d) 167 (e) 3 (f) -19 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.799 equal to 0.2244454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-16 + 11 - (1 - -2)) + -34 + 17?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.09719kg to grams.\nAnswer: 87097.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.072 times -1317\nAnswer: 94.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + r = 3*r, 3*r = -3*b. Suppose -i = d - 9 - 7, 59 = 4*i - d. Suppose -1215*l + 1200*l + i = 0. Put l, 2, b in ascending order.\nAnswer: b, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*s + t, 3*t + 47 = 5*s - 0*s. Suppose s = 5*i - 3*i. Let c(l) = 4*l - 2*l - 2*l + i*l. Let a(j) = 2*j**2. Calculate c(a(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = x - 1264, -1 = 5*x - 21. Let b = -3776\/9 + m. Let t be (-1)\/4 - 4\/(-4). Sort 1, t, b, 3\/11 in descending order.\nAnswer: 1, t, b, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ab + -3aa8?\nAnswer: -4086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 12*m**2 - 3826*m + 45919. Give u(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.52 in 1\/10, 2\/3, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*z + 172740 + 85210. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 357\/12 - 4\/(-16). Let u = 31 - w. Let t be ((-5)\/2 - 0)\/(u\/(-8)). Solve -4*a - 22 = -t*o, o - a - 7 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62\/6 - (-2)\/(-6). Which is smaller: 11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 e, and 1 o when four letters picked without replacement from {c: 5, u: 4, e: 2, o: 2, y: 7}?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2024232 is divided by 1012112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, f: 4, e: 3}. Give prob of sequence frr.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4640874 is divided by 145.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1456*q - 1467. What is x(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.47 + 7.47. What is the closest to 0.8 in v, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-14)\/(h\/(h*(h**(-2\/7)*h)\/h*h*h))**38 assuming h is positive.\nAnswer: h**(358\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 802*n**4 - 6*n**2 - 7*n + 1. Let x(y) = 2411*y**4 - 19*y**2 - 22*y + 4. Let m(w) = -8*o(w) + 3*x(w). Find the third derivative of m(l) wrt l.\nAnswer: 19608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93512269 and 707890?\nAnswer: 935122690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 32. Let s = -50 + a. Let t = s + 56. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1510 divide 9491484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 204479\nAnswer: 204471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7. Let c(d) = 38. Let r(i) = -4*c(i) + 22*g(i). Let t(p) = -20*p**2 + 44. Let u(h) = 44*r(h) - 2*t(h). Let z(m) = -2*m**2. Give z(u(j)).\nAnswer: -3200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4*(-12)\/15*-2. What is r in 0*r**3 + 2\/5 - 4\/5*r**2 + 0*r + a*r**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3254\/920 + (-1 - (-42)\/46) and -115\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 9. Let c be m(7). Is 2 a factor of c\/4 - 6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u**2 - 31*u**2 - 50*u**2)*(0 - 7 + 1 - 3 + 2 + 0 + (-4 + 3 + 2)*(-1 + 4 - 2) - 1 + 1 + 2 - 1 + 1 - 1).\nAnswer: 470*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izqiqqqiipqqqiqziqiq. What is prob of picking 4 i?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -408, -1417, -3264, -6213, -10528?\nAnswer: -16473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + u**2 + 1048. What is the thousands digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 406.45 in -1, 0.4, -4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8278 + -4510. Suppose 2671 = -0*x - x. Let w = x + j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4\/4 - 13*t**3\/3 + 11*t**2 - 5*t + 411. Calculate u(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfllllollllll. Give prob of picking 1 l and 2 f.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20*g + 22. Let y be r(1). Let h(f) = -222*f**2 - 221*f**y + 14*f + 442*f**2. Calculate h(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 12*g + 3. Give b(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3427, -6901, -10387, -13891, -17419, -20977, -24571, -28207?\n\"Answer: -t**3 - 3467*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13344\/(-840) - -15) + (-2)\/(-7). Which is the second smallest value? (a) -210.3 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -0*n - 63. Let s(o) = 13*o**3 - 9*o**2 - 25*o + 5. Let b(q) = 3*q**3 - 2*q**2 - 6*q + 1. What is n*b(p) + 2*s(p)?\nAnswer: -p**3 + 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 - -111.000000036. What is y rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3913.09247 times 0.5?\nAnswer: -1956.546235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -50. Let p(y) = -2*y + 3. Let x(k) = -2*k + 4. What is q*p(m) - 2*x(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*o**2*v*z**2 - 6*o**2*v + 20*o**2*z - o*z - 2*v*z**2 - 16172*v wrt o.\nAnswer: 52*v*z**2 - 12*v + 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-2 - -4 - 12 - 4 - (-38 - -32))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 80. Let x(z) = 3*z - 21*z**3 - 5 - 17*z**3 + 39*z**3 - 6 - 8*z**2. What is the remainder when j is divided by x(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*s + 3413 - 12070 - 19901 = 6005 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10320 (base 9) to base 12.\nAnswer: -3b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*o = -93*o - 40. Suppose o*s = 285 + 825. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**4 - 16862*j**3\/7 - 1936*j**2\/7 + 1928*j\/7 = 0.\nAnswer: -2\/5, 0, 2\/7, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 29.\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 364 + -2?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71661.72 grams in micrograms?\nAnswer: 71661720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -27089489577.\nAnswer: -27089489578.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 267*o + 4. Let h be f(3). Find the common denominator of (-2)\/3 - h\/(-60) and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 37, -14 in increasing order.\nAnswer: -14, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8758, 19877, 31006, 42145?\nAnswer: 53294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721b (base 15) in base 16?\nAnswer: 1e9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67681959023 + -409.\nAnswer: -67681959432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-166)\/(-747)*(0 + 9). Let r be p\/(-10)*(-189)\/7. Factor r*l + 18\/5*l**2 + 0 + 3\/5*l**3.\nAnswer: 3*l*(l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -38 - (17 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105564, 106221, 106878, 107535, 108192?\nAnswer: 108849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5064291 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 - 9 - -4 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - m. Let v(j) = 31*j + 4*j**2 - 33*j - j**2 + 1. What is -4*i(y) + 3*v(y)?\nAnswer: y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-10\/7)*y)**(6\/17) assuming y is positive.\nAnswer: y**(24\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27247, -218060, -735981, -1744564, -3407363, -5887932, -9349825?\n\"Answer: -27259*n**3 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggmgffmfmug. Give prob of picking 1 m and 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1235.119 and 0.35?\nAnswer: 432.29165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/3 - 5*c**2\/2 - 5*c - 1. Give m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6884 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*575.85.\nAnswer: 57.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6408 divided by -2136\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:12 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 2104*g + 276676.\nAnswer: 4*(g - 263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/((-504)\/(-18)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -7, 1, -3.\nAnswer: -7, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646705 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25232 (base 6) to base 3\nAnswer: 12011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-5 - 1) + -7 + 7 + 1023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-46)\/22425*10?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 12*s + 36. Let f be r(-3). Suppose 0 = f*x + 3 + 24. Suppose -3*n = -6*n - 12. Sort -1, x, n, -69.\nAnswer: -69, n, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313125 by 2505.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14013 and 810.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 10. Let i be 8 - (0 - (3 + -2 + -4)). Calculate the remainder when s(i) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or 994?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 7, -3 in decreasing order.\nAnswer: 7, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 94. Suppose 329 = 3*o - 2*b, 2*o = -b - 0*b + 217. Let w = z - o. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4903*g**3 - 4902*g**3 + 9807*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*r + 7*b**2*v - 2*b**2 + b*r*v + 7*b*r - 3*b + 145917*r*v - 32004*v wrt r.\nAnswer: -b**2 + b*v + 7*b + 145917*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4709221433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 z when three letters picked without replacement from {q: 2, z: 7, k: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Let k be (-3*(2 - 3))\/((-210)\/20). Is k greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 39*t - 56*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**7\/8820 - o**6\/2520 - o**4\/24 - 3*o**2. Let v(m) be the second derivative of x(m). Determine a so that v(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4452\/(-7791)*42\/(-4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300 - -121. Let x = -113 - l. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43216 by 1168.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = 4*u - 3*u, 2*u = -w - 9. Let m be ((-2)\/w)\/(7\/56). Is 8 a factor of ((-4)\/(-8))\/((-1)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 11648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2518775*m**3 + 778*m**2 - 778*m. Let j(q) = -9725*q**3 + 3*q**2 - 3*q. Determine 778*j(c) - 3*z(c).\nAnswer: -9725*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**2 + 109*n**2 + 112*n**2 - 51*n**2 + 0*n**2.\nAnswer: 199*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 106, 103, 100, 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -36?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457196 is divided by 9727.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from ffoddofofod.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 146 = 2*f, -5*f - 43 = 11487*s - 11486*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -17. Let c = 18.999991 - v. What is c rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-70) + 2*4\/56.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6*4\/(-16)*9\/(216\/(-800)) and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 65 = -5*i, -3*q = 27*i - 22*i + 40. Which is the closest to 1? (a) 3 (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1088, 1102, 1118, 1136, 1156, 1178?\n\"Answer: m**2 + 11*m + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6785894242?\nAnswer: 2, 43, 78905747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 - 26\/(-3). Let z = b + 53. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(390)\/(sqrt(60)\/(sqrt(6) + sqrt(150) - sqrt(6))))\/(sqrt(3) - sqrt(6)\/sqrt(2)*5 - sqrt(27)\/sqrt(225)))**2.\nAnswer: 100*sqrt(13)\/21 + 9889\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-2)\/(-1))\/(-6))\/(12\/(-108)). Let w(r) = 16*r**3 + 2*r**2 - 8*r + 13. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z + 6. Suppose -z*m = -2*m + 16. Let w(d) = -d - 4. Let s be w(m). Is s equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83674 at least -83682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*b - 398*b + 1 - 180*b - 1 to the form c + j*b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/36 and 62\/135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 + (14 - (-1 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -124*m**3 - m**2 - 2*m - 1. Let n = -47 - -52. Let h(d) = 4*d - 21. Let l be h(n). Is b(l) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1203\/(-405) - (0 - 3). Let x = l - -242\/945. Solve 0 - 2\/7*r**2 + x*r = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 11. Let g be b(-3). Let d be 5\/10*(-4 - 4). Sort g, 3, 1, d in increasing order.\nAnswer: d, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26049232?\nAnswer: 2, 11, 89, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(40)\/sqrt(5)))**2 - (-1 + sqrt(19) + -3) - -2*(sqrt(684) + 1 + 0).\nAnswer: 25 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 0.05 in descending order.\nAnswer: 4, 0.05, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-21)\/42 + (-13)\/(-2) and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o + 9658 + 8520 = 17120 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3210*b - 26 - 19 + 2955*b + 45.\nAnswer: -255*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9683 + -222751\/23. Let n = 302\/115 + g. Let u = -0.3 + 1.3. Is n <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139309 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -51 - r**3 + 95 - 29*r**2 + 34*r**2 - r - 45 + 2*r. Give y(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12907*i + 322634. Calculate p(25).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-1*-4*5)\/(sqrt(176)*2 - (sqrt(176)\/sqrt(4) - sqrt(11))).\nAnswer: 20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0 + 2*w - 135001\/6*w**3 + w**2. Let m be l(2). What is m rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.56 + 0.44. Let w = -0.4 + -4.6. Let i = g + w. Which is the biggest value? (a) -0.3 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*w - 27, -26 = 2*w + 5*l - 17 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.039*56506\nAnswer: 2203.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/1)\/3*-5. Let z(b) = b + 1. Let u(k) = -1. Let m(o) = -u(o) - 2*z(o). List the prime factors of m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g - 42. What is the highest common divisor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/12 + 43*f - 4. Let y(a) = 129*a**2. Determine y(v(q)).\nAnswer: 129*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -408\/1631 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 41*o + 175 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.7 to the nearest 10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41925 - -41735.73. Let u = k - -177.6. Let c = u - -12. Round c to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37518 + 5 + (-10 - 28\/(-4))?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**3 - 3*k**3 + 4*k**3 - 2*k**2 - 6*k**2 wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -19 - ((-5 - 1) + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.07, 20567, -1\/2?\nAnswer: 20567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30328, 30306, 30284, 30262?\n\"Answer: -22*p + 30350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5\/7 + 637*f**4 + 8929*f**3\/7 - 31207*f**2\/7 - 12744*f - 53532\/7 = 0.\nAnswer: -2, -1, 3, 4461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 260\/7, -3, -24 in increasing order.\nAnswer: -24, -3, 260\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8056.7 - -8473. Let h = 416 - v. What is the biggest value in 0.3, -0.1, 4\/9, h?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*v = 16, 0*c - 4 = -2*c - v. Let b(w) be the first derivative of -1\/3*w**6 + 8\/3*w**3 + 2 - 3*w**4 - w**2 + c*w + 8\/5*w**5. Factor b(o).\nAnswer: -2*o*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81\/70 - -13\/10. Let p = 7 - 7.04. Let w = -0.14 - p. What is the closest to 3 in w, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = -w + 13*z + 17, 38 = 4*w - 5*z for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7901230 to the nearest 10000.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251175 is divided by 3059.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1 + 2 + -3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2409367254 and 644?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrpyiiriyx. What is prob of sequence xirr?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*v + 42086 - 43420 = 0 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9044 - -0.5396.\nAnswer: -9043.4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46162728?\nAnswer: 2, 3, 367, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let z = 0.993 - -0.237. Let v = 0.23 - z. Which is the nearest to v? (a) 2\/7 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(70)*-5 - sqrt(70) - sqrt(70) - 2*sqrt(70)*4)\/(sqrt(90)\/(-4*sqrt(1089))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -24 + (4 - 0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094*f - 7196 = 27812 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(112) - sqrt(112)*3)).\nAnswer: -32*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 3*r = -27. Is (-2)\/(-4)*(-2 - (r - 1819)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 2:31 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 13. Let t be u(11). Let m be (2 + -6)*t\/4. Solve 3*n + 6*x = m*x + 23, -3*x = -n - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26958217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -48, 4, 74, 162, 268, 392?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69112 or 68993?\nAnswer: 68993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.1 (b) 2221544 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duu when three letters picked without replacement from dciuuuudccduduzzduu?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -29*l + 45*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p + 1. Suppose -1 = -j - 2. Let w be x(j). Suppose -3*h + 0*i - 2*i + 15 = 0, 5*h = 2*i + w. Solve -2*g - 4 + 19 = h*k, 0 = k - g - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/q**(2\/17))\/q)\/q)\/q**(-3\/11)*q**(-1\/10)\/((q\/((q\/(q*q**(-10\/7)*q))\/q))\/q))**12 assuming q is positive.\nAnswer: q**(-40554\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/279 - -553\/1395. Which is the third biggest value? (a) p (b) 6\/13 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 26*k + 51. Let v be c(-22). Let z = 42 + v. Suppose 642 = z*l + 92. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 65 = 5*q - 8*t, 0 = -4*q + t + 40. Suppose -5*m + 0 - q = 3*o, -5*o - 3*m = -1. Solve 3 = 5*l - 2*s + 2, 0 = -s + o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - -61 - (0 - -2) - (87 + 22)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s**2 - 25*s**2 + 10*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = l, 4*l = 2*u - 10 - 0. Let v = 0 - l. Let i be (2\/1)\/(-2 - 7). Which is the smallest value? (a) v (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 59. Let n(x) = 10*x + 355. Let a(l) = -25*g(l) - 4*n(l). Calculate the remainder when a(-4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let k(o) be the first derivative of 0*o + 1 + 0*o**2 - 2\/3*o**3. What is b(k(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p + 8. Suppose -4*x = -2*f + 26, 0*f = -f - 1. Calculate g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8477.41 to the nearest 10.\nAnswer: -8480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.569770024 rounded to three decimal places?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*c - 1820 = -a - 434, -2*c - 5*a + 4 + 71 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 1, m: 5, t: 3, v: 2}. Give prob of sequence clcm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3463300*t - 45*t**2 + 3463297*t - 6926597*t.\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.154.\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7574, 7736, 7898, 8060?\nAnswer: 8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 1, 9\/46, 0.255?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:54 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*c - 9*c + 50*c in the form r*c + q and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 - 3*q**2 + 6*q - 5. Suppose y = -3 + 7. Is g(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90600 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/44*(-396)\/3024*6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 2, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14 and (-234)\/27 + 5 - 2\/(-9)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 26. Let j(i) = 694*i + 576*i**2 - 866*i**2 - 694*i. Calculate u(j(k)).\nAnswer: -252300*k**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50229 or 50230?\nAnswer: 50230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -86*o**2 + 1453*o + 63. Give r(17).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -187*f**2 + 1090*f + 185. Give h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*u + 26*u - 33. Let l(m) = m**2 + 7*m + 7. Give l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 8*t + 4. Let j be -1 - -2 - 0 - (1 + -6). Suppose -4*r - d - 57 = -j*d, 3*d = r + 23. Let v be k(r). Solve -f = v*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/15*12*(89 - -5). Calculate the highest common factor of 160 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecccbcjjcce. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47296, -47326, -47374, -47440, -47524?\n\"Answer: -9*l**2 - 3*l - 47284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2)\/12 - (819\/(-54) - -13)) + 4 and 818?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 9*k**2 - k + 3. Let n be j(-5). What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.1 * -2\nAnswer: 36.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-265)\/6890 + 516\/(-2808)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1224 + -1226. Put -10, 0, 7, r in decreasing order.\nAnswer: 7, 0, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*j**2 + 22*j + 35*j - 92*j)*(5*j - j + 2*j).\nAnswer: -18*j**3 - 210*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6465 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 22538164?\nAnswer: -22538168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995 is divided by 600.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 269*y**2 + 5*y - 1. What is the hundreds digit of c(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83612, 77012, 70424, 63854, 57308, 50792, 44312?\nAnswer: 37874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29b5bbb + -6?\nAnswer: 29b5bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2904 and 1544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24649, -24816, -24983?\n\"Answer: -167*v - 24482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31038 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 61780 to the nearest 1000.\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5 - 24*f**4 - 32*f**3 + 24*f**2 + 28*f = 0 for f.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 592 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00221427 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 2:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = 7*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 4*l**2 - 8*l + 11. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470305736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136 a factor of 810959047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-x**4 - 3*x**4 - 2*x**4)*(-2 + 6 - 3).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 751 and 308?\nAnswer: 231308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 722, 15, -46, 2 in ascending order.\nAnswer: -46, 2, 15, 722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 + 0 = 0. Let g = 26 + -26. Suppose g = -o*q - 3*q + 55. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-572)\/726*-22)\/(5\/(45\/12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = t - 41, -46 = -4*c + t - 7. Let l be ((-1 - 0)*4)\/(-1). Suppose l*m = 54 - c. Calculate the lowest common multiple of m and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2 + 1 - 6*m - 5. Let c be d(-3). Suppose 0 = -4*j - 5*l + 172, 3*l - 68 = -j + 8*l. What is the greatest common factor of j and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -0.9. Let o = 1.05 - 0.11. Let a = o - -0.06. Do w and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.19 - -19.59. Let z = -0.3 - -0.2. Which is the closest to -0.1? (a) z (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133 + 579. Suppose 4*u - 20 = 0, -2*h - 3*h = 5*u + 1490. Let p = n + h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(102) + sqrt(102)*-2*5 + sqrt(102) + sqrt(102))\/((sqrt(120)\/sqrt(2))\/sqrt(10)).\nAnswer: -2 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-1)\/(-1)*-7). Let p = 2 - 3. Let k be p\/12*(-18)\/(-12). Which is the nearest to 1? (a) k (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -23 (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1227, 0, -0.38?\nAnswer: -1227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.6408468 years?\nAnswer: 0.06408468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2 + (-75)\/(-6). Calculate the greatest common factor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-2)\/4*2). Let w(v) = -v - v + v + h. Let t(n) = -2*n**2. What is w(t(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 3, g: 1}. Give prob of picking 1 g and 3 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2046012 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 + 14*z**2 + 155*z + 50 = 0. Calculate z.\nAnswer: -5, -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17869 from 154.28414.\nAnswer: -17714.71586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - -19. Let g be 2500\/(15\/l + 13697\/(-31976)). What is g rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(1100) + 1*sqrt(1100) + sqrt(1100) - 5*sqrt(1100)*2).\nAnswer: 12 + 280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + sqrt(891) + sqrt(891))*4.\nAnswer: 9 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/4)\/(-2) + -3. Suppose -3*c + 16 = -n, n - b*c = -9*c + 24. Let d = -0.3 + -2.7. What is the nearest to 1\/4 in n, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2 + 3 - 2*d - 5. Let q(g) = -5*g - 18*g**2 + 5*g + g**2. Determine q(z(o)).\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, and 1 e when three letters picked without replacement from {b: 1, e: 1, f: 1, s: 1, o: 2, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, -1\/31, 5, -2.2, -4 in ascending order.\nAnswer: -4, -2.2, -0.4, -1\/31, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 3*p - 4. Let a be -3 - -1 - 3 - 3. Let u = a + 13. Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134941443 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000511 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -1. Let w(u) = -1553*u**2 + 1. Let z be w(k). Let j = -489 + z. Round j to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 466\/14 - (-2)\/(-7). Let s = 40 - o. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54276670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**2. Let c be (23 - 8)\/30*0\/(-2). Let p(n) be the second derivative of -1\/2*n**3 + 0 + c*n**2 + 17*n. Calculate o(p(x)).\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.167219us in milliseconds?\nAnswer: 0.004167219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 103. Let f be q(14). Let n be 1 + (156 - 1) - 0. Suppose c = -f*c + n. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 2*x**2 - 52*x + 46*x + 35 + 1 to j*x**2 + z + r*x and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5498894 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w**3 - w**3 + 0*w**3)*(1 - 1 - 2*w) + 14*w**4 - 7*w**4 - 4*w**4)*(5*w - 4*w - 2*w).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13, -4 in increasing order.\nAnswer: -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -907044 divided by 6\nAnswer: -151174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57984)\/448)\/151*21\/927.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:14 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -3. Let s(k) = -8*k**3 - 3*k**2 - 2*k + 1. What are the prime factors of s(c)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9*u - 648. Calculate the smallest common multiple of u and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 197904?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-14))\/(1248\/14560)*-24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s - 188. Let x be h(28). What is the tens digit of 6\/x - 42126\/(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 348*q**3 - 10422*q**2 + 18468*q + 29241.\nAnswer: -3*(q - 57)**2*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 240*t - 245. What is g(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c + 2. Let f be v(3). Let q(d) be the second derivative of d**3\/6 - 9*d**2\/2 - d. Let o be q(f). Which is bigger: 2\/11 or o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.45841618 - -208.54157072. Let r = 232 - a. Round r to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -133*y**2 - 77*y + 77. Let d(u) = 7*u**2 + 4*u - 4. Let h(j) = 42*j - 7. Let r be h(2). Give r*d(g) + 4*a(g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-12))\/(12\/5526). Let r = s - 76. Let m = 31 + -26. What is the closest to -0.3 in m, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.1. Let h = -6.3719 - -6.8719. Which is the nearest to -7\/4? (a) 0.3 (b) l (c) h (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -350\/37621?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = -r + 3*q, 3*r = -3*q + 18. Solve -r*o = -o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 + 1 - (-13 + 23))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13909 divided by -11833.\nAnswer: 13909\/11833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1111387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 + 246. Suppose -b - 67 = -d*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, 0.27, 94?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15090644993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 431616603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a - 22. Let g be t(4). Suppose 3*m + 83 - g = 5*k, -2*k + 3*m = -28. What is the remainder when 41 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/162631*((-175)\/(-30) - 7). Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {g: 2, i: 5, b: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v**3 + 3328*v**2 - 42420*v - 22050 = 0. What is v?\nAnswer: -1\/2, 105\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6121 (base 10) to base 5.\nAnswer: -143441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-21*7\/(-245)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 14, 4040 in ascending order.\nAnswer: -7, 14, 4040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32345757 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-4*v**4 + v**4 - 2*v**4) - 2*v**4 - 2 + 2 + (-4*v + 2*v**2 + 4*v)*(-2 + 2 + 2*v**2) to a + p*v**4 + i*v**3 + q*v**2 + h*v and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 10*t + 24. Let m be j(8). Solve -2*r = -m, 0*b + b + 20 = 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at most -1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -77\/15 (c) -0.34 (d) 22 (e) 4 (f) 1 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (2 - 2) - -60. Let s = -28 + b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1395 and 199\/840?\nAnswer: 78120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4882554 millennia in years?\nAnswer: 488.2554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.4, -1\/29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:12 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54.99991723 + -55. What is b rounded to six dps?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240441 (base 6) in base 8?\nAnswer: -50651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 3. Let o be (-4)\/(-6) + (-24)\/(-18). Solve c + k = -o*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 + 22 = -39*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-401811)\/6209 - (-488)\/8.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3829, -1, 2\/5, -4, 0.51?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 1489*u**7\/210 + 243*u**5\/20 - u**4\/12 - u**3\/6 + 2*u**2 - u + 56. Find the third derivative of g(p) wrt p.\nAnswer: 35736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from qpqghg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((3*sqrt(200) + -3)**2 - (2*(-4 + -2 + sqrt(2)))**2)).\nAnswer: -3312 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) 3.89 (c) -0.1 (d) 7 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-441)\/210)*(-1)\/((-1)\/(-3))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 4*y + 1035. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 5*t - 30, 3*l + t - 2385 = -4*t - 2415 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 198464*k - 198468.\nAnswer: 4*(k - 1)*(k + 49617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137 + 10*q**2 + 137 - 4*q**6 wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 862072 and 394.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**2 - 2*v**2 + 13*v - 13 + 5*v**3 - 16*v**3. Let z = -141 + 147. Let a(k) = 5*k**3 + 6*k**2 - 6*k + 6. Determine z*r(o) + 13*a(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/((-1*sqrt(567) - sqrt(567)) + sqrt(567)) - 6*(sqrt(7) + 4 + 1 + sqrt(7)).\nAnswer: -109*sqrt(7)\/9 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 12167358.\nAnswer: -11\/6083679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56194055.488 and 0.5.\nAnswer: -56194054.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26498599707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-72)\/27))\/((-8)\/(-6))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 89.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5\/4 - 7869*s**4\/4 - 63041*s**3\/4 + 196797*s**2\/4 + 252100*s - 283572 = 0. Calculate s.\nAnswer: -9, -4, 1, 4, 7877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3\/7, -0.53, 32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148336322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 29 - (10 + 2 + (4 - 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/132)\/(119\/(-102))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113\/22 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*h**5*w - 2*h**3*w**2 - h**2*w + 258*h*w**2 wrt h.\nAnswer: -8700*h**2*w - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/7 - 96*l**4\/7 - 1432*l**3\/7 - 3680*l**2\/7 - 3468*l\/7 - 160 = 0.\nAnswer: -8, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - m - 8 = 0, -5*h + 3*m = -m - 42. Suppose -h*p = -404 - 696. What are the prime factors of p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:54 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 5*l + l)*(199 + 2*l - 199)*(2 - 1 + 0) + 0 + 2*l**2 + 0.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24317 and -9024.\nAnswer: 219436608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 178*f - 17 + 9 + 8 + 176*f - 353*f. Let y(b) = -16685*b. Let u(q) = 194*q. Let k(w) = 517*u(w) + 6*y(w). Determine k(h(o)).\nAnswer: 188*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + sqrt(78) + (-6*-2*sqrt(78) - sqrt(78)))*5)\/(((sqrt(216)*2 - sqrt(216)) + sqrt(216))*-1).\nAnswer: -35*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17 + 0)\/((-4004)\/(0 - -4)). Let s = 41479\/92092 - z. What is the common denominator of -31\/16 and s?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**5 + 954209*g**4 - g**3 - 568547*g**2 - 3*g.\nAnswer: -180*g**2 + 22901016*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -56.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473637 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m - 83. Calculate d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 457*j\/2.\nAnswer: j*(j - 457)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1064 and 61.\nAnswer: 61.1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbebbjjbbbjjjjj. Give prob of picking 1 b and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/22 and 2\/198*1*12615\/58?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 11*p**4\/8 - p**3\/6 + 4*p**2. Let d be a(1). Suppose u - d = -2. Calculate the highest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134078983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 - 93323868*g + 725778694873452 = 0. Calculate g.\nAnswer: 15553978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3904, -3, 5, -2\/3 in increasing order.\nAnswer: -3, -2\/3, 2.3904, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o - 1. Suppose 0 = 4*s + 18 + 2, 0 = 2*k + 4*s + 22. Let a be g(k). Let l(p) = -p**3 + a - 5*p + 5*p - p**2. Calculate l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 5*r. Let k(m) = m**2 - 2*m - 5. Let g be k(5). Let o = g + -7. Let d = o + 2. What is q(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 64?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 80, 116, 130, 116, 68, -20?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 12*f**3 - 8*f**2.\nAnswer: -4*f**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 34\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 72*n**2 + 131*n + 103. What is the units digit of q(-74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**2 - 2*y - 6. Let s(a) = 9*a**2 - 2*a - 5. Let f(w) = -4*l(w) + 5*s(w). Suppose -25 = 5*g, -3*p - 37 + 29 = g. Calculate f(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.47 (b) -0.03 (c) 0.013 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18099 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-112)\/(-49) - (-6)\/(-21). Suppose 0 = -5*t + 2*n + f*n + 25, 0 = -4*n. Suppose -3*j - t = -62. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(2\/(-5))*212\/(-2438)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29825.5 and -0.5.\nAnswer: -14912.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 3. Let a(v) = -2*v + 13. Let n(u) = -2*u + 12. Let x(b) = -5*a(b) + 6*n(b). Give -5*o(t) - 2*x(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u + 26 - 2*u + 6*u)*(-u**3 + 2*u**4 + u**3 + (1 + 2*u - 1)*(2*u**3 + 3*u**3 - 2*u**3)).\nAnswer: -72*u**5 + 208*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 1711*y**2 + 10293*y - 15453.\nAnswer: -(y - 3)**2*(y + 1717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0685 in 5, -10\/17, 20\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370961232?\nAnswer: 2, 3, 7728359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 232053103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 2473.66\nAnswer: 27210.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11.65, 2320 in decreasing order.\nAnswer: 2320, 11.65, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -77. Let a be ((-2)\/y)\/((-23)\/1196). Suppose -3*u + a = -47. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r\/r**(5\/3))\/r)\/r)\/(r\/(r*r**(-3\/5))))**(-4\/9)*(r*r*r**(-5)*r*r*(r\/(((r\/r**(-6))\/r)\/r))\/r*r)**(2\/5) assuming r is positive.\nAnswer: r**(-194\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 2.7.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uju?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 744*i**2 + 6048*i + 12160.\nAnswer: -2*(i - 380)*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 * 0.03\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7430 or 2473\/6?\nAnswer: 2473\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -2bd?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((2 + 0 - 26) + (369 - 354) - -68)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 3934294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1869)\/1827 + (0 + 2 - 3) + 2. Let c(o) = o**3 - 2*o**2 + o - 2. Let w be c(2). Which is bigger: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**5 - 6*y**4 + 30549*y**3 - 141528888*y wrt y?\nAnswer: -20*y**3 - 72*y**2 + 183294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/4 - 43*x**3\/4 - 187*x**2\/2 + 232*x.\nAnswer: -x*(x - 2)*(x + 16)*(x + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000962309 to five dps.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88433.\nAnswer: 191, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/41, -1169, -86?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 235738548 divided by -12884\nAnswer: -18297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24321.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 19065*a - 649366 = 0 for a.\nAnswer: -19099, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddnddddddddhddddd. What is prob of picking 2 d?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = x - 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1348440\nAnswer: 1348440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**1))**47)**(-32\/5)\/(q**2\/(q\/(q\/q**2*q))*(q**4*q*q)\/(q*q**(-6)\/q*q)) assuming q is positive.\nAnswer: q**(-1564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 112*v + 110*v + 2094, -3*f - 6309 = 3*v. Is f >= -2104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28876693 by -1698629.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15609 - -15612. Is u less than or equal to 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8964.845 decades in centuries?\nAnswer: 896.4845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m - 2. Let g(c) = 21*c + 10. Let w = 3 + -1. Determine w*g(t) + 11*i(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 46*l + 400. Let m be g(-8). Calculate the highest common factor of m and 5128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1768)\/3978 + (-172)\/18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.87153 millilitres in litres?\nAnswer: 0.04087153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (5 - (2 - -3)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3412926 to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -1. Let l = 5 + -5.3. What is the nearest to -1 in l, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -15, -44, -87, -144, -215?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*u + 834244 - 834244.\nAnswer: 73*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1596615 - -1600801.294. Let d = -4485.3147 + b. Let u = -299 - d. Round u to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 574, 859, 1144, 1429, 1714?\nAnswer: 1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, -11, -1, -4, 3, 5 in descending order.\nAnswer: 5, 3, -1, -4, -11, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663 is divided by 1822.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:30 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, -112, 3.\nAnswer: -112, -5, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepa. What is prob of sequence ape?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 0.32, 79\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. What are the prime factors of 0 - (-18 + y + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*r - 157*b**2 - b*r + 1422*b - 3116*r - 5593 wrt b.\nAnswer: -2*b*r - 314*b - r + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16932 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine fifths of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2572.64 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 220 = -4*r - 2*u, -3*r + 4*u + 170 = 0. Suppose 3*t - r = 90. What is the greatest common factor of t and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -13*j - 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2446 (b) -13 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-1150)\/84)\/(-23))\/(-13 + (-909)\/(-63))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -81.18 and -57410.\nAnswer: 4660543.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3074\/1209 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6389*j**5 - 37*j**3 - 562390*j**2 wrt j.\nAnswer: -383340*j**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-21)\/45 + 3\/(-9). Which is the closest to 0? (a) n (b) 0 (c) -0.045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 + 5 = 0. Suppose 6*b - 16 = t*b. Let v be 40\/(-12)*(-6)\/b. Solve -v*q = -2*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 703459, 703458, 703457, 703456?\n\"Answer: -u + 703460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 3*v**2 + v + 3. Suppose 2*l + 3 - 5 = 0. Let t(s) = s**3 - s**2 - 1. Calculate l*p(u) + 3*t(u).\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + d + 3, -84*m + 4 + 0 = -81*m + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 632*514\nAnswer: 324848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 405345 - -13?\nAnswer: 405361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 14*k = -50. Let z be 12\/(-90) + (-2)\/(-15). Solve z = -7*s + k*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*f + 66*f + 270 = 0. Let j be 2\/(-6) + (-160)\/f. Solve -5*r + j*w - 45 = 0, 2*w = 7*w - 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y + 33*y - 4461 - 53*y.\nAnswer: y - 4461","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49759 divided by -111\nAnswer: -49759\/111","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 3, -0.3, 45\/4, 4, -2209?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -3*o**6\/50 + 57*o**5\/20 - 451*o**4\/10 + 1162*o**3\/5 - 1764*o**2\/5 + 36*o. Suppose p(t) = 0. Calculate t.\nAnswer: 2\/3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.07, 0.02, 16916 in descending order.\nAnswer: 16916, 0.07, 0.02, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 - 8*n**2 - 8*n - 5. Let l(b) = -2*b**3 - 4*b**2 - 4*b - 2. Let o(c) = 7*l(c) - 3*y(c). What is o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.99 + -6.29. Let f = -0.025 - 5.075. Let u = f + 1.1. Sort -5, u, t in descending order.\nAnswer: t, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1. Suppose u = 5*s - 78, 42 = -s + 4*s + u. Suppose s = -2*h + 7*h. What is the third biggest value in h, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l - 3*g, -3*g + 2 + 2 = 5*l. Suppose l*c - 3*c = 2. Is 25 a factor of (-15)\/(((-6)\/(-9))\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94918*j**2 + 95872?\nAnswer: -189836*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 528, 226, -80, -390?\n\"Answer: -2*u**2 - 296*u + 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.36395, -5\/6, -0.1, 0, -0.06, -27\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (158 - 52) - (-1 + 2 + (-8 - -8))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by 43564\nAnswer: -111\/43564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-6 - -5) + 9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074427?\nAnswer: 31, 61, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 87 = 37. Let o(v) = -6*v**2 - 25*v - 3. Let y be o(-4). Suppose z = -y, -z + 423 - f = 5*p. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12888, -25763, -38638, -51513, -64388, -77263?\nAnswer: -90138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*b + 3, v = -66*b + 63*b - 1. Solve b = 27*k - 0*k - 81 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 - -45*(-1)\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4261 = -4615*p + 98809 + 173830 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgzgttgzztttg. Give prob of sequence gg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 2*i**2 - 2*i)*(-4*i - i - 4*i) as m + v*i + u*i**3 + x*i**2 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f**1)\/((f\/(f**3*f*f))\/f*f*f\/(f**(-4\/11)*f)))**(-28) assuming f is positive.\nAnswer: f**(-1516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let g be -9*r + (-8)\/12*-3. Which is smaller: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erre when four letters picked without replacement from {r: 14, e: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9576785 divided by -21815\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*(5 - 3 - -4). Suppose -3*p + 3765 = l*p. Is (-6 - (-19)\/3)\/(1\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16413\/(-5328) - -3)\/(165\/30 - 5) and 49\/111.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -192 (b) 20 (c) 1 (d) -1 (e) 147\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/1680*5)\/((-2)\/12*(-81)\/12)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 + b - 3. Let p be 1 - (2 - 0\/4). Let i = -4 - p. Let r be y(i). Solve -5*n - 4*j + 26 = 0, -r*n = -5*j + 14 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -3*m. Let b(g) = g**2 - 5*g + 4. Give b(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1118 and 93\/344?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 20000012021?\nAnswer: 20000012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 126325829.\nAnswer: -126325795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/781 and -179\/471156?\nAnswer: 5182716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 15. Let l be 57\/11 - (-32)\/(-176). Suppose l*f = -w*d + 127 + 33, 3*f + 5*d = 96. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1412018.999997 - 1412020. Let y = 14 + -13. Let i = y + d. Round i to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 1\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3833*v = -312*v + 3594 + 8841 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2623307008 and 1792.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 183*b + 6)*(-3*b - 3*b + 3*b)*(-2 + 0 + 4) to the form z*b**2 + q + v*b and give z.\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 4*p**2 - 225*p + 222*p + 0*p**2 + p**3 = 0. Calculate p.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1114*o**3*s**2 - 316*o**3*s + 2*o**2*s**2 - 141*o**2*s + 2*o**2 + 47*s**2 wrt s?\nAnswer: -2228*o**3 + 4*o**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 36*j**2 + 2606*j. Let k(t) = -2*t. Calculate y(k(p)).\nAnswer: 144*p**2 - 5212*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**2 - 8 + 3*l**2 + 79447*l**5 - 80404*l**5 wrt l.\nAnswer: -57420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (973\/3892)\/(10\/64)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (6 + -14) - -1 - (0 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2400 = 4*t. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -185957257, -185957256, -185957255, -185957254, -185957253?\n\"Answer: q - 185957258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2088 and 18.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339053643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -448*a*r**2*u + 7093*a*r*u - 560*a + r*u - 2*r + 16822*u with respect to r.\nAnswer: -896*a*r*u + 7093*a*u + u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 264*u - 6. What are the prime factors of i(2)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2872*b + 2877*b - 40 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = n - r + 10, 588 = 5*n + 4*r. Let l(c) = 30 + c**2 + n + 2*c**2 - c**2. Does 24 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 1. Which is smaller: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31450 - 31446. Let i(l) = l**2 + 4*l + 4. Let s be i(-4). Solve -2*c = t - v, t + s*c = c + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 125 = -129. Let p be 252\/72 - h\/2. Solve p*f - 5*b + 26 = -15, 2*f + 33 = 5*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 29\/3 + (-2 - 21\/(-9)). Suppose -8 - a = -6*o. Suppose 3*d + 2*d + 3*s - 889 = 0, -545 = -o*d + 4*s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998935 is divided by 228?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 - 3041195681 + 3041195681.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392672561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {j: 2, g: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 - 3*s**2 + 22*s + 24. Let v be r(-1). Let g(o) be the second derivative of -2*o + 0 - 1\/2*o**v + 2\/3*o**3. What is g(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1136673 divided by -378891.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:40 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*r - 182 = 305*r. Do 109\/9 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let u(i) = 2 + z + 2*i + i**2 + 0. List the prime factors of u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2*m**3\/3 - 1. Let k(j) be the third derivative of j**5\/15 + 15*j**2. Give p(k(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252415 (base 6) in base 11?\nAnswer: 15aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1303 (base 4) to base 3\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -35 - (-4 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 i when three letters picked without replacement from {b: 1, i: 4, x: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + 2*t**5 + 4*t - 4*t - 2*t**5 + (0 - t**2 + 0)*(-3*t**3 + 5*t**3 - t**3) + (t - 26*t - 18*t)*(2*t**4 - 4*t**4 + t**4).\nAnswer: 39*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f + 216. Let g be l(-27). Suppose t = -4*i + 235, g*i - 55 = -i - t. Calculate the least common multiple of 36 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13885 + -41630\/3. Let c(u) be the first derivative of 10*u**2 + z*u**3 + 22 + 0*u. Find the second derivative of c(g) wrt g.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 27434 - 32632 - 3785.\nAnswer: y - 63851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1991*d**2 + 12*d - 4. Let p be u(-6). Suppose -p = -14*a - 11106. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*21)\/((-17)\/272).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) 1.25 (c) -421\/5 (d) -1\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 0 + 6*i**2 - 5\/3*i**3 - 6481\/6*i**4 - 2*i. Let u be x(9). What is u rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3 + 2)*35\/(-10). Let t be (-3)\/x*(-7)\/(-21). Which is the third smallest value? (a) t (b) 1 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 155782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j)*(0 + 1 + 1) - 2*j - j + 4*j + (1 + j - 1)*(-1 - 2 + 5) - 10*j - 14 + 14.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -4 - 1)*2. Let y(q) = q + 15. Let p be y(d). Let j(i) = -2*i + p + 12*i - 9*i. Give j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 45 = 5*s, -2*s + 4*s + 2*q - 34 = 0. Suppose 3*m = -v + s, 0 = 3*v - 7*v + 3*m - 12. Let b(o) = -o - 3. Give b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19448)\/(-429)*(-6)\/4*-1. Let u = z - 63. Solve u*c + 24 = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38248, 85088, 131928, 178768, 225608?\n\"Answer: 46840*b - 8592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008677791 to 7 dps.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - z**3 + 2*z**3 + 1334*z - 1334*z + 54*z**3 + (3*z - 2*z + z)*(1 + 0*z**2 + z**2 + z**2).\nAnswer: 57*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95145515251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/(-8)*12\/(-10). What is the units digit of 8\/(-12) + 3385\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 10) in base 14?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1396, 5521, 12396, 22021, 34396?\nAnswer: 49521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -0.067.\nAnswer: -26.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*t - 180683, -5*t = 33 - 13. Is k\/(-35) + (-6)\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/32*-8*-1. What is the nearest to 1 in m, 2\/3, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17*(-16)\/68*-1. Solve 236 = -k*a + 252 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*q + 490, 78 = -6*q + 7*q + 3*v. What is the highest common factor of 62 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.012 + 0.998. Let b = m + -0.01. Let c = b - -3. What is the biggest value in 4\/9, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246034 is divided by 6853?\nAnswer: 6179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -3. Let j(x) = x**2 + 10*x + 4. Let y be j(-10). Suppose 2 + y = 3*o. Solve -o = -n - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + 39\/9. Suppose r - 2*o - o - 8 = 0, m*r + 3*o - 22 = 0. Sort r, -8, -1 in decreasing order.\nAnswer: r, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 12166.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9767\/5 bigger than -1954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {j: 12, s: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(209) + (sqrt(209) - -4*-1*sqrt(209)))\/(((sqrt(275) - (sqrt(275) + sqrt(275)*-1)) + sqrt(275) - sqrt(275)) + sqrt(275)))**2 + 1)*-6.\nAnswer: -144\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let s be 54\/(-9) + 1 + -1. Let m(c) = c**2 + 7*c - 1. Let l = 1 + 1. Let r be (-1)\/(0 + -1 + l). Determine r*m(d) + s*a(d).\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4 - (12 + (-95)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -46, 27695 in decreasing order.\nAnswer: 27695, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 21*s - 128 = 0. Let u(g) = 6*g - 8. Let t be u(2). Suppose -5*y + 3*q = -s*y + 31806, 2*q - t = 0. Round y to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -46, 0 in increasing order.\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 410275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 333823599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397*s**2 - 73*s - 3 wrt s.\nAnswer: -794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -118790 (base 10) in base 2?\nAnswer: -11101000000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/8 - ((-2)\/(-16))\/((-194)\/48694)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2113, -14.\nAnswer: -2113, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 685 + 5?\nAnswer: 68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 15*u**2 - 34*u + 2. Let h be j(17). Find the second derivative of -138*x**h - 34*x - 28*x + 7*x + 26*x**2 wrt x.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (249\/83)\/((-15)\/(-80))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**7\/504 - x**5\/6 - 7*x**4\/12 + 3*x. Let w(u) be the third derivative of b(u). Let w(k) = 0. Calculate k.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2921 - 1906. Let f = w - -3129. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m. Let f be 1\/(m - (-15)\/(-5)). What is the closest to 2\/5 in f, -0.2, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 4*g - 5. Determine r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18699.4126 rounded to the nearest 100?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 27. Suppose 2*g + 4*c = s + 39, -22 = -3*g + 4*c. Let b = -15 + 27. What is the smallest common multiple of g and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194561.7 and -0.29?\nAnswer: -56422.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2268586 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 844 (base 12) to base 8\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbzpcqzbf. Give prob of picking 1 c, 1 f, and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35103352 divided by 8775838.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 3, w: 6, z: 3, e: 5}. Give prob of picking 1 z, 1 o, 1 k, and 1 e.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.821 and 7.19.\nAnswer: 41.85299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1) + (-56 - -61)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10806597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9801, 9804, 9809, 9816, 9825, 9836, 9849?\n\"Answer: d**2 + 9800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -864500 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:50 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l + 0*l**2 + 113 - 2*l**2 + 8*l**2 - 26*l wrt l.\nAnswer: 12*l - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/360 - y**5\/60 + y**3\/6 + 4*y**2. Let x(w) be the first derivative of k(w). Determine f, given that x(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -135\/8*t**2 - 65\/8*t**4 - 19\/4*t - 3\/8*t**5 - 159\/8*t**3 + 0 = 0.\nAnswer: -19, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/5, -2\/249, 7, -2\/5, -20.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -394 + 401. Solve 5*a - 10 = q*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3, 6, 2\/11, 9, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001001111 (base 2) in base 10?\nAnswer: 5199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 15. Let d be 12\/(-2)*6\/(-9). Let a(t) = t + 0 - d*t - 1 + 5*t. Give a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4 - 5\/(-10). Let q be j\/4 - (-7)\/2. Suppose 2*r + q*r - 20 = 0. Solve -6*s + 2*s = -r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*((-1989)\/(-17))\/13?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -25. Let h = 21 - w. Find the second derivative of 123 - 123 - 2*j + 4*j**h + 3*j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*m - 140081 + 25713 = -106*m. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 476 = -278 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.705126 - 32.7051247. Let v = 5 + j. What is v rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -23*o**6\/60 - o**5\/60 - 7*o**4\/6 - 47*o**2. What is the second derivative of c(m) wrt m?\nAnswer: -276*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 618\/159139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**31)**(-1\/54)*(p**(-1\/6)*p)**(-36))**(2\/31) assuming p is positive.\nAnswer: p**(-1651\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(20*s - 643*s**2 + 1048*s**2 - 525*s**2)*(-3*s - 3*s + 2*s) to the form g*s**2 + n + m*s**3 + z*s and give m.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 91 + 28 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23885231 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247 (base 8) in base 6?\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 34*a + 36*a + 37*a + 4*a**3 - 104*a + 1559*a**2.\nAnswer: 4*a**3 + 1559*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - ((-1 - -4) + 2)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10212 or 10202?\nAnswer: 10202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -876270 (base 13) to base 14\nAnswer: -5cc442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/15 - 232828*k**2\/15 - 21899086*k\/15 - 171577448\/5.\nAnswer: 2*(k - 116508)*(k + 47)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1033, -4145, -9331, -16591, -25925, -37333?\nAnswer: -50815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7494 is divided by 1001?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*w + 3, -3*w - 2*w + 15 = 5*s. What is the hundreds digit of s\/((-9)\/(7065\/(-10)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1377))*3 - (1 + sqrt(1377))*-6 - (1*1*sqrt(1377) + sqrt(1377) + 4 + (sqrt(1377)*-1)**2 + sqrt(1377)))*-4.\nAnswer: -216*sqrt(17) + 5464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1710.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1983*a + 6502. Does 238 divide w(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268716 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220746402 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4968431228 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059059.\nAnswer: 1059059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 711641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-316)\/5451*(-21)\/6*(-9)\/(-42)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let m(t) = -4*t + 69. Suppose 4*f + 0*f + 4*h = 4, -5*h = -5*f + 25. Let q(y) = 3*y - 71. Let b(i) = f*q(i) + 2*m(i). Give b(u(a)).\nAnswer: a - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 9 = 0, -4*s + 7*s = 6*t - 3*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 9 + 25 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1675083 or 1675151?\nAnswer: 1675083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6301 or 6302?\nAnswer: 6302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -3, 0.4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -484, 0.3, 0.2, 21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*y + y**3 - 30*y**2 + 110*y - 57*y in the form x*y**3 + q + w*y**2 + m*y and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -64*b**2 - 198*b**2 + 114*b**2. Let q(j) = 2*j. What is q(t(n))?\nAnswer: -296*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 148. 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: Suppose 10 = 5*s - 5*r, -3*r = 3*s - 4*r - 6. Let j = 203 - 199. Suppose -j*f = -23*f + 247. Solve 0 = 3*g + 5*d - f, -d + s + 7 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -2 + -2 + -1. Suppose 5*v - 9 = -l, l - 5*l = 5*v - 51. Let d be s\/7 - (-52)\/l. Which is the closest to -8? (a) -4 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:22 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5357*n**3 + 2 - n - 1354*n**3 + 32323*n**3.\nAnswer: 25612*n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -5, 1 in descending order.\nAnswer: 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 m, and 1 h when four letters picked without replacement from mrffhhfhff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210 - -212. Solve -y = p*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*y + 100, -y = 4*x - 0*y - 142. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -180951, -361930, -542935, -723966, -905023, -1086106, -1267215?\n\"Answer: -13*s**2 - 180940*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*a - 165*a + 18 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2511 + -2288. Which is the closest to v? (a) 3\/8 (b) -4\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -21.\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*l + 3 + 42*l + 193*l - 15*l**2 as q + i*l**2 + b*l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-14))\/(18\/(-21)). Suppose -7*n = -6*n + 6. Let a(y) = y**3 + 6*y**2 + y + 7. Let j be a(n). Are j and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r + 9*r**2 - 24*r)*(-r + 0*r + 3*r) - r**3 - 63*r**3 + 238*r**3 + 172*r**3.\nAnswer: 364*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580 and 725.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061083 to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:18 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(68)\/sqrt(4) + sqrt(17)) + (sqrt(833) - ((sqrt(833) + -2*sqrt(833))*6 + sqrt(833)) - sqrt(833)))**2.\nAnswer: 95625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685937 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 1. Suppose 0 = -w - 3, 2*l - w = 3 + 4. Suppose 10 = x - l*x + 2*s, -20 = 5*x - 4*s. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/36570 and 43\/4175075.\nAnswer: 25050450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 17. Calculate the lowest common multiple of 2*((-62)\/(-5) + g\/(-5)) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14465570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 + 1. Let c be 2\/8 - 4\/16. Suppose 4*i + 2*u = -u - 11, c = -2*i + 4*u. Let q(n) = n**3. Let x(p) = i*t(p) + 9*q(p). Differentiate x(d) wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = -406 - 14 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 955208536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:35 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.11 rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 3)*(-2)\/2. Let x be 11*(0 + (n - -8)). Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 1583 + 0*r - 1257 - 2*r.\nAnswer: -r - 2840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226\/45 - (-16)\/(-72) - 6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612.017 decades in millennia?\nAnswer: 16.12017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let d be y*(66\/(-3) - -1). Let t be ((-2)\/d)\/(9\/(-21)). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*i + 6 - 41, -3*a = 2*i - 31. Suppose -4*t - 14 = -2*d, 16*t = i*t - 15. Which is smaller: 2\/99 or d?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 3.05. Let b = -64 + 61.1. Let o = b - f. Which is greater: 1\/4 or o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28813, 28814, 28815, 28816, 28817?\n\"Answer: t + 28812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 4 - (10 - (-14 + 14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**5 + 4*m**4 + 869*m**3 + m**2 + 421*m + 3 wrt m.\nAnswer: 180*m**2 + 96*m + 5214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3\/2*u**3 + 3*u + 0 - 3\/2*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 402 = 3*n, 92 = x - 5*n. What is the remainder when x is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 o, and 1 l when four letters picked without replacement from eldefhod?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3080145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 382*(-2)\/8*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 104. Factor 38*q - 42 - 3*q**2 - 2*q - t*q.\nAnswer: -3*(q - 7)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**26\/m))\/m*m*m*m\/m**10*m)\/((m\/m**18)\/(m**(3\/8)\/m)) assuming m is positive.\nAnswer: m**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/46056 and 113\/557116.\nAnswer: 63511224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and 59\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 11*d**2 + 9*d - 6. Let c be n(-10). Differentiate c*l + 53 - 28 + 13*l**2 - 4*l with respect to l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(35\/2))**(1\/10) assuming i is positive.\nAnswer: i**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2\/2 - x + 4. Let z be h(3). Differentiate 0*w + 4*w - 2*w + z wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(2\/3)*c)**39)**(-50))**(24\/11) assuming c is positive.\nAnswer: c**(-109200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -473*h*y**3 + 13*h*y**2 - h*y + 6*h - 1680418*y**3 wrt h?\nAnswer: -473*y**3 + 13*y**2 - y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 2, -28\/23, -5, 3?\nAnswer: -28\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, -4, 5, -2 in descending order.\nAnswer: 22, 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-13)\/w)\/((w\/(w**(-15\/4)*w))\/w))**(-20\/9) assuming w is positive.\nAnswer: w**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1 = -10*t + 7*t, -3*i - t + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1211002 (base 3) to base 6\nAnswer: -10045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 + 385 = -7*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 4*x**2 + 6*x + x - 4*x**2 - 2*x**2 to n*x + f + b*x**2 + z*x**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2673 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 470469 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320391 + -41391. Round y to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -0.06, 5.7, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11 = 8. Let s be h\/(10\/(-6) - -2). Suppose -2*u + 195 = s*u. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/22 and 71\/33106.\nAnswer: 364166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 27. Find the common denominator of 4 + (-127)\/p*2 and -69\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314 + 498. Let i be 263 - (2 + 3 + -6). Let r = i - g. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooamrgtratg. What is prob of sequence gtm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 63. Sort h, -1, 4, -2\/9.\nAnswer: h, -1, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = 2*s. Calculate the smallest common multiple of (-5)\/3*(34 + -37) and 20\/s*36\/(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(432) + sqrt(432))*-5)**2 + 5 + 5.\nAnswer: 1080010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315 - -217. Let p be (-164)\/(-3) + 8\/(-12). Let j be p\/7 - 28\/t. What is the greatest common divisor of 20 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-19)\/g))\/g*g**(-15))\/(g**(1\/6)\/(g**(1\/4)*g)))**5 assuming g is positive.\nAnswer: g**(365\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/22 - (-506)\/121. Solve 4 = -q*x + 4*v, -4*v + 2*v = -x + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12200 and 1032?\nAnswer: 1573800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -14. Let o(x) = -x**3 - 9*x**2 - 2*x - 7. What are the prime factors of o(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15479 equal to 15480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r - 196 = 404 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 3 + (-128)\/(-224))*21. What is the highest common divisor of 918 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + t**3 - 4*t**2 + 7*t + 3*t as a*t**2 + o*t + s + r*t**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 - 2210*m + 96587. What is p(161)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {x: 5, i: 1, p: 4, j: 1, z: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**4\/4 + y**3\/2 + 2*y**2. What is the units digit of d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 + 15*m - 9. What is r(3)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1108, 139, -832, -1805, -2780, -3757?\n\"Answer: -q**2 - 966*q + 2075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 = 0, -4*h = 3*w - 2 + 18. Let u(q) = q + 10. Calculate the remainder when 4 is divided by u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x. Let a = 152 - 151. Let z be 5\/(49\/14 - (a + 0)). Solve x*f = -5*f + z*u + 30, 2*u = 4*f - 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 15. Let h = 1892 - 1891. What is the remainder when q is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11275821467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 6}. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 479318970 take away 0.173?\nAnswer: 479318969.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71882940?\nAnswer: 2, 3, 5, 1198049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 597876 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -37 + 33\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u**2 + 6*u - 4. Let y be w(4). Suppose b = -p + y, 5*b - 16 - 5 = -4*p. Find the second derivative of 9 - b*r**3 - r - 9 wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:22 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2614 - 2611)*((-13)\/7 + 2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308530 is divided by 161?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.2 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.9 from -0.071.\nAnswer: -2.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -41343296 divided by 64\nAnswer: -645989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2. Let i(r) = 9*r**2 - 20*r**2 - 8*r**2. What is i(f(d))?\nAnswer: -76*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 2418118?\nAnswer: -2418121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0 + 0)*(-5*a**2 + 3*a**2 + 3*a**2) + (4 - 1 - 1)*(0 - 2*a**4 + a**4 + 2).\nAnswer: -4*a**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*k = -13, 0 = -k - 3 - 0. Suppose 2*m = 5*l - 167 - 738, 3*m = x*l - 373. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1050 (base 8) to base 14\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*y = -103*y - 51. Suppose -y*c + 21*c = 0. Which is smaller: 7\/52 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -518 by -471.\nAnswer: 518\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*v + 89, -3*p + 4*p = v + 17. Does 8 divide v\/4*(-24)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/(((-54)\/(-16))\/3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.778 - 0.022. Let l = -5 - k. Let n = 6 + -2. What is the nearest to 1 in 0, n, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, 0.1, 9924.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/9)\/((-1)\/18). Suppose 3*d = u - 26, -2*u = -u - 4*d - a. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*g + 4*g. Solve -3*m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from wwdre?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -214.9551 + -0.0449. Let n = 216 + j. Which is the second biggest value? (a) n (b) 1\/2 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - (-2)\/4. Let c = -1 + p. Let q = c - -19. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 7710?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-4 + 4 - 2*c)*(-1087 + 627 + 540 + (-3 - 2 + 6)*(-1 + 0 + 0)).\nAnswer: 316*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-2)\/24). Let h be (8\/(-6))\/(o\/(-9)). Solve 2*i + 16 = -h*f, 2*f = i + 2*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200)*2 - sqrt(200))\/sqrt(160))\/(-6*(sqrt(432)*5)\/sqrt(3)).\nAnswer: sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 4*w - 6 = -2*y, w = -y - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 687.88638 and -7.\nAnswer: -4815.20466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374 is divided by 1023.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**4 - 230*t**3 + 209*t**2 - 9*t wrt t?\nAnswer: -96*t - 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000102193 to seven decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -105 in -1, 263, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 3, r: 5, q: 1}. What is prob of sequence qx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let x(i) be the first derivative of -3*i**2\/2 - 3. Determine x(n(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 - 1276?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 3*r - 4. Let d be c(-2). Suppose 40 = v - d. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 0. Let i = 9 - z. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10001001000100001011?\nAnswer: 10001001000100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 936\/884*(-85)\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -71430800 to the nearest one hundred thousand.\nAnswer: -71400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 - 646*q.\nAnswer: -646*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f - 58. Let l be 68\/(-8) + (-35)\/(-14) + -2. What is u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -527, -869, -1243, -1661, -2135, -2677?\nAnswer: -3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-4 + -8 - -21 - -2 - 15).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 509690 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*c = -712*c - 132. Let r(u) = -5*u**2 + 19*u - 5. Calculate r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438600904?\nAnswer: 2, 7, 7832159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 777 - -6?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 138800 divided by -6940\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831905582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 + 2*n**2 - 3*n + 2. Let t = 21 + -20. Let p be k(t). Suppose 3*s + 2*f - 8 = 0, p*f + 9 = 5*s + 4*f. Solve s*a - 8 = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*3 + sqrt(66))*2 + sqrt(66) + sqrt(66))\/(sqrt(36)\/sqrt(6)*-2) + (sqrt(1584) - -3*sqrt(1584) - (-1*sqrt(110))\/sqrt(10))**2 + 5.\nAnswer: -5*sqrt(11) + 26416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 160?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 250*n + 2516. Calculate j(10).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 1. Let m be (0 - -1)*(-9 - 1)*5. Let l(r) = 110*r**2 + 50. Let v(f) = m*w(f) - l(f). Let z(u) = u**2. What is z(v(y))?\nAnswer: 100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/((-4)\/6 + 6357\/(-117)) and (-33)\/(-440)*122\/(-3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 + f - 1534 + 1534)*(5*f + 2 - 2).\nAnswer: 25*f**5 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71065, -142149, -213233, -284317, -355401, -426485?\n\"Answer: -71084*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000021343 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyyyyydddydiyyid. What is prob of sequence yd?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3896353 months to centuries.\nAnswer: 0.00199136275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*y + 14, 17 = -4*y - 4*v + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7159*f**3 - 2*f**2 + 809*f + 4?\nAnswer: -42954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(14\/5))**(-19) assuming u is positive.\nAnswer: u**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-8) - (-1)\/(-4). Suppose 0 = 3*d + 6. Let w = 1 - d. Put w, z, -2 in descending order.\nAnswer: w, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19885*p - 148605 - 1106765 - 680138 = -185628 for p.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-4)\/24) + 41. Suppose -7*x - 14 = -r. Solve -3*k + x*p = 2*k - 6, -k + 3*p = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -472 != -474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)**(-1\/85))**(-40)*(f**(-2)*f**0)**(-2\/23) assuming f is positive.\nAnswer: f**(-162\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/130 and 6\/325?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = 3. Suppose s*l + 0 = 6. Let v(o) = o**2 - 3*o + 1. Calculate v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 + -10011110101?\nAnswer: -10100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -670, -3, 1 in descending order.\nAnswer: 1, -3, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/72, 5, -3.\nAnswer: -3, 11\/72, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3504*a + 14319 = 3547*a. Calculate the remainder when a is divided by 160.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 13. Let i(d) = 4*d - 25. Let o(n) = 2*i(n) + 5*w(n). Let a be o(5). Solve 2*l + a*j + 5 - 36 = 0, -35 = -5*l - 4*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*(293408\/530)\/173.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 89721239, 89721240, 89721251, 89721278, 89721327, 89721404?\n\"Answer: p**3 - p**2 - 3*p + 89721242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0541104 rounded to four decimal places?\nAnswer: -0.0541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65478 + 114971. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12990.1 rounded to the nearest 100?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13724297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-8 + -2 + 4). Suppose b - 32 = -s*b. Let w(j) = -12*j + 0*j + 5*j + b*j. Let o(t) = -68*t. Give w(o(g)).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 + 17*f - 8. Let r be s(5). Let x(g) = -2*g**2 + 3*g - 1. Give x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-14)*(-7833)\/(-12682)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4483.08588 rounded to one dp?\nAnswer: -4483.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 1.5. Suppose -9 = -5*q + 2*n, 0*q + 4*n - 9 = q. Let d be q\/44 - 14\/(-77). Which is the closest to 1? (a) d (b) u (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1.414755?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3773*y - 51760 = -470563 for y.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - -432501524?\nAnswer: 432501554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10072977263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2200786, 2200793, 2200800, 2200807, 2200814?\nAnswer: 2200821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1086 - 501 + 2649 - 523)*(2 - 2 + 2*b).\nAnswer: 5422*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -1, -0.4, 3\/2 in increasing order.\nAnswer: -63, -1, -0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeepppeeeeepeeppee. Give prob of picking 1 e and 2 p.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 6682, -5, 0, -4 in increasing order.\nAnswer: -6, -5, -4, -2, 0, 6682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 201*q - 713. What is the nearest to 0 in q, 2\/15, -11, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 4*r**2 - 10*r**3 + 11*r**3 + 2*r to y*r**2 + g + j*r + w*r**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 2*u**2 + 2*u**2 + 6*u**2 + 0 + 0 + (9*u + 9*u - 15*u)*(-u + 2*u + u) + 0*u**2 + 3*u**2 - u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.78 rounded to one decimal place?\nAnswer: -108.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10834 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (7 - ((4 - 5) + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170445 + -170464.9938. Let b = -20 - c. What is b rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 479, 4, -0.5?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 63?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27865*a**3*k - 3*k - 16869 wrt a.\nAnswer: 83595*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299287, 299285, 299283?\nAnswer: 299281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433249*q = -431986*q - 116196 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 17 = -5*k - 0*v, -11 = -5*k - 2*v. Let s(x) = 5*x - k*x + 0*x. Let t(h) = 3*h + 9. Let d(b) = -b - 2. Let m(w) = -9*d(w) - 2*t(w). Give s(m(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*g**5*z + 30*g**3*z**2 - g**2*z**2 - 4*g**2*z + 283*z**2 - 2*z wrt g.\nAnswer: 5820*g**2*z + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4221936 and 12665808?\nAnswer: 12665808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 1 + j - 2 + j + 2*j - 5*j + (-2 + 0 + 4)*(2*j - 2 + 2) + 3*j + 2*j - 3*j + 80*j + 57*j - 50*j to v + y*j and give y.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3269, -11, -4, 2 in decreasing order.\nAnswer: 3269, 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 + 6 + 1 + 3*q - q. Let n be l(4). Suppose n*s - 88 = 11*s. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 32*v - 32. Suppose 3*d + 30 = -3*b, 4*b - 5*d + 2 = 7. Let x(r) = 33*r - 33. Let j(i) = b*y(i) + 4*x(i). Find the first derivative of j(f) wrt f.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = -4*f. Suppose 10*y = -6*y - 848. Let t = y - -56. Which is the second biggest value? (a) t (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661*g + 671*g - 400 = 0. Solve -9*i = i - g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 2*x + 1. Suppose -12 = -4*d - 2*d. Suppose -2*i = 8, 3*j - d*i = -4*i + 1. Determine g(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Let v(t) = -t + 3. Let c(r) = 5*r - 11. Let w be 21\/3*132\/42. Let n(l) = w*v(l) + 6*c(l). Give n(a(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15344 + 15468.78. Let z = n + -1.78. Let d = z - 122.43. Round d to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-21)\/(-112))\/(45\/4)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 11*y**2 + 17*y - 29. What is c(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2286)\/450 + 36\/450.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3710242.\nAnswer: 2, 113, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 15. Let l(w) = w**2. Calculate l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) - (-81)\/63.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 25683084?\nAnswer: 25683086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-98)*(-1)\/(2\/7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d + 12. Let l(s) = 2*s + 11. Let r be l(d). Let f(g) be the third derivative of -g**5\/60 + g**4\/4 - 7*g**3\/6 + 2*g**2. Calculate f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m**3. Let c(k) = -13*k**3. Let y = -41 + 44. Determine y*c(o) - 4*a(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, 52, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 768\/(-4864) - (-548)\/2508?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (0 + 1 - 50 - -2 - (1264 - 1249))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115608577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**5\/240 - 689*g**4\/48 + 474721*g**3\/24 - 699*g**2. Suppose w(k) = 0. Calculate k.\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37906936\/598879995 + 3\/335507. Calculate the common denominator of b and 1\/45.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 12*i**2 - 2*i - 5. Let q = -19 - -7. What is the units digit of f(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96.604 - -4741.6595\nAnswer: 4645.0555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10037 = 43*y - 19762. What is the remainder when 715 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(22)*-1)\/sqrt(2).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 85659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1432 and 74285?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*h = -62*h + 1062800. What is h rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 64, 115, 200, 331, 520, 779, 1120?\n\"Answer: 2*k**3 - k**2 + 18*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 4 + -9 + 7 + 2 + -8. Solve 4*g - 7 + 11 = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 72*d**2 + 79*d**2 - d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 565*m - 2055. Does 37 divide f(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 1, j: 1, o: 1, b: 1, e: 1}. Give prob of sequence jk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 16. Calculate s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15604956 - -4.69294?\nAnswer: 15604960.69294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 20*y + 2 - 2 + 87*y**3 - 19*y. List the prime factors of c(1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**5 + 3*r. Let c(n) = n**5 + 6*n**4 + 7*n**3 - 92*n**2 + 150*n - 64. Let p(d) = -10*b(d) + 5*c(d). What is u in p(u) = 0?\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-2 + 2 + -1). Let y be 94\/(-14) + (-2)\/7. Is y less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = 30. Let w(g) = g**3 + 6*g**2 - g - 3. List the prime factors of w(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40716)\/(-132327))\/((-98)\/13)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36365 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*c**4 + 5*c**3 + 3766*c**2 wrt c.\nAnswer: -1512*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 31*j**2 - 30*j + 7. Let z be d(30). Let h(p) = -p**3 + 6*p**2 + 9*p - 2. Give h(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-6 - -16) - (9 + 1)) + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Let s be (w\/(-1) - 0) + 4. Suppose 7*o = s*o - 1020000. Round o to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307 + 1160 = 180*d - 1933 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9143 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253*g**5 - 273*g**2 + 2*g wrt g.\nAnswer: -15180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075166 rounded to six decimal places?\nAnswer: 0.000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*x + a + 3*a, -x + 5*a + 6 = 0. Suppose 3*q + 3*m - 10 = -37, 0 = -m - x. Is 147 + q*(-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/5 - -5 - 29706. Let z be p\/(-3458) + 2 - (-6)\/(-39). Let x = 198\/19 - z. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 10:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = b + 5*j, 2*b - 1455*j = -1463*j + 250 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330049, -1320277, -2970657, -5281189, -8251873, -11882709, -16173697?\nAnswer: -21124837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -910.62 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4382 - -0.440021. Round i to five decimal places.\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23367, -23354, -23341, -23328?\n\"Answer: 13*l - 23380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k\/k**(-22)*k)\/k*k**(-2\/51)*k)\/((k**(-9\/5)\/k)\/(k*k**(20\/7))) assuming k is positive.\nAnswer: k**(60008\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-26)\/(-14) - 2). Suppose 8*m - 4 = d*m. What is the second derivative of -4*w - w + m*w**3 + 13*w wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9000239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2708 (base 14) to base 7\nAnswer: 26011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/755766 and -19\/14574?\nAnswer: 5290362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -597204 divided by -477\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2164b5 + 48?\nAnswer: -216469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**9\/432 - 3*c**5\/10 + c**4\/6 + 30*c**2. Let f(o) be the second derivative of u(o). Differentiate f(z) wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1*(-1)\/(-5) - (-29344)\/(-1120))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 10. Let g be z(-3). Suppose -g = w - 5. Let d = w - -2. Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-25 - -9) - ((0 - -1) + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4 + 4*l**2 - l**2 + 0*l**2 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1058253 and -3.\nAnswer: -0.3174759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4241)\/(10\/(-24) + 4\/16). Let a = x - 17346. What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-5)*b*b**(-5))**(1\/4)\/((b**(-1))**(-9)*b*b\/(b\/(b\/(b**(1\/6)*b)))*b**(-1\/5)) assuming b is positive.\nAnswer: b**(-683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1934*m + 12. Let x(u) = 3*u - 7. Determine v(r) + 2*x(r).\nAnswer: 1940*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.173921 less than -1511.7945?\nAnswer: -1429.620579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 65*l - 1304240. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25819516 is divided by 179.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 50 - 35. Let h(y) = -4*y**3 - 4*y**2 - 3*y - 3. What is the tens digit of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (6 - 5)) + 4 - 4 - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.499882 + 30.5. Round m to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2305?\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w = -3. Suppose -w*h + 4 - 13 = 3*m, -4*m + 24 = -2*h. What is the units digit of (110\/15)\/((-4)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2253*v - 12*v**2 + 31 + 2253*v + 8*v**2.\nAnswer: -4*v**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m. Sort -2, m, -1 in ascending order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400140100 - 303?\nAnswer: -400140403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 14*k = 431 + 129 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/9 + 70*p\/9 - 176\/3 = 0. What is p?\nAnswer: 11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvz when three letters picked without replacement from vzzvzzvvzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - -0.08. Let v = x + 12.87. Let r = 12.9 - v. What is the second smallest value in r, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*q - 218*q + 48. Let d = -1 - 4. Does q = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1589, -3163, -4737, -6311?\n\"Answer: -1574*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 1010?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15786 - 15644. Solve -415 = 39*h - s for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324465 is divided by 63553?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 12*h**3 + 18 - 12*h**3 - 16 + 2*h + 25*h**3 - 4*h**4 - 4*h**2 as j*h + t*h**3 + i*h**2 + f + v*h**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:55 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*sqrt(75).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/3, -0.12, 5?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 5*f**2 - f - 4. Let c be 5*(-3)\/(1\/(-1)). Suppose -4*h + h - c = 0. What is the units digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2*u**3\/3 - u**2 + u + 1. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 49 + 83. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 4*l + 12 = 0, -5*s + 2*l + 6 = 0. Suppose -2*x + 8 = s, 4*x + 11 + 1 = 4*c. Is 7 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126.62 + -1.38. Let y = b + 128. Suppose k = -0*c - c + 6, 3*c - 3*k = 0. Sort y, c, 0.2.\nAnswer: y, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.8 rounded to the nearest integer?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2198, -4384, -6572, -8762, -10954, -13148?\n\"Answer: -p**2 - 2183*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)\/g*g*g**(2\/7)\/g*g)\/(g**(1\/7))**(-46) assuming g is positive.\nAnswer: g**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 18381032.\nAnswer: 18381032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321 + 321. Solve 0*v + 6*v - 30 = z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, p: 1, h: 1, l: 1}. What is prob of sequence hhi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 - 15*i + 58. Let f be d(-10). What is the remainder when 12\/f*1208\/12 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/((-77)\/(-21)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n + 33. Let v be b(-4). Let m be v*(-80)\/(-72)*42\/5. Let f(a) = -a**3 - 26*a**2 + 37*a + 49. Is f(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 7. Let k = -5 + 10. Let b be c(k). What is the common denominator of -58\/3 and 3 + (-99)\/b - -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 + 47*v - 13. Let s be k(7). Let j be ((-6)\/15)\/((-16)\/s). Solve 0 = j*z - 7 - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*j**3 - 148*j**3 - 87*j**3 - 44*j**3.\nAnswer: -695*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 + 2*r**2 + 2*r**2 + 2*r**2. Suppose 0 + 6 = 3*v. Let z(k) = 4 - 4 + v*k. Give p(z(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 1837?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -982.8 - -790. Let d = -194 - n. Sort 0.2, d, 1, 2 in decreasing order.\nAnswer: 2, 1, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11263 + 11263.66024. Round n to 2 decimal places.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:00 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -88 + 88 + g. Let k = 0 + -1. Let h(i) = 3*i**3 + 4*i. What is k*h(j) + 4*y(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 60 - 1662. Suppose -20 = c - u. Suppose -3*y = -c - 47. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = -6. Let v be (-27)\/(-6) + 16\/(-32). Suppose -2*j - 21 = -2*i + 19, -4*j + 64 = 2*i. Solve 2*z + v*c - 12 = 0, -2*c = -4*z + b*c - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20785*d*p**4 + 17*d*p**2 + 10*d*p - 14*p**4 - 711*p**2 + 2*p wrt p?\nAnswer: -498840*d*p - 336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3111, -6240, -9363, -12480, -15591, -18696, -21795?\nAnswer: -24888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/7 - 2) + (49 - 46)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*n - 323*n + 14000 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 290*n**2 + 5543*n + 36. Determine a(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 6, -0.58, 4?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*f + 213*f**2 + 949*f - 5*f**3 - 121*f + 77*f**2 - 176000.\nAnswer: -5*(f - 40)**2*(f + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2867, -5531, -7981, -10223, -12263?\n\"Answer: -c**3 + 113*c**2 - 2996*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/992 and 109\/1680?\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 24*r - 26*r + 4, 7*b + 29*r = 109 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/(-36) - -3 - (-1 + 28554\/(-4)). What is the greatest common divisor of z and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1539*k + 159*k + 559*k + (0 + 2 - 1)*(k - 1 + 1) + 2*k + 0*k - k.\nAnswer: 2259*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*j + 100 = 116*j - 5*g, -g = -5*j + 284. What is the greatest common factor of 440 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*y + 153*y = -140 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827738684.\nAnswer: 2, 449, 641, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -637\/4. Which is the second smallest value? (a) j (b) -0.11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/(-120) + 1)*-4.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 187?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 83, -4, -7 in decreasing order.\nAnswer: 83, 1\/9, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v + 22. Let u(a) = 2*a - 1. Let c(z) = z. Let y be c(1). Let i(k) = y*w(k) + 3*u(k). Let h be i(-9). Solve r - h = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 304 (b) 1 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 - 220*a + 6050 = 0.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 676 = 228. Suppose 2*k + 104 = -4*f - 108, -f = -2*k - 207. Let c = h - k. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-15))\/(28\/63)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s - 3*c + 204, c + 255 = -5*s. What are the prime factors of (((-618)\/4)\/3)\/(s\/1224)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 2 in descending order.\nAnswer: 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 - 4540*v**2 - 27375*v - 41130 = 0 for v.\nAnswer: -3, 914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*v + 9 - 4 = 0, 0 = 5*d - v + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 o when four letters picked without replacement from {o: 1, n: 4, i: 1, d: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1026705.99988 + 1026679. Let y = 27.0231 + -0.0231. Let o = y + x. Round o to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7363891 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 7*d + 5. Let x be f(7). Suppose -x = -w + 25. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568 times -0.1\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156520866?\nAnswer: 2, 3, 1997, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*o + 10. Solve -3*p = -p + 4*n - 20, -4*p + o = -5*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a**2 - a + 2. Let h(r) = r + 2. Let w be h(-6). Let u be j(w). Suppose -48 = -f - c, f + 275 = u*f - 2*c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1074 + -1074. Solve 2*b = 3*b - f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n**5 + 44*n**4 + 292*n**3 + 518*n**2. Let q(m) = 3*m**5 + 15*m**4 + 97*m**3 + 173*m**2. Let o(y) = 4*l(y) - 14*q(y). Factor o(v).\nAnswer: -2*v**2*(v + 5)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1198875\/11 + 108906. Let p = 224331 + -4937127\/22. Let u = p - x. Calculate the common denominator of u and -85\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320282918 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-137)\/84 - (2 + 1)\/(-12) and -13\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153)\/sqrt(3))\/sqrt(3).\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 3:35 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33498 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 225 = -11*a + 6*a, 3*k = a - 45. Let l = 78 + a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(77)\/sqrt(112) + sqrt(11)))**2 - ((sqrt(1872) - sqrt(1872)*2)**2 + 0).\nAnswer: -46592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/48 and -109\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 4. Let m be y(-3). Suppose 0*w - 8 = -m*w. Suppose 5*v + 2*h = -2*h + 61, 5*v = w*h + 69. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/6 + l**2\/2 - 3*l. Let n be z(-1). Suppose 2*f - 7*f + 115 = n. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -84*o - 2189. Let w be z(-26). Let h(g) = -19*g + 5. Let u(q) = -10*q + 3. Give w*u(y) + 3*h(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -41, 1\/5, 0.9, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b*b\/(b**(-3\/2)*b*b)*((b**(2\/3)*b)\/b)**19)**38 assuming b is positive.\nAnswer: b**(2185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19.10104 and -54952.\nAnswer: -54932.89896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + 0.01. Let h = 0.01999974 + k. What is h rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 10. Let u be a(-2). Suppose -x - 4*x - 4*d = -15, u = -2*d. Factor -2\/11*q**4 + 8\/11*q**x - 24\/11*q + 4\/11*q**2 - 18\/11.\nAnswer: -2*(q - 3)**2*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/12 + 5*g**3\/6 - 4*g**2 - 3*g. Let k be (-4)\/(-2) - (3 + 6). Does 3 divide d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, v: 2}. Give prob of sequence vqvq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2498276471 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27456 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -4*x + 298, 0 = 3*f - x + 437. Let h be (f\/(-87))\/((-2)\/(-6)). Suppose 5*l - 1112 = 3*s + 828, h*s - 1589 = -4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 d when three letters picked without replacement from ebbdde.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d - 37. What is x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l. Let s(z) = -z**2 - 7*z + 2. Let a be s(-7). Suppose a*u - 1 - 5 = 0. Suppose -11 = -j + 2*i, 0 = 2*i + 7 + u. Give g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -8*t - 29. Let a(c) = 20*c**2 + 1. Let r be a(1). Suppose r + t = p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 22*s = -20*s, -s = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162485057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (524*o**2 - 2682*o + 1337*o + 1343*o)*(-2 - 1 + 2) + (-o - 1 + 1)*(-4*o + 2*o + 3*o).\nAnswer: -525*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - -8)*(-34)\/(-4). Let t = 12 - o. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3399474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*q + 731*q - 3*q**3 - 1692*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1135255 - 1137655.724. Let k = -2468.72451 - o. Let a = k - -68. Round a to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -128.07?\nAnswer: -512.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 19*n**2 - 49*n - 596. What is the units digit of c(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let d = 113 + -114. Let n = d + 0.9. Which is the closest to 0? (a) f (b) n (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Suppose -3*q + 18 = -r. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2)*2\/2. Let v be m*(1 + -2)\/((-9)\/393). Let l = 43 + v. Which is the nearest to l? (a) -4 (b) -1\/15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875 = 3*o - 4*o. Suppose -2*l + o = 57. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 - 1. Let p be x(-1). Let k = p + 10. Let n(l) = -3 + l**3 + 0*l**3 + 6*l - 5*l**2 - 2*l. Give n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445 + 817. What is the second derivative of 373*n - s*n - 2*n**3 + 3*n**5 - 13*n**3 - 59 wrt n?\nAnswer: 60*n**3 - 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 33\/37, -0.2, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928759803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201502977 and 897.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346638 is divided by 103583.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1325 + 12?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.1 (b) 5\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, n: 4, c: 2}. Give prob of sequence nncn.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3065584 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/2 + 27*r\/2 = 0. Calculate r.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -69, -83, -77, -45, 19, 121?\n\"Answer: s**3 + s**2 - 38*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -6)*((-1)\/(-6) - 378\/324). Let f(i) = 15*i + 1. Let v be f(-1). Let n be (-4)\/14 - (-66)\/v. Which is the nearest to d? (a) 1\/3 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 - 45*g - 149. Let z(w) = 3*w**2 - 22*w - 76. Give -2*d(s) + 5*z(s).\nAnswer: s**2 - 20*s - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161725*g**2*q**2 + g**2*q + 23*g**2 + 6*g*q**2 + 9*g*q - 30*g + 9*q**2 + 2 wrt g?\nAnswer: 323450*q**2 + 2*q + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 11*b + 14*b. Suppose k + 5*l - 30 = 0, -b*l = -2*l - 10. Solve -2*p + 25 = -k*y, 0*y - 25 = -4*p + 5*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let n(p) = -3*p. Give -3*n(t) + 5*v(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10012102 (base 3) to base 8\nAnswer: 4435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*o**3*p**2 - 28*o**2*p**2 + 299*o**2 - 2*o*p**2 - 18*o - 9*p**2 + 7*p + 2 wrt o?\nAnswer: 90*o*p**2 - 56*p**2 + 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12899, -15690, -20343, -26858?\n\"Answer: -931*p**2 + 2*p - 11970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1611534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34997.9 minus -142.9?\nAnswer: 35140.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 2*g - 6 + g. Let u = -7 + 11. Calculate h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4) + 2\/(-2). Let v = -0.0425 - 4.7875. Let o = -5.13 - v. Sort 3, 6\/5, q, o.\nAnswer: o, q, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 4 - (38 + 3). Does 11 divide v*2*9\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t**2 + 115*t**2 - 276*t - 241*t**2 + 277*t.\nAnswer: 28*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 2*o)*(-o - 6*o - o) + 0*o**2 + o**2 - 2*o**2 + (-1 - 1 - 8)*(0*o + 0*o - 2*o**2) + 4 - 4 - o**2.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3378847*w**2 + 6370878 wrt w.\nAnswer: -6757694*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(847) + sqrt(847) + sqrt(847) + sqrt(847)*3 + 5 - sqrt(847))**2 + sqrt(847) + 3 + (-2*(-3 + sqrt(847))*1)**2)*-3.\nAnswer: 5346*sqrt(7) + 443286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/22*(-451)\/(-82))\/1*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 182482?\nAnswer: 1642338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 10\/13, -0.05?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 124. Calculate w(18).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -13. Let r(x) be the first derivative of 23*x**3 + 2. List the prime factors of r(z).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**2 + 67*l + 8. Calculate v(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.64 + 0.14. Let o = q - -8. Which is the second smallest value? (a) o (b) -11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -14081?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 1, e: 1, a: 2}. Give prob of picking 1 f, 1 p, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -39*u - 623. Determine j(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.88974442 - 2.8895. What is i rounded to 6 decimal places?\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85509001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/24 - (-57)\/18 - (-3545)\/(-1185). Let w = -15.1 + 15. Is j != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-4))\/1)\/((-4)\/(-16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let n be ((-8)\/(-20))\/((-1)\/(-5)). What is the third derivative of 12*j**4 - 15*j**4 + n*j**i - 3*j**2 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003895350083 rounded to six dps?\nAnswer: 0.003895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13923, -55659, -125203, -222543, -347667, -500563, -681219, -889623?\n\"Answer: 2*a**3 - 13916*a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052 is divided by 951.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 17 - 6) + -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*t - 5, -t = -3*k + 21 - 8. Suppose u**3 + 2*u**3 + 2*u**2 - k*u**4 + 2*u**3 - 5*u + 3*u**2 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -768737*p**2 + 3*p - 39900?\nAnswer: -1537474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 361*z**3 + 989*z**2 - 14*z - 55444 wrt z?\nAnswer: 2166*z + 1978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001804152 rounded to 7 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + 3) - (((-1*sqrt(85))\/sqrt(5))**2 + sqrt(17)).\nAnswer: -26 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - l - 8. Let q be a(0). Let r = q - -11. Suppose 4*f + 0 = -5*y + 4, -r*f + 10 = 2*y. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 187488*u**2 - 2929125015*u - 5859000006.\nAnswer: -3*(u - 31249)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81155 - 243434 - 155*h + 81135 + 81142.\nAnswer: -155*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -904924 plus 0.766?\nAnswer: -904923.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*q**3 - 5433*d**3*q + 4622*d**3 wrt q.\nAnswer: -6*d**3*q**2 - 5433*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58762 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 + 128. Calculate the common denominator of 1\/2 and (-295)\/160 - (-1 + b).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 1270?\nAnswer: 163830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -317 and -31?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317070 by 5.\nAnswer: 63414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 - 16*s**2 - 2*s + 12*s**2 - 6*s**2 + 2 to the form i*s**2 + y + r*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, -5\/4, 13\/3, 4, 0.8 in descending order.\nAnswer: 13\/3, 4, 0.8, -0.27, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**2 - 8 + 26*z**2 - 17.\nAnswer: 2*z**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*3)**2 - (sqrt(5) - (sqrt(125) + 2)) - ((-1*sqrt(180) - sqrt(180))*4 + (-1 + (sqrt(180) - sqrt(180)*-1))**2 + sqrt(180)).\nAnswer: -539 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2 - 66791*v\/4 + 4175.\nAnswer: -(4*v - 1)*(9*v + 16700)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 53?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -24023*g - 216213. What is c(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89754984.\nAnswer: 2, 3, 11, 113327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a. Solve -5*s - 8 = -t - 2*s, a = -2*t - 4*s - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5529416*a**3*v - 1152*a**3 + 5*a**2*v - 7*a - 1148 wrt v?\nAnswer: -5529416*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2027 + 241*k**3 + 2029 + 207*k**3 - 576*k**3.\nAnswer: -128*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 214231 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 4 (c) 0.0647 (d) 6 (e) 0 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272456.\nAnswer: 2, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31289, 125142, 281565, 500558, 782121?\n\"Answer: 31285*l**2 - 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59299, 118583, 177849, 237097?\n\"Answer: -9*m**2 + 59311*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1c9b4bb?\nAnswer: -1c9b4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 583 and 30369?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xayy when four letters picked without replacement from {f: 2, c: 1, x: 1, y: 7, a: 5}.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 10764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/(-432)*37\/(370\/1080).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033980533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2. Let k(s) be the second derivative of s**4\/12 - 155*s**3\/6 - 261*s. What is k(v(f))?\nAnswer: 4*f**4 + 310*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -77. Let m = g + 60. Which is the closest to m? (a) 0.4 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-1 + 13\/4). Let f be (t\/3)\/(1 + 2). What are the prime factors of 9*3*f\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -0.4 (c) -3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 15. Suppose 446 = 33*c + 116. Calculate i(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3)*-3 + 4 + 0)**2 - ((sqrt(240) + sqrt(240)*2)\/sqrt(10))\/(2*sqrt(8)*-1).\nAnswer: 99*sqrt(3)\/2 + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1086655799 rounded to 5 dps?\nAnswer: -0.10867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 + -0.05. Let w = 0.3 + -0.5. Let o = w + n. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474300*t**2 - 18 + 18.\nAnswer: -474300*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 676, 1740, 3812, 7228, 12324?\nAnswer: 19436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204.1 + -226. Let f = 22 + u. What is the closest to 0 in f, 1, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25688 is divided by 1288.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132088 divided by -4.\nAnswer: -33022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961, -1885, -2811, -3739?\nAnswer: -4669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 1, r: 2}. What is prob of sequence kkr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k + 20. What is x(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 3*z**2 - 986*z + 3863. Calculate f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2393279 + 2393279 - 215*q**3 + (3*q**2 + q**2 - 2*q**2)*(-q - 2*q + 2*q).\nAnswer: -217*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.60491 - 0.017.\nAnswer: 0.58791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - y + 529 = 1863, -4 = 2*y. Is 37\/a + 46702\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598246.83 rounded to the nearest one thousand?\nAnswer: -598000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**5\/60 - j**3\/6 - 7*j**2 - 2. Factor l(g).\nAnswer: (g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12354, 24513, 36672, 48831, 60990, 73149?\n\"Answer: 12159*t + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/1959, -336, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 661 - 694.9. Let u = g - -34.04. Round u to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*r + 2 + 67*r - 23*r**2)*(-r**2 + 7*r**2 + 0*r**2).\nAnswer: -138*r**4 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*x**2 - 30*x**2 + 29*x**2.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 + -0.0627. Round r to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - i)*(6*i**2 + 3*i**2 + 5*i - 8*i**2)*(3*i - i - 3*i).\nAnswer: i**4 + 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90324 divided by -45162.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**20\/(t**(-8)\/t) assuming t is positive.\nAnswer: t**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.75 in -0.5, -10, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 180 = h - 64, -2*f + 516 = -5*h. Let y(w) = -118*w - f*w - 334*w. Let o be y(-10). What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 91235*a - 3649399. Calculate y(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/18 - (-2)\/9. Let d(t) = t**3 + 43*t**2 + 5*t + 219. Let f be d(-43). Solve -4*g + 5 + 3 = w, f*x - 30 = -5*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/368 and 47\/3588.\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 - 5 = 0. Let m be (27 - 1)\/(-1 + 3). Let y = m + r. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.42646888 from 22.797.\nAnswer: 24.22346888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 + 131 = -s, -4*s = 5*h - 187. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4.06. Let x = -2.06 - d. Let u(b) = b**3 + 8*b**2 + 12*b + 5. Let o be u(-6). What is the third smallest value in x, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101476423 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 639339882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243.59, 3\/4, 0, -4 in ascending order.\nAnswer: -243.59, -4, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207208209*u**4 - 3*u**2 + 2000*u + 6493?\nAnswer: 4972997016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Suppose -8 = -3*q + q. Let x = q - 2. Let m(f) = f + 0*f + 2 - x. Give m(l(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63666.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21*z + 924. Let t be x(44). Put 4, 54, t in decreasing order.\nAnswer: 54, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -9*i**2\/2 - 3709. Suppose -4*q - 4*s - 4 = 0, q + 2*s + s = -7. Let l(y) = 2*y**2 + 3*y**2 - 6*y**q. Calculate w(l(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16 + (-16 + 0)\/4. Calculate the remainder when (-21 - b)*(-57 + 0 + -1) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0767 - -0.3233. Let b = -43\/2 - -22. What is the closest to b in 2\/3, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.346552ms to microseconds.\nAnswer: 1346.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -20. Let r(c) = -w - 2 + c - 6400*c**3 + 3. Let t be r(1). Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2, 408 = -3*a + 2*z - 554. Suppose 6*d + x = 5*d + 19, 101 = 4*d - x. Is 12\/(-10)*a\/d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 3570 = -36*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625153156?\nAnswer: 2, 3, 72920921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 8912.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 57*n**2 - 5. What is the remainder when i(-2) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 52 = 0. Suppose 6*j - 2*j = d. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 4 (c) -475\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 558*v + 6 + 3.\nAnswer: 558*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let t(c) = 5*c**2 + c - 1. Let p be t(g). Does 6 divide 117\/7 + 6\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 - 3*y**3 + 4*y**2)*(-2*y + y + 0*y) + 355*y**4 + 2208*y**2 - 2210*y**2 + 1309*y**4.\nAnswer: 1667*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 8*s - 7. Let k be y(-4). Let u(z) = z**2 - 11*z - 9. Calculate u(k).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 - 7)\/(-4) + 167\/(-44) and 91\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -8, -19, -34, -53?\n\"Answer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m - 1253. Let k(r) = 6*r + 137. Give l(k(z)).\nAnswer: 36*z**2 + 1650*z + 17653","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6433 = i - 5*q, 0 = 5*i + 124*q - 127*q - 32121. Round i to the nearest 100.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 - -2079.7.\nAnswer: 2197.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.4, 9, 2\/25, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 2a?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 27*n**2 - 4*n + 111. Let i be p(27). Which is the second smallest value? (a) i (b) -5 (c) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31192 - 31192 + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 + w + 1. Suppose 10 = 2*j + 3*j. Let f be t(j). Suppose -f*o + 0*o + 18 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 5. Let z = 10 - 5. Let h be u(z). Suppose l + 0*l = h. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let w(r) = 14*r + 13. Let c(f) = 3*f + 3. Let b(v) = 9*c(v) - 2*w(v). What is 2*a(p) - b(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -88850*a. Let u(n) = n**2. What is k(u(b))?\nAnswer: -88850*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwkppwpwvnvk. What is prob of sequence vpwp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 9 - 3, -1 - 71 = -5*a - 4*t for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 3. Let y(h) = 3*h + 2 + 5 - h**2 - 5. Let k be y(3). Give g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:45 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71795.\nAnswer: 5, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 8*u + 38. Let w be i(-11). Suppose 14 = 2*g - 5*h, -w*h - 18 = -8*g + 4*g. Let l = 4 + -3. Solve -l - 3 = -g*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -448, -673, -898?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121212 + -2001221?\nAnswer: 2112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 55*q**2 - 54*q - 99. Suppose 0 = -4*f - 4*j + 176, 4*j = -f - j + 28. What is the remainder when f is divided by n(56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*t + 6 = -0*y, 2*t = y - 10. Suppose y*p = -20, w - 5*p = 5*w - 47. What is the remainder when 37 is divided by ((-12)\/w)\/((-4)\/78)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141093538*l + l**3 + 70546763*l + 70546775*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/382 and -89\/47368.\nAnswer: 47368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - f - 3*f)*(f + 9*f - 14*f)*(14 + 12 - 1).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 divided by 82?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54745151 to the power of 1\/2, to the nearest integer?\nAnswer: 7399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113964 - -113964.0048751. What is m rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 462, 679, 894, 1107, 1318?\nAnswer: 1527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 19*o**2 - 34*o + 3. Let g be p(-17). Let u = 3 - 0. Let f = u + -4. Which is the closest to g? (a) -2 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuhu when four letters picked without replacement from tthuttutu.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125333\/900 - 3528\/25. What is the common denominator of -26\/63 and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/51774 and 67\/254.\nAnswer: 6575298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 36. Let x be y(-16). Suppose -26*r = -23*r - x. Calculate the smallest common multiple of 2 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + 8 + (6 - 21) + -92 + 111.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1862 + -1864. Suppose 4*k + 1499 - 435 = 0. Let l = k - -4524\/17. Which is the third smallest value? (a) g (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-15)\/(-10) + (-57)\/10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59, 95, 149, 215, 287, 359?\n\"Answer: -t**3 + 15*t**2 - 2*t + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 4002.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.505862 to 2 decimal places.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -3\/4 (c) 195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25491*a - 12132 + 12132 - 5924*a)*(-4 + 4 - a**2) to the form k*a**3 + m*a**2 + n + d*a and give k.\nAnswer: 31415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/490*1640\/(-492))\/((-2)\/7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20\/3, -3\/5, 1, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/75 and 2\/3438*(-6132)\/56.\nAnswer: 28650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 286335 - 286344 = 3*z, 5*z = -m + 38 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f**2 - 4*f - 6*f + 19*f + f**2 + 5. Let h be p(-5). Let y = -4 - h. Calculate the remainder when 31 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 - 291 = -19*x. What is the third derivative of -2*v**4 - 15*v**4 - x + 4 + 0*v**4 + 2*v**2 wrt v?\nAnswer: -408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + sqrt(57)\/sqrt(3) + 1)) + -1*-2*sqrt(19) + 3)**2 + -3.\nAnswer: 4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/(2\/1). Suppose d + s + 3 + 3 = f, -2*d - 32 = -3*s. Let i = d - -10. Is i at least 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22236 and 38352?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -415116223676.\nAnswer: -415116223675.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.93 - 0.07. Let g = r - -4.3. Let t = 4 - 7. Which is the third smallest value? (a) 2 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.04323 hours in days?\nAnswer: 0.37680125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 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: Suppose -7 = 5*z + 3*c, -2*z + c + 0 + 6 = 0. Let o be (-5)\/(-4 - z)*2. Solve -5*n - 15 = -5*t, 0*t = o*n + 4*t - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 311.\nAnswer: -93.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 5 = -5*s. Suppose 4*x - 2*b - 11 = 9, -s*x - 5*b - 8 = 0. Put -3, 4, x in ascending order.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -u. Suppose -o + u*i = -0*o - 2, -i = 2*o - 4. Suppose -3*l = o*l - 135. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*r**2 - 8 + 11 as b*r + v + u*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -84006 divided by -13\nAnswer: 6462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29a2 - -a32?\nAnswer: -1b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5895, -5896, -5897, -5898?\nAnswer: -5899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 79*t - 2. Let i(z) = 2*z**2 + 114. Give i(q(f)).\nAnswer: 12482*f**2 - 632*f + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let n(m) = 12*m**2 + 24*m - 24. Let q(y) = y - 1. Let t(h) = n(h) - 24*q(h). Give t(u(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 462 - 372. Suppose -18*i - 4*f = -20*i + 166, 2*f = -5*i + 403. What is the lowest common multiple of y and i?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15313, -30598, -45873, -61132, -76369, -91578, -106753?\n\"Answer: v**3 - v**2 - 15289*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776524070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 32. Let k be w(12). Let s be 0 - (316\/(-6))\/(k\/(-30)). Let o = 51 + s. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1870 and 1666?\nAnswer: 91630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c = 3*t + 64*c + 48, 3*t - 4*c = 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1, 1923 in increasing order.\nAnswer: -4, 1, 5, 1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9877 - -9887. Solve -i = -3*t + 20, 5*i - 3*t + o = -6*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from {q: 5, o: 2, f: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244303029?\nAnswer: 3, 1231, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 290, 1486, 4068, 8552, 15454, 25290, 38576?\nAnswer: 55828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 + 3*t**3\/2 + 17*t. What is the second derivative of d(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -9 - (6 + -19)) + -9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 33162870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 + (-30)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 415*c*z**2 + 56*c*z - 368409*c + 3*z wrt z?\nAnswer: 830*c*z + 56*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 6076.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 17. Suppose -8 = -6*i + 2*i. Suppose -2*h - 2*c + 38 = 0, i*h + 2*c = -3*h + 89. Let l be d(h). Solve l = 3*n - 0*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90324 and 462428.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.79 - -1.21. What is the closest to p in 5, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + (sqrt(143) - (sqrt(143) - 4*sqrt(143)*-2))))\/(-5*(sqrt(11) - sqrt(44))) + -3.\nAnswer: -3 + 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -627 - -2?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 12:37 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let o(h) = h**2 - 3. Let a(s) = 2*o(s) - 6*x(s). Let c be 2\/(-4)*(-4 - -4). Let k(g) = -2*g**2 + c*g + 0*g. Calculate k(a(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 935693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 2629?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 + 544*m**3 - 125918*m**2 + 17623996*m\/3.\nAnswer: -2*m*(m - 377)**2*(m - 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -15, 16, 91, 228?\n\"Answer: 3*u**3 - 5*u**2 - u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1258*n**3 + 221*n**2 + 221. Let f(j) = -14858*j**2 - j**3 - 33*j**3 - 6 + 14852*j**2. Give 221*f(l) + 6*i(l).\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__add_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: Let s be (0 + -4)\/(-4)*2. Let p(o) = 0*o**2 + o**s - 2*o**2 + 3*o**2 + o. Let w = 76 + -75. Give p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9379*m**6 + 267*m**2.\nAnswer: 1125480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 46829784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/15)\/((-1)\/(-9)) + -1. Let s be (-2)\/(-1) + (-439)\/(-28). Let v = 73\/4 - s. Sort 4, v, d.\nAnswer: d, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88648 divided by 44324\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = r + 2*d + 8, 4 = r - 3*d. Let s(i) = i**3 - 2*i**2 - 4. Let m be s(3). Sort m, 0, r in ascending order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 4*m. Let j be b(4). Let v = 9 + j. Let w = 12 + v. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -20. Let u be 3 + k*(3 + -4). Let g be 3 - (1 + u + -5). Put -4, 2, g in increasing order.\nAnswer: -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2 + 5 + (-3 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 11. Let a(u) = -7*u - 22. What is -3*a(q) - 5*t(q)?\nAnswer: q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-29)\/((-725)\/30))\/7)\/((25\/35)\/1)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1109*a**4 - 7745*a**3 + 4*a**2 - 29*a + 662?\nAnswer: 26616*a - 46470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a. Is 13 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 - 2*r**2 + r. Let h(j) = j + 10. Let a be h(-10). Let s be (-1 + a)\/(-1 - 0). What is k(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 - -5?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let m = 4 - 5. Let h = 25 + -30. Which is the closest to m? (a) h (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.19. Let s = -5.09 + k. Let f = -3.93 + -0.07. Which is the smallest value? (a) s (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34195 and 38780.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*r + 271*r - 1 + 1.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:04 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1948*n. Let b(a) = 3*a + 15. Calculate b(z(o)).\nAnswer: 5844*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 160 in -2\/53, -0.4, 4, 0, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 5, l: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - u + 2*u - 1)*(-2*u + 4*u + 0*u + 375 - 375 + 38*u + (2 - 2 - 2)*(u - 2*u + 2*u) + 1 + u - 1 + (-4 + 4 + 2)*(0*u + 2*u - u)).\nAnswer: 41*u**2 - 82*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7229 = -300*l + 4471 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*((-5)\/3 - -1). Let m be (-96)\/287 + (-236)\/(-4838). What is the nearest to -2 in w, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17283 divided by -4.\nAnswer: 17283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20101172 rounded to four dps?\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 379?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 1953. Let g = -3995\/6 + u. Let t = -649\/2 + 283. Find the common denominator of t and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*l**3*x - 2*l**3 - 350*l**2*o - 22*o*x with respect to x.\nAnswer: 9*l**3 - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -9, 1, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 57799, 0.5, 2, 4, -1\/3, 0 in ascending order.\nAnswer: -3, -1\/3, 0, 0.5, 2, 4, 57799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8593, 17183, 25773, 34363?\n\"Answer: 8590*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - z**2 + 10*z**2 - 15*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -44. Suppose 1491 = 3*l - i, 0 = t*l + 4*i - 1119 - 1349. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.47 + -0.53. Which is the second biggest value? (a) 5 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 7:23 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 4. Suppose 2*f + g = 0, p - 5*p - 42800005 = f. What is p rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1257\/(-2) - 0. Let g = 650 + u. Find the common denominator of g and -3*(-67)\/12 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from tixtxtfiit?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 18 - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1290834 and 3585650.\nAnswer: 32270850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 749004889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 595237*h**2*l**3 - 3*h**2*l + 56382*h**2 - h*l**2 - 2*h*l + h - 23*l**3 - 86*l wrt l.\nAnswer: 3571422*h**2*l - 2*h - 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**2 + 66*f + 2*f**3 + 81*f + 11*f**2 - 53*f.\nAnswer: 2*f**3 - 25*f**2 + 94*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4658814 and 106506.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -10*j + 3*j, 780 = 5*h - j. What is the greatest common factor of h and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -66\/5, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 100900081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3\/7 (b) 0.5 (c) -2\/15 (d) -0.15 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465824.7 rounded to the nearest 10000?\nAnswer: 2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30103202 - 100001?\nAnswer: -30203203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -158 (b) -2\/7 (c) 3 (d) -2 (e) -0.3 (f) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**5\/60 - 5*t**4\/24 + 83*t**2 - 1. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-28) + 25\/100)*-35?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 4*a**3 + a**3)*(0 - 1 - 1)*(0 + 1 + 0 + (4 - 2 - 4)*(-5 + 4 + 0)).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + (sqrt(150) - (sqrt(150)*4 - sqrt(150)) - sqrt(150)))\/(sqrt(3) - (sqrt(75) + sqrt(75)*-1 + sqrt(75))))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 + 5*r - 5*r + 83434*r**2 - 83441*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/5418 and -10\/25341.\nAnswer: 45765846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-79)\/(-9) - 4\/(-18). Suppose o - 3*r - 2*r = 24, o - 2*r - w = 0. Let g be o + 1*1*22. Solve -4*u + g = 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q**2 + 1 + 61*q**2 - 152*q**3 - 28*q**2.\nAnswer: -152*q**3 - 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 9. Let j(y) = -2*y - 9. Let w(z) = 3*j(z) + 4*p(z). Suppose -2*q - 6 + 8 = 2*h, -17 = -3*q + 4*h. What are the prime factors of w(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -375, -377, -379, -381?\n\"Answer: -2*t - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*v - 57*v = -41*v - 3234 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31589 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + p**2 - p + 9. Determine l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11117 = 26*s + 11585 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w**2 + 4*w**2 + 2*w**2 as j + u*w + z*w**2 and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3030761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5962022?\nAnswer: 2, 11, 457, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -21598095.\nAnswer: -1\/7199365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (-30)\/(-5 + 2). List the prime factors of 2\/j*51 - 3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w**3 + 0 + 11\/60*w**5 + 0*w + w**2 + 0*w**4. Let r(s) = 2*s**2. What is j(r(t))?\nAnswer: 44*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a factor of 615737932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9252 and 11\/5911.\nAnswer: 212796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.36 - -0.06. Round h to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4370 divided by 9215\nAnswer: 46\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:14 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243695 and 1105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 1. Let h be s(-3). Suppose 4*v - 12 = h*q, -q = -2*q + 4*v - 12. Differentiate 2*t - t - 3 + 0 + q with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3022*r - 56890 = -189858 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4200 and 8576232?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cxcyx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 34.4. What is the third smallest value in -2\/7, -0.5, 4, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h**3 - 4*h**2 + 18*h - 20. What is q(2)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33151737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, d: 1}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4921059, 4921018, 4920959, 4920888, 4920811?\nAnswer: 4920734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - 128\/(-56). Let p = -53166\/11 + 4834. Do d and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.55 - -0.45. What is the closest to 1 in l, 0.1, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*((-1920)\/(-312))\/8*(-1183)\/(-28).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 4425151?\nAnswer: -4425156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 16 + -10 - 18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418695821\/3 or -139565275?\nAnswer: -139565275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -4\/53?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 87*s**2 + s. Let h be d(-1). Suppose -4*v = -2*f - h, 2*f = -3*v + 24 + 37. Let b = v - 10. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4\/5 + 48*n**3\/5 + 3*n**2\/5 - 48*n\/5 = 0.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = -3*y + y, 0 = -2*y + v + 14. Suppose -y*m + 124 + 36 = 0. Is m 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 2 in 5, 39.3, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3481*t + 6767*t + 9646*t - 1694092 = 0 for t.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 133.54. Let j = g + 0.06. Let q = -14 + 5. Sort j, q, 4 in decreasing order.\nAnswer: 4, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x + 53. Let b(t) = 6*t + 54. Let f(h) = -6*b(h) + 5*k(h). Suppose -3*l = -7*l + 2*v - 46, -25 = 4*l + 5*v. Let a be f(l). Is -5\/16 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(4\/(-16)). Suppose 0 = -3*s + i*h + 22, -16 = -4*s - 0*h + 2*h. Suppose 87 = 2*g - u, -2*g + 0*g - s*u + 90 = 0. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -69 + -11 + 18 - (2 - 3)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 3*u**2 + u**2 + (-4*u - 4 + 4)*(2*u - 7*u + 0*u))*(-3*u**2 + 2*u**3 + 3*u**2 - 2).\nAnswer: 44*u**5 - 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:41 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 77557*t**2 - 38779*t.\nAnswer: t*(t - 38779)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(sqrt(32)\/sqrt(4)*3))\/(sqrt(44)\/((sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11))*-4)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/23128 and 61\/10648.\nAnswer: 30783368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32016)\/(-160) + (-1)\/10. Let u = 80 + v. Does 73 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -720, -545, -612, -1215, -2648, -5205, -9180?\nAnswer: -14867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**4\/2 + 8*p + 7. Differentiate m(x) with respect to x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-48)*4 - -9*5671\/2862.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f - f + 10*f - 74 + 3 to the form x + a*f and give x.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1010 - 22*n - 1007 + 108*n. Is y(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - -10*3\/(-5). Let a(h) = -21*h - 5. Let u(v) be the first derivative of 5*v**2 + 2*v + 126. Determine y*a(n) + 7*u(n).\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10135 - 5?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.244, 2.41, -0.6 in descending order.\nAnswer: 2.41, -0.6, -4.244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 11*t - 4. Let l be s(6). Solve -6 = 3*b + 3*o, -4*o = -3*b + o + l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 + 160 = -1321*p + 1268*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8*r + 13*w - 129 = 15*w, -4*r = 3*w - 117 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18\/899, 7.\nAnswer: -2, 18\/899, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.767 + 0.8. Let t = m + -0.03331. Round t to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 8012?\nAnswer: 3\/4006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*d - m, -1 = -5*m + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43428838?\nAnswer: 2, 59, 113, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.48, 9, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2433 smaller than -2437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r**2. Let h(d) = -4*d. Let z(l) = -7*l - 29. Let c be z(-7). Let x = c - 23. Let v(g) = 5*g. Let t(s) = x*v(s) - 4*h(s). What is t(f(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -16. Suppose 6*m + t = 11*m. Determine o, given that -2\/7*o**m - 4\/7*o + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/55 and 91\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627838558.\nAnswer: 2, 313919279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, -2, -0.13, 3, -41, 4, 2\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13031465 by 277.\nAnswer: -47045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t**2 - 8*t**2 - 6*t**2)*(4 + 2*t - 21 + 4) to c*t**3 + d*t**2 + l + o*t and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6490\/21 + 14\/(-294) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t - t)*(1 + 2*t - 1) + (3*t + 5*t + 0*t)*(-t + 0*t - t).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.427973813 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169332 by -309.\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1072246 divided by 28.\nAnswer: -76589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/45)\/(2220\/(-2775))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.645 - -1.6. Let z = 1038.5 - 1038.8. Which is the second biggest value? (a) v (b) -2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 - a + 2. Let j = -193 - -142. Let p = -56 - j. Determine k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*f - 36 = -393*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3999 and -0.2.\nAnswer: -799.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w - 7 + 7)*(15 - 15 - 20*w**2) - 21*w**3 + 8*w**3 + 12*w**3 to l*w**3 + k*w + c*w**2 + p and give l.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-105)\/(-14) - (8 + 0)). Which is smaller: t or 0.2359?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 24*v - 5*f - 13 = 0, -119 = 3*v - 5*f for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-35)\/(2695\/(-14))*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5436514*u**2 - 149954*u**2 - 74526*u**2.\nAnswer: 5212034*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:34 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 2*x - 2. Let v(o) = 1. Give u(z) - v(z).\nAnswer: 2*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -70. Suppose 2*v + 0*v - 4*s + 1619996 = w, 5*v - 4*s = -4049996. What is v rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 3*k + 2 = -13*p, -18 = 3*k. Which is the closest to 0? (a) p (b) 3 (c) 4 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.437*-172.29.\nAnswer: -75.29073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(63) - (sqrt(126)\/sqrt(2)*3 + sqrt(63)) - sqrt(252)\/(sqrt(4) - sqrt(16)))\/(sqrt(27)\/(sqrt(3) - (sqrt(3) + 2*sqrt(75))))) + 0.\nAnswer: -30 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = 3. Let s = 7 - o. Sort -1\/6, s, -0.4 in increasing order.\nAnswer: -0.4, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 24*u. Suppose 2*w = 5*t - 16, 10 = -t + 3*t - 2*w. Let o(p) be the first derivative of 14*p**t - p**3 - 14*p**2 - 6 - 6. Give o(a(m)).\nAnswer: -1728*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.269 - 0.031. Which is the nearest to 1\/4? (a) 1.8 (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 22\/3 (b) -0.4 (c) -1511\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 - 539\/4. Calculate the common denominator of l and 40\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/43 + 5\/344. Let z = -8660075\/17 - -508650. Let m = z + 766. What is the common denominator of o and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10 and -36\/5803?\nAnswer: 58030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251843466?\nAnswer: 2, 3, 7, 5996273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**8\/28 + 3*c**4\/4 + 7*c**2\/2 + 19. Let s(q) be the second derivative of a(q). Find the second derivative of s(w) wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 799, 801, 805, 811, 819?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - 3.6. Let m = d + 11. Which is the biggest value? (a) 5 (b) m (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y - 24. Let c(d) = -d - 4. Let b(t) = -30*c(t) + 5*s(t). Let v(n) = 19*n**2. Determine v(b(w)).\nAnswer: 475*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131830 is divided by 1449?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 1427*c + 2*c**2 - 1426*c - 13*c**3 as k + x*c**3 + f*c**2 + t*c and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 64 - 43 - n**2 + 13*n - 37. What is the tens digit of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 - 0) + (-2 - 7) + (43 - (1 + 36)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -5\/39, -10, 0.4?\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38313545 = 38313545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/7)\/w)\/w**(-6\/7)*(w\/(w**(-8\/3)*w))\/(w*w**3))**(1\/4) assuming w is positive.\nAnswer: w**(-19\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2011, 2008, 2005, 2002?\n\"Answer: -3*m + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20832 < -354128\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 46506 = -2*a, 5*a - 9285 = -2*u + 3*u. What is u rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020554 to five dps.\nAnswer: 0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1452 - -255?\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {a: 3, k: 16, u: 1}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) + 108\/11. What is the derivative of 5*j**3 - 10*j + 3 + w*j - 4*j**3 wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -536063 and -536068 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n - 32. Let f = 153 - 151. Let z be i(f). Solve 2*j - 2*b = 4, -z*b + 0*b = -5*j + 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235524.\nAnswer: 2, 3, 19, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4533 - -5131. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 3. Let m be l(-3). Suppose m = 2*v - x - 1938, 5*x - 6 = 2*x. Let b be (2 - (2 - v))*10. What is b rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/5 or -12.17?\nAnswer: -12.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*p - 2*p + 29, -5*m - 10 = 4*p. Suppose 0 = b - 2*w - m, -w - 5 = 4*b + 4*w. Let q = -0.8 + -0.2. What is the nearest to 0.1 in b, -3\/5, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3 = -2*y - 29, 0 = -3*m - 44*y - 147 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fddffdyffdyd.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229947 = -95*a + 39378. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 2, o: 2, i: 1, b: 2, j: 1}. Give prob of sequence joi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2344 + -524?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 7*t**5\/5 - 2*t**3\/3 + 57*t - 21. Differentiate u(g) wrt g.\nAnswer: 28*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let x = -61 - -64. Let a(k) be the first derivative of 1\/3*k**x - 3 + 0*k**2 + 0*k. What is a(u(w))?\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*v + 5*v. Suppose -4*g - v = -9*g. Solve 3*w = -g*c - 0*w, 2*c - 2*w = 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**2 + 15*o**2 + 13*o**2 + (108 + 10*o - 108)*(2 - o - 2) as g*o + r + b*o**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -47, 6, 29, 3 in increasing order.\nAnswer: -47, 3, 6, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9432\/14934)\/((-4)\/(-190))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2437\/6 + 406. Let s = -0.2 + 1.2. Is m at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Suppose -3*t - 4 = v - 2*v, b = 3*t - 3*v - 6. Let c(r) = 4*r**3 + 23*r - 4. Let g(i) = i**3 + 4*i. Let h(m) = -c(m) + 5*g(m). Determine h(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -18.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 16 - 8. Let c(w) = w**3 + 13*w**2 + 12*w + 12. What is the remainder when 22 is divided by c(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (94*r**2 + 262*r**2 + 1049*r**2)*(3*r**2 + 0*r**2 - 5*r**2) as c*r**2 + t*r + q*r**3 + i*r**4 + l and give i.\nAnswer: -2810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20656111037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/5 + 1403796*s**2 - 84227289*s\/5 - 91246272\/5 = 0 for s.\nAnswer: -1, 13, 2339648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22011221222220212 + -2?\nAnswer: -22011221222220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 0*v**3 - v**3)*(-11*v + 11*v - 10*v**2) - 18*v**5 + 43*v**5 - 634*v**5.\nAnswer: -589*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.405968 months?\nAnswer: 0.117164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 1145, 2566, 4555?\nAnswer: 7112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:06 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011101101 (base 2) to base 7.\nAnswer: 6443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((3630\/(-44))\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.7 (c) 0.4 (d) 21\/5 (e) 0.0784\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8\/(-16) - (-82)\/4 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1070190153 - -246.\nAnswer: 1070190399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 606 and 46290?\nAnswer: 4675290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:08 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5558926)\/(-71316)*((-926)\/460 + 2). Let u = 2\/45563 + j. What is the common denominator of u and 47\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = 3*s, 4*t - 9*t = 4*s - 4. Let p be ((-30)\/(-18))\/(s\/(-21))*-5. Let v = p - 45. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 2*l + 9, 5*l + 5*w = 40. Calculate the lowest common multiple of 2\/20*15 - (-7)\/2 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*x - 203*x + 12 = 0. Solve 0 = -x*f - 4*o + 8, 0 = -4*f - 6*o + 2*o + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5307.\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1053, -2795, -4539, -6285, -8033, -9783, -11535?\n\"Answer: -r**2 - 1739*r + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21*4\/(-24)*25782\/4297\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5\/k)\/k**(-2))\/(k**(-1\/4))**(-23) assuming k is positive.\nAnswer: k**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.4604 rounded to one dp?\nAnswer: 60.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3 + 2 - 25*u + 0 + 24*u. List the prime factors of m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 69, 0.1, -7, 0.18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31981 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 706983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/52080796 and -103\/678?\nAnswer: 156242388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -40. Suppose s*l + 72 = 180. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192441 is divided by 48107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 6 - (-52)\/32. Are x and 1\/137 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 5807 = 6023. Does -74 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29966 is divided by 993?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)\/(1\/(-4)). Suppose 3*k - u*k + 55 = 0. What is the highest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5393 in decreasing order.\nAnswer: 3, 2, -5393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 34 - 82. What is the remainder when v is divided by -1 + 0 - (0 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -29*r + 32*r, 2*r = -4*h + 20. Is -23 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5389, -4, -2.\nAnswer: -4, -2, 5389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 4 + 3 + 3*b**2 + (b - 3*b + 3*b)*(0 - 2*b + 0).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 648 (b) -0.1 (c) -0.319 (d) -0.3 (e) 5 (f) -0.298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-15))\/(15\/((-150)\/(-76)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1462459 by -1462459.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 - 2*n + 3. Suppose -2*j - 5*m = -0*j + 38, 54 = -4*j + m. Let g = 11 + j. Calculate the remainder when 24 is divided by r(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*l - 3, -6*l - 3 = -3*l. Suppose -6*j + 0*j + 30 = u. Suppose -s - j = -2*s. Solve t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99015?\nAnswer: 3, 5, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219230 is divided by 43842?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484076409.\nAnswer: 3, 491, 328633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -222*a - 90. Let m be i(-39). Suppose -m = g - 25*g. List the prime factors of g.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 7. Let o be b(4). Suppose 4*u = o*j - 22, -5*u + 11 = -5*j + 56. Solve 4*q + 4 = 2*w - j, -5*q - 18 = -w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412 - -413. Put 5, -8, n in increasing order.\nAnswer: -8, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-360)*(-320)\/(-384)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + 571*m - 580*m + 275 + 667.\nAnswer: -9*m + 1130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -3, 2, 4, 16 in increasing order.\nAnswer: -53, -3, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 4*q - 3. Let j be p(-5). Let n = -1 - -8. Let z(t) = -10*t + 1. Let w(f) be the first derivative of 3*f**2\/2 - 6. Determine j*z(r) + n*w(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 2. Let h = 18633109 - 18633119.000009. Let t = s + h. Round t to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30200, -60307, -90352, -120335?\nAnswer: -150256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, -0.15, 1\/22, 1?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4*o + 0*o)*(-32 - 30 + 25)*(-o - o**3 + o).\nAnswer: 37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0*w**3 + 2*w**2 + 0*w**4 + 0*w + 0 + 1\/30*w**5. Let o(p) = -p. Calculate o(i(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*t + 2*i - 14, -3*i - 14 = t. Let o be 30584\/(-900) - t\/9. Let w = -167\/5 - o. What is the common denominator of 17\/7 and w?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -59433323 and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + s**2 + s - 12. Let o be m(0). Suppose 3*q - 33 = -2*v, -2*v - 11 = -5*q - 4. What is the least common multiple of (-10)\/o + (-11)\/(-66) and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) - (90\/168)\/(-1). Let u = -3\/4 - -19\/20. Which is the third smallest value? (a) -0.7 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(171) + -4 + -2) + 6*(-5 + sqrt(171))*-2))**2.\nAnswer: -217728*sqrt(19) + 1393200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:21 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + p + p + (-2 + 2 - 5*p)*(6 + 0 - 7) + 11 - 11 + 14*p)*(2*p**2 - 7*p**2 + 4*p**2) to a*p**2 + h*p + n*p**3 + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/30 and -101\/746410.\nAnswer: 2239230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 5*z**4 - 2*z**4 + 14 - 6*z**4 - 14 + (z**3 + z**2 - z**2)*(-3*z + z + 3*z) - 4*z**2 + 4*z**2 - 3*z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w**2 + w. Let a(b) = -10*b**2. Determine x(a(t)).\nAnswer: 1700*t**4 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/15 - s**4\/6 + 7*s**2\/2 - 6*s. Let w(k) be the first derivative of d(k). Factor w(q).\nAnswer: 4*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 11*c - 5. Let k be s(-9). Suppose 0*w - k = -5*w - a, -4*w - 2*a = -14. Let b = w - 0. Solve u = b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 107, 291, 695, 1427, 2595, 4307, 6671, 9795?\n\"Answer: 18*y**3 + 2*y**2 + 52*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 - 6 = -p, 0 = -4*w + p - 3. Suppose 3 = -3*r, w = 3*v - 4*r - 12 - 4. Find i, given that i**3 + 0*i + 0 + 4\/5*i**v + 1\/5*i**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (600\/(-192)*4)\/(2\/4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, 1, 0.1, -5\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1442 + 4?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3, 10.4, 2 in descending order.\nAnswer: 10.4, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 2. Let p be m(3). Let u(f) = -f**2 + 3*f - 6. Determine u(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 13*a**2 + 7*a + 96. Give l(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1112.5 and -25181.\nAnswer: -28013862.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(3\/4)*q)\/q)\/q**(-37))\/(((q\/(q**(-24)*q)*q)\/q)\/(q*q**(-2\/35)*q)) assuming q is positive.\nAnswer: q**(2197\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 20*d**2 + 5*d - 30 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -30*d - 229. Give n(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 12*p + 52, 0 = 2244*y - 2239*y + p - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -60, -98, -174, -300, -488, -750, -1098?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10100912.\nAnswer: 2, 631307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2334 + 20566\/9. Let q = x - -2227\/45. Factor q*s**2 - 12\/5 - 3\/5*s**3 + 12\/5*s.\nAnswer: -3*(s - 2)*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 34 = 25, -4*z = -p - 15. Suppose -z*c - 8*c + 6655 = 0. What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c + 412. Let p = c - 66. Suppose -4*b + p = -1. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 166*v - 644. What is the remainder when 604 is divided by g(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 16420 = -23*y - 4*h, 3*y = 2*h + 12305. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -1 - 43. Let t = 20 + m. Let k(q) be the first derivative of -q**3\/3 + 5*q**2 - 11*q - 789. Calculate k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9583 - 3739 = -2*u, m - 33279 = -5*u. Is u 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 17173033?\nAnswer: 139, 123547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -9 + 0 + 171. What is the greatest common divisor of 8183 and w?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {e: 6, a: 1, v: 4, g: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 7*n**4\/12 - n**2\/2 - 4090*n. Determine r(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359956 greater than or equal to 7359956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = z - 3*a + 20, a = z + 15. Let g = z + 28. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 3444?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2583 = 39775*y - 79593*y + 39755*y for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 90, 184, 310, 462, 634, 820?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-324)\/(-48)))\/(24\/(-378)*-1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let m = -0.22 + 0.52. Put v, m, -0.5 in decreasing order.\nAnswer: m, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5575 = -q + 6*q. Let v = q + -10000\/9. Calculate the common denominator of 117\/10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/4 + 7*a**3\/4 + 3*a**2 = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2282217 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1503 + -1508. What is the nearest to 0.0046 in 4, 1\/5, 3, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1657 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321234 to the power of 1\/2, to the nearest integer?\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 2*c - t, 13*c - 11*c - 235 = -3*t. What is the remainder when c is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Let m = -3 - d. Let b = 17\/60 + -8\/15. Is m smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11767467?\nAnswer: 3, 23, 199, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45911.6793484 - 46034.6794. Let v = p - -123. What is v rounded to six dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*b - 26, 0*u - 5 = 5*u - 5*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -11. Let g = 48 - 28. Suppose -5*u - 5*m + 5 = 0, -4*m = -k*u + g - 0. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -5. Suppose f + 0*f = -k. Let s(q) = q + 1. Let j be s(-1). Sort 1, f, j in increasing order.\nAnswer: f, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 72*l + 205 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, -29, -171, -417, -791, -1317?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2382, 1320, 258, -804, -1866, -2928?\n\"Answer: -1062*y + 3444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, r: 17}. What is prob of sequence rrrl?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 563561 - 48?\nAnswer: 563513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 445*s**3 + 15*s**2 - 7*s + 26. Let g(a) = 2*a**2 - a + 3. Let t be g(3). Let w be q(t). Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q - 3. Let a be f(-3). Let x = -24 - a. Solve 0 = 4*i - i - x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - f - f - 2 + 2 + 2*f + 4*f + 3*f - 5*f + (0 - 4 + 3)*(f - 3*f + f) - 3*f + 4*f + f + 717*f + 479*f - 227*f.\nAnswer: 977*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 172 = s - 217, -5*o = 4*s - 974. Let h = o - 76. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8 and 1530\/396*(0 + 1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3447 to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1800788, 3601573, 5402358, 7203143?\nAnswer: 9003928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6536 by 1634.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(12*f + 81 - 131 - 13*f - 432).\nAnswer: -f - 482","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + 8*z + 61. Let b(u) = -6*u**2 - 12*u - 86. Calculate 7*b(t) + 11*y(t).\nAnswer: 2*t**2 + 4*t + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - m + m)*(4*m - 18 + 18) - 2 + m**4 + 2.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z)*(-8 - 7*z**3 + 8) + (-3*z**2 + 2*z**3 + 3*z**2)*(-z + 4 - 4).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-125))\/(5*3\/75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.5 (c) 2\/2773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**3 + 2*k**2. Suppose -5*p = -0*p + 25. Let m(l) = -8*l**3 - 3*l**2. Let n(a) = p*m(a) - 6*y(a). Find the third derivative of n(b) wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/91, 2\/11, 1\/11 in descending order.\nAnswer: 2\/11, 1\/11, 2\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -3*b**2 + 61*b + 105. Does 8 divide j(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1958*h**4 + 39*h - 1.\nAnswer: -23496*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0416 in -1, 0.565, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 221107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 1. Let b = n + -12. What are the prime factors of 13 + (b - (0 - 0))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 1 - w**2 - 2 + 2 to the form t*w**2 + y*w + v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426920.24 rounded to the nearest one thousand?\nAnswer: -1427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*n**4 - 12*n**3 - 55*n**4 + n - 57*n**4 + 5*n**2 - 8*n**3 - 64*n**4 in the form j*n**3 + p*n**4 + o*n + x*n**2 + t and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3068 and 35745684?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 6. Let w(x) be the first derivative of -5*x + 17. Let c(u) = u**2 - 12*u + 3. Let p be c(12). Calculate p*i(g) + 4*w(g).\nAnswer: -3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*k + 70682471*j**2 - 9*j*k + 14*j - 577*k - 5 wrt j?\nAnswer: -4*k + 141364942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*f**3 - 1432*f**2*l + 7185*l + 2 wrt f.\nAnswer: -246*f**2 - 2864*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and -180.\nAnswer: -10980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*u + 138, -u - c + 228 = 4*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l + 68*l - 2*b - 3978 = 0, -b = 2*l - 2659. What are the prime factors of l?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 4 - h**2 - 43 - 5 - h - 8*h**3. Let p(w) = -9*w**3 - w**2 - 6*w - 45. Let t(b) = 5*p(b) - 6*s(b). What is the first derivative of t(i) wrt i?\nAnswer: 9*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 3. Let f(r) = 9*r**2 - 3*r - 2. Let x be f(-1). Let z = 13 - x. Let o be 4 - 7\/z*3. What is t(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u = -59*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcnn when four letters picked without replacement from {c: 1, y: 4, n: 6, v: 3, i: 4, d: 2}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1253, 1254, 1255, 1256, 1257, 1258?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6290)\/(5 - 0))\/(14 + -16) is divided by 73?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 4*j**3 + 2*j**3)*(-3*j + 0*j + j) + (-2*j**2 + 31 - 31)*(2*j - 2*j - 2*j**2).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 28\/(-14)*344\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*o + 5*o - 4*o + 0*o as p*o + d and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -2\/7 (c) 3\/37 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 11138?\nAnswer: 22276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*r = 2, 7*r - 16 = 3*r. Suppose 2*n + 10 = -3*l, 0 = -3*l + 2*n + d - 4. Let q = -0.2 - -0.3. Which is the nearest to q? (a) 4 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 6. Let z(y) = y**2 + 4*y + 76. Let k(a) = a + 19. Let b(p) = -4*k(p) + z(p). Determine b(l(o)).\nAnswer: 4*o**4 + 24*o**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/((-8)\/544). Let j be ((-119)\/a)\/(14\/(-8)). Solve -o + j = 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -316448, -316459, -316474, -316493, -316516, -316543, -316574?\n\"Answer: -2*r**2 - 5*r - 316441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 36)\/(9\/(-6) - -2) - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30268*p**4 + 1642*p + 2 wrt p.\nAnswer: -363216*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 190 - l**2 + 314 in the form d*l**2 + h + b*l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w - 4 = 0. Let n(f) = -w - 5*f + 0 + 3. Let a(h) = 16*h - 3. Let s(q) = -11*q**2 - 39*q - 16. Let z be s(-3). Determine z*a(c) + 7*n(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 67 + (-1 - (2 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3053723346+0.76\nAnswer: 3053723346.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (150\/(-8))\/(4\/(-528)*3). Suppose -h + 6*h - p = 0. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -966 divided by -6\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/13, -1565, 1?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 6, 11, -0.4, 2.\nAnswer: -22, -0.4, 2, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 22 + 0*t**2 + 41 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38152 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -1\/3 (b) -0.03 (c) 0.2 (d) 0.275 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-2)*4\/10. Let v = 0 + -0.9. Let m = v - 0.1. Which is the nearest to 2? (a) -5 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 156*l**2 - 1591*l + 1504. Let o(x) = -2*x**3 - 156*x**2 + 1590*x - 1516. Let r(d) = 6*b(d) + 5*o(d). Factor r(s).\nAnswer: -4*(s - 19)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2) + 6 + -3. Suppose -3*v + z*v + 3 = 0. Solve v*c - 8 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/135)\/(2\/10). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 109*y**2 - 1424*y + 3002. Give x(-121).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-114)\/(-1) + (-3 + 7 - 1). Suppose -115*d + k*d - 26 = 0. Suppose -4*r + 6 + 80 = 2*y, 4*r = -12. Calculate the remainder when y is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 29*w**2 + 82*w - 21. Is z(-25) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -59, -65, -73, -83, -95, -109?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.021 - -26.021. Let t = 27.6 - 54.02. Let j = q + t. What is j rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j + 51. Let c(k) = k + 3. Let p(d) = 4*c(d) - u(d). Let y be p(2). Solve -y*b = b + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25375 or -25374?\nAnswer: -25375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -7*9\/(-49). Determine s, given that -2*s - 6\/7*s**2 + 6\/7*s**3 + k + 2\/7*s**4 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2526 is divided by 1927.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28406838 is divided by 13644?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12800 and 3000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.549157 + -170.557357. Let m = d - -170. Round m to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -156, 3*t + 1823 = 3*i - 1887 + 3485 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-336)\/10) - (-2)\/14.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26420*a**2*j + 28*a**2 - 21*a*j + 242914*a + j - 2 with respect to j.\nAnswer: 26420*a**2 - 21*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -21. Calculate the remainder when 16\/10 + -2 + 21476\/140 is divided by 25 + 4 + (-9)\/l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*h + 18*h + 13*h + 2 in the form k*h + c and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/416 and 103\/80.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:33 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 8*v - 7*v, 5*r + 2*v = 4. Let j(m) be the third derivative of 11*m**2 - 1\/18*m**4 + 0 + r*m - 1\/3*m**3 - 1\/270*m**5. Factor j(s).\nAnswer: -2*(s + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24338536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**2 + 4*f - 7. Let j be d(2). Let y(s) = s**2 + 37*s + j*s - 71*s + 14*s**2. Let x(q) = -4*q**2 - 2*q. What is -22*x(g) - 6*y(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqdhdn. What is prob of picking 2 h and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/14 + (-1)\/(-2). Let n(s) be the first derivative of 0*s + 2 + 1\/3*s**3 + i*s**2 + 1\/4*s**4. What is the third derivative of n(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*n = -475*n + 167*n. Let b(r) = 9*r**2 + 9*r + 3. Let c(y) = -5*y**2 - 5*y - 1. Let x(o) = -4*b(o) - 7*c(o). What is x(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 1\/8 (b) -5\/6 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {n: 3, g: 7, j: 2}.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10*b = 224. Solve -3*y - 2*f = 11, 12*y = b*y - f + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l + l)*(2 + 0 + l - 5) + (5*l - l + 3*l)*(50*l - 6*l + 16*l) to the form n*l**2 + w + j*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1562\/13 + -120. What is the closest to -2\/5 in n, 54, -0.4, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -6*m**3 - 17*m**2\/2 + 12. Find the second derivative of u(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36441, -74135, -111829?\n\"Answer: -37694*v + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z - 3 + 3. Let c(m) = -6*m**3 - 2*m**2 - 2*m. What is c(p) - 4*o(p)?\nAnswer: -2*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 + 4*x. Let l be u(6). Let t be ((-4)\/14)\/(l\/(-21)). Factor 1\/4*s**5 + 0 + t*s**4 + 0*s**3 + 0*s**2 + 0*s.\nAnswer: s**4*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367*f + 2*f**3 - 18*f**3 - 36255 + 36253 wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -4) + 4 + 3 + (-5 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlmm when four letters picked without replacement from {l: 4, m: 10}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/22*682\/(-1054)*17\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1363969 and 2852?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36545232 + 36545230.4202531. Let g = 8.5205341 - h. Let w = 10.1 - g. What is w rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*j**3 - 2057*j**2 + 49008*j + 165888.\nAnswer: (j - 128)*(j + 3)*(13*j - 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 0. Let v = c - 44. Let u = -6 - -6.3. What is the third biggest value in u, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1192*t + 11. Let y(b) = -475*b + 5. Let z(h) = -2*f(h) + 5*y(h). Give z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 49*y**6\/120 + 6*y**5\/5 + 13*y**2 + 3. What is the third derivative of l(m) wrt m?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-35))\/((-8)\/10*1\/(-116))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24 + 3*c - 5 + 14*c. List the prime factors of r(7).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 33.00065. Round x to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 240*w**2 + 748*w - 15624.\nAnswer: -4*(w - 62)*(w - 7)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 688*f + 2028.\nAnswer: 4*(f + 3)*(f + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*6\/504 - (-166080)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 43. 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: What is the closest to -8 in 3, 1, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2375 + 1069. Calculate the highest common factor of g and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/2527 + 3085459\/5054. Let z = -561 + x. Let r = -89\/126 - -314\/63. Find the common denominator of z and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 382808*c**2 + 9159255600*c - 18316980000.\nAnswer: 4*(c - 47850)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121403 is divided by 408.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42023.\nAnswer: 42023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/19 + -1)*(-473)\/473?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnnknnknn.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.5. Let s = 879\/3484 + -2\/871. What is the nearest to -0.1 in 2, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-40)*(-172)\/9 and -76\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.32353923 rounded to two dps?\nAnswer: 108.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 162, 220, 278, 336?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35531 + 172*k - 35531)*(2*k - 2*k + 2*k**2) to the form s + v*k**3 + p*k**2 + u*k and give v.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011011010 + 1?\nAnswer: -1011011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 36 + 200 = 0. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 4*y, -23*y + 22*y = -5*l - 16. What is the units digit of (-26)\/l*(145 - 69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 1)\/(-1*(-2)\/4). Let i(f) = 2*f - 34. Let p(r) = r - 11. Let o(s) = -2*i(s) + 7*p(s). Calculate the least common multiple of o(m) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.6 + -54. Let g = d - 11.52. Sort -5, 3, 4, g.\nAnswer: -5, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 12*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2778 - 2776. Suppose -4*k = 4*i - 32, k + 2*k - 3*i = 54. Let q(g) = -g**2 + 13*g + 6. Let m be q(k). Solve -3*h - 12 = 4*z, z + m = -s*h + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g - g + 6*g)*(g + 4 - 4 + (-3*g + g - 5*g)*(2 + 0 - 3) - 5*g + 0*g + 3*g) to the form c + b*g**2 + o*g and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74736774.\nAnswer: 2, 3, 7, 593149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktdlktkldkkltdpk. What is prob of sequence tlp?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 13 + 3 = 0. Solve 4*h + 7 - 2 = 5*n, 5 = 5*n + d*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 952 = 23*c. Calculate the remainder when 127 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44381 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f - 12 = -33*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 l when four letters picked without replacement from vclocovooovllvvhccl.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39343129?\nAnswer: 7, 19, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049576035 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - 1. Let y be g(1). Let i be 1\/4*4 - -2. Suppose y*v = 15, i*l + 3*v - 27 = 33. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s - 42. Let h be f(4). Find the second derivative of 3757*b**2 + 9*b - 3757*b**h - 63*b**4 wrt b.\nAnswer: -756*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 69 - s + 68 - 205 + 68. Let d(t) = 5*t + 3. What is d(x) + 4*v(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 20*g + 200. Let c be r(6). Suppose 3*a - c = -5*s + 488, 5*s - 800 = 5*a. What is the remainder when s is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70768.15cm to micrometers.\nAnswer: 707681500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, 1 q, and 1 k when four letters picked without replacement from {k: 5, q: 2, b: 2, p: 2, o: 1, h: 2}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7613 + 7627. Solve -9*n - 5*q - 5 = -g*n, 5*q + 9 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 3. Let d(x) be the first derivative of x**6\/45 - 37*x**3\/3 - x + 154. Let c(f) be the third derivative of d(f). Determine c(t(u)).\nAnswer: 128*u**4 - 192*u**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100212002 (base 3) to base 7.\nAnswer: 26642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -1.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 + -1.7. Let l = s + 3.8. Let t = 206 + -206.3. Which is the closest to l? (a) t (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 145\/(-87)*(-3)\/1. Solve 3*j - 3 = -2*s + 2, 0 = 5*s + d*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 2*i**2)*(-i + 2*i - 4*i)*(1 + 6 - 1).\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgq when three letters picked without replacement from qfrqgffuqfu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2, 30162542?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 503, -994, 127.\nAnswer: -994, 127, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*l**3 + 24*l**3 + 2 + 73*l**3.\nAnswer: 149*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(7 + (-60)\/9). Let x be f + (-2 - -2) + -1*2. Suppose -4*a - 36 = -4*m + a, x = -m - 4*a - 12. What is the remainder when 8 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.08 (b) 33 (c) 36.19 (d) 1\/4 (e) -2\/13 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4325984.\nAnswer: 2, 13, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 856020*k + 856023*k - 3 = 0, 5*f + 7*k = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659780 is divided by 731954?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3\/16 (c) 0.013 (d) 2 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 79 = 11. Let o = 7 + 0. Suppose 3*g + x*a + 124 = o*g, -a + 4 = 0. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -3.1. Let t = -1 + 1.2. Is t > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -4 - 4) + -2 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 3, t: 4, i: 2, n: 2}. What is prob of picking 1 f, 1 t, and 2 w?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**6\/7 + 3*z**5\/7 - 10*z**3\/7 - 15*z**2\/7 - 9*z\/7 + 726. Factor f(j).\nAnswer: 3*(j + 1)**4*(2*j - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (251\/3)\/(-2*(-1)\/(-24)). Let v be -1000*12\/5*(h - -4). What is v rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 - (0 - (-12 + (5 + -1 - -1)))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202264?\nAnswer: 2, 131, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(2\/13)*(u**10*u)\/u assuming u is positive.\nAnswer: u**(141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:03 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -1.4. Suppose -6*h + 2*h = -v + 21, 5*h = 3*v - 28. Which is the closest to v? (a) m (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18766 is divided by 18587.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -4 (c) -270 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -51, -80?\n\"Answer: -29*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 - 365808*h**3 - 15725982*h**2 - 217586808*h - 951131079 = 0.\nAnswer: -121893, -17, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2994, 3065, 3174, 3315, 3482, 3669?\n\"Answer: -q**3 + 25*q**2 + 3*q + 2967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:35 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25778353 to the nearest integer?\nAnswer: 5077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 19*t + 73*t**2 - 30*t**2 - 5*t.\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 607301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 10*y**2 - 8*y + 13. Let g be p(-9). Which is smaller: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6783055+32643\nAnswer: 6815698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*((m**(-3\/2)*m)\/m)\/m))\/m**(-1\/5))\/(m**(-10)\/(m**8*m*m)))**(2\/41) assuming m is positive.\nAnswer: m**(227\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287448*k**5 + 2*k**4 + 13*k**2 - 293*k - 3.\nAnswer: -17246880*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -95. Suppose -15*s + 13*s = -r. Calculate the least common multiple of s and 49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4 - 4)*(19*o - 5 + 8 - 4*o)*(4*o - o - o + (2 - 2*o - 2)*(-2 + 4 + 1)).\nAnswer: 60*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:27 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + (-6)\/(-27) + (2\/5)\/(2862\/34185).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1502815, 3005631, 4508447, 6011263?\nAnswer: 7514079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227691 is divided by 4946.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**3 + 4*b**2 - 5*b. Let m(s) = -11*s**3 - 5*s**2 + 6*s. Let k(t) = -6*l(t) - 5*m(t). What is the third derivative of k(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 11:16 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2043*c*w**5 - 4*c*w**2 + 39*c*w + 9*c - 10*w - 1 wrt w.\nAnswer: 40860*c*w**3 - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/8 + 3341*f**3\/4 + 4179*f**2 + 10035*f\/4 - 60183\/8 = 0.\nAnswer: -3, 1, 6687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:38 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*z = 12722 + 15089. Solve 4*b - 17 = 5*l, 2*b = -201*l + z*l + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -222 - 93. Let w(d) be the third derivative of -h*d**2 - d**3 + 1\/24*d**4 + 0*d + 0. Differentiate w(u) with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**5 + 0*w**6 - 1\/2*w**7 - 8*w + 0 + 0*w**2 + 0*w**4 + 31\/6*w**3. What is the second derivative of n(y) wrt y?\nAnswer: -420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**5\/45 - 5*i**4\/3 - 14*i**3\/27 + 24*i**2 - 40*i - 4141. Find h, given that c(h) = 0.\nAnswer: -3, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/13734 and -35\/981?\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -5 (c) 2 (d) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - 168. What is the smallest common multiple of y and 11\/((-66)\/45)*(-42)\/5?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 362676 or 4714782\/13?\nAnswer: 362676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*c - 18 = 0, -2*o + 3*c - 13 + 5 = 0. Solve 4*u - o*u + 5 = -3*d, -3*u = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*a - 133 = 0, -a + 0 = 5. Let g = -82 + p. Is g at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*x - 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5)\/2 + 3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + f + 4*f + (-2 + 1 + 2)*(2*f + 5*f - 5*f) - f - 2 + 2 - 2*f + f + 3*f as m*f + v and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578 - 358. Let y = -218 + f. Solve y*a + 12 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -8 + 2, 4*t - 18 = 3*c. Suppose d - 5 = -t. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.08 + -0.51. Let b = -0.1239 - 5.4461. Let s = b + o. What is the nearest to 0 in 0.3, 2\/13, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1352844*m**2 - 4058476*m + 168 = 0. Calculate m.\nAnswer: -3, 14\/338211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4 - 4*h + 2*h**3 - 3*h**3 + 3*h - h**2. What is the remainder when d(-3) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/20*20\/(-6). Let k = 16 - 10. Let d be (-2)\/(-4) - 15\/k. Sort a, 5, d.\nAnswer: a, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*w + 76801 = 442*w + 731*w + 417 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -278, -530, -770, -992, -1190?\n\"Answer: l**3 - 259*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 30. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280653, 280650, 280647, 280644, 280641, 280638?\nAnswer: 280635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1335, -2657, -3965, -5253, -6515, -7745?\nAnswer: -8937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*-1.8.\nAnswer: -0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -333898173 divided by 7803\nAnswer: -42791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 3*p**4 - 3*p**4)*(15*p + 18*p - 9*p).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 4:31 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 18*n + 3. Suppose -5*s - 43 = l, -s - 242 + 291 = -3*l. What is z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15392 = 4*q, -5*j + 4*q = 6*q + 38496. What is j rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*c + 7, -5*c + 7 - 2 = 5*n. Suppose 0 = 4*x - 4*g, 3*x = 2*x - c*g + 15. Let p = -2134 + 2136. Solve f - x = p*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 9698526*l**2 + 19397049*l\/2.\nAnswer: 3*l*(l - 6465683)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/11)*w*w\/(w\/((w*w\/((w*w**(-5\/4)*w)\/w))\/w)))\/(w\/w**7)**33 assuming w is positive.\nAnswer: w**(8847\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 6*z**2 + 5*z - 2*z. Let d be c(-1). Let r = 22 - d. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.149 - 0.1489967. What is d rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 18*u - 60. What is l(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 2.24?\nAnswer: -19.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + q + 2)*(0*q + 0*q + 4*q**2) + (5*q - 3*q + q)*(-323 + 323 - 205*q**2) to h + s*q**3 + m*q + c*q**2 and give s.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69963 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i = 142*i - 424. Solve 3*b + 43 = -i*y + 27, y = -2*b - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.096836us to days.\nAnswer: 0.00000000171408375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -269993? (a) 3 (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243 - 239. Suppose 2*j + j = -5*x + 17, 0 = -x + l. Is -2\/101 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 29*h**2 - 122*h + 75. Calculate b(24).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*s + 170*s - 244*s in the form u + d*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*b**2*g*p**2 + 264*b**2*g + 22*b*g - 2*b*p**2 - 1076*p**2 wrt b.\nAnswer: -718*g*p**2 + 528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6955.45 litres to millilitres.\nAnswer: 6955450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*z + 1 + (1 - 3 + 0)*(-1 - 2*z + 1) - 170 + 22*z - 322 - 21*z to x*z + u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*a + 15. Let r(j) = -j + 1. Suppose 4*l - 19 = -15. Calculate the least common multiple of l and r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71448 and 8522464.\nAnswer: 332376096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -15*c**4\/4 + c**3\/3 + c**2 + c - 168. Give q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15769 + 23383 = 162*l for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8272829 - 2233667209\/270. Let p be -2 + (-3)\/((-60)\/314). Let b = l + p. What is the common denominator of 121\/12 and b?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4079695 to the power of 1\/2, to the nearest integer?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 + (-39)\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2376?\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 347 + -2433\/7. Let f be (4\/7 + -60*(-196)\/(-8575))\/(-2). Which is the nearest to 2? (a) 1\/27 (b) f (c) 2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 65204383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r**2. Suppose -15*l = -6*l - 36. Let p(n) = 39 - 24 - 15 - l*n. Determine h(p(d)).\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b. Suppose 0 = h - 2*h + 5*u - 8, -h - 4*u = -10. Let t(i) = -3*i**2 + 3*i**2 - 3*i**2 + 2*i**h. Calculate t(r(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108743 or 5110876\/47?\nAnswer: 5110876\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -12, 118 in decreasing order.\nAnswer: 118, 9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h + 3. Let r = h + -13. Let y be (0 - 105\/r)*4. Calculate the greatest common divisor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32\/2261 or -1?\nAnswer: 32\/2261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7295.\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1491 or 16676?\nAnswer: -1491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**2 - 37*p + 176. Let t(j) = -4*j**2 + 22*j - 87. Give 3*k(y) + 5*t(y).\nAnswer: 4*y**2 - y + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 390753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11398100 divided by -3325\nAnswer: 3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.263*-1.561\nAnswer: -0.410543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 393*l + 3145. Determine v(8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 26 = -6*o. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 + -1.3. Let f = u + 2. Put -2\/5, f, 0.1 in decreasing order.\nAnswer: 0.1, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.20759 and -83.\nAnswer: -83.20759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.04 + -0.36. What is the fourth smallest value in -0.3, 0.5, j, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-5))\/(270\/300). Suppose c = -4 - 1. Let z = 0.3 + -0.5. What is the smallest value in z, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 + -228528278?\nAnswer: -228527011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -5*m - 56. Let l(f) = 222*f + 13 - m + 227*f + 6. Is l(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3075667617 + 5?\nAnswer: 3075667624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -30, -3, 3, -2, -2267 in descending order.\nAnswer: 5, 3, 2, -2, -3, -30, -2267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:49 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21503841.4573 minus -1?\nAnswer: -21503840.4573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeofybv. What is prob of picking 1 e, 1 f, 1 v, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*o - 15*o - 11*o)*(-14*o**3 + 63*o**3 - 87*o**3 - 8*o**2) to the form a*o**4 + h*o**3 + v*o + b*o**2 + f and give a.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376\/439481 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -12. Let v(k) = -k**2 - 7*k + 3. Let a be v(j). Suppose -1\/3*h**2 + 0*h**a + 0*h + 1\/3*h**4 + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/8 of a day?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.86 + 12.7. Let x = 3.56 - h. What is the fourth smallest value in 0.4, x, -1\/2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 51.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 84, 129, 176, 225, 276?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 113 + 28)*(-4*p + 5*p - 3*p).\nAnswer: -286*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17626 or -17625?\nAnswer: -17625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 4*d. Let s be z(-4). Let c be (-44)\/s - 2\/8. Let n(f) = -172*f - 13. Is n(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g + 2. Let m(i) = i**2. Let a = -11 - -9. Let t be m(a). Suppose 5*x = 6 + t. Calculate v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5743724 + -5?\nAnswer: 5743717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 22) + 13 + (11 - 16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11842449 divided by -5361\nAnswer: -2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 5\/2*d**2 + 24 - 4*d. Let s(n) = -2*n. Give s(z(q)).\nAnswer: -10*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017152041 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 48*i - 20. Let z be r(-24). Round z to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -6?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11351 - -130030?\nAnswer: 141421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2439560, 9758257, 21956094, 39033077, 60989212?\n\"Answer: c**3 + 2439564*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 34456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4 - 20. Let j be 1 - p*(1 - 0). Suppose 3*t - 21 = -2*k, -2*k - 15 = -j*k + t. What is the highest common divisor of 54 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3213120 (base 4) to base 5\nAnswer: 433213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 627 + -624. Let m(x) = -70*x**3 - 5*x**2 + 204*x**3 - 65*x**u - 3*x - 70*x**3. Calculate m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((-3)\/(-203))*(-23)\/(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*l - 201*l**2 - 8*l + 75*l**2 to the form s + b*l**2 + c*l and give b.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -204\/5?\nAnswer: -204\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*r**4 + 106111*r - 42007580 wrt r?\nAnswer: 132*r**3 + 106111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27552 and 2730.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h - 3. Let o be y(-5). Let k = o + -34. What is the second derivative of a**5 - 5*a**5 - 4*a - k*a - 9*a**5 wrt a?\nAnswer: -260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-63))\/(((-143)\/77)\/(-13)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54836*b*u**2 + u**2 + 12*u - 156 with respect to b.\nAnswer: -54836*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = -7. Suppose 3*w = a - 12, -w - x*a = -16 + 4. Calculate the remainder when 5 is divided by 4\/3*w\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*k + 43. Suppose 6*i - i - 36 = -4*n, 0 = -5*i + n + k. Suppose x + 231 = i*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-1\/17)*v\/(v*v\/((v*v\/(v\/(v**(17\/6)*v)))\/v)) assuming v is positive.\nAnswer: v**(487\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i**2 - 8. What is the units digit of k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 4, -2, 0 in descending order.\nAnswer: 21, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 69*c - 66*c = 4272, 3*r = c + 2552. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1221.09 to the nearest ten.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:22 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 924 and 252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579058 is divided by 1117?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5281 in 2, 1\/3, 13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + ((sqrt(1053) + -1)*4 + sqrt(1053) + sqrt(1053)*3 + -5)**2)*2.\nAnswer: -2592*sqrt(13) + 134934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g**3\/3 - 11398*g**2\/3 + 29123*g\/3 - 5916 = 0. What is g?\nAnswer: 1, 36\/23, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.48 - -0.18. Let k = 268 - 266.6. Let w = k + y. Which is the second smallest value? (a) -4\/3 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994445?\nAnswer: 5, 59, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 11048 = -2*n, 0 = -3*n + 15. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.536748 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 61 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 155.9283 decades?\nAnswer: 1559.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 11*w**2\/2 + 57*w + 188. Let h be p(-5). Suppose -15 = -3*c, -4*f + 2*f + 2*c = 10. Solve -h*t + 10 + 0 = f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/4260531 and 57\/110.\nAnswer: 42605310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -364\/5 - -74. Find k, given that 9\/5 + 1\/5*k**2 + j*k = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = u - 6, 4*s + u - 3 = 7. Calculate the remainder when 3\/(-9)*6*-3 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -85. What is the nearest to r in -3\/8, -5, -1\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14150 and -6.5.\nAnswer: -91975","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195*i**2 + 2*i + 96*i**2 + 2*i + 93*i**2 to m*i**2 + k*i + y and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 2215*t**2 + 46478*t\/3 + 26552.\nAnswer: (t + 3)*(t + 4)*(t + 6638)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21074 is divided by 465.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 16. Suppose -9*i = -4*k - w*i + 135, 5*k = -2*i + 144. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from qremqqremqpe?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668 + 1329 = -49*u + 160*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -817*a*r**2 + 9*a*r + 11*r wrt r?\nAnswer: -1634*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -25. Suppose 3*x + v = 4*y, 0 = 5*y - x - 2*x - 15. Suppose y*b = -b + 3*n + 229, -4*b = -2*n - 896. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13006911 less than -0.4?\nAnswer: -13006911.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21.7, 1\/7, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 20. Let d(s) = -s - 2. Let f(l) = 2*l + 5. Give i*d(u) + 2*f(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1, 6 in increasing order.\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k, 10 = 3*j - 2*k - 0*k. Suppose -j*a = -3*z + 47, z + 0*z - 3*a = 19. Suppose z + 17 = 6*l. Solve 3*o + 3 = l*w + 13, 2*o + w = 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 79 = 5*w, 5*w - 71 = -c. Let k = w + -9. Let q(s) = 3*s - 7. Is q(k) 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 70014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - -1.7. What is the second biggest value in 2\/5, 1\/8, w, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 5601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*f + 488*f - 90 - 973*f in the form t*f + r and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4195 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -1 - (-1 - 1). Let u = 7 - m. Suppose 0 = -u*k + 7*k. Solve 8 = r + b, k = -r + 3*b + 2*b - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2 - 74\/(-4). Let p = b + -14. Let w(y) = 6*y - 3. Is w(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 - 11\/220*-1216555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 129. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*v + 228 = 297*v. Suppose -v*f = -237*f. Let y be (-4)\/6*9*-1. Solve f*i + y = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4 - 2 - 6*u + 0 + 8*u - 4*u. Let s(l) = 10*l**2. Determine s(m(b)).\nAnswer: 40*b**2 - 80*b + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*n - 17. Let m be (3\/9)\/((-5)\/15). Let x = m - n. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 20*f - 17*f + 2, 28 = -5*o + 4*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*r - 65*r + 140*r. Suppose -a = -h + 2141, r = h + h - a - 4281. What is h rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 0*h**2 + 5*h**2 - 6*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:09 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38613 is divided by 3349.\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 + 188 + 464)*(2*a + a - a) in the form l*a + q and give l.\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281402, 10, 1\/3 in decreasing order.\nAnswer: 10, 1\/3, -281402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18382 + -18374. Solve -3*m + 8 = 4*r, -m + 3*r + 2 = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:55 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/(-20)*(-12)\/128*34 - 5 and 119\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 747 = -162. Is r a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/4))**(-3) assuming j is positive.\nAnswer: j**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 24129 - 24129 + 13*j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -89*v**3 - 6 + 18*v**2 + 54*v + 46*v**3 + 44*v**3. What is the remainder when p(-5) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 29*w + 160. What is the lowest common multiple of p(6) and 8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, -9\/5 in decreasing order.\nAnswer: 1, -9\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19208*x**3 + 620630864*x**2 - 37997754*x + 581598.\nAnswer: -2*(x - 32311)*(98*x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1718 - -23.473602\nAnswer: -1694.526398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 434*m**3 - 252*m - 497. Calculate p(-2).\nAnswer: -3465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17003 = 5*b + 2*v, 0 = -2*v + 5*v + 3. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = -14910*r + 14912*r, f - 5*r = -17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/16)\/(-1*9\/(-492)). Which is smaller: 104 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5781*r - 104964 wrt r?\nAnswer: 5781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17527 - 17527 - 454*j)*(-1 + 4 + 0).\nAnswer: -1362*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*c + 45, b + 5*c - 39 = -2*b. Suppose 3*g + 6 = 3*x, 4*x + 3*g - b = 4. Suppose -x*v + 22 + 6 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 413790982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m - 3*m + 3*m)*(-3 + 1 + 1) - m - m + 0*m)*(-1 + 3 - 4 + 4 + 2 - 4 - 5 + 3 + 0 + 4 - 3 - 3 + 1 - 2 + 3 + (2 + 1 - 5)*(2 - 3 - 1)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -80, 51, 3, -28, 10 in ascending order.\nAnswer: -80, -28, 1, 3, 10, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*j - 27 = 0, -j - 15 = -7*i + 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2 + 2 + (-2*z - 5*z + 5*z)*(-2*z - 2*z + 0*z + (7*z - 9*z + 12*z)*(-3 + 5 + 0)) + (4 + z - 4)*(2*z - 5*z + 2*z) - 2*z**2 - z + z.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.5 - 0.26. Let a = -7.73 + f. Round a to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.33 times -0.052\nAnswer: 0.38116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/3, -0.3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19402 + 4.19402. Let x = 0.2 + -1.2. What is the second biggest value in x, 3, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4\/(-18)*-183 - (-12)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.3 (b) 8 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 19. Let i be t(9). Let h(m) = 7492*m**2 + 9*m - 8. Is h(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.42188 - -226.18888. Let q = -225 + g. Which is smaller: 1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2622 (base 9) in base 8?\nAnswer: -3654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 0*v = -20*v + 189. Let t = 4 - -2. Let y = 3 - t. Sort y, -0.5, v in descending order.\nAnswer: v, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9288\/(-162) - -1) + 47\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 406*q**3.\nAnswer: -406*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.405? (a) 4 (b) 3\/11 (c) -2\/3 (d) 2 (e) 27\/2 (f) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*y - 44 + 104 - 41 with respect to y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218 - ((-6)\/4 + 10\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + 39497609214?\nAnswer: 39497609213.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3900982837 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 70874*t**2\/5 + 283336*t.\nAnswer: 2*t*(t - 35417)*(t - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*f - 2*f, -3*u = 2*f - 1. Solve 2*g + 5 = -u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 22*y - 260. What is c(29)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001850394832 to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3 - 7\/80*q**5 - 1\/24*q**4 + 7\/24*q**3 + 1\/4*q**2 + q. What is a in o(a) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 - 694*n**4 - 12196*n**3 - 65304*n**2 - 79056*n + 157248 = 0. What is n?\nAnswer: -6, 1, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 23 = m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 14*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 300, 668, 1174, 1812, 2576, 3460, 4458?\n\"Answer: -u**3 + 78*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*k + 100. Let r = 50 + k. Let g(y) = -r*y + 21*y - 14*y. Let n(s) = 2*s**2. Determine n(g(h)).\nAnswer: 98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5488*s - 188590 - 201058 = 0 for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8219 + 8239. Solve -16*w + 4 = 3*s - y*w, 4*w = s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1842*x**2 - 38*x**3 + 1842*x**2)*(-2 + 0 - 1)*(-4*x + 3*x - 2 + 2*x) + 4 + x**4 - 4 to the form u*x**3 + v*x**4 + r + j*x + s*x**2 and give v.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1074 + -4.\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + i = -i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.888 times 25?\nAnswer: 72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69381\/2177 + 4\/311. Let a = 2006\/63 + q. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9681990 is divided by 172.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 93\/4 + (-6060)\/(-7440) + (-10)\/155\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/2*(-2)\/(-364)*2. Is t at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(72)*-5)\/(sqrt(72)*-1*-5).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvv when four letters picked without replacement from {c: 2, v: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12935? (a) 5 (b) -1\/2 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40320323?\nAnswer: 40320323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/20 - f**4\/12 - f**3\/6 - f**2\/2 - f. Give y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 55722810*j + 55722815.\nAnswer: -5*(j - 11144563)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4474272 divided by -57\nAnswer: -78496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6)*w)**8 assuming w is positive.\nAnswer: w**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1356 and 11791884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-100))\/((-2034)\/25425)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2, -5*q - 51*d = -47*d + 163. Put 3, -25, q in increasing order.\nAnswer: q, -25, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012203 (base 5) in base 13?\nAnswer: 11853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3. Let v be w(4). Suppose -c = 6 - v. Suppose 11 + c = 4*b. Which is bigger: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**8\/5040 + c**7\/2520 + c**6\/1080 - c**5\/360 + 14*c**3\/3 - 13. Let r(n) be the third derivative of g(n). Factor r(z).\nAnswer: -z*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139646nm in millimeters?\nAnswer: 0.000000139646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3526086 (base 9) to base 12\nAnswer: -77b806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.9434393 and -2?\nAnswer: 11.9434393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35367751, -35367752, -35367753, -35367754, -35367755, -35367756?\nAnswer: -35367757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 182 - -1 - 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6245599 and -1204829?\nAnswer: 5040770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374989.\nAnswer: 374989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 4 (c) 9\/7 (d) 0.1 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7190287?\nAnswer: 13, 553099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g - 77. Give k(5).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -3)*-1 + -103. Let y = -101 - v. Suppose y*f + 12 = r, -r = 5*f - 10 - 11. Calculate the least common multiple of r and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(1\/6))\/f)**(-24))**(-40)\/(f**(-3)*f*f**3)**(-4\/13) assuming f is positive.\nAnswer: f**(14564\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -3 - (-4 + 0). Suppose -8 = u*c - 32. Suppose -g = -c*g + 45. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23042.9 * -20.6.\nAnswer: 474683.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 - o + 4. Let g(z) = -23*z**2 - 2*z + 11. Let p(d) = 6*g(d) - 17*k(d). Let b be p(3). Let s be (-4 - 1)\/(b\/10). Solve 0 = 7*j - 2*j - s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-60)*86 + -3. Which is the second biggest value? (a) 16 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13647*u - 5893.\nAnswer: -13647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3\/3 + 305*h**2 + 14105*h + 41405\/3 = 0. Calculate h.\nAnswer: -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -92, 3, -881, -4 in descending order.\nAnswer: 3, 0, -2, -4, -92, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccucuc. What is prob of picking 4 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + -2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, c: 2}. Give prob of picking 1 o, 1 c, and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128\/51 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 10*a**2 - 2*a + 6. Is y(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4919655 to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 540707376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.4*-1.34\nAnswer: 4.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t. Let v(h) = -2*h**2 + 2*h + 1260. Calculate v(d(i)).\nAnswer: -32*i**2 - 8*i + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*a - 27 - 283*a + 14 - a**2 - 154*a.\nAnswer: -a**2 - 433*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 3*v**2 + 6*v + 9. Let a be c(-4). What is the common denominator of (a\/(-3))\/((-20)\/372*2) and 79\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0 + 0*n + 1\/24*n**4 + 0*n**3 - n**2. Let h(o) = 4*o. Determine f(h(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -13 (b) 55.2 (c) -4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-12) - (-2)\/4. Sort -6, f, -5 in descending order.\nAnswer: f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1402 divide 1766520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -2.98?\nAnswer: 23.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**2\/5 + 15399783*c\/5 - 3079956 = 0.\nAnswer: 1, 5133260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 7*z + 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -y + 4*h, 17*h + 284 = y + 15*h. What is the lowest common multiple of 240 and y?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 + 0*c**2)*(16*c + 356 - 356) + 0*c**3 + c**3 + 0*c**3 + 9*c**3 - 7*c**2 + 7*c**2.\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = z - 0*z - 4, -3*q + z = -16. Suppose 0*b = -q*b. Let i = 9\/7 - 20\/21. Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 495 = -2*y + 2*b, -3*b + 255 = -y. Which is smaller: y or -257?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8.93, -1\/2, -41\/3, 0.3, -1, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13120 (base 5) to base 11\nAnswer: -861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3836806, 7673593, 11510380?\n\"Answer: 3836787*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 25 = 5*f. Suppose b + 7 = f. Let q(k) = k**2 + 5*k + 5. What is q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(-1\/19) assuming y is positive.\nAnswer: y**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Factor 11*m + 6*m**2 - 4*m**j + m**3 - 14*m.\nAnswer: -3*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3644.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114556, 459226, 1033682, 1837930, 2871976, 4135826, 5629486, 7352962?\nAnswer: 9306260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254612.\nAnswer: 2, 53, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10327471 and 38962?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*z - 4*a, -10 = -2*z - 13*a + 8*a. What is the nearest to -1 in -1\/2, z, -13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110133 (base 4) to base 10\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**9\/24 - 4*d**7\/105 + 71*d**5\/4 - 914*d**2 - 1. What is the third derivative of l(x) wrt x?\nAnswer: -2520*x**3 - 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 - 7*q**3 + 8*q**3 + 0*q**3.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 5*i**2 - i - 4. Let m be j(3). Suppose 0 = -5*x + m - 17. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3919.86 minutes to microseconds.\nAnswer: 235191600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.6148 - -33.094862. Let y = -0.48 + i. What is y rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -538?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 41*n - 22. Suppose 0 = -w - 3*k + 5, 0 = -0*w - 2*w - 4*k + 20. What is the tens digit of f(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let n(q) = 2*q**3 + 8*q**2 - 6*q - 32. Let i(j) = 2*k(j) - n(j). Solve i(c) = 0 for c.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 3, e: 3, p: 9, u: 2, x: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 5*j - 1. Let m be a(3). Let o(q) = q**2 + 8*q - 2. Let f be o(8). Calculate the common denominator of (-2)\/m - 29\/f and 11\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1429?\nAnswer: 2\/1429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -5 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 198 = -3*t + 2*w, 4*t - 269 = -w. Suppose h - t = 5. Suppose -o + 9 = -0*o. Calculate the greatest common divisor of o and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71838\/11 - -6546. Does 16 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*v - 71 = -26*y + 13*v - 22*v, 0 = 5*y - v - 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -27.08. Which is the third smallest value? (a) p (b) 1\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -111.\nAnswer: -22\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 136 + 387 = 108 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*k - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-11 + 9 + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -782. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from rrrjmvjvm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529999 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = 3*o - u, 0 = o - 3*u. Suppose 0 = -2*g + 5*l - 12, -4*g + 5 = -2*l - o. Let t = -1 + g. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5606048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -b - 24*t + 5, 34 = 5*b + t. Suppose -b*f = 1389 - 8690. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, p: 2, x: 6, z: 4}. Give prob of picking 1 x and 1 z.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - -27 - 7)*6 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and 2.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 184\/(-54)*1\/(-2) and (-43 + -2)\/9 + (-558)\/(-189) + -2.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(704)*6 + -5 - (1 + sqrt(704) + -2 + (1 + (sqrt(704)*2 - sqrt(704)) - sqrt(704)) + -4).\nAnswer: -56*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1106031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4266)\/(-30) - (-2)\/(-10) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*l**5 + 2345*l**4 - 3865*l**3 - 65*l**2 + 1120*l + 220 = 0. Calculate l.\nAnswer: -11, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 26*z**2 - 29*z - 55. Let l be 8 + -1 - 1632\/48. Let r be m(l). Sort -4, 0.2, r in ascending order.\nAnswer: -4, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1115837\/2 or 557919?\nAnswer: 1115837\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -4, 2, 66.\nAnswer: -4, -3, 2, 6, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + s - 11*s)*(-1 + 1 + 1) + (-5 - 3 + 3)*(2*s + 7*s - 3*s) in the form m*s + k and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - p**4 + 0*p**4)*(3 + 3*p - 3) + 34 + 4*p**5 - 34.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3016, -3010, -3002, -2992?\n\"Answer: p**2 + 3*p - 3020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404931648 and 23408.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10472*a**5 + 52356*a**4 - 94228*a**3 + 73268*a**2 - 20916*a - 8 = 0. Calculate a.\nAnswer: -1\/2618, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13883493 divided by 39.\nAnswer: 355987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22\/373 + -32231\/3730. Let s = 1783\/63 - 467\/14. Find the common denominator of d and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 1 l when three letters picked without replacement from llbzlblvzllbzb?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/i**(2\/5))*i*i)\/i)**(16\/11))**(-5)\/((i*i**1*i)**(8\/9)\/(i**(2\/29)\/i**(-1\/4))) assuming i is positive.\nAnswer: i**(-75803\/3828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/5*6*(-3)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2506, -2513, -2520, -2527, -2534, -2541?\n\"Answer: -7*k - 2499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0*z = z + 7, 0 = -5*w - 3*z - 25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*n + 67, 0 = -n + 5*h - 19. What is the remainder when 1604 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -657, 1 in descending order.\nAnswer: 1, -4, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlqluluunuxxdlu. Give prob of sequence uxq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 536?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.178121 + 2.79?\nAnswer: 1.611879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-four fifths of a centimeter?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 63*w - 2373 - 1436. Solve -27*d - w = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14d74 (base 14) to base 6\nAnswer: -1040534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 + (-3458)\/(-952) - 4\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181512268 and 2416?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -20. Suppose 2*y = 2*j - j + 35, 2*y - x = -j. Solve -3 = -3*z - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 204, 203, 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:06 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 1}. What is prob of sequence vqv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13 = i, 6*v - 2*v - 16 = -2*i. Let b be (0 + v)\/1*-141. Let n = b - -635. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/413850 and -29\/958975.\nAnswer: 178369350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.589789 + 3?\nAnswer: -3.589789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 128 + 39 = 91 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 11*r**2 - 11*r - 5. Let z(b) = b**3 - b + 1. Let l(w) = d(w) - 3*z(w). What are the prime factors of l(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) - sqrt(8) - (sqrt(242) + -4).\nAnswer: -7*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 4903 - 392. Let z = v - 346. What is the highest common divisor of z and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34486 (base 10) to base 13.\nAnswer: -1290a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 8*a**2 - 26*a - 34. Suppose 3*y - 2*u + 14 = 2*u, 4*y + 56 = -4*u. Let l be i(y). Solve -c + 2 = -w, -5*c + w = 5*w + l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1, 2\/197?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2660, -5, -14 in decreasing order.\nAnswer: 2660, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548623?\nAnswer: 13, 272971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -216, -326, -438, -552?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 34 = -3*k, 0*y + 67 = 4*k - y. Let t be 3\/k + 23\/6. Suppose -t*u + 2 = -10. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 449028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/32*-4)\/(2\/(-9886)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 + 174*z**2 + 90*z + 62. What is the remainder when 737 is divided by c(44)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*z - 46978 + 46578 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkwkkukkwwwkw. Give prob of picking 1 w and 3 k.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 578917998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/27 + 2\/6. Let i be (2\/10)\/(((-245)\/25)\/(-7)). Which is greater: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**3 - 39*f**2 - 6*f + 19. Calculate a(5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by -435.\nAnswer: -119\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -344*s**2 - 4. Let a(y) = 2*y**2. Calculate a(k(l)).\nAnswer: 236672*l**4 + 5504*l**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)\/n*n*n**(-9)*(n*n**(-8))\/((n**(-2\/47)\/n)\/n) assuming n is positive.\nAnswer: n**(-1314\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -5, -46, 3, -1, -3 in descending order.\nAnswer: 3, -1, -3, -5, -32, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.87 - 4.13. Let j = 78\/85 - 2\/17. Sort 5, y, 33, j in decreasing order.\nAnswer: 33, 5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319215512 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**44*v\/v**2*v**0 assuming v is positive.\nAnswer: v**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + (-16 - (9 - 23 - -20)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 9*x = 60, -13*x + 13 = -4*h - 8*x - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1980, 1890, 1740, 1530, 1260?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -j + 14, -b - 3*j = 9*b - 12*b - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)\/f**(-3))\/(f**(-5)\/f*f*f*f**3\/f))\/(f**(-2\/9)\/((f**(-4\/3)*f)\/f))**(-35) assuming f is positive.\nAnswer: f**(1948\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/4 + 0)*(-2)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 16\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t**2 - 4 - 1\/5*t**3 + 3\/5*t. Suppose l(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-1\/13)\/n))*n*n)\/n)**(-21)*n\/n**2*n\/n**18 assuming n is positive.\nAnswer: n**(-213\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116766370 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -t - 405, -5*n + 2*t - 4*t - 410 = 0. Does 15 divide 4\/(n\/25)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/3)*l*l*l)**43 assuming l is positive.\nAnswer: l**(688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 = -s - 2*g, -4*s + 2*g + 6 = 0. Which is the third smallest value? (a) s (b) -2\/7 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608143 is divided by 5630.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 + 2*f**2 - f. Calculate x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*j + 35 + 95 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 + -223.2. What is the second biggest value in 2\/7, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437956650 divided by -24330925?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 643110 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 114*q**2 - q - 42. What is b(0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 + 31305*y + 156450 = 0. What is y?\nAnswer: -10430, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9617000*-0.3\nAnswer: 2885100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 + 1344*m**3 - 1345*m**3 - 1 + 5*m**2 + 2*m. Let r be (-3 - -11) + -2 + 4 + -4. Suppose 3*d - r = 3. Give u(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 6. Let w be t(-1). Let f(b) = -27*b - 64. Let a be f(w). What is the highest common divisor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3. Let p(z) = -z - 14. Let h(v) = -11*k(v) - 2*p(v). Determine h(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248542 + -153003. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -28*b**2. Let l(n) = -683*n + 2280*n - 597*n - 692*n - 542*n. Determine u(l(c)).\nAnswer: -1533168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13123.\nAnswer: 11, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.011. Let r = -73 + 72.9844. Let p = l + r. What is p rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 332282, 332341, 332402, 332465, 332530?\n\"Answer: h**2 + 56*h + 332225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 12*u - 368. Let g be v(26). Which is the nearest to -1.7? (a) 3 (b) g (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 - 5068*o = 0 for o.\nAnswer: -1267, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7034 - -7042. Solve 4*g = 4*a + o, 5*a + 9*g - 11*g = -16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 274.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pst when three letters picked without replacement from qqzstbp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671906131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 - 13*r + 55. Give g(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + w = -2*w - 368, -4*o + 3*w = -295. Calculate the remainder when 282 is divided by o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229958 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-501.\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14516*i + i**2 + 2*i**4 - 14516*i + (-1 - 2 + 1)*(-3*i**4 - 3*i**4 + 5*i**4) to the form b*i**2 + u*i**3 + d*i + f*i**4 + h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 458400 and 27192.\nAnswer: 519367200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-39))**37*a\/a**31*(a**(-14)*a)\/a assuming a is positive.\nAnswer: a**(-1487)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -41.4. Let o = w - 16. What is the smallest value in 2\/3, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**6\/6 - 3*x**5\/2 + 80*x**3\/3 + 132*x - 1. Factor h(t).\nAnswer: -5*t*(t - 2)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.3 + 0.7. Let m = 7 - z. Let k = 1.9 - m. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084 is divided by 521?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138532 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 2 - (-70 - -73).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-4) - (-6)\/24. Let z be 1 - ((-4)\/1 + 1). Let c(s) = v*s - 5 + z*s - s**2 + s - 3*s. Calculate c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25a420 - -3a?\nAnswer: 25a45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97987\/24 + -4080. What is the common denominator of b and -115\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21681018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -96. Let y(r) = -r**3 - 4*r**2 + 8*r + 4. Let b be y(-5). What is the remainder when t is divided by b*(-1)\/1 - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44602 and 2459262?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-63))\/(11\/(-77))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2789, 12797, 37195, 83177, 157937, 268669, 422567?\nAnswer: 626825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/2313 and 38\/1285?\nAnswer: 11565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131789673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 + 5*u**4\/24 - 3*u**3\/2 - 26*u**2 - 2. What is d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 43*z**4\/8 - z**3\/3 - 817*z**2. Let d(p) = 6 - 6 - p + 0*p. What is a(d(v))?\nAnswer: -129*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774, 781, 790, 801?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1158 = -4*v + 635, v - 442 = 5*g. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 3*r**2 + 4*r + 3. Calculate b(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2514, -1, -3 in decreasing order.\nAnswer: 2514, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1940103 - 4?\nAnswer: 1940099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17631\/7 - 2517. Let -2*h**3 + 0*h**4 - g*h**2 + 0*h + 0 + 2\/7*h**5 = 0. What is h?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761168.\nAnswer: 2, 3, 36691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11501 = 1235*g - 371*g - 15609 - 33044 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3374 is divided by 1583?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4\/200*(3 - 19)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 5, -229893743?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -9. Which is the closest to 2? (a) z (b) -3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -44, 1, 0.7, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2550\/4)\/(119\/(-14) + 9)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12400 or 12382?\nAnswer: 12400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010255 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = u, 0 = 2*u + 5*q + 2 - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(5\/19)\/((z*z\/(z**7\/z))\/(z*z**2)) assuming z is positive.\nAnswer: z**(128\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/120 + v**5\/10 - v**4\/8 - 7*v**3\/6 - 3*v**2. Let j be h(5). Suppose 0 = j*n - 165 - 36. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - o**2 + 3*o**2 as w*o**2 + g + x*o and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7514281 is divided by 868.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + 4*r - 12. Give d(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b - 21 = -50*b, 5*b - 2*b - 53 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9264829 and 7847?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g - 5. Let r be i(-5). Let l = r + 20. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v**3 - 6*v + 1. Let g(z) = 17*z**3 + 16*z - 2. Determine -4*g(c) - 10*w(c).\nAnswer: 22*c**3 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*(-147)\/(-35)*282\/(-2538)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-1))\/((-14)\/112). Let l = u + -447\/2. Which is the closest to l? (a) 0.3 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z. Let h(q) = 33*q + 41*q - 77*q. Calculate h(v(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4407074.\nAnswer: -3, 2, 4407074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a**5 + 150*a**4 + 485*a**3 - 2180*a**2 + 1980*a - 400 = 0. Calculate a.\nAnswer: -4, 2\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -173 in 99, -0.18, 1\/4, 2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 4*p - 36 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 382945100 to the nearest 1000000.\nAnswer: 383000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7037181547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2992, 0, -4, -40.389 in descending order.\nAnswer: 2992, 0, -4, -40.389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 76*u**3 + 85*u**2 - 75*u**3 - 29*u**2 to a + p*u**2 + j*u**3 + t*u and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50188 - -50191. Solve -9\/4*q - 7\/2*q**u + 3\/2*q**4 + 1\/2 + 4*q**2 - 1\/4*q**5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from eaweaaaeaae.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 194 + -29 + -24 - 101?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180721 is divided by 1166?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-17 + -1)\/(27 + -25) + 8342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -322, 728, 5, 0 in increasing order.\nAnswer: -322, 0, 3, 5, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/35675 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 147.4167 and 5.\nAnswer: 152.4167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tllhlhlthl. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a + 16*a + 98531 - 323103. What are the prime factors of a?\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -33285?\nAnswer: 33288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11 - 1 - 3*p + 6 + 0*p. Let i(o) = 2*o + 5. Let f = 13245 + -13249. What is f*i(g) - 3*x(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/660 - v**4\/44 - 2*v**3\/33 - 9*v**2. Let x(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5. Let u be 0 + 0 + (-1)\/f. Let n(j) = -4. Let h(b) = 5. Let a(d) = 5*h(d) + 6*n(d). Let y(w) = w - 1. Calculate u*y(v) - a(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19154 - 18976. Which is smaller: 152 or m?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/8)\/7*4. Let y(f) = -132*f. Let s be y(q). Calculate the remainder when 43 is divided by (6\/(-9))\/(16\/s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15dbcd (base 16) to base 13.\nAnswer: 3b2063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181383463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988923171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = t. Let v(j) be the first derivative of 17\/15*j**3 + 49\/30*j**6 + 1 + 12\/5*j**t + 4\/5*j - 21\/25*j**5 - 73\/20*j**4. Solve v(h) = 0 for h.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 10*w - 18. Suppose 11*v + 18 = -4. Let l be f(v). Solve -4*u = 5*m + 2, l*m + 20 = m + 5*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 50. Give j(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -25127 in increasing order.\nAnswer: -25127, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 374767 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4919, -19649, -44195, -78551, -122711?\nAnswer: -176669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 127. Suppose u = -2*r + 22 - 14. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y - 8. Calculate u(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a century in months?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -15c?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 261 (b) 0.09 (c) -3\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from fttfqtftqtfqtqtf.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 8, 2\/29, 0.04, 5, -28.\nAnswer: -28, 0.04, 2\/29, 1, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 2*c - 1. Let u(w) be the second derivative of -w**3\/6 - w**2\/2 - 32*w. Calculate -o(i) + u(i).\nAnswer: -2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4875 is divided by 264?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 7*r + 9. Let x be o(-8). Let i(s) = 23*s**2 + 320*s - 24. Let h be i(-14). Put x, -3, -1, h in decreasing order.\nAnswer: h, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxdttxttttz. What is prob of sequence dx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, n: 1, j: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 48*r + 59. Is s(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 9. Let z be f(4). Suppose 3*h = 3*v - 48, -z*v - h = h - 58. What is the units digit of 862\/12 + v\/108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527308478.\nAnswer: 2, 5233, 50383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*z + 2445 = 332*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -123610 less than -3?\nAnswer: 123607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -1 - 5) + 86 + -4 + 17.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*f - f - 10, 5*f + x - 6 = 0. Suppose n - 12 = 3*r, -r + 0*r + n - 2 = 0. Sort f, 4, r in descending order.\nAnswer: 4, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t - 3*t**2 - 36*t + 19*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**4\/4 - 36*g**3 + 219*g**2\/2 + 3*g + 256. Let m(a) = 0. What is a?\nAnswer: -73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**2 + 2. Suppose -3*f + 0 = -3. Let i(q) = f + 3*q - 1. Calculate i(g(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.7 + 9.9. Let o be (-17)\/45 + (-4)\/18. Which is the smallest value? (a) f (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(24)\/(sqrt(8) + 1*sqrt(8)) + (sqrt(210)\/(sqrt(7) - sqrt(28)))\/(sqrt(10) + sqrt(20)\/sqrt(2)*-4))**2.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758238, -1516485, -2274742, -3033015, -3791310, -4549633?\nAnswer: -5307990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 36 - 102. Let s = m - -53. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfmn when four letters picked without replacement from nfnmmmppnyfr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from jjjjjjoiajiijiii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(2\/9))\/u*u**(-5\/2))**(-20\/3))**43 assuming u is positive.\nAnswer: u**(13330\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(2 + (-112)\/12). Calculate the greatest common factor of s and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4605297 millilitres to litres.\nAnswer: 0.0004605297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.2 - 7.2. Let t = s + -47. What is the nearest to 0 in -1, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -155*a + 1889. What is b(11)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -5. Let q be ((-1)\/b)\/(3\/(-18)). Suppose 5*u = q*u + 3. Calculate the greatest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 40, -2 in ascending order.\nAnswer: -2, -1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28886 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 6914*j\/3 - 27688\/3.\nAnswer: 2*(j - 3461)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65\/2 - -34. Let a(r) = r. Let t be a(2). Sort t, 0.5, d in decreasing order.\nAnswer: t, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + (94 - (110 + 32)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6284*g**2 - 10228*g?\nAnswer: -12568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 32 - 32.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 436642 + -136.2.\nAnswer: 436505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 3*j - 110*j**2 - 4*j.\nAnswer: -110*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208.00000032 + -208. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234024 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:06 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 6, 2\/7, -6, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23717303 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - (-10 + 7) - 10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 2*a**3 + 27 + 4*a**4 - 13*a**4 - 25 + 2*a**2 to i*a**2 + y + d*a + n*a**4 + s*a**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 1671?\nAnswer: 1671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from bbebbegege.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 11*c - 17*c + 16 = -14*u, -u = -3*c - 7 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5*o - 10. Let k(f) = 2. Let x(p) = -3*k(p) - s(p). Factor x(u).\nAnswer: (u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)\/(4\/(-16)). Suppose -q*s + 151 = 5*y, 13 = -2*s + y + 92. Suppose -s = -5*a + 41. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 300*q**3 - 18*q**2 + 39*q. Let u(y) = 100*y**3 - 6*y**2 + 15*y. Determine 3*r(z) - 8*u(z).\nAnswer: 100*z**3 - 6*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6931908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*v - 19, -l + 6 = 4*v + 1. What is the nearest to -0.1 in -1, -3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -70.8, -5, 34, 208 in increasing order.\nAnswer: -70.8, -5, -3, 34, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*t + 17, -3691 + 3693 = 5*t - 9*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/102 in 0.1, -12, -0.05, -3\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.797164 tonnes in grams?\nAnswer: 6797164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -20*p + 21. Sort -3, p, 2, -6 in decreasing order.\nAnswer: 2, p, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/((-1)\/(4 - 3)). Suppose q*l = -3*l + 5819. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/35*20\/3 and -73\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*k + 4*k - 20, -20 = -4*o + k. Let n = -2 + o. Let s(b) = b**3 - 2*b**2 + 3*b - 2. List the prime factors of s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 7:44 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 28. Let b = p - 41. Is (15\/6)\/((-2)\/b) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 26355*z - 342787. Give w(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 25*b + 130. What is h(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 + 34*x - 70. What is o(3)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -153 in -3, -2\/5, -0.04, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37153022*r - 13494811 wrt r.\nAnswer: -37153022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d - 20. What is w(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(231))\/sqrt(11) - (sqrt(84)*-2)\/sqrt(4))\/((sqrt(24)*1)\/(sqrt(162)*2 + sqrt(162) - sqrt(162))).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6 + 5)*2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(578\/(-221)) - 36\/16*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83\/4 + 20. Calculate the common denominator of (14\/(-16))\/(4\/(-6)) and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 34*t**3 + 7*t**2 - 7*t + 5. Let u(i) = 17*i**3 + 69 + 27 - 118 + 24 + 3*i**2 - 3*i. Determine 3*b(v) - 7*u(v).\nAnswer: -17*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 202101200?\nAnswer: 202101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 45.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2040592.\nAnswer: 2, 89, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -618*f**2 - 12 + 277*f**2 + 12 + 7*f**3 + 280*f**2 - f to the form k*f**2 + i*f**3 + d + p*f and give k.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2, -4*q - 61 + 98 = 5*f. What is the highest common divisor of 54 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*h + 89 = 0, 5*k + 5*h = 2*h + 187. Suppose -k = 4*a - 7. Is -17\/3 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 38 = 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*a = 26, g + 4*a = -12 - 8. Let j(k) = k**3 + 8*k**2 - k - 6. Let x be j(g). Solve 0 = -x*s + 8*s - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*w + 10 + 16, -w + 19 = 4*b. Suppose b*d - 32 = 4. Let t(v) = v**2 - 5*v - 5. Let u be t(d). Solve 0*h + u = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 29)*(128\/174 + (-58)\/841).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 474378 and 474382 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*s - 16 = 0, 243*s = 250*s + 7 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2801059 rounded to 2 decimal places?\nAnswer: 11.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -52. What is the highest common divisor of i and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 - (-30 + -44)) + (-2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(4*b - 3*b - 3*b) - 2*b**2 - 2*b**2 + 0*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -1\/4 (c) -4\/3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*i**3 - 616*i**3 + 301*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -349?\nAnswer: -27\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1338*b**5\/5 - b**4\/4 + 38*b**3 + b**2\/2 - 4669*b. What is the third derivative of p(k) wrt k?\nAnswer: 32112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -7. Let z = w + -10. Suppose 0 = -3*t + d - 1 + 5, -2*t + 2*d = 4. Do z and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 929, 1832, 3099, 4730, 6725?\nAnswer: 9084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105 - 99*s - 543*s - 351*s - 106)*(-8 + 3 + 2 + (3 - 5 + 0)*(2 + 4 - 4) - 1 + 0 + 3 - 1 + 3 + 0) to k*s + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Suppose 2*v + 0*m + 3*m = 55, 80 = 5*v - 4*m. Suppose 0*b = -4*b + v. Solve 4*r = -b*y, 0 = -h*r + 2*y + y - 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 40725 - 83547 = 4*x, 4*j + x - 165753 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 20.99965. Round q to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2. Let z(p) = -196809*p**2. Determine i(z(n)).\nAnswer: 154935129924*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135216 = 520*x + 190*x + 1168*x for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1525\/42 + -80\/21. Calculate the common denominator of -77\/148 and q.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.354795894 to 5 dps.\nAnswer: 0.3548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l + 88 = -4*u, 3*l - 58 = u. Solve -56 = l*c + 10*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 525, 1163, 2057, 3207, 4613?\nAnswer: 6275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0 + 30 = 0. Let d be (-16)\/q*18\/24. Suppose 5*f - 291 = d*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p + 3*o - 93, 265 = 5*p + o. Let l = p - 14. Let n = l - 14. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 3}. What is prob of picking 1 j and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.4 (c) 8\/7 (d) -31 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {r: 2, u: 5, y: 4, w: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -11, -10 in decreasing order.\nAnswer: 60, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7530 is divided by 1734.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24223 times -9\nAnswer: -218007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9514, 10267, 11020?\nAnswer: 11773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -8, -32, -90, -194, -356, -588?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 46*w**2 + 225*w + 10. Let g be s(-7). Let b(m) = -3 + 5*m + 2 + 5*m - 2. Give b(g).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 901\/(-106) + (-2)\/(-4). Let y = -9 + 4. What is the second smallest value in q, y, 0.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 + 12*t**2 - 14*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81226*f**3 + 141 + 40558*f**3 + 40583*f**3 - 135.\nAnswer: -85*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -551\/7 + 79. What is the nearest to -0.2 in 2, -2\/37, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from rgrrhrrgrrhrgrghh?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 27*g**2 + 54*g - 41. Let u be t(-29). Let a = -4 - 1. Let z = u + a. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3)*2 + 5)**2 - sqrt(3)) + sqrt(3) + sqrt(75)*1.\nAnswer: 52 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5146, 4624, 4158, 3778, 3514?\n\"Answer: 5*n**3 - 2*n**2 - 551*n + 5694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14106\/25895 or 0?\nAnswer: 14106\/25895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*w - 3*l, -2*l = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -516, 3.5, 0.03?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 568 - 170. Suppose -x = -2*l - 2. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58 (b) -112.22 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -280092 divided by 3\nAnswer: -93364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-390))\/(4\/(-56)). Which is the second biggest value? (a) -2 (b) i (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 19*w - 13. Is 19 a factor of h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -591*z + 2. Let g be w(-8). Suppose -3*i - 770 + g = 0. What is i rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 3*x**2)*(4*x**3 - x**2 - 2*x - x**2 - 2*x**3).\nAnswer: -4*x**5 + 4*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 1)*(-28386)\/285. Let l = 11057 + h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 + 17*x**2 - 8*x**2 - 9*x**2. Let j(b) = 3*b. Calculate j(o(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**2 - 53*i - 63. Let b be v(-5). Let f(z) = -z - 2. Let k = 10 + -12. Let j be f(k). Solve -x + b = -j*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 11. Solve 7 = -z - w, -3*w + o = -4*z - 6*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9672 by 19.\nAnswer: 9672\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 q when three letters picked without replacement from {s: 1, b: 3, q: 1, d: 1, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.825 - 3454.325. What is j rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -6. Let c = y + -17. Find the first derivative of 1 - 12 + a**4 - 4*a**c wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4389427490 to the power of 1\/4, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-98)*(-1792)\/(-1536)*3)\/((-108)\/(-14))\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31873 + 63722 + 13*l**3 - 4*l**3 - 31849.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3826 minus -0.08?\nAnswer: 0.4626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079 is divided by 66?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(242)*-6 - sqrt(242).\nAnswer: -77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, 144, 222, 304?\n\"Answer: 2*z**2 + 68*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2241 + -2160. Calculate the remainder when 355 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 4*t + 4. Let k(x) be the first derivative of -2*x**3 - 9*x**2\/2 - 9*x + 158. Let n(v) = -9*j(v) - 4*k(v). Let m(r) = 112*r. What is n(m(b))?\nAnswer: -37632*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49404*-2546.\nAnswer: 125782584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddc when three letters picked without replacement from ddcdcdcpdpdicdcd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65120287 to the nearest integer?\nAnswer: 8070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 3162 and 15808\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 11}. Give prob of picking 4 t.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 + -197. Let j = -18.887 - 3.023. Let w = 22 + j. Sort -0.1, z, w in decreasing order.\nAnswer: z, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 544 from 55.24.\nAnswer: -488.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -5, -1, -1.53 in descending order.\nAnswer: 2\/3, -1, -1.53, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 14*m + 4*i = 18*m + 36, -5*i - 15 = 0. Let q be (h\/m)\/((-3)\/(-2)). What is the closest to 4 in q, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51599747 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(765\/(-147)) + -1. Let d = x - 13\/102. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*u + 786 = 2387, -5*o + 4*u = -1613. Suppose 0 = -5*b + 54 + o. Let a be (b\/2)\/((-3)\/384). Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-22227)\/27 - 6. Let q = -827 - l. Sort q, -2\/89, -0.5 in increasing order.\nAnswer: -0.5, -2\/89, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:19 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 6. What is y(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.436002.\nAnswer: 0.1308006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -1607, -120.7?\nAnswer: -120.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3))\/j*j*j\/(j\/(j\/(j\/((j**(-1\/11)\/j)\/j)))))**(-1\/45) assuming j is positive.\nAnswer: j**(-7\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2085 (base 9) to base 5\nAnswer: -22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220220113202 - -2?\nAnswer: 220220113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**(2\/13)*h))\/h)**(-24))**(-36) assuming h is positive.\nAnswer: h**(-35424\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (176 - -1)\/(-1). Let s(d) = -7*d + 16. Let i be s(8). Let c = 56 + i. Calculate the highest common divisor of k and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181524 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1183192 and -83\/10?\nAnswer: 5915960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 1}. Give prob of picking 1 y and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, d: 3, n: 1}. Give prob of sequence dnnk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 30\/6949331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 690, 1382, 2074?\n\"Answer: 692*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = t + 6, 0 = -6506*k + 6516*k - 3*t - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -195. Suppose -b + 32 = 3*x, -2*b = x + x - r. Let w be b\/(-6) - (-7)\/21. Put 2, w, -3, 3 in increasing order.\nAnswer: w, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 - (3 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -38. Suppose -3*u = 2*z + 160 + 581, 3*z = -2*u - 494. Let f = 2225\/9 + u. Is f bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*p + 12, 136*p - 5*h = -2*h - 399 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64*4*6\/48)\/((-239)\/239)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = h + 4*l, 2*h + l = 2*l + 6. Let i(p) = -p + 15. What is the lowest common multiple of i(9) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 40*h + 218. Let f(p) = p - 3. Let v(d) = -2*f(d) - w(d). What is the derivative of v(c) wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7466 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 613 + -597 + -23 + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10337.12l in millilitres?\nAnswer: 10337120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 259, -3 in increasing order.\nAnswer: -3, 0.1, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y**5\/7 - 23712*y**4\/7 - 229744*y**3 + 4369176*y**2 - 17111812*y\/7 - 11840520\/7 = 0. What is y?\nAnswer: -79, -2\/5, 1, 15, 1249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10585 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - c**3)*(966*c - 267*c + 162*c).\nAnswer: -861*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.6. Let x = h - 1.9. Let j = 2.9 + x. Which is the nearest to -1\/4? (a) j (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 5*c + 3*v, 0 = -200*c + 192*c + 10*v - 94 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/91*(17 - (-50472)\/(-2970))*15.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - 1?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w + 15033. Let l(a) = -2*a. Calculate l(y(r)).\nAnswer: 48*r - 30066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*b**4*x - 2*b**2*x**3 + 2*b**2*x + 36*b + 9*x**3 wrt b?\nAnswer: 1260*b**2*x - 4*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38488360 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1972 by -19.\nAnswer: -1972\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 - 17*y**2\/3 - 12*y - 20\/3.\nAnswer: (y - 5)*(y + 1)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -205 + -2 - (-7 + 9 + -2). Let m = b + 401. What are the prime factors of m?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 115 = 4*l, 2*b - 88 = -5*l + 52. Suppose 9*s - 5*p = 4*s + 55, -3*s = 3*p - 57. Calculate the highest common divisor of l and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 2 + 2\/3*f**3 + 0*f + 1\/2*f**2. Let v be (-4)\/(0 + (-3 - -5)). Calculate n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 4*h - 8*h + b*q = -460, -2*q - 8 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 53 + -32 + -8 + (2 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*f - 88 = 3*f - 88. Solve 18*o - 20*o + 4 = f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5*t + 2*t)*(0*t + 19*t - 3*t).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*t - 5*t**4 - 15*t - 120*t**2 + 22*t**3 + 25*t**2 - 77*t**3 - 4*t.\nAnswer: -5*t*(t + 1)**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Suppose n = -2*t + t. Suppose 4*f - 8*f + 164 = t. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584) + (-2 + sqrt(1584) + -3 - sqrt(1584))) - (sqrt(1584) - -2*2*sqrt(1584)))*5)**2*6.\nAnswer: -90000*sqrt(11) + 5943750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 339*t - 338*t - 6 = 0, 5*l = -3*t - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41869\/15873 + 2\/1443. Find the common denominator of 5*-1 + (-20)\/(-20) + 1695\/225 and a.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -42, -93, -168, -267, -390, -537?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*(-22)\/(-11)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*z + 17 = -3*c - 112*z, 3*c - 3*z + 21 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**4 + 18*k**3 + 21*k**2 + 12. Let q(b) = 3*b**4 + 17*b**3 + 20*b**2 + b + 10. Let a(c) = 6*q(c) - 5*v(c). Factor a(u).\nAnswer: 3*u*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:08 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 j when four letters picked without replacement from jfffj.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 170192 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/(-4)*438 + (-2)\/(-4) and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861269 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - w**2 - w + 1. Let z be d(0). Let n be (-1)\/(z + (-3)\/2). Solve n*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87075 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39859242011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (26 - 23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/23, 1, -0.1, 1836, 1\/3998, -3?\nAnswer: 1\/3998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5220066 is divided by 10136?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-22)*j**(8\/11)*(j*j**(1\/5))\/(j*j**(-5\/4)\/j) assuming j is positive.\nAnswer: j**(-4141\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.06. Let s = j + -0.05. Let i = s - 5.05. Which is the biggest value? (a) i (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 10*l + 10. Let r be q(-5). Suppose r = -2*c, 2*c = -5*y + 245 + 310. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*w - 4*w - 11, 0 = -3*u - w. Differentiate -u - 4*d - 4 - 1 - d wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x**5 + 17 - 19\/30*x**6 + 16\/3*x**3 - 4*x**2 + 0*x + 0*x**4. Find the first derivative of y(t) wrt t.\nAnswer: -228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -429 and -432 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9618 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*((-16)\/6 - 0). Let y(k) = k**2 + 5*k + 7. Let z be y(r). Solve -2*c - 8 = -4*x, 0 = -7*c + z*c - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:25 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*w - 9892 = -11712 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10282870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -59. Let b = 103\/2 + -931\/18. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -7.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 30 = -0*a. Let y(g) = g**2 - 10*g - 9. Let r be y(10). Let d = 10 + r. Is d bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d**3 + 0*d - 6 + 0*d**4 - 1\/10*d**6 + 3\/25*d**5 + 0*d**2. Suppose q(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-18))\/((-443)\/(-66450))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.07 (c) 0.3243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512192986 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4717207.53 minutes in weeks?\nAnswer: 467.9769375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.75 + 1.25. What is the nearest to 1\/6 in -2\/3, m, -26?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -24, 3, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 2*x - 1. Let t be y(-2). Let a = t + 0. What is the second derivative of 0*b + b + 18*b**a - 16*b**3 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 108*b - 386. Solve -5*i - 3*p + 16 = p, -14 = -b*i - 2*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28669 is divided by 240.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 90 = -8*s + 2*w, 5*s - 3*w = 114. Suppose s*i = 16*i + 2*c + 1550, 0 = -c. What is the remainder when i is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 8. Let a(k) = -5*k + w*k**2 + 4*k + k. Let h(t) = -2*t. Give a(h(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -0*s + 3*d, 2*s - 2*d - 16 = 0. Suppose 3*k + 3*z = z + 50, -2*k + s*z + 12 = 0. What is the greatest common divisor of k and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0 - 4*w**2 + 0*w**3 + 1\/30*w**5 + 1\/12*w**4 - 1\/20*w**6 + 0*w - 1\/84*w**8 - 1\/21*w**7. Factor h(z).\nAnswer: -2*z*(z + 1)**3*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/46 and (-494)\/48 + 3\/24?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.055 + 9.1651. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 810 divide 14529480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 76*a + 1. Let l be o(1). Let s = l + -52. Let u = 6 + s. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4.2. Let o = m + -0.2. Let f = -0.4 - o. Sort -5, 3\/2, f in descending order.\nAnswer: 3\/2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0731 - 0.0269. Which is the closest to 0.01? (a) 3\/2 (b) -14 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.016 + -0.016. Let b = h + -25. What is the biggest value in b, -2\/15, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*-1*3*708\/5841\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 589419*s**2. Let y(k) = 9*k**2. What is h(y(x))?\nAnswer: 47742939*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r, 3*u + 5*r - 11664 = -u. Suppose -b - 23911 = 2*t - u, t + 4*b + 10480 = 0. What is t rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3888 and -3.\nAnswer: -11664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Give g(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*x - 7. Suppose -5*v = 4*m - 20, -3*v + 7 - 2 = m. Suppose t - 38 = -v*t. Calculate the remainder when t is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 6*s**4 + 4*s**4)*(2 + 0 + 0) + (-4*s + 3*s + 5*s)*(-2*s**2 - 4 + 1 + 2)*(331 - 331 + 62*s).\nAnswer: -498*s**4 - 248*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34355 is divided by 1010?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22739370?\nAnswer: 2, 3, 5, 17, 44587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 15*s + 4. Let o be v(14). Let k be (36\/o)\/((105\/100)\/(-7)). Let w be ((-8)\/(-14))\/(k\/56). What is the third smallest value in -3, 0.5, 0, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.065771274 and -103025?\nAnswer: 103025.065771274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - -1024?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 5 - 5)*(-i + i - i**3 + (4*i - 4*i - i**2)*(0 - i + 0) + 3*i**3 - 2*i**3 + 0*i**3 + 0*i**3 + i**3 + i**3).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090202239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4455 + -33?\nAnswer: -4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -11) + (10 - 10). Solve v = -3*x + 3, 2*x - 2*v = -x + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -2\/11, 5, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -r, -4*p = p + 2*r + 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {e: 7, i: 3, q: 1, v: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120200212 (base 3) in base 12?\nAnswer: 6758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*z + 1560, z + 2*z + 1560 = 3*b. Let t be 3*3\/(9\/230). Let w = z + t. Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064 is divided by 526.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9 + 0*n + 4*n - 3*n + 13. Let x be c(-10). What is the first derivative of -x*j + 2*j + 8 - 3*j wrt j?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heeh when four letters picked without replacement from ehuhhhhhuhhuhhhuheu?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10804?\nAnswer: 10804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 122206.9+0.1\nAnswer: 122207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12881, -12953, -13027, -13103, -13181, -13261?\n\"Answer: -x**2 - 69*x - 12811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 30213321?\nAnswer: 30213404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12635.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2533, -2532, -2531?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 21.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250017 (base 9) to base 6.\nAnswer: -3122411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-3))\/(-4*(-1)\/600). Let k be t\/(2 + (-4683)\/1170 - -2). Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9179 is divided by 241.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l - 6. Suppose -v = v - t - 259, -4*t = -v + 126. Let s = v + -113. Let j(y) = -2*y - 2. What is s*j(b) - 6*c(b)?\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 3 - (-2)\/((-6)\/3). What are the prime factors of (-6)\/(-10) + (l - 2188\/(-20))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -87*r. Let n(j) = -781*j. Give -55*f(o) + 6*n(o).\nAnswer: 99*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*q = -0*h - 14, 19 = 3*h - 5*q. Which is the nearest to h? (a) 5 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 1730, 5870, 13932, 27224, 47054, 74730?\nAnswer: 111560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3037015215 - 11541\nAnswer: 3037003674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roorrrrorrrorrorrrr. Give prob of sequence or.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2580, -2590, -2606, -2628, -2656?\n\"Answer: -3*r**2 - r - 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 373?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2 + 37*w - 4. Let c(l) = 18*l**2 + 72*l - 7. What is -4*c(a) + 7*k(a)?\nAnswer: -9*a**2 - 29*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 79 - 80*j + 5\/3*j**3 + 15*j**2. Let s(t) = 0. What is t?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*m + 16*m + 45 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/231 - 479\/3927. Let n = -25\/87 - -18\/29. Let h be (-3)\/6*(-4)\/(-10). What is the nearest to n in q, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25312.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472214.5 weeks to minutes.\nAnswer: 4759922160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08019190531 to four dps.\nAnswer: 0.0802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 19 = 2*t, l - 25 = 5*t - 5. Let x = -1.1 - -0.6. Which is the nearest to t? (a) 2 (b) -1\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1686*s**2 - 36*s**3 + 0 - 1686*s**2 as g*s**2 + c*s + z + x*s**3 and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783696875?\nAnswer: 5, 13, 101, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 3*s + 1. Let a be k(-2). Suppose a*j = 23*j - 408. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 2*x - 6*r, -5*r - 5 = 0. Is x greater than 2\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4\/9 + 160*b**3\/9 + 2048*b**2\/9 + 8192*b\/9.\nAnswer: 4*b*(b + 8)*(b + 16)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*p - 143*p - 39 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -364*b - 2347. What is the thousands digit of i(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 2*a - 2. Let s be j(-3). What is the highest common divisor of s and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -11015?\nAnswer: 297405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 2*d = 22*l + 56, 3*d + 82 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4258 = 152*i - 9574. Solve 0 = 33*z - 41 - i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13.2, -5, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*100\/105*(-96)\/(-512)?\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12*(o**(-2\/65)*o)\/o assuming o is positive.\nAnswer: o**(778\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 + 27*w + 11. Let j(f) = 7*f**2 - 27*f - 13. Let p(b) = 4*j(b) + 5*u(b). What are the prime factors of p(10)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2 + 2)*(3*w**2 + 0*w**2 - w**2)*(-5 - 18 + 7).\nAnswer: -96*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c. Let s(i) = -77*i**2 - 28*i + 28. Let n(w) = 14*w**2 + 5*w - 5. Let g(o) = -28*n(o) - 5*s(o). Give g(k(u)).\nAnswer: -2527*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3779*f**2 - 7*f + 7*f - 704*f**2 as w*f**2 + y + g*f and give w.\nAnswer: 3075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 d, and 1 o when four letters picked without replacement from nodnddn.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -17\/4 (c) 0.08 (d) 1.1 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k - 32 + 288 = 0. Solve 0 = 5*a - 5*p - 20, -k*a + 3*a + 4*p = -16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 smaller than 4823600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 11)*(-3)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 11) to base 4\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 + 3 - (26 - 29219)?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 + 6*n + 7. Let x be w(3). Which is greater: 4 or x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((10 - -2) + -18) - 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1409*h + 855*h = -24904 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 148272, 2915 in decreasing order.\nAnswer: 148272, 2915, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/61))**4\/(x**(2\/41))**(-1\/26) assuming x is positive.\nAnswer: x**(-4203\/32513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**4*r))**(-1\/51) assuming r is positive.\nAnswer: r**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y - 31. Let a be m(6). Let v = 41 - a. Suppose c + v = -22. Is -27 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390768*w - 390768*w + 1032*w**3 + 616*w**2 wrt w.\nAnswer: 6192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5774 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -439974*j**4 + 116*j**2 + 350*j + 1.\nAnswer: -10559376*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408 + 4012 = 186*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 119*j**2 - 160*j + 3. Is l(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 12. Let k be g(5). Is k > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -35\/122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 25. Suppose 9 = 3*x, -k = -6*s + 3*s - 3*x. Suppose -2*q + u + 1 = 0, u = -0*q - s*q - 1. Round q to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - s + 12. Let h be n(3). Suppose h*c - 4 = -c. Suppose -u = y + c*y - 139, 0 = -5*u + 3*y + 583. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 95 = -2*n, 4*n - 268 + 103 = -5*x. Let z = -3862 - -3929. What is the remainder when z is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -466\/5 at most -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**3 - 10*t**2 - 88*t - 474. Let b(q) = -5*q**3 - 4*q**2 - 44*q - 235. Let z(s) = -5*b(s) + 2*r(s). Differentiate z(d) wrt d.\nAnswer: 15*d**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(8)*-1)**2 + sqrt(32)\/sqrt(16).\nAnswer: sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, u: 1, h: 5}. Give prob of sequence juhj.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = 2*s - 558, 0 = -3*n + 4*s + 314. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**5))**(-3\/20)\/((v**(-3\/13)*v)\/(v*v**9*v)) assuming v is positive.\nAnswer: v**(1447\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 30. Let s = 0.8 - -0.2. What is the nearest to s in 5, z, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + 237. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 124130007 - ((-45)\/36 - 264\/(-32)). Round g to the nearest 1000000.\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + 0*w)*(-2*w - 3*w + 3*w) - 2*w - 2*w**2 + 2*w + (2*w**2 - 7*w**2 + w**2)*(-3 + 8 + 3).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*n**3 - 837*k**3*n - 161*k*n**3 wrt n?\nAnswer: -6*k**3*n - 966*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 (base 13) in base 7?\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + p - p - 2*p**2 + 19 + 24 - 40. Calculate t(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -554, -2073, -4568, -8033, -12462, -17849, -24188, -31473?\n\"Answer: z**3 - 494*z**2 - 44*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + -0.2. Put 0.3, -1, c in ascending order.\nAnswer: c, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 5165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-6))\/(-1))\/((-5224)\/70524)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6601, -6719, -6837, -6955, -7073, -7191?\n\"Answer: -118*q - 6483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/456)\/(-5) - 2*((-426)\/(-144) + -3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*o + 16. Suppose y + 100 = o*z - 101, -5*y = 15. Let m = z + -44. Calculate the smallest common multiple of m and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27291*v - 27253*v = 304 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/4 + 1*3. What is the third derivative of 0*r + 0*r - r**3 - 6*r**y + 3*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -251333, -1\/4, -3, 4\/5 in increasing order.\nAnswer: -251333, -3, -1\/4, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 + 3*r + 1. Let b be s(3). What is the derivative of 2 + t**4 - b - 3 + 4 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let c = 12 + -11. Is f not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1262*y**4 - 6*y**2 - 2*y + 115976.\nAnswer: 5048*y**3 - 12*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2668 - 2*d - 2668. Let r(a) = 2*a**2 - 9*a**2 + 4 - 4. Calculate r(q(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 0, -0.2, 0.1, -1\/26?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -31\/30*n**6 + 0*n**2 + 22\/3*n**3 + 0 + 1\/20*n**5 + 0*n**4 - 17*n. What is the second derivative of q(d) wrt d?\nAnswer: -372*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -404 + 406. What is the third smallest value in 4, 1, -6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 18698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k = -60*k + 75. Solve -k*d + 233 = 218 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4283 = 21*j - 1891. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, -0.5, 0.1, 0, -1, -10\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147942892 to the power of 1\/2, to the nearest integer?\nAnswer: 12163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -6\/5, -2\/25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l + 231. Determine o(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2614931, 2614926, 2614919, 2614910, 2614899, 2614886?\n\"Answer: -h**2 - 2*h + 2614934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 7*j + 9. Suppose 0*x = j*x. Suppose x = -r - 7 + 22. What is the highest common factor of 135 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svuiq. Give prob of sequence su.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 72, -67, -208?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 228 + -47. What is the remainder when n is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*q - 135 + 396, -5*q - 5*u = -255. Suppose 56 = z - l, 5*z - 218 = 2*l + q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 12*y**2 + y - 11. Let i be r(6). Let u(o) = -o**3 - 6*o**2 - 8*o - 7. Give u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535708, -1071416, -1607126, -2142838, -2678552, -3214268?\nAnswer: -3749986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:31 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvb when three letters picked without replacement from bbvvvbb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -37) + (-1128 - -1118).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1769 + 3577. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3913\/1 - 12\/(3 - -1). Let o be ((-276)\/c)\/(1\/5). Let g be 0*(2 + -1 + 0). Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/360 - 3*s**5\/40 - s**4\/8 + 7*s**3\/6 - s. Let w(v) be the second derivative of x(v). Calculate w(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 15255\nAnswer: 4\/15255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54994 is divided by 3921?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 728, 1447, 2154, 2843, 3508?\n\"Answer: -y**3 + 726*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m + 2*b - 0*b, -3*m - 14 = 4*b. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - (-4)\/(-8). Suppose h*k = k - 1. Which is the nearest to k? (a) 0.5 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 45*j - 12. Let m(c) = c**2 - 11*c + 3. Let o(t) = -t**3 + 7*t**2 + t - 16. Let w be o(7). Let y(u) = w*m(u) - 2*r(u). Determine y(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3326 and 3724\/152 + (-20)\/8?\nAnswer: 36586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 6*c - 2*c**2 - 15 - 29 + 59 + 2*c. What is p(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/9300 and -131\/3300.\nAnswer: 102300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -8, -2, 122230 in ascending order.\nAnswer: -8, -2, 0.03, 122230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14758166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f - 12. Let v(x) = -15*x + 11. Let c(d) = 5*l(d) + 4*v(d). Let m be c(2). What is the nearest to -2 in m, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 31. Let q = d + 39. Suppose -2*x = -5*r + 65, -r - r - 4*x + q = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (58\/(-4))\/((-3)\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3587 - 2412. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8073, 16147, 24211, 32259, 40285, 48283, 56247?\n\"Answer: -o**3 + o**2 + 8078*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1957628.088 and -0.037709?\nAnswer: 1957628.050291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4641 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 4*g + 2, 5*g = -5. Calculate the least common multiple of h and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 - 37*p**2 - 60*p**2 - 194*p**2.\nAnswer: -266*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 1 + 3 + 113*w + 2*w**2 + w**3.\nAnswer: w**3 + 113*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -5, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**2 - 4. Let m be j(4). Suppose 2*i + 4*u + 174 = 0, -5*i + 199 = 3*u + 641. Let s = m + i. Is 43 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 4*d + 2. Let p be i(-3). Let x = p - 2. Let o = x + 8. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 10*d**2 - 4*d - 18. Let g be s(-5). Suppose 5*m = -5*t + 1795, -g*m = -5*t - m + 1789. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15\/17 (b) 0 (c) 642 (d) -1\/4 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452466?\nAnswer: 2, 41, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 + 138.0405. Let m = a + -0.039324. What is m rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333919108 to the power of 1\/2, to the nearest integer?\nAnswer: 18273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117 and -0.6?\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 10*i = -2*p - 452, 0 = 4*i - 4. Let l = 13 - p. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1612205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13918344457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -2)*(-1 - -2). Let g = u - -15. Let k = 8 - -1. Calculate the smallest common multiple of g and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1929 = 8436 + 4323. Is 57 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 426 + -1013. Let y = w + 589. Solve 5*s + 3 + 7 = 0, y*t = 4*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -5, 0.2, -609, -1 in decreasing order.\nAnswer: 0.2, 0.12, -1, -5, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 38. Solve -4*w - 8 = 4*n, o*n + 5*w = -2*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {z: 3, i: 6, m: 7, k: 1}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 2*s - 6. Let n be o(-4). What is the second derivative of 0*q - 12*q**2 + 26*q + q**n wrt q?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 6. Suppose -x*g = -7*g + 115. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 - 190.59\nAnswer: -356.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 116 + 93 - 860*r**2.\nAnswer: -860*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72409153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 6)*(-5*p + 3*p**2 + 5*p)*(0 + 10 + 5).\nAnswer: -135*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 4, y: 1, p: 1, z: 5}. What is prob of picking 1 u and 1 d?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1831260 divided by -1327?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4 - 2*h**3 - 4*h**3 - 4*h + 5242*h**2 + 0*h**3 - 5274*h**2. Let u(m) = -7*m**3 - 31*m**2 - 5*m + 5. Give -5*t(q) + 4*u(q).\nAnswer: 2*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -26\/7, -3\/5, -0.5, -2\/51, -3\/2?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 8*d + 3. Let u be w(7). Let z(i) be the first derivative of -i**2 - 3*i - 9. Give z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 - -1827. Let o = -1577.4304 + x. Let c = -1.4 - o. Round c to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-153)\/(-45) + 6\/10. Suppose 3 - 51 = -2*x - l*n, 5*n = -3*x + 70. Solve 2*k = -2*k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8 and 77\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9315 (base 11) to base 7.\nAnswer: 51013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 11) in base 5?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:24 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1554, 11972, 40300, 95508, 186566, 322444?\n\"Answer: 1495*q**3 - 15*q**2 - 2*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) - (4 + (-1952)\/36). What is the tens digit of ((-1)\/((-6)\/n))\/(280\/9240)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 48 = 0. Suppose 0 = -5*w + 5*d + 435, w - 6*w = -4*d - 434. Let p = -39 + w. Calculate the remainder when p is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(567) + 1*sqrt(567))) + -2*(sqrt(7) - (sqrt(112))**2) + 5)*3.\nAnswer: -57*sqrt(7) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 51*o + 90. Determine d(-6).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 331, 363, 373, 355, 303?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -s - 4*m + 119, 29*m = 0 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 206160?\nAnswer: 206160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 6*a + 6. Suppose 4*q = -q - 35. Let c = q - -13. Let b be m(c). Solve 3 - b = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9204261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/108*406\/21\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84.82976 - 0.17004. Let z = 85 + s. What is z rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2002\/(-78)*12\/(-14) and 194?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/47, 15, -4, 3, 2\/3, -5 in decreasing order.\nAnswer: 15, 3, 2\/3, -5\/47, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let l = -2546 + 2549. Which is the closest to s? (a) l (b) 0.4 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-465)*(68\/(-17))\/(2*(-6)\/3).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -1\/4 (c) 0.5 (d) -15\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 4\/3)\/(-1). Let z = -0.09 + 0.1. Which is the biggest value? (a) z (b) -0.06 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i**2 + 45*i. Let d(b) = -7*b**2 + 30*b. Calculate 8*d(w) - 5*p(w).\nAnswer: -w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8848 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2))**(1\/6))**(-15) assuming t is positive.\nAnswer: t**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 4*y - 26, -5*y - 4*b + 48 - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 5*x + 6. Let c = 6 - 6. Let b be j(c). Solve 4*r + 11 = o, b*o = o - 3*r + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2542 is divided by 361?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12053 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3259271 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 634 * 0.3\nAnswer: 190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41520 = -14*m + 12*m. List the prime factors of (-8)\/(-3)*m\/160.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8266321 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/4)\/4)\/(((-3965)\/(-61))\/7020)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.9 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 70*c + 67*c + 7, c - 69 = -16*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rur when three letters picked without replacement from {r: 3, u: 17}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70541897?\nAnswer: 23, 3067039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1. Let j(w) = w**2 - 5. Let g(n) = j(n) - 5*k(n). Let y(p) = p**2 - 13*p + 15. Let l be y(14). Let q(m) = l*m - 18*m - 19*m. Calculate g(q(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1067 * -0.027417.\nAnswer: -29.253939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 154\/8279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(-2*2\/(-16)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*k - 37 + 37 - 285*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + t**2 + 0*t**2 - 2*t**2 + 3*t**2 - 2*t**2 + (t**2 + 3*t**2 - 3*t**2)*(0 + 1 + 1) - 7*t**2 + 3 + 4*t**2 + 2*t**2)*(-4*t**3 - 3*t**3 + 4*t**3).\nAnswer: -3*t**5 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*k*r**3 - 7*k*r**2 - 100*k*r - 7*k wrt r?\nAnswer: 360*k*r - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -65. Let y = -75 + 93. Is x less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 22. Is -4\/21 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13041 and 13100409?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -5 (c) 0.4 (d) -8 (e) 2\/135 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(sqrt(125) - (0 + -1*sqrt(125) + sqrt(125))) - 2*(-5 + ((sqrt(125)*-2)**2 - sqrt(125)))) + -4.\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 + 399*f**3 - 2*f**2 - 1868*f wrt f.\nAnswer: 20*f**3 + 2394*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, 0.5, -4, 304.6, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1247 (b) -128 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {g: 4, k: 3, p: 3, e: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103523003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*a + 135*a + 254*a.\nAnswer: 545*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/200646 and -107\/12246.\nAnswer: 2608398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 + -71733?\nAnswer: -71713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -665397.514 + 666059. Let a = 660 - b. Let g = a + -0.054. What is g rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = c + 1, -2*c + 18 = -214*p + 215*p. Solve -16*g = c*g - 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0 + 0*d - 8*d**2 + 5\/2*d**3 - 1\/8*d**4. Let w be b(5). Put -4, 3, w in descending order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -45*g - 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 16. Calculate y(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -25 + 4575\/195 - -1*2. Put x, -45, 1, -2\/3, 1\/4 in descending order.\nAnswer: 1, x, 1\/4, -2\/3, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19337 is divided by 3220.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 2*s**2 - 5*s**2 + 4*s**2.\nAnswer: -3*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**3*m*r**2 - 5*k**3*m + k**3*r - k**3 - 14*k**2*m*r + 3*k*m*r**2 - 15*r**3 wrt r.\nAnswer: 10*k**3*m + 6*k*m - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 574055 divided by -3.\nAnswer: -574055\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 13. Let q(m) = m + 6. Calculate 13*q(s) - 6*r(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*h = -6*a - 5, 0 = 4*a - h + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3364*h**2 + 6894*h**2 - 2784*h**2.\nAnswer: 7474*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -4)*4 + 12\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 - 45*o**2 + 654*o\/5 - 432\/5.\nAnswer: 3*(o - 72)*(o - 2)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t**2 - 9*t**2)*(-44 - 7*t + 44).\nAnswer: 70*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((7\/(-280))\/(8\/(-16)))\/((-14)\/56). Let v(z) = -z + 17. Let h be v(0). Which is the second smallest value? (a) h (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -30*g + 26. What are the prime factors of b(-7)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 4*j - 1. Let o be k(-3). Suppose 3*v + o*v = 0. Solve v = -3*l + 5*n + 26, 3*l = 2*n + n + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438127568 to the power of 1\/3, to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64127\/43552 + -5\/1361. What is the common denominator of q and ((-132)\/(-8))\/((-13)\/((-195)\/(-72)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**6\/120 - 3*t**5\/160 + t**4\/32 + 17*t**3\/3 + 24*t**2. Let v(m) be the first derivative of a(m). Factor v(o).\nAnswer: -3*(o + 1)*(4*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 2211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -69a0?\nAnswer: -6a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -48, -6, 19\/3, -2\/15, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 6*g - 4)*(-1 - 3 + 5)*(2 - 3 - 2) + 2*g + 0*g - 3*g + (2 - 3 + 2)*(-g + 0*g + 0*g).\nAnswer: 7*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10786.60044 rounded to the nearest ten?\nAnswer: 10790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2496 divided by 6\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 20 = 2*x, 14*f - 8*f - 4*x + 52 = -f + 8*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1\/3, 38, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 165 + 168 + 183 + 4673*x - 691.\nAnswer: 4673*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*s + 5*j, -133*s + 10 = -137*s - 2*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48597 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -22 - -14 - (-2 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((312\/(-169))\/2)\/(1054\/806)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, 2, 25, -5, 9, 0 in decreasing order.\nAnswer: 25, 9, 2, 1, 0, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/6 - 108*f**3 + 40580*f**2\/3 - 407376*f - 16608280\/3 = 0. Calculate f.\nAnswer: -10, 82, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -y + 23 - 1, 4*f - 14 = y. Solve -2*t = -5*w - 2, -2*t - y*w + 2 = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -195*x - 258. Let k(m) be the second derivative of 488*m**3\/3 + 644*m**2 - 76*m. Let u(z) = 2*k(z) + 11*l(z). Differentiate u(s) with respect to s.\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 u when four letters picked without replacement from ppuppuuuttp?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -559692*i**2 - 1006151 wrt i.\nAnswer: -1119384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*g + 33 - 37, -2 = l + 4*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 8217 = 5*h + 8205, -20*h = -s - 84 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 135308 + 135494 = 0 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 926\/1389 - ((-1216)\/(-3))\/(-4). Solve -36 = 23*o + y for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide -7*274\/(-1) + (-235)\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a - 2*i + 1 = 0, -4*a = i + 7. Let y be (1\/a)\/((-19)\/285). Let r = 2 - -2. Solve -h - 12 = -y*p, -p - r*h = h - 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4416)\/40*20\/(-6) is divided by 77?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 2. Let y be u(-2). Let l = 5 - y. Let r(g) be the first derivative of 3*g**2\/2 - 7*g - 13. Give r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61.93 and 12.\nAnswer: 73.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*n - 33 = -3, -5*d - 2*n + 2 = 0. Suppose d = 5*c + 52. Let a be ((-12)\/7)\/(c\/35). Solve a*f - 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078069 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.028 - 0.018. Sort -0.01, z, -0.4, -4\/7.\nAnswer: -4\/7, -0.4, -0.01, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659382.2cm in kilometers?\nAnswer: 6.593822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -21*b + 1. Let s be i(-5). Suppose -4*a = 2*v - 48, -4*a + a = 5*v - s. Suppose v = -5*n + 5*l, -3*n + 0 = 2*l - 8. Solve n*z = -5*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-18)\/(-14))*7. Suppose -165 = -2*o + q*s - 53, 0 = -2*s. What is the remainder when o is divided by 18\/(-126) + (-134)\/(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14824 - -14824. Let n(p) be the first derivative of q*p**2 + 17*p + 25 + 0*p**3 + 11\/2*p**4. Differentiate n(k) with respect to k.\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18256267, -18256271, -18256277, -18256285, -18256295, -18256307, -18256321?\n\"Answer: -l**2 - l - 18256265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 2*n - 4. Let p be (3\/15)\/((-2)\/(-4))*5. Let x(w) = 5*w**2 + 2*w - 5. What is p*x(m) - 3*u(m)?\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3373 divided by 1?\nAnswer: -3373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 2*m - 27 = 0. Let s(k) be the second derivative of 0*k**m + 0 + k + 1\/2*k**2 + 1\/4*k**4. What is the derivative of s(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = 3*h, h - s = -3*s + 7. Suppose -p + h*p = -z + 27, -3*p = 5*z - 33. Find the third derivative of -d**p - d**2 - 2*d**6 + 2*d**6 wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 99, 193, 319?\n\"Answer: 16*v**2 + 14*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 20?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -27*u + 27. Determine g(4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 + (-12 + 8)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 2*p**2 + 3*p - 7. Let o be b(6). Is o < -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2314 - -16201\/7. Let h = -6.8 + -1.2. Let k = 8.2 + h. What is the nearest to 1 in k, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 2*j**2 + 4*j + 8. Let i(m) = -2*m**3 + m**2 + 5*m + 7. Let b(s) = -3*h(s) + 4*i(s). What is the units digit of b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302301 (base 9) to base 12.\nAnswer: 87601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = 0, -2*c + 4*k + 11652 = -6260. List the prime factors of c.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 21*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 66*j**2 - 945*j - 3888.\nAnswer: -(j + 9)**2*(j + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38325073.\nAnswer: 73, 525001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/64 of a second?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 133*c. Let g(v) be the third derivative of -7*v**4\/24 + 10*v**2 - 11. What is -77*g(u) - 4*t(u)?\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 3.32908754268?\nAnswer: -4.67091245732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) 1 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*q + 2 = 8*t - 129*q, -4*t - 4*q = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 59*x + 1 + 5*x - 5*x.\nAnswer: -59*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0 + 2*a - 1\/10*a**5 - 1\/7*a**3 + 2\/7*a**4 - 2\/7*a**2. Factor r(j).\nAnswer: -2*(j - 1)**2*(7*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/12536 and -145\/21096.\nAnswer: 33057432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4667597, 1, -32 in ascending order.\nAnswer: -32, 1, 4667597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*w**3 + 37*w**3 + 41*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 + 0.22. Let n = v + -0.15. Let x = -44.31 - -49.31. Which is the biggest value? (a) 0.3 (b) x (c) 2\/9 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 - 3*v**2 - v - 4. Let m be k(3). Suppose -10*w + 20 = -m. Suppose 337 = w*f - 255. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h, 1037*o + 16 = 1041*o - 2*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.1. Let t = 14 + -13. Put z, -5, t in increasing order.\nAnswer: -5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/22? (a) 0 (b) -1\/2 (c) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*u = -30, 945*u = -14*m + 949*u - 90 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 2*o)*(-4*o**4 + 6*o**4 + o**4) - 6*o + 4*o**5 + 6*o.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 721809, 721838, 721867, 721896, 721925, 721954?\n\"Answer: 29*w + 721780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.7. Let x(m) = 36*m + 109. Let t be x(-11). Let j = t + 289. What is the second smallest value in j, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 539\/8 - 6077\/88. Calculate the common denominator of 131\/90 and g.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(5 + (-261)\/48).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7460, 7463, 7466, 7469, 7472?\n\"Answer: 3*b + 7457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66582*i = -66584*i + 118 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*k + 13, -3*s - 5*k + 49 - 17 = 0. Let d(w) = w**2 - 16*w - 47. Calculate d(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.61, -5, -1\/86 in decreasing order.\nAnswer: 0.61, -1\/86, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*r + 117 - 45, -4*i + 87 = -r. Let p = 2 - 3. Let l be (3 - p*18)*1. Calculate the greatest common factor of i and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 8*w + 56. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/113 and 11.08683 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 10*s = 468. Let q(u) = -u**3 + 12*u**2 + 20. Let h be q(s). Solve -4*w = -h, -5 = 8*d - 3*d + 3*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 6*o - 7*o + 15*o as s + i*o and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -937*g + 4*y = -942*g + 120000, -5*y - 72000 = -3*g. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 0*l - 3*l)*(-22 + 4*l + 11 - 8) in the form w*l**2 + b*l + g and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 7*b**2 - 10*b + 5. Calculate i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1110539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Suppose -2*p + v*p = 32. What is the smallest common multiple of p and 2\/(-4 + 82\/20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*136459\nAnswer: 13645.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -362212?\nAnswer: -362211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/9708 and 137\/432.\nAnswer: 349488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*t - 91 + 76, 12 = -4*r. Let u = 250 - 245. Solve t = -m + 4 - u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 62. Is 32 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001011111000110010 (base 2) to base 14\nAnswer: -813c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times 35?\nAnswer: 4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 10*h - 16. Let o(r) = r**3 - r - 11. Let b be o(0). Let l be v(b). Let m(q) = -q**2 - 4*q + 1. Determine m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*n + 47*n - 112*n)*(-3 + 3 + 2) to the form f*n + m and give f.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r**2. Let v(m) = 10*m**2 - 4*m - 2. Let y(a) = 162*a**2 - 66*a - 33. Let l(c) = -33*v(c) + 2*y(c). What is l(t(z))?\nAnswer: -726*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 140*z + 143*z = -2*x - 30, -z + 85 - 108 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cspspsppsps. Give prob of picking 1 c, 1 s, and 2 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**14\/o)\/o*o)\/o)**11\/(o\/(o*o*((o\/o**22)\/o*o)\/o)*o*o**(-1\/8)) assuming o is positive.\nAnswer: o**(969\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 7) to base 5\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*((-3)\/6)\/(-1). Suppose -5*i + 4*m + 3 = -4, -3*m - x = 0. Let k be ((-9)\/(-45))\/(i + 0). Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 2*x**2 - 3*x + 2. Let b be o(2). Let p be 3 - 3 - b\/2. Suppose -5*i - 5*m = -10, -2*i + p*i = 4*m + 16. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/3 - 13. Let t = -1 - 3. Sort t, k, 1 in increasing order.\nAnswer: t, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -18 (c) -5 (d) 0 (e) 1\/2 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.53, 3, -10?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 7:55 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 78*s**2 - 10*s + 3. Let t(z) = 26*z**2 - 3*z + 1. Let w(o) = -2*j(o) + 7*t(o). Is 6 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*b + 3, 5*q + 2*b = -b - 3. Let y(u) = u + q*u + u. Let h(j) = -5*j**2 - 302 + 302. What is h(y(l))?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75761118?\nAnswer: 2, 3, 71, 59281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1 + (17 - 9)) - -14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, 2\/15, -96\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6 = 3*l, -3*l = -3*g + 2 - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1765 - -1769. Let s be (12\/7)\/((-39)\/(-182)). Solve 3*f + 17 = -5*b, -b - s = -o*f - 0*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*w = -112 - 45, -w = -5*g + 412. What is the remainder when g is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 267606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206a0 (base 12) to base 9.\nAnswer: 64213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5331014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-11)\/165*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**3 - 5*v**2 + v + 6. Let h be f(3). Suppose 4*c + 11 = -4*m - 1, 0 = -4*c - 2*m - 6. Suppose 7*y + 2*y - h = c. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 440, 1096, 1772, 2462, 3160, 3860, 4556?\n\"Answer: -p**3 + 16*p**2 + 615*p - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.053.\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 times -11?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 less than or equal to 1843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (72 - 37) - -41.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5221 divided by -5.\nAnswer: 5221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2244338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Let z be 6\/(-4)*12\/(-9). Let o(a) = a**2 - 7*a**2 - z*a**2. Give o(g(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2155, 4419, 6671, 8905, 11115, 13295?\nAnswer: 15439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -21) + -23 + 3 + -7 - (3 + 0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -126*s + 35*s + 578 - 5086 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -2.2, 0.009, 1, -3\/5, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from wmxmuqwumwuwu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/(198\/41976).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10262064 is divided by 4037?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 10\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -7, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) + 1 + 4)*-1)**2.\nAnswer: 300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((-21)\/(-7))*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43529 + 0.4?\nAnswer: -43528.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18884 is divided by 9437.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**5 + 3327*z**3 - 38430960*z**2?\nAnswer: 240*z**2 + 19962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2587*x + 43*x**2 - 2587*x)*((x - x + 2*x)*(3 - 5 + 1) + 0 - 2*x + 0) to the form z*x**2 + n*x + h + l*x**3 and give l.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 877500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -14)*(-1)\/2. Suppose f = -10*d + 1 + 9. What are the prime factors of (-1)\/6*d - 651\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 19*n - 137. Let j be o(7). Which is the closest to 0.2? (a) -3 (b) 0 (c) j (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 1 - 3*q**3 - 2*q**3 + 4*q**2 + 4*q**3 + 8*q. What are the prime factors of r(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -654 + 653. Let s(o) be the third derivative of -31*o**4\/24 - 2*o**3\/3 - 3*o**2. Calculate the least common multiple of 7 and s(d).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -434, -875, -1316, -1757?\n\"Answer: -441*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(204) - 2*sqrt(204)))\/((-2*sqrt(144))\/sqrt(12)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 245 = -58. What are the prime factors of u?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8822929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1279755979 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 + 0.19. What is the closest to 1\/2 in 5, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-122 - (-136 + 10))*3\/84\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c. Let i(m) = 4*m. What is y(i(x))?\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -94*n - 1982. What is c(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51309 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 37*p**2 + 34*p + 78. What is n(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -873, -1321, -1777?\nAnswer: -2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p - 4*y, -p + 2*y + 15 = -0*p. Suppose -5*g + 4902 - 1328 = -3*k, -p*g = 5*k - 3550. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 21.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546731 is divided by 13810?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(9)*2*-4))\/(5*(sqrt(648)*-2 - sqrt(648))).\nAnswer: sqrt(2)\/1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoi when three letters picked without replacement from {q: 3, i: 4, y: 4, o: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -10*c - 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + 6*o)*(0*o**3 + o**3 + 0*o**3) + (-3*o + 3*o - o)*(-o**3 - 3*o**3 + 6*o**3) + 0*o**4 - 2*o**4 + 3*o**4.\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 1422, 2124, 2800, 3444, 4050, 4612?\nAnswer: 5124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -4.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 9001350\nAnswer: -297044550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 54086795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-60) + 5\/((-175)\/3). Which is the smallest value? (a) 3 (b) q (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -385 - -388. Which is the closest to 3? (a) 5 (b) 2\/7 (c) r (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g + 1. Let l be v(0). Let q(c) = -5*c**2 - c. Let m be q(l). Let p(t) = 2*t + 5. Give p(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*v + 43, -4*v - 2 = 5*x + 33. Let f be x\/33 - 278\/(-6). Suppose -5*q + f = -3*m, q - m - 12 = m. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 2*r**3 - 5*r**3 + 3*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6390108 litres?\nAnswer: 639.0108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2 + 1, -5*d - 2*w = -17. Suppose 0 = d*u - 162 - 174. What is the greatest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 29 = 2*c + 5*q, c - 16 = 5*q. Let j(i) = -27*i**3 + 1. What is j(c)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88610717 or 88610714?\nAnswer: 88610714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -20010?\nAnswer: -20003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/112)\/(3\/24)*(-36)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 4. Let b be w(5). Suppose 0 = -14*i + 10*i - 24. What are the prime factors of b*(-16 - i\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaaa when four letters picked without replacement from aiaaaiaaaaaaaaai?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 22*o**2 - 58*o**2 + 19*o**2 - 1 + 24*o**2. Let g be c(-1). Solve -g*d + 14 = 3*p, 0 = 3*d - 0*d - 4*p - 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 198 = 2*s, -3*u - 27*s + 28*s = -147. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2260 - 10?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*-2)**2 + 5)*-1.\nAnswer: -6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 4, d: 1, e: 2, j: 1}. Give prob of picking 1 d and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166 + 26. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12028\/96)\/(-31) + (-1)\/8. Let p = -29.674 + -0.426. Let f = p + 30. Which is greater: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - v + 4*v + (1 - 5 + 1)*(-v - 2*v + v))*(-v**2 + 0*v + 0*v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 8\/45 (c) 349 (d) -2\/1439\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**6)**(-6)\/(u**(-19)*u**(1\/29)) assuming u is positive.\nAnswer: u**(1246\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 500464 (base 7) in base 14?\nAnswer: 229db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/216*-10*8\/(-15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 24. Suppose 0 = -3*f + 4 + r. What is the derivative of 3 + 14*k**4 - f*k**4 + 5 wrt k?\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -31499\nAnswer: 2\/31499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13446 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*f + 30, 0 = 4*p + 2*f + f - 40. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.97 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 977368 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 17. Suppose -f + 15 = z - 2*z, 2*z = -f + 24. Calculate the remainder when 10\/w - (-107)\/3 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -21*r. Let o(q) = -29*q**2 + q - 4498. Calculate j(o(c)).\nAnswer: 609*c**2 - 21*c + 94458","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 6*i + 40. Let d be y(10). Solve -2*u - 2 = -u - q, 4*q + 4 = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9*(-4)\/84 + 600\/21 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*63\/28*-1)\/(5\/(-4))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 1\/4, -0.2, -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020269*j - 4040508*j + 2020239*j + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -26*i**2 + 11*i. Let c(p) = -5*p**2 + 2*p. Let n(f) = 11*c(f) - 2*g(f). Let z(o) = o - 59 + 82 + 3. What is z(n(j))?\nAnswer: -3*j**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 69 = -21*o - 264 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -910 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.53 - 3.8. Let p = f - -0.17. Which is the closest to 0? (a) 2 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162385 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145503 is divided by 2080.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.6 (b) -1 (c) 1.09 (d) 43 (e) -2 (f) 0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 22?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 19 = -4*p + 10*s, -3*s = -15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469369.9m to centimeters.\nAnswer: 46936990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjkjjjjk. Give prob of sequence kj.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 2*l**2 - 9*l - 14. Determine r(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161876*q**2*t**3 + 1673*q**2*t + 2*q**2 + 8*t**5 + 1620*t wrt t.\nAnswer: 971256*q**2*t + 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.63602 - -2.522. Let s = d + 0.114. Round s to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100101111110011 + 0?\nAnswer: 1000100101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424162279?\nAnswer: 97, 223, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -120*v + 1684. Let k be b(14). Sort k, 9, 482, -2.\nAnswer: -2, k, 9, 482","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7330\/(3 - -2))\/1 - 2. Suppose -2*a + a = -2*d + 732, i = 4*d - 5*a. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/19756 and -69\/4.\nAnswer: 19756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)\/l*l)**(6\/5) assuming l is positive.\nAnswer: l**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**2 + 0*s**3 - 28 - s**3 + 23 + 10*s. Let d be u(-10). Let m = d + 9. What is the biggest value in m, -1\/4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 - 9755.\nAnswer: -9831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -1895, -2, -13, -5 in descending order.\nAnswer: -2, -3, -5, -6, -13, -1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9920 and 62868.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**9\/45360 + g**8\/6720 - g**6\/540 - 13*g**4\/6 + 37*g. Let f(w) be the third derivative of o(w). Factor f(z).\nAnswer: -z*(z - 2)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3865308468 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696 by -1181609.\nAnswer: -696\/1181609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -5) + -3 + (-12 - -11). Which is the fourth biggest value? (a) o (b) 0.1 (c) -10 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/3)*i*i**(-1\/10)*i*(i**(-2))**(22\/3)*(i*i**(1\/3)*i)**35\/(i*i**9\/i*i*i*i**(3\/5)\/i) assuming i is positive.\nAnswer: i**(1769\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -737 - 633. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n - 27. Let p be w(-3). Suppose 5*x - 2*x - 24 = -r, r - 3*x = p. Solve -3*l - r = -4*v + l, 0 = -5*v - l + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 12 = 2779*x - 2780*x, -r + 3 = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2. Let u(d) = 0*d + d + d. Calculate i(u(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6807 + 6977. Calculate the highest common divisor of n and 9435.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + 6461\/497 + 1*7.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/4 + 23041*i**2\/4 - 80677*i\/2 - 103716 = 0. Calculate i.\nAnswer: -23048, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77079486 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 11*a - 11. Let m(b) be the first derivative of b**3\/3 - 2*b**2 + 4*b - 2. What is 11*m(p) + 4*o(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.144.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let t(d) = -7*d**2. Calculate s(t(j)).\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -7*g**4\/24 - g**3\/3 - 10*g**2. Let c(t) = -85*t - 25. Determine 2*c(w) - 25*y(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 294*3*2\/64*18. Let q = p + -497. Are -2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17619 (b) 5\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 3\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 284203333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19537155 is divided by 610536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(540))\/((sqrt(297)\/(-2*sqrt(11)))\/(sqrt(81)*-6)).\nAnswer: 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7290144 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-4)\/(8 - 4). Suppose 4*q = -2*w + 98, h*w - 96 = -0*w - 2*q. What is the remainder when w is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -26. Let t be (1 - o)\/((-4)\/16). Suppose t*g - 2*a = 72, 4*g = 3*g + 5*a + 18. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 1976, -5 in descending order.\nAnswer: 1976, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 222 - 171 = 0. Solve t = -s - 2, -25*s + 4*t + j = -26*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143, -8529, -28569, -67581, -131883?\nAnswer: -227793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -50 (b) -4 (c) 7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 126, 267, 464, 717, 1026?\n\"Answer: 28*w**2 + w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 757*f = -928*f + 15165 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556361 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -13*n**3 - 156*n**2 - 221*n - 7. Let a(v) = -4*v**3 - 52*v**2 - 63*v - 2. Calculate -7*a(l) + 2*d(l).\nAnswer: 2*l**3 + 52*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318346, 636737, 955130, 1273525, 1591922, 1910321?\nAnswer: 2228722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * -0.4.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 2. Let j be u(-2). Find the common denominator of (j + -1)*(-3)\/18 and 59\/(-44) - (-13)\/52.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -8) + 3 + (-6300)\/732. Which is greater: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80487 divided by -3.\nAnswer: -26829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)\/((-18)\/(-2061)). Let p = 1891\/8 + y. Let u = -2027\/8 + 9929\/40. Find the common denominator of u and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 h when four letters picked without replacement from {g: 3, n: 7, h: 3, p: 7}.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/64 and -111\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 82 + 254. List the prime factors of 424\/84*w + (-8)\/28.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 10019 - 7*l**3 - 22295 + 12276.\nAnswer: -7*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -12*y, -3*s = -3*y - 15113 + 1463. What are the prime factors of s?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261194.4 times -16\nAnswer: 4179110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*g**3 + 151*g**2 - 5*g**5 + 4*g**5 + 18*g**4 + 81*g - 169*g**2.\nAnswer: -g*(g - 9)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 78, 33, -14 in ascending order.\nAnswer: -14, -2, 33, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 71*f**3 - 14*f**2 + 36*f - 458. Is h(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**4\/24 + 8*q**3\/3 - 2*q**2. Let u be n(12). Solve 4*a = u, -5*a = d - 0*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001725 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 + -10610105?\nAnswer: -10610163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -0.1102723.\nAnswer: 0.7719061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/((-4)\/8). Suppose 0*i - 24 = -b*i. What is the highest common divisor of i and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4546426*g**2 + g - 4546420*g**2 - g + 13639267*g**2 - 4546419*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-16)\/20 + 19\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6437 divide 906574206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*r + 4*f, 4*r + 25 = -f + 107. Solve r = -12*j + 19*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g + 9. What is the smallest common multiple of 9 and (-1 + 10\/g)\/(4\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17328137, 17328128, 17328119?\n\"Answer: -9*m + 17328146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5963*r + 298213. Give m(50).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from fefbfmmobfmmeffoo.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 11*w + 15. Let j be ((-3)\/(-6))\/((-4)\/(-48)). Suppose -y + j*y = 55. Does 9 divide x(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 x, and 1 m when four letters picked without replacement from {r: 8, m: 2, x: 1, w: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1101, -8695, -29271, -69309, -135289?\nAnswer: -233691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 146 and 147 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 323*o - 2*o**2 + 8*o**2.\nAnswer: 4*o**2 + 323*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(288) - sqrt(288)*-1*-5 - sqrt(288))**2 + (-5*3*sqrt(2)*4*5)**2.\nAnswer: 144000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r + 13135 + 2*r - 13135. Let a(m) = -m. What is -4*a(q) - 5*n(q)?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 11)*(-4*a**2 + 4*a**2 + 2*a**2) + a - a - 2*a**2 + 22*a**2 + a**2 - a**2 to k*a**2 + u*a + h and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 23*p = 27. Solve -3*f - 2 = -5*u, -p*u + f = -4*f + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87231 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 277.41+-1.9\nAnswer: 275.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = h - 4, -2*h + 16 = 5*t + 2*h. Solve -4*w - 4*r + 24 = t, -2*r + 0*r + 24 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -5*2*sqrt(77))\/sqrt(11).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2400 and 9600?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*z - 179, -85 = 3*a + 3*z + 23. Let w = 46 + a. Suppose -j - 352 = -w*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.3 * -249\nAnswer: -3311.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3940*f + 135. What is the thousands digit of c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2.24 (c) -0.82 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 50*n + 133. Let g be v(5). Let s = g - 365. Calculate the highest common factor of 234 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a + 15 - 32 = -119. Suppose -6*b = -2*b - 364. Solve a*f - b = -85 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879036807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = 0. Suppose 4*v - 146 - 34 = b. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675 (base 10) to base 15.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1526 - 1518.43. Round h to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(931))**2)*6).\nAnswer: -29184 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 56 = 3*j. Calculate the least common multiple of 12 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8353069l?\nAnswer: 835.3069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 23873*u + 6978799. Calculate j(-296).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26497901*k**2 + 11449*k + 267 wrt k.\nAnswer: -52995802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/(c\/(c\/c**(-6\/5))))\/c)\/c)*c*c**(-1\/17)*c*c)**(-12\/7) assuming c is positive.\nAnswer: c**(-3816\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.31 less than 17\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43156804 a multiple of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/20 + 41*k**2. Let a(j) be the third derivative of j**4\/24 + 2*j**2. Determine n(a(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 100023201?\nAnswer: 100023200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let b(k) = 61*k**2 - 3. Determine q(b(n)).\nAnswer: -122*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-4))\/((-2)\/124). Let b = s + -17. Let k(v) = -v**3 + 3*v**2 + 6*v - 3. Let o be k(4). Calculate the greatest common factor of o and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {t: 1, f: 2, z: 1, g: 1, j: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(2*v - v + 3*v + v + 0*v + v + 4*v - v + 3*v + (-1 + 1 + v)*(0 - 1 + 3)).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3221 - 2.306.\nAnswer: -3223.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16132 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = -4*j, 3*j + 3*c - 2 = 2*j. Let i = 745\/8 + -93. What is the nearest to -2\/5 in i, -1, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -12. Suppose -o = -5*b - 23, 1 - 10 = o + 3*b. Let x = o - 1. Calculate the lowest common multiple of x and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.6 (b) 0.5 (c) -3 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/18 - 14\/6. Suppose -2*c = c + 3*s + 15, 3*c = -2*s - 14. Let z be 12 + 1\/(i\/c). Do 13 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) + (-12)\/(-15). Let x = 0.5 - 0.1. Let p = 0.7 - x. What is the closest to y in -5, p, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j - 1. Let f(c) = -2*c**3 - 3*c + 11. Let u(i) = f(i) + 3*o(i). Let p(d) be the first derivative of u(d). Let n(v) = -2*v. Determine p(n(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1504657*o**2 - 241987*o.\nAnswer: -3009314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*z - 209*z - 14 = 0. Let n = 3 - 1. Find the third derivative of d**6 + 58*d**z + 2 - n - 54*d**2 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.561 * -5527\nAnswer: 63897.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 3*a. Let h(w) = 4*w**2 - 3*w. Let r = 13 + -14. Let n(y) = y**2. Let z(g) = a*n(g) + r*h(g). What is the second derivative of z(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/75 and -127\/210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 127 * 0.3\nAnswer: 38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*m + 37. Sort m, -0.2, 0.3, -4 in increasing order.\nAnswer: m, -4, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 1098, 2684, 4820, 7512, 10766, 14588, 18984?\n\"Answer: c**3 + 266*c**2 + 237*c - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13\/(v\/(v*v**(7\/8))) assuming v is positive.\nAnswer: v**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 5*u - 7. Let v be x(-3). Let d be -5 + 0 + (-1)\/v. Is (331\/(-4) - 0)*d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-9))\/(2091\/83394*113).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 178\/(-8)*(-13)\/(-52) and -115\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/120 and -73\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**13)\/j*j)\/(j\/(j\/(j\/(j**(-37)\/j)))) assuming j is positive.\nAnswer: j**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcs when three letters picked without replacement from xcbbrxsscscc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6.79 (b) -2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 466149.7 litres?\nAnswer: 466149700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((((-17088)\/(-36))\/(-8))\/(28\/14))\/(6\/18)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2. Let k(p) be the third derivative of -11*p**7\/2520 - p**5\/30 + p**4\/12 - p**2 - 27. Let g(i) be the third derivative of k(i). What is o(g(a))?\nAnswer: 1936*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(441)*-1))**2.\nAnswer: 11\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16189?\nAnswer: 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -720 + 1042. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*i + 242 - 94, 0 = -i + 3*t + 52. Solve 13*z + 116 = i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(-3 + (4*((sqrt(49) - 2*sqrt(2401)) + sqrt(49))\/((sqrt(21)*4)\/sqrt(3)))**2).\nAnswer: 12060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*j**5 + 3*j**2.\nAnswer: -5160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12 = -2*m + 3*s, 2*s + 12 = 4*m. Suppose 256 = 8*p - 2272. Suppose m*y = 2*g + 157, 4*g - 4*y + p = -0*g. Round g to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.7005?\nAnswer: 1.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.48596 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15333029, -15333059, -15333109, -15333179, -15333269?\n\"Answer: -10*b**2 - 15333019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120194187 to the power of 1\/2, to the nearest integer?\nAnswer: 46046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 7469?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1994 + 4701. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -4.7. Let f be (-2)\/3*(-5)\/4. What is the third biggest value in f, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 19. Suppose 5*s - 3*i = 80, -3*s - i + 14 = -34. Solve 6*g - 5*h = d*g - s, -5*g - 4*h = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 882620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 4:32 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 6824*h**3 + 118*h**2 - h - 4 + h**4 - 6821*h**3 as c*h + p*h**4 + g*h**2 + l + n*h**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -328, -446, -562?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:53 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-12)\/18*-3. Let j(r) = -r**2 + 4*r + 6. Let z be j(5). Let f(m) = -1 + 7 - z + m - 2. Let v(g) = -2*g - 4. Determine d*v(i) + 5*f(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**6\/200 - 3*a**5\/4 + 125*a**4\/8 - 10*a**3\/3 - a - 133. Let d(r) be the third derivative of l(r). Factor d(p).\nAnswer: 3*(3*p - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/6)\/(-1 - 25\/(-10)). What is the third smallest value in 1, s, -0.055?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*c - 22*a + 13*a + 7*a - 2 = -15, 0 = 45*c + 2*a - 409 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*q - 6*a + 3*a + 3, 3*a = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 5*t**2 - t - 9. Let z be s(4). Let d(r) be the third derivative of 0 + 2*r**2 + 0*r - 1\/120*r**5 + 0*r**4 + 1\/12*r**z. Factor d(u).\nAnswer: -(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + -8 + 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -215\/78?\nAnswer: -215\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 643 + -627. Suppose 7*i = -l*i. Solve 5*a + 15 = -5*n + a, i = -a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - 0.6. Is g at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + 2 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391135 to the power of 1\/2, to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.054, -1, -2\/21, -2\/11, 0.26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4480*g - 9268. What is the thousands digit of d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 + -6.3. Which is smaller: b or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 303054 and 11436.\nAnswer: 606108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13071 - 5918. What are the prime factors of x?\nAnswer: 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 12*o - 1956. Let k = 1435 - o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 90\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 189678*z - 2465812. Calculate u(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 0*q**2 + 91*q**3 + q**2 + 6*q - 90*q**3 + 1 - 2*q to t*q**2 + h + i*q + c*q**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01008 - 463.10008. Let l = d - -463. Let h = -0.1 - 0.1. What is the closest to 1\/4 in 0.5, l, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*x - r + 21, -5*x - 3*r = 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 872775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 12\/11, -262?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*d - 32, 2*n - d = 2*d + 1. Suppose 0 = -3*p - 15, n*p + 30 = 5*g + p. Solve g*h = -2*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4 - 0. Suppose -i + 2968 = -3*i + n, -i = -l*n + 1490. Let z be -1*4 - 5940\/i. Is z not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 * 37.63\nAnswer: 0.79023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399734 - 201915. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -244, -245, -246, -247?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24055 (base 10) to base 7.\nAnswer: -130063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*b - 37*b - 324. Solve b*q + 28 = -2*d, 3*q = 2*q - 3*d - 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 6 + 1\/2*d**2 - 7*d. Let r = -2 - -7. What is z(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -34, -115, -228, -373, -550, -759?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (19 - (-5 + 4 + 13)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-18)*(-24 - (-376)\/16). Which is the closest to s? (a) 3 (b) 5 (c) 14 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 8*m**2 - 6*m + 7. Let o be g(8). Let v = o - -46. Suppose 2*h - 115 = -v*t, -3*h + 5*t - t + 115 = 0. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n - 66*n - 26*n.\nAnswer: -158*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - d = -90, 2*a + 3*d - 116 = -3*a. What is the remainder when 128 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 166864476404*p + 166864476404*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11834, -94823, -320096, -758801, -1482086?\nAnswer: -2561099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8380*h**3 - 8382*h**3 - 8381*h**3 - 8383*h**3 + 41912*h**3 - 8385*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/2)\/(9\/(-5616))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:12 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 796515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341802 and 45060897?\nAnswer: 270365382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -670a4a (base 15) in base 11?\nAnswer: -2856194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/8 (b) 4 (c) -0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 60*m + 195. Let g be f(4). Which is bigger: g or -18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/3 + 94*v - 7675\/3 = 0.\nAnswer: -307, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-56))\/(-1)*8)\/((-219)\/292)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4343633*k**3 + 3240120*k?\nAnswer: -26061798*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112026101 (base 7) in base 4?\nAnswer: -122003213120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318654052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-7 - 5 - 7)*(-38*m**3 - 10*m**4 + 38*m**3).\nAnswer: -570*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5957915 and 6970?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21*n**3 + n**2 - 8*n + 12. Let r be i(4). Suppose 2*f + 209 - 745 = -2*j, -5*j + r = 2*f. Is j a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/42 + 6*r**3\/7 + 32*r**2\/7 - 603*r. Factor y(k).\nAnswer: 2*(k + 2)*(k + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -17. Suppose -12 = o + 2*o. Let i = o - n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/15*(-10)\/(-48)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let w be 5*1 + -4 + 4. Let t(v) = v + w*v - 2*v. Determine t(q(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 34 = 3*j, 100*j - 104*j = 4*u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-37))**(5\/2)*(c\/(c**34*c))**(1\/39) assuming c is positive.\nAnswer: c**(3671\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19844 and 902?\nAnswer: 19844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/7)\/(2\/(-24)))\/(-122 + 78897\/637).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s**(3\/2)\/s)))\/s)**(-2\/9)*((s*s**(-1\/6))\/s)\/(s*s*(s*s**8*s)\/s*s) assuming s is positive.\nAnswer: s**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.3, 1\/2, 7, 20754?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12.8, -0.8 in descending order.\nAnswer: 12.8, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9255.331 litres in millilitres?\nAnswer: 9255331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6945)\/6 - (-27)\/18. Let f = -628 - s. Is f a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -5, 3, 250, 4\/3, -0.2, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -74.7 (b) -15 (c) -720 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/16 - (-12)\/((-1344)\/(-253190))?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17589, -35141, -52693, -70245?\nAnswer: -87797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/5652 and -85\/8.\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -568*l - 3965. Let o be t(-7). Let x(m) be the second derivative of 0 - 1\/30*m**6 - o*m + 1\/12*m**4 + 1\/20*m**5 + 0*m**2 - 1\/6*m**3. Factor x(u).\nAnswer: -u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 6, 34, 82, 156, 262?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 50. Suppose 17*t - o = 23*t. Let m be (1 + 0)*(3 + -4)*t. Solve 0 = -k - m + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69518851.\nAnswer: 69518851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 0*p**2 + 0*p**2)*(23*p - 2 + 18*p - 16*p)*(8 + 1 + 21).\nAnswer: -3000*p**3 + 240*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137.21 + -136. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489296 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:32 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4200, -1373, 2\/79, 1, -1 in increasing order.\nAnswer: -4200, -1373, -1, 2\/79, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3 + 4*m**2*n - 9*n + 14 wrt m.\nAnswer: 6*m**2 + 8*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092793034?\nAnswer: 2, 3, 613, 569003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28483885 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131 and 173051.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -347\/3. Let b = 22\/5 - 4. Is p greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 + 8*k**3\/9 - 2*k**2\/3 - 20*k\/9 + 16\/9.\nAnswer: 2*(k - 1)**2*(k + 2)*(k + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 171.\nAnswer: -13\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 6*p + 12*p)*(171 - p - 320 + 160).\nAnswer: -13*p**2 + 143*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 193*u + 9263. Give r(-102).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420998348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5956844056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2905 divide 688381169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125015?\nAnswer: 5, 11, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o. Let q(d) = 97*d. What is q(m(u))?\nAnswer: -194*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 4 + 5 - sqrt(1008)) + sqrt(1008))**2.\nAnswer: 216*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-35)\/(-105)*((-3)\/(-15))\/(217\/35)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5612 - (-10 + (6 - 10)). What is the highest common divisor of 58 and c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-2*(465\/(-10) + -3). Let q = -50 + s. Let m = 87 - q. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*v**2 - 19 + 68*v**2 - 79*v**3 + 11*v**3 wrt v.\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/6 - k**2. Let s(j) be the third derivative of 0*j**4 + 0*j - 1\/20*j**5 + 0*j**3 + 4*j**2 + 0. Determine l(s(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 14*o - 4 = 3*g, -4*o - 4*g = -28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**2. Let x(d) = 16*d - 96 - 3*d + 96. Determine u(x(c)).\nAnswer: -2873*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93.6 + -93.60060744. What is n rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -101122?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 86. Determine s, given that -4*s**2 + 0 + 3*s**2 - 4 - 2*s**2 + z*s = 0.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 109?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -92 (c) 0.4 (d) 1 (e) -1\/7 (f) -2\/135\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 49*b**3 + 21. Let c(z) = -5*z**3 - 2. What is 21*c(d) + 2*w(d)?\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061418 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*a, -a + 2*y - 3*y - 2 = 0. Let n(u) = u - 1. Let b be n(0). Calculate the common denominator of -62\/3 and b + (-72)\/14*a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3914128 and 7328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23915 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-3)\/7. Let a = 4437\/2 - 12443\/6. Let w = a - 146. Put 0.2, q, w in decreasing order.\nAnswer: 0.2, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -18\/5*b**4 - 75*b**2 + 1\/100*b**5 + 0*b + 0 + 2592\/5*b**3. Factor d(k).\nAnswer: 3*(k - 72)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/40*5\/4. Let h be 2\/45*-1*25\/(-5). Let z be 3\/(-4)*(-24)\/(-27). Which is the nearest to z? (a) g (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/30 - 2*b**5\/25 - b**4\/5 + 8*b**3\/15 + 3. Factor n(u).\nAnswer: u**2*(u - 2)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 3, h: 7}. What is prob of sequence xh?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 18. Let l = g + 1. Let y = l - -4. What is the closest to y in 3, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 8*c**2 - 18*c - 11. Let q be d(-8). Sort 1, 12, q in ascending order.\nAnswer: 1, 12, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2423 in decreasing order.\nAnswer: 2423, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + -1 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3514, -6283, -10930, -17455?\nAnswer: -25858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9873?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 0) + 3\/(68040\/(-22683) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j - 3. Suppose 5*t = -0*t + 805. Suppose -7*a = -378 - t. Calculate the remainder when a is divided by z(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 12.7. Suppose -5*t + i - 1 - 8 = 0, 0 = -3*t + 4*i - 19. Which is the closest to 1\/4? (a) t (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 14*j + 18. Let x be t(8). Solve -1 = -s - x*m, 16*s + 4*m = 13*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -440 + 421.4. Which is smaller: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 4*j**2 + 2*j - 1. Let h be q(-2). Solve h*p = -0*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 + 2*o - 65. What is h(-6)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 36 = 4*f, -3*j + 19*f - 17*f = -34. Suppose 0 = 5*d + 2*t + 4, -3*t = d - 1 - 6. Let a = 0 - d. Solve 2 = a*z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - -10 - -29) + (-10 - -5).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22599 * -0.72.\nAnswer: -16271.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from kvkvkvkkkkvwklkvkkkk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + 4 - -51) + (0 - 11) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 125*4\/60)*(-2 - -8). What is the closest to 0 in l, -0.003, -2?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, 1, 0.22, -0.19?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeo. What is prob of sequence eoo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*d**3*t**4 - 2*d**3 - 1534936*d**2*t**2 + d*t - 2*d + 117869*t**3 - 2*t wrt t.\nAnswer: -1320*d**3*t + 707214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from {k: 4, r: 2, q: 1, y: 1, a: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1114 - -122005?\nAnswer: 123123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -941*i + 7840. Does 16 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3797)\/189 - (114 - 134) and 97\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/((-4)\/60)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -12\/13, -84, -0.4, 273?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8439 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -2527?\nAnswer: 12635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*l - 28. Solve -7*a + 34 = -l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -1.3. Let i = -0.44 - -0.46. Which is the nearest to 1? (a) r (b) i (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1048, 1047, 1030, 1009, 996, 1003, 1042?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*a**2 + 0 - 137*a**2.\nAnswer: -147*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 100?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/o**8*((o**5\/o)\/o*o)\/o*o\/(((o\/(o*o**3))\/o)\/o) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugptgjtpgpppjjgjjuu. What is prob of picking 2 u?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -118 (b) 5 (c) -0.1 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:55 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/5 - 88*w**3 - 25106*w**2\/5 + 352*w + 100392\/5 = 0.\nAnswer: -47, -2, 2, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011372935 to five decimal places.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 471.96017 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/55 - (57\/(-11) - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 9. Let l = -19 - x. Is (-1056)\/(-5) + l\/60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211 + 310233223?\nAnswer: 310302100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**6\/180 + 4*i**3\/3 - 41. Let t(x) be the third derivative of w(x). Let l(a) = 7*a + 6. Give l(t(r)).\nAnswer: -14*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7724880 divided by 144?\nAnswer: 53645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 738156916 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24769 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 8528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 3*i - 2. Let s be g(-4). Suppose b + 0 = -s. Let w be (14 - 1) + b\/2. What is the highest common factor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - -6*(-188)\/(-6). Let a = 197 - r. Solve 0 = -a*s - 3 + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2607144 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5)*-195*(-48)\/3960*11\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483442 or -8218500\/17?\nAnswer: -483442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2, -19\/5 in ascending order.\nAnswer: -19\/5, -2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:18 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -22. Let f = 7 + l. Calculate the remainder when 43 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 2*h - 3. Let d be u(0). Let b be (-20)\/(-2) - 6\/d. Let o be (-72)\/(-20) + b\/(-20). Calculate the greatest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34433145 + 1?\nAnswer: 34433146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675302 is divided by 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 77*s**3 + 224*s**2 - 457*s + 219. Let z(n) = 19*n**3 + 56*n**2 - 114*n + 54. Let w(l) = -6*r(l) + 26*z(l). What is v in w(v) = 0?\nAnswer: -5, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 326*n + 2742. Give f(-10).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {l: 1, v: 2, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2 - 261*k + 510 = 0.\nAnswer: 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*f - 8*f**3 + 6*f**3 + 2*f**2 + 244*f to o*f + u + v*f**3 + l*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 4, w: 5}. What is prob of picking 3 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -4. What is the remainder when 37 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12.42 or 1?\nAnswer: 12.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 38 - 19*j + 83 + (-23 - 14 + 19)*(j + 2*j + 0*j) in the form b + m*j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.3. Suppose -3*t - 18 = 5*x, -3*x + 2*t - 9 = -2. Which is the smallest value? (a) x (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42387.05 millimeters in nanometers?\nAnswer: 42387050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8573, 17213, 25853?\n\"Answer: 8640*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15828081 to the nearest integer?\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(17 - 20 + 9)*(5*x - 13*x - 11*x)*(0 + 3 + 0) to r + f*x and give f.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkfffkkkff. What is prob of picking 2 f?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6240 = -5*r + 20980, l = r + 3676. Is l a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-4)\/(-30) + ((-420888)\/180)\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 13*v**2 - 10 - 10*v**2 - 3*v - 23*v**2.\nAnswer: -33*v**2 - 3*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 - (-6 + 6)) + (-19 - -35)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.88 times -2?\nAnswer: -617.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*a + 29, b + a = 4*b - 135. Let m(j) = -10*j + 11. What is the remainder when m(-16) is divided by b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 112. Let l = q + -106. Which is the second smallest value? (a) 1 (b) 0 (c) l (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.119 + -0.019. Which is greater: x or -0.14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-7))\/((-24)\/84). Suppose -k*j + 529 = 89. Suppose -28*w + 24*w + j = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 18, -4 in decreasing order.\nAnswer: 18, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.38 - -2.38. Which is the fourth biggest value? (a) 4 (b) 1\/9 (c) 0.5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 301 - 102)*(6 - 3 - 2).\nAnswer: -2*c + 199","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmg when three letters picked without replacement from gngnmmgnmnnmmgn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2533.1 - 2532.97. What is the nearest to 3 in 1\/5, -1, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/120 + f**5\/6 - 5*f**4\/12 - 4*f**3\/3 + f**2. Suppose -433 - 274 = -136*p + 245. Is 6 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.2. Let m be (3 + -2)*21*4\/6. Suppose -4*i - m = -11*i. Which is the nearest to 1? (a) -3 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**4 + y**3 - y**2 - 1. Let f(v) = -87*v**4 - 5*v**3 + 4*v**2 + 476*v + 4. Let m(n) = -f(n) - 4*i(n). What is the second derivative of m(b) wrt b?\nAnswer: 1092*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let i(d) = 28756*d + 711. Let c(f) = 81*f + 2. Let s(g) = 1422*c(g) - 4*i(g). What is s(v(p))?\nAnswer: 316*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-3 - -1)\/(-2). Suppose 8 = -4*c, z*r - 3*c = 3*r + 25. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 + 460 + 552)*(-1 - 1 + 0)*(4*v**2 - v**2 - 4*v**2).\nAnswer: 1646*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548492 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 1, h: 2}. What is prob of picking 1 h and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4. Suppose -3*d + 3 + 1 = o, 0 = -2*o - 2*d - 8. Let m(z) = -z - 11. What is o*f(l) + 3*m(l)?\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41 - 181*m + 72 - 1 wrt m.\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/8, 4, -0.109 in decreasing order.\nAnswer: 4, 13\/8, -0.109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 124 (b) -4 (c) -6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(-2)\/14 - (-1 - 3). Suppose 0 = -a*h, h - 4 = -g + 5*h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001718837 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 17*y + 66. Let h be t(0). Solve 0 = 10*m + h - 86 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 197480, 394650, 591508, 788054?\n\"Answer: -156*l**2 + 197638*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1444, -29, 5, 1 in ascending order.\nAnswer: -1444, -29, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i - 9. Let v be 60\/18 - 2\/(-3). Suppose -5*l - 12 = -v*w + 27, -i*w + 5*l = -33. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*b - b + 11, b + 6 = 2*x. Let c be b\/(-6)*(-15)\/10. Let o = 0.05 + -0.1. What is the third biggest value in o, 6\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3 - 11 = 0, -2*l + 37 = n + 4*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 731*a - 12975 - 6031 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -518, -4404, -14988, -35618, -69642, -120408?\n\"Answer: -558*k**3 - k**2 + 23*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/51 and -145\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355*t**2 + 6987 - 6989 - 35*t**2 + 3*t to s + f*t + b*t**2 and give b.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 74\/(-10) - (-42)\/105\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 927 = -2607. Sort 5, -5, -2\/3, r in descending order.\nAnswer: 5, -2\/3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, 498, 126, -2, 5 in ascending order.\nAnswer: -19, -3, -2, 5, 126, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911) + sqrt(1911) + sqrt(1911)*-5 + sqrt(1911) + sqrt(1911) - sqrt(1911))\/(sqrt(1536)\/sqrt(8)))**2.\nAnswer: 637\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72873827?\nAnswer: 13, 5605679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6 - 0. Let y = u - -2. Suppose -y*c + 5*t = -40, -c - 2*t = t + 4. Calculate the greatest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 590 and 1770?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 6. Let p be o(-3). Suppose -3*k + 6*k - m = 9, -4*k + p = -4*m. Suppose -4*h + 4*l = -752, k*h - l = 240 + 322. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -t, -c - 101 = -t - 110 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505631 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -4*f + 67. Suppose 2*h = -2*h + 3*w + 1, -3*w = 4*h - 7. Let r be -1*4*3\/12. What is the nearest to h in 0.9, r, f?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*h + 29 = h, 4*f + 5*h - 61 = 0. Let d = 18 - f. Let u = -1\/490 + -957\/11270. What is the closest to 0.1 in d, u, -3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380.342nm in centimeters?\nAnswer: 0.0007380342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1855 + 2914. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -139 + 3?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -37. Let x(m) = -2*m + 7*m - m - c. Let h(g) = 4*g - 5. Calculate 6*h(z) - 5*x(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*i - 2*b, -i - 5*b = i - 74. Calculate the remainder when i is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 9*t - 1. Let z = 73 + -77. Let d be (18\/z*-1 - 4)*-18. Give s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138199, -138201, -138203?\nAnswer: -138205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-7) + (-15)\/35. Let t(y) = -3*y. What is t(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 73 (b) -2\/15 (c) 4 (d) -3 (e) -2\/245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-3) - (-1504 - (-5 - -7)). What is the greatest common factor of 56 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 2*j + 4*j - 156 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -966380580 divided by 6.\nAnswer: -161063430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9113489ug to nanograms.\nAnswer: 911.3489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23790 and 4193280?\nAnswer: 255790080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -20753700.7 to the nearest 100000.\nAnswer: -20800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Suppose r = 2*z - 0 - 8. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/104*2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 != -118613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5798 + 4095 = 481*a - 1764 + 29883 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3598 - 3594. Sort 0.3, -4, 0.08, r in increasing order.\nAnswer: -4, 0.08, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 3490*z**3 - 3505*z**2 - 6990*z.\nAnswer: 5*z*(z - 2)*(z + 1)*(z + 699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 208*i**4 + 4032*i**3 - 161912*i**2 - 172924*i + 330600 = 0.\nAnswer: -29, -2, 1, 25, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-1350))\/(2\/(-18)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -60. Suppose -k - 1 = -4*h. Is 18 a factor of 1562\/16 + 6\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*v - v = -59, 0 = -5*z + v + 358. Let s = 383 - z. Suppose -84 = -4*w + s. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 17 - 2*n - 13.\nAnswer: -2*n - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12558 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70398315 and 6435.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4\/5*g**2 - 724\/5 - 728\/5*g = 0?\nAnswer: -181, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47747 or 1891?\nAnswer: 1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 70*x**3 - 32*x**3 - 34*x**3 to v*x**2 + k + m*x + r*x**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 519961*m**4 + 35*m**3 - 10756*m**2 + 483?\nAnswer: 12479064*m + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, -1.5, 16, 0.29 in decreasing order.\nAnswer: 16, 0.29, 0.1, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139264 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 7*p - 8. Let y(b) = -6*b**2 + b + 1. Let k be y(-1). Calculate o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -28, -64, -122, -208, -328?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*x**2 + 3*x - 22*x**2 + 2 + 2 - 29*x**2 to the form p + v*x + k*x**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97006, 388062, 873172, 1552336, 2425554?\nAnswer: 3492826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 - 2*x**3\/3 + 3*x**2 + 6*x - 7. Let a be c(-4). Suppose 198 = 17*f - a*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 + (8 - 9). Let a(y) be the third derivative of 1\/3*y**3 + 1\/12*y**4 + t*y + 2*y**2 + 0. Give a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*g + 7*b**3 + 2*b**2*g - 23*b**2 - 1596*b*g - 12*b + 2 wrt b.\nAnswer: -6*b*g + 42*b + 4*g - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41.5343 and -0.4258?\nAnswer: 17.68530494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = 5*m - 68*k, 295327*m - 295330*m - 3*k = -21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -30696?\nAnswer: -30701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2323934810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 40*d - 73. Let b be c(2). Solve 2*l + 3*t + 2 = 0, 39*l - 3*t = 40*l + b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147602583.\nAnswer: 3, 19, 37, 41, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4132 = -194*r + 190*r, 5*n - 20 = 0. Is 28 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774 a factor of 96615646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/10 (b) 0.277 (c) -2\/3 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from ggagggggagggaa?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 1 (c) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 11*d + 15. Is p(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/28512 and 49\/480.\nAnswer: 142560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 87696750855.59?\nAnswer: 87696750855.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u**3 - 2*u**3 + 5*u**3 - 6*u**3.\nAnswer: -43*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 1, q: 2, j: 4, x: 11}. What is prob of picking 1 j and 2 x?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90707238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348*c**3*h**4 - c**3*h**2 + 10*c**2*h**2 + 53*c*h**2 + 100*h**5 + 4*h**2 wrt h?\nAnswer: 8352*c**3*h + 6000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 4*g**2 + 6*g - 18 + 10 - g**3 - 3*g in the form k*g + f*g**3 + r*g**2 + t and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65)*1 - sqrt(65) - sqrt(65)))\/(3*sqrt(15)\/sqrt(3)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 110505*m - 1 + 3 - 2.\nAnswer: 110505*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0888896 + -0.09168. Round t to five dps.\nAnswer: -0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 49, 51, 53, 55?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1820 divided by -13.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 131500139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = 4*j. Suppose -3*v = 2*v + 10. Let k be v\/7 - (-4)\/14. Do j and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 23*v**2 - 13*v - 5. Let a(r) = -29*r**2 + 14*r + 4. Let f(d) = -4*a(d) - 5*z(d). Calculate f(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 2*h**2 + 5*h**2 + 2 - 2 + h**2 + (0*h + 2*h + 0*h)*(0*h + h + h) - 4*h**2 + h**2 + 2*h**2 + h**2 - 8*h**2 + 0*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 58*w**2 - 6*w - 5. Does 59 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*d**3*w**3 + d**3*w**2 - 168*d**3 + 5*d**2*w**3 - 40*d**2 + 216*w wrt d.\nAnswer: 954*w**3 + 6*w**2 - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 12 = -16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 14*f**2 - 14*f - 20. Calculate p(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 138053128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -193*w - 72. What is the hundreds digit of x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n)\/(n\/(n*n*n**(-1\/3)*n)*n)*(n**(-1\/8))**(-7\/4) assuming n is positive.\nAnswer: n**(-25\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(11) + (sqrt(11) - (0 + sqrt(11))) + 5 - (-2*sqrt(11)*-6 - 2*sqrt(44)))**2.\nAnswer: -42*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1225704*m**5 - 26*m**3 - 269229513*m**2?\nAnswer: 73542240*m**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 + 877. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-3)\/((-15)\/4). Let p be (-7)\/d - (-2)\/8. Suppose -5*y - p*t - 10 = -0*y, -4*t - 20 = -5*y. Solve 13 = -3*g + u, 9 = -y*g - 2*g + u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -17.4. Let s = r + -1.6. Which is the second biggest value? (a) s (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from rxjkiikkikk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2129 - 4619 + 1768 + 6660*k wrt k.\nAnswer: 6660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 + 0*i**2 - i**2 + (13 - 13 - 4*i)*(22*i + 24*i - 3*i) + 30*i - 30*i + 12*i**2 in the form g*i + b + v*i**2 and give v.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 24*m - 3*m**2 + 25*m. Suppose -5 = -0*l - l, l = -i + 3. What is the least common multiple of 16 and y(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**2. Let a(r) be the first derivative of r**6\/180 - 14*r**3\/3 + 6. Let h(j) be the third derivative of a(j). Calculate h(k(b)).\nAnswer: 128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -578 + 637. Suppose -t + 843 = 4*f. Calculate the highest common divisor of 168 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/4*1 + 78. Suppose v - h = -v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 4, x: 7}. What is prob of picking 1 m and 1 x?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3870835 (base 9) to base 7\nAnswer: 23651201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8374523.1 to the nearest 10000.\nAnswer: 8370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 5*o**4\/2 - o**2\/2 - 2. Find the second derivative of x(r) wrt r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -21*x. Let p be b(-2). Suppose 12*n + p = 9*n. Let f be ((-4)\/8 - 0)*n. Solve -22 = 4*l + 2*j, -3*l - 4*j = -f*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10897497?\nAnswer: 3, 13, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 481\/3 + -160. What is the nearest to b in 0.001, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -866, -1741, -2618, -3497, -4378, -5261?\n\"Answer: -v**2 - 872*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/7 + 0 - 12\/2240*748 and 2 - 2 - (-43)\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 - j**5\/60 + 205*j**3\/6 - j**2. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113197.\nAnswer: 1113197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + v**3 + 3*v**2 + 5*v + 0*v**3. Let d be b(-2). Suppose -72 = -4*n - d. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 3*r**3 - r**3 + 3*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 4, -6 in descending order.\nAnswer: 10, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -70814983178351 and -0.2.\nAnswer: -70814983178351.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -15. Let d = 2 - -8. What is the biggest value in f, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z = 9. Factor -18*c**2 + 0*c**z - 3*c - c**3 + 14*c**2.\nAnswer: -c*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/9)\/k**(1\/10) assuming k is positive.\nAnswer: k**(1\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 4*sqrt(13)).\nAnswer: -12*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Suppose a*c = 4*u + 1 + 11, 26 = 2*c + 2*u. Solve -z = -3*z + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455.\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -2, 6, -17 in decreasing order.\nAnswer: 6, -1, -2, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**3 + 2*b**3 + (2*b + 4 - 4)*(-b**2 - 2*b**2 + 5*b**2) + (5 + 2 - 4)*(-5*b + b + 2*b)*(663 - 663 + b + 2*b**2).\nAnswer: -6*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -9\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 2*s**3 + 2*s**3 + 5*s**3 - 5*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 55870019413.\nAnswer: 55870019416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b - 25 + 3*b + 27 to the form p*b + s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47019.51 seconds in microseconds?\nAnswer: 47019510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 u when four letters picked without replacement from {f: 7, o: 1, u: 6}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84\/185 - 2\/37. Find the common denominator of s and (-120)\/3 - (-7 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/6 + (-72)\/54. Let l(q) = q**3 - q + 1. Let u(g) = 3*g**3 + 6*g**2 + g + 14. Let y(o) = -4*l(o) + u(o). Let p be y(r). Let i(m) = 3*m + 3. Give i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -0*k + 144. Let n(a) = -2*a - 2. Let q be n(-3). Suppose 0 = q*t - 8*t + k. Solve 5 = -5*p, -m - 4 = t*p + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(307\/(-76) - -4). Suppose -6*x - p = 548. What is x rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11990 by -11.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79791540 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 23601878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.069, 2\/31, -23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4424, 2472, 528, -1408, -3336, -5256, -7168?\n\"Answer: 4*y**2 - 1964*y + 6384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) -0.023 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from aai?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 157, 356, 645, 1030, 1517, 2112?\n\"Answer: c**3 + 36*c**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -1009.15\nAnswer: 70.6405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/20)\/((-40)\/(-50))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 8*h + 6. Let a be t(-3). Suppose -2 = -2*v, -x - 3*x + v + 6483 = a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-12)*(-4652)\/(-2). Let y = -635 - b. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*w, 0 = 5*w - w - 20. Let k = 7 - l. Solve k*m + 2 = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -8*k - 2*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -28*z**2 - z + 4. Let b(s) = 57*s**2 + 2*s - 7. Suppose 2 = -2*f - 4*a, -3*f = 3*a + 1 - 10. Let t(m) = f*o(m) + 4*b(m). Is 16 a factor of t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4566 a factor of 2699276920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 10, u: 2, x: 1, r: 2, h: 2}. What is prob of sequence rxrv?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2062045 is divided by 686542.\nAnswer: 2419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 27 = -z - 3, -3*y = -2*z + 23. Suppose 1144 = w + 10*w. Let x = w + -96. What is the smallest common multiple of x and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -46. Let q = 34 - z. Put 3, 0, q, 4 in increasing order.\nAnswer: q, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 21983?\nAnswer: 21997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 732 - -1?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -69252 divided by -3\nAnswer: 23084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -276435 take away 5?\nAnswer: -276440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49729*z**3\/2 + 481903*z**2\/2 + 777332*z + 834774.\nAnswer: (z + 3)*(223*z + 746)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55714 + -35377. Suppose 2*v + v - c = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 64*v**2 - 263*v - 595. What is u(68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 8*z**2 - z - 6. Let g be y(-8). Suppose -4*k = -6 + g. Let b = 1 - k. Solve -6 = -3*m - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*t - 16, -4*t + 17 = 4*u - t. Suppose 0 = 2*x + 3*h - h - 196, u*x + h - 191 = 0. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564230.1 millennia to years.\nAnswer: 564230100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -390136208 and -4.\nAnswer: -390136212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 91924521 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5049 + -5015. Sort w, -0.09, 4\/9 in descending order.\nAnswer: w, 4\/9, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - ((-13424481)\/18)\/3. Suppose k = -2*o + j, 2*k - 6 = -4. Round o to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 12*n + 21. Calculate o(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*m + 69049 = -729*m - 50967 for m.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1712809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14298, 14155, 13772, 13029, 11806, 9983, 7440, 4057?\n\"Answer: -20*m**3 - 3*m + 14321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + (-1 - (-10689)\/15). Suppose 0*r - 8*r = -j. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/4 (c) 1\/5 (d) 6\/5 (e) -1 (f) -209\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01835 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10072)\/2*(5 - 4). Let x = l - -100697\/20. Let b = 411\/8 + -46. Calculate the common denominator of x and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2343 (base 5) to base 11\nAnswer: -297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6070160038?\nAnswer: 2, 431, 7041949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -7, -6, -21 in descending order.\nAnswer: 3, 2, -6, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/816*4512\/(-376))\/((-18)\/16).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-36)\/(-20) - (137994\/(-155870) - (-6)\/(-11))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 27) + (-1248)\/(-65)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*j + 13 = 0, -5*z - 3*j - 2*j = 25. Let m = z + 4. Suppose m*d - 3*d = 0. Solve d = 3*k + k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let b be 78835\/(-75) - (-9)\/(675\/10). Let a = b - -1046. Sort a, 1, c in descending order.\nAnswer: c, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - k**2)*(198*k**2 + 288*k**2 - 106*k**2) in the form x*k + w*k**2 + o*k**3 + r*k**4 + i and give r.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.4 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480902539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12430 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58483534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 6, d: 8, w: 2, y: 2, z: 1}. What is prob of sequence wuz?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 3\/4 (b) 46353.8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -577.3 - -582.3. Let k = -6 + 4. Put 2, k, -0.26, d in increasing order.\nAnswer: k, -0.26, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386513?\nAnswer: 3, 154057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4320 - -4323. Suppose 3*d + 1 = -5, 3190 = 2*z - 3*d. Is h - (-3 + z\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - -3.68. Let s = p + 0.4. Let h = s - 4.8. Is h >= 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 15c?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 35880 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 26*w = 240. Solve 12 = 2*g + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 + 241203?\nAnswer: 241363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-96))\/((-4)\/(-24))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466039.\nAnswer: 7, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/15901578 and 41\/649044.\nAnswer: 31803156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419717\/135 + 3109. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -61 - (4 + -1 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*9*(-3)\/432.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12309 - 12308. Which is the smallest value? (a) p (b) 1683 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28431 = -10*z + 28201 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 20 = 8*x, 2*r + 113 - 128 = -x for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.128 + -210.872. Let c = a + 207. What is the smallest value in 5, c, 3, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**3 + 4*d**3 - 3*d**3)*((-21 + 2*d + 21)*(1 + 0 - 3) + (3 - 7 + 3 - 11)*(2 + d - 2)) in the form l*d**2 + p*d**3 + s*d + v*d**4 + z and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198 - -21?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (221\/(-34))\/(13\/(-2))*-44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z. Suppose -12*j + 22 = -j. Let y(r) = -21 + r**2 + 8*r + 23 - 2*r**j + 5*r**2. Calculate -6*w(q) - y(q).\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27603 is divided by 4599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = 0, -6*a + 16286 = 5*t - 2*a. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 405*h + 6694. Give i(-17).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*o - 75*o - 88*o + o**3 - 72*o + 37*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (3 + 42 + -39)) + (-3 - 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720 and 36.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/1120)\/(2\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -29*p**2. Let u(n) = 60*n**2 - 35*n + 35. Let j(d) = 5*d**2 - 3*d + 3. Let r(g) = -35*j(g) + 3*u(g). Determine k(r(f)).\nAnswer: -725*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yblyyyblbbqyyykb. Give prob of picking 2 l and 1 k.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from vffffvf.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let z(n) = -n**2 + n - 1. Let h(k) = -3*k**2 + 2*k - 2. Let s = 5 - 11. Let r(l) = s*z(l) + 3*h(l). Calculate i(r(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(10) - (sqrt(30) + sqrt(120)\/sqrt(4))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 295, 642, 1123?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:03 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1*1.4.\nAnswer: -4.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12.626 * -4.7\nAnswer: 59.3422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8*6\/(-27)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - 2*t**4 + t**4)*(-4 + 6 - 7) + (t + 0*t + t)*(2*t**3 - 3*t**3 - t**3).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r - 136. Let l be x(7). Let m be 2\/4*-1*(l - 41). Solve -20*j + m*j + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 4. Let h be 2\/4 + (-6)\/4. Put 3, h, o in decreasing order.\nAnswer: 3, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**7\/12600 + a**6\/900 + a**5\/150 - a**4\/12 - 8*a. Let b(n) be the third derivative of j(n). Determine o so that b(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 5*m - 3*m + (-3 + 1 + 1)*(m + 3*m - 2*m) + (m + 4*m - 4*m)*(0 + 2 + 0) + 0 + m + 0 - 2 + 2 + m in the form k*m + t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/456?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/1)\/((-5)\/(-10)))\/(53*(-8)\/(-5724)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(33)*1 + sqrt(33) + sqrt(33)))\/(sqrt(147)*3).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -26. Solve l + 4 = q*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**3 - 1\/195*d**6 - 33*d + 0*d**2 + 3\/130*d**5 - 1\/39*d**4 + 0. Factor a(y).\nAnswer: -2*y**2*(y - 2)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loo when three letters picked without replacement from looo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*z - 10 = 0, -38*z + 36*z = -j + 1. Which is the closest to j? (a) -1.2 (b) 2\/17 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x + 34. Suppose 3*f - 21*f - 396 = 0. What are the prime factors of w(f)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024079 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r + 53. Is d(0) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 + 85*h - 88. Calculate t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -382 + 30*u + 382. Let s(l) = -2*l. Determine y(s(d)).\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4907, -10915, -18029, -26249?\n\"Answer: -553*r**2 - 4349*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*h + 4*h = -134, 4*n - 5*h - 271 = 0. List the prime factors of 2\/(-1) - (3 - n).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.91 - 2.51. Let f = 205.3 + -196. Let p = s - f. Which is the fourth biggest value? (a) p (b) -2 (c) 1\/4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-18))\/(20\/(-5)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -3. Let z(s) = -m*s + 13*s - 3*s. Let l(o) = 14*o**2. What is z(l(g))?\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) - (-38)\/(-84)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/6)\/((20\/(-14))\/(11844\/6909)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.1368 millennia to months.\nAnswer: 1897641.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 - 7*k - 12. Determine p(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34847.\nAnswer: 34847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249989899 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/60 - 8\/(-20). Let c be (3 - 38\/(-6)) + -5 + -3. What is the nearest to -0.2 in m, c, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 11:34 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57909035761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 >= 4007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -1. Let z(d) = -d**3 - 2*d**2. Let x be z(-2). Suppose 0*n - 5 = -n - j, -2*n - 4*j + 16 = x. Put 1\/4, w, n in ascending order.\nAnswer: w, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34503 - -226?\nAnswer: 35032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 4*d**3 + d**3)*(0 + 2 + 0) + 20*d**3 + 22*d**3 + 10*d**3 + (0*d + 3*d - 2*d)*(-3*d**2 + 2*d**2 - d**2) - 4*d + d**3 + 4*d.\nAnswer: 55*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 - -87.7. Let d = -4 + 0. Let q = d - b. What is the second biggest value in 1, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1008) + 3 + sqrt(1008)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026280 times -0.1?\nAnswer: -102628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, r: 3}. What is prob of sequence rym?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917 + 167 = 140*h - 15*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = s + 24, -2*s - 29 = 2*d - 1. Let f = d + 12. What is the third derivative of -7*m**2 - 2*m**5 + 7*m**2 + 6*m**5 + f*m**2 wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1 (c) 0 (d) 0.28 (e) 0.093 (f) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331 + 93 = -11*o + 28*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.998 to one dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200540 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(5 + 19 + 10) + (-3 - 1 + 2)*(-1 - 2 - 4))*(-1 - 2 + 0)*(2*h - 2*h - 2*h**2).\nAnswer: 492*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**3 + 2*v. Suppose 5 = -4*l - i - 6, 0 = -4*l - 3*i - 9. Let q(g) = 4*g**3 + g. Calculate l*p(c) + 4*q(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 2. Let y be z(2). Let i be (-5)\/2*(-1 + 5). Let v = y - i. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12835 - 12801. Solve 17*f + u = 12*f + 20, 0 = -3*f - 5*u + n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**3*r**2 - 19*n**3*r - 277*n**3 - n**2*r**2 - 3417*n*r**2 + 169*n*r - 81*r**2 wrt r?\nAnswer: 6*n**3 - 2*n**2 - 6834*n - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47734*s**3 - 5*s**2 - 354528*s.\nAnswer: 286404*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, 283, 1380, 3517, 7042, 12303?\nAnswer: 19648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 91\/3 + (-2)\/(-3). Suppose -z*r + 165 = -26*r. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*57\/24*8. Solve -w*s + 21 - 97 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 27*w - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5\/9 - 920*g**4\/9 + 14596*g**3\/9 + 140752*g**2\/9 + 184768*g\/9 - 339200\/9 = 0. Calculate g.\nAnswer: -4, 1, 25, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*3\/(-2)*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41134 + -11?\nAnswer: 41123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*y, -3*z + 2*y = -8*z. Let v(n) = -3*n**3 - 2*n**2 + 1. Let h be v(-1). Solve z*a = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*g - 5*i, 2*i + 5 + 5 = 0. Let l(o) = -o**2 - 2*o + 12. Let z be l(g). Let b be (-30)\/(-3) - 1 - z. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -3 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6059650, -6059659, -6059670, -6059683?\nAnswer: -6059698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 669102 and 9240?\nAnswer: 147202440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -225, -965, -2191, -3897, -6077, -8725?\n\"Answer: h**3 - 249*h**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + -2*sqrt(135))*1)\/(-1*sqrt(9)\/sqrt(3)) + -2.\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -16. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d + d**3 - 2*d - 8*d**2 + 7 - 3*d. Let h be (12\/16)\/((-84)\/(-784)). What is p(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8272474 and 909482.\nAnswer: 5446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125\/3 + 42. Let k(w) be the first derivative of 0*w**4 + 0*w**5 + d*w**3 + 0*w**2 + 1\/6*w**6 + 1 + 0*w. Find the third derivative of k(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/7 - 6\/(-924)*-11346. Let d = q - -74. Factor -d*u**2 + 10\/11 - 8\/11*u.\nAnswer: -2*(u - 1)*(u + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*l = 16 + 8, 4*l - 22 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -50*x**3 + x**2 + x. Suppose 0 = -0*w + w. Suppose -5*m - 4 - 1 = w. Does 18 divide r(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 + 160 + 130 - 10*c)*((1 + 0 + 1)*(c + 2*c - c) - 2*c + 2*c + c).\nAnswer: -50*c**2 + 335*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.9758 decades to years.\nAnswer: 579.758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 - 3*i - 2. Let y = -47 + 29. Calculate the remainder when l(3) is divided by (81\/15)\/(y\/(-60)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 28*c - 116. Suppose 5*h = c*x + 3788, h = -0*x + x + 758. Is 63 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let i be w(-2). Is 13 a factor of (-41)\/(-2) + i\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:19 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20037?\nAnswer: 3, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 127613 - -190?\nAnswer: 1277a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3226, -3213, -3184, -3127, -3030, -2881?\n\"Answer: 2*q**3 - 4*q**2 + 11*q - 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/9 (b) 376\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*-24*(-10)\/140\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dgidgdiggdgi?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85\/43? (a) 2 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54612208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -18265 to the nearest 100.\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 19) + 13 + -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 6 + w)*(-6 - 9 + 26) + (0 - 3*w + 0)*(4 - 2 - 3))*(-2*w - 2*w**3 + 2*w) in the form y + b*w**2 + s*w + v*w**4 + q*w**3 and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*g**2 + 146 - 153 - 4*g**3 + 2*g**2)*(-2*g + 5*g - g) + (0*g**2 - 3*g**2 + 0*g**2)*(-4*g**2 + 3*g**2 + 3*g**2).\nAnswer: -14*g**4 + 96*g**3 - 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-20)*(-13860)\/(-3168)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**3 + 14175*s**2 + 10039440*s - 10053620 = 0. What is s?\nAnswer: -1418, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c - 10. Let l be a(-3). Solve 3*u - 6 = 0, 0*i - i - u = l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7233 or 7148?\nAnswer: 7148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 16. Let g be (-21)\/(-4)*(1 + 19\/(-9)). What is the fourth smallest value in c, 2\/7, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 4, -111, 3 in ascending order.\nAnswer: -111, 3, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0716 * -140.586.\nAnswer: -10.0659576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 15, q: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2274*d + 1202. Does 10 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6*q = -q + 5, u + 4*q = -11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 764\nAnswer: -21392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2576505776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 - 35*x**5 + 246*x - 198*x wrt x?\nAnswer: -660*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3*(6 + (-75)\/20). Let d(k) = -1326*k + t*k**2 + 1326*k. Let s(i) = -12*i**2. Determine d(s(m)).\nAnswer: 432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/319340 and -45\/52?\nAnswer: 4151420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 1 z when three letters picked without replacement from {z: 1, u: 9, k: 3, i: 2, b: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17394.94 + -17395. Which is the third smallest value? (a) z (b) 0.2 (c) -0.1 (d) -0.2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(3 + (-6)\/4) + 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 142661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 7*l + 5 + l - l. Let j(a) = -268*a**2 + 2 + 1 - 273*a**2 + 3*a + 540*a**2 - 5. Let c(i) = -3*d(i) - 7*j(i). Factor c(o).\nAnswer: (o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + y + 2 + 2, -2*x + 11 = -3*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -202206.75953762 and 0.7.\nAnswer: -202206.05953762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 10:26 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21*l - 71. Determine c(8).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.3, -0.5, -2, -9, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 50 = 5*u, u + 2*o - 10 = -0*o for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 835 + -307. Is 44 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2654994 + -40.\nAnswer: -2655034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469890378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 128908899761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10527 and 5450115.\nAnswer: 59951265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15507347 is divided by 1452.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57518 + 57678 = 124*i + 1734*i for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vavc when four letters picked without replacement from {c: 1, z: 2, v: 6, a: 9}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/5814 and 79\/277761?\nAnswer: 28331622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(-1702)*-161*(-156)\/210.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -5 (b) -0.4 (c) -23 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 - 2.56. Let l be (0 - (-2)\/(-5)) + 0. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwww when four letters picked without replacement from whwwwwwhhwwwwww?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**6\/240 - 13*t**5\/32 + 375*t**4\/32 + 3125*t**3\/48 - 78125*t**2\/8 + 2887*t. Factor o(m).\nAnswer: (m - 25)**3*(m + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u**10\/u))**(-4\/13)\/((u**(1\/4)\/u)\/(u**0*u*u*u))**50 assuming u is positive.\nAnswer: u**(4891\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 846548142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -27*l - 28. What is the remainder when f(-4) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 6) + -1 - (-18)\/(-14). Do 4\/199 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 m when four letters picked without replacement from {s: 4, n: 2, m: 10}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/11))\/((d*d**(-4\/7))\/d) assuming d is positive.\nAnswer: d**(107\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(96\/(-1536)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 7*k - 15. Let c be x(9). Suppose -c - 37 = -4*g. Suppose -4*i - 87 + 367 = 0. Calculate the highest common divisor of i and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {s: 1, o: 3, p: 2, d: 3, v: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 14 = -3*g, 4*g - w - w - 12 = 0. Suppose 466 = -13*t - 1120. Let i = t - -122. Solve i*j = -2*j - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 - -1191680952.811?\nAnswer: 1191680952.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8738, -5, 1 in ascending order.\nAnswer: -8738, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**6\/21 + 2*j**5\/7 + 4*j**4\/7 + 8*j**3\/21 - 22. Factor l(b).\nAnswer: 2*b**2*(b + 1)*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.79 + -7.89. Let c = n + -47.8999803. What is c rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/9 - 208\/45. What is the closest to k in 5, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -8. Let b = 56 - i. Let l = b - 69.9951. What is l rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) 4 (c) 1 (d) 20870 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**3\/2 + 12*b**2 + 19*b. What is the remainder when k(5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340569110 times -0.5\nAnswer: -170284555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnxjj. Give prob of picking 1 x, 1 j, and 1 n.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = -90 + 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 5195, 17602, 41793, 81704, 141271, 224430, 335117?\nAnswer: 477268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -52221*c + 104526. Give m(2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Suppose 0 = 175*q - 6488 - 3140 - 26247. What is the greatest common factor of q and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 3:26 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1775*n**2 - 674*n**2 - 1947*n**2.\nAnswer: -4396*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2. Let x(i) be the second derivative of 5*i + 0 + 0*i**2 + 2\/3*i**3. What is x(h(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 25. Let u = x - -23. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 7 + 58. Let y = s + 18. Suppose 3*v = y*v - 10. Let x(b) = -b - 2. What is x(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:29 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -349534 - -674105. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose 0 = j - 3, -3*j - 55 = -0*z - b*z. Suppose -3*h = -3*y - 6*h, -4*y + 3*h + 28 = 0. Solve -4*q - z = -5*i, -q - y*i + 5*i = 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1994*s**3 - 1907 + 1904 + 1803*s**3 - s + 2*s**2 to the form r*s**3 + t + l*s + c*s**2 and give r.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 279106699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8016697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -48 + -1*(2 - 3\/(-3)). Let n = g + 61. Suppose -2*x - 4*s - n = 0, s = -1 - 3. Let h(k) = -k + 1. Give h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7161.822 milligrams to grams.\nAnswer: 7.161822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21012 - 20962. Put z, -1, -15 in ascending order.\nAnswer: -15, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*0\/(-8). Let v be m*(7\/2)\/(-7). Suppose v*q + 5*q - 109 = -3*l, 2*l = q + 90. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -0.09, 0, 3.\nAnswer: -0.09, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -113, -140, -147, -128?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-3 + -44) - 47 - (-58 + 1).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2764 = -l, -31*l + 26*l - 1821 = -2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - 290\/(-72)) + 0\/(-4) and -25\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2684.241ug to tonnes.\nAnswer: 0.000000002684241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20955*x + 20955*x + 412*x**2 to the form t*x**2 + h + v*x and give t.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 32. Sort 3, a, 4 in increasing order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87482668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4293 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4782048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6535876 = 3*b + 2*d + 1646373, 0 = -5*b + 2*d + 8149145. Suppose 5*u + 1500005 = p, 4*u - b - 5870165 = -5*p. Round p to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1709 divide 109085022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 6*a + 1. Let g be i(-6). Let k = g + -1. Factor o**3 + 2*o + k*o**3 - 5*o**2 - 8*o**3.\nAnswer: -o*(o + 1)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**3 - 7*a**3 + 14*a**3 - 26 + 7*a**3 with respect to a.\nAnswer: 69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 - 4*h + h)*(7*h - 6*h**2 - 7*h).\nAnswer: 12*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2162920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - 4553*v**2\/3 - 1708357*v + 43662675.\nAnswer: -(v - 25)*(v + 2289)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Let z = -998 + 1070. What is the remainder when z is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 1. Let k(b) = -4*b**2 + 17*b + 4. Determine -k(o) + 6*y(o).\nAnswer: -2*o**2 - 23*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) - 3*1*sqrt(225))*-3)\/((5*(sqrt(147) - (sqrt(147)*-2 + sqrt(147))) + sqrt(147) + sqrt(147) - sqrt(147))*2))**2.\nAnswer: 675\/5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 10) to base 14\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 14*h**3 - 11*h**3 - 2*h.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 9. What is n(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*i = 28, 25 = 57*l - 55*l - i. Solve 4*b = -2*g - 15 + l, 4*g - 5 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 4*b + b. Let i(y) = 16*y. Let k(p) = -101*p. Let z(x) = 19*i(x) + 3*k(x). Give w(z(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + z**4\/2 - 23*z**3\/6 + 82*z**2. Let v be m(9). Which is the closest to -0.1? (a) v (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.009 * 27.\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 357683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 218, -2, -4, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*x - 3047 = 0, -c + 2*x = -0*c - 608. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thpxvxpxxptthxgxphhh. What is prob of picking 1 v, 1 x, and 1 p?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 9, 0 = -f + 4*f + 2*b + 30. Let d = -5 - f. Calculate the remainder when (-101)\/(-9) + 12\/(-54) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138553556.\nAnswer: 2, 47, 736987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than 133?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4312120431 (base 5) to base 9\nAnswer: -18106386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*v - 3*n - 24, -3*n - 15 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7745 - 1.6985. What is the smallest value in l, 3, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -359.9? (a) 0.2 (b) -0.25 (c) 2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/20 - n**4\/4 - n**3\/2 - n**2\/2 - 3*n. What is the units digit of k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118306763 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-25164)\/115335)\/(18\/(-2))*1\/(16\/12)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {u: 5, y: 3, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1392)\/29)\/192)\/((-30)\/(-4)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.8 - 7.7969. Round u to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134684 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*n**4*u + 12475*j*n*u + 10*j - 14342*u wrt n?\nAnswer: 12*j*n**3*u + 12475*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 12:01 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -51. Suppose -4*s + 3*b - 36 = 0, -3*b + c = -3*s - 2*b. Let y(n) = 2*n**2 + 11*n - 3. Let j be y(s). Solve f = j*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:30 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 25. Suppose t = -h + 5*h. Solve 3 + h = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 - 29*q - 3. Let v(r) = -2*r**2 + 10*r + 1. Let d(h) = -3*o(h) - 8*v(h). Calculate d(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 1, y: 1}. What is prob of sequence xq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. Which is smaller: -2\/43 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 2*q + 0*q. Let v(s) = -2*s - 1. What is v(t(w))?\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/((-32)\/6) + (-159)\/(-60). Which is the closest to p? (a) -3\/7 (b) 3 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 531 or 2848\/7?\nAnswer: 531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/5 + (-6)\/15. Suppose -7*t = 2*a - 4*t + 2, -3*t = 4*a - r. Suppose w = -a*w. Solve 4*q + 32 - 12 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/110520 and -73\/7272216.\nAnswer: 36361080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -83. Suppose 16*o - 6*k = 14*o + 748, 0 = 4*o + 2*k - 1370. Calculate the remainder when o is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/9955 and 127\/131406.\nAnswer: 657030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34330410 (base 5) to base 10.\nAnswer: 308230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(117) + 1*(sqrt(117) + (sqrt(117) - -2*sqrt(117))) - 2*sqrt(117)*1)\/(sqrt(729)*-1*-4) + 4.\nAnswer: -1 - sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3 = -h, 0 = -5*h + 4*g - 40 + 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248656685?\nAnswer: 5, 1087, 45751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1526*u = -758*u - 767*u + 53, -2*u = 2*i + 100 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1)*((-4)\/3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 + 5*j**4\/24 + 2*j**3 + 43*j**2 + j. Let l be g(-5). What is the greatest common factor of l and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + sqrt(17) + sqrt(17)*-2*1.\nAnswer: -sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -12. Let h be 4 + 54\/15 - (-2)\/5. What is r in -h + r + 12 - g*r**2 + r = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 488.1 + -488. Let b = -7 - -11. Suppose 0 = l - 0*l + b. What is the biggest value in h, l, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**14)\/(s**(-17)*s**(1\/4)) assuming s is positive.\nAnswer: s**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 912.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k - 5*k**2 + 246 - 6537*k**3 + 5*k**2 + 7651*k**3 wrt k?\nAnswer: 6684*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(((-6)\/(-324))\/((-6)\/(-4))) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/61 (b) -2\/77 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 5 + 17 = 0. Solve -3*r = g*f + 14, -3*f = 12 - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2460*l - 17660*l**3 + 2460*l.\nAnswer: -17660*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47674 and 13673.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m + 2. What is the smallest common multiple of 10 and u(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*w - 32*w + 2*w to p + u*w and give u.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -1, -4 in descending order.\nAnswer: 13, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 - 8*q - 4. Let h be n(9). Suppose -h*k + 3 = -27. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 3*y + 5 - y.\nAnswer: 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*s - 5*a + 313, -2*s = -5*a - 150. Suppose -3*f - 2934 = -5*v, 3*f + 1008 - 3924 = -5*v. Calculate the highest common divisor of v and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**7\/280 - 51*w**4\/8 + 61*w**3\/3 - 204*w**2 + 1. Let a(s) be the first derivative of o(s). Differentiate a(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21269 (base 15) in base 16?\nAnswer: 19ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3369945973.\nAnswer: 151, 22317523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.04, 1, -2\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -19*x - 7. Let d(i) = 6*i + 2. Let n(h) = 7*d(h) + 2*o(h). Let a be n(1). What are the prime factors of (a + 0)*3\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 12. Let q be w(-6). Let o = q + 45. Solve -o*d - 2*d = -b, -4*b = -5*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25352276 to the power of 1\/2, to the nearest integer?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 9*d - 4. Let g be (-3)\/(-21) - 80\/(-28). Let w be q(g). Solve w*f + 8 + 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h - 1. Let j be x(-1). What is the third derivative of j*g**4 + 2*g**2 - g**2 - 2*g**2 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3394, -5680, -7966, -10252, -12538, -14824?\n\"Answer: -2286*x - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 767*m**6\/6 + 540*m**3 + 1553. Find the third derivative of j(w) wrt w.\nAnswer: 46020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 243692, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*3)\/(sqrt(576)*-2))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 2) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gckcssgscggdsg. What is prob of sequence kg?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651266303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -153c8 (base 14) to base 8\nAnswer: -147244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 414960119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 252 = 41*x. Put -1, -1\/3, x, 2\/13 in descending order.\nAnswer: x, 2\/13, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 7*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 54 and -1294.\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 4001*o + 36263. What is t(-9)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 - 5\/6. Let l = -0.4 - 1.6. Let r = l - -2.2. What is the third smallest value in r, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 115. Suppose -5*r - 3*a = -21 - 13, -4*r + j = -2*a. Sort -1.4, r, -0.1 in decreasing order.\nAnswer: r, -0.1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 - -272. Suppose -y + 8 = -6*w. Which is the closest to -1\/4? (a) w (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2\/7 + 36*q\/7 - 975\/7 = 0?\nAnswer: -25, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/190430030 and 59\/50.\nAnswer: 952150150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1657 divided by -4\nAnswer: -1657\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 2682.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/360 - 3*x**3\/2 + 4*x**2. Let u(d) be the first derivative of l(d). Let s(v) = -2*v**2. Calculate u(s(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34638 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229 divided by 551.\nAnswer: 229\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 958 + -956. Let x(v) be the third derivative of v**5\/30 - v**4\/12 - 22*v**2. Give x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155\/16 - 899\/144. Let n = x + -28\/9. Let w = 1.4 - 0.4. What is the closest to w in n, -5, 2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715354021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 55*h**5 + 590*h**4 - 2310*h**3 + 2840*h**2 - 1385*h + 210 = 0.\nAnswer: -14, 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 215018?\nAnswer: -301025.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1, 0.2, 2\/3, -3000, -258?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h - 30. Calculate w(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 69. Calculate h(27).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103123122011 (base 4) to base 8.\nAnswer: -23333205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020222 (base 3) to base 11.\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 1, -8\/11, 95, -1 in descending order.\nAnswer: 95, 1, -8\/11, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39387915 a multiple of 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 46980*r**3 + 203*r. Let m(s) = -1160*s**3 - 5*s. What is -5*g(x) - 203*m(x)?\nAnswer: 580*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 4. Let y(o) = -3. Let v(c) = d(c) + 3*y(c). Let w(a) = 2*a - 2. Calculate -3*v(k) + 8*w(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648 - 635. Solve 3*z + 2*r - o = -0*r, 5 = 2*z + 5*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/10 - 296*b**3\/5 - 3738. Find t, given that j(t) = 0.\nAnswer: -444, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/108*9\/(-5)*(-82)\/(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 85 - 328. Which is smaller: g or 117\/2?\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n**2 - 4*n + 1. Suppose -2*u = -0*u. Suppose -f + 448 = 5*m + 2*f, -5*f - 20 = u. Let d be m\/(-22) + 2\/11. Calculate b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-9)\/3. Let h be q\/6 + (-190)\/(-210). Which is the third smallest value? (a) h (b) -0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhlylhhllhlhhhlhlhh.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 3*f + 6. Let n(t) = t**2 - t + 1. Let j(h) = h + 4. Let b be j(-5). Let x(a) = b*s(a) + 3*n(a). Differentiate x(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*x**3 + 216 wrt x.\nAnswer: -633*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -22 + 128. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4620 and 127\/21379974.\nAnswer: 213799740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3964, -31743, -107198, -254185, -496560?\n\"Answer: -3976*z**3 + 18*z**2 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 9:13 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 + 2*u**2 + 2. Let s(h) = -16*h**3 + 7*h**2 + 1. Let p(f) = -f**3 - 1. Let l(n) = 6*p(n) - s(n). Determine 7*i(o) + 2*l(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 393*r - 30. Let o(y) = -98*y + 7. Let j(a) = -2*b(a) - 9*o(a). Is j(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18*q + 36. What is the tens digit of x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(45\/(-6) + 0). Let k = -10 + y. Suppose 2*f + 3*d - d + 8 = 0, -3*f - 2*d - 7 = 0. Solve k*u = 4 + f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-5) + 2\/10. Suppose 7 = 3*t + n. Suppose 2*w = p - 3*p + 26, w + 17 = t*p. Solve 0 = -3*v + d - 14, p - 4 = -v - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-18) + 355\/45. Suppose c - 8 = -d + 4*d, -3*c - 4 = -2*d. Let s be ((-10)\/4)\/(c\/i). Solve -m + 2*m - s = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 99. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -5582\nAnswer: -27910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8834361.\nAnswer: 3, 277, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wcccwwcwww.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z**3\/3 + 23*z**2\/3 + 16*z\/3 = 0.\nAnswer: -16\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (50\/(-6))\/5 - -3. What is the nearest to -0.1 in -0.5, d, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4573372 from 1357.7.\nAnswer: 4574729.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i. Let k(q) = -2 - q - 4 + 5 + 0. Let b(x) = 8*x + 5. Let c(h) = -b(h) - 5*k(h). Calculate s(c(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awu when three letters picked without replacement from {u: 2, a: 1, d: 1, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75832, 75929, 76026, 76123, 76220, 76317?\nAnswer: 76414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 188 and -1502687256.\nAnswer: -1502687068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1641314.8046?\nAnswer: -1641314.8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from ibidiud.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031171 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + -23331?\nAnswer: -30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -62.1. Let t = y - 4. What is the nearest to t in 4, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 137. Let y = 111 + d. Suppose 0 = -g + 2*a + 8 + y, -5*a - 245 = -4*g. What is the remainder when g is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by -36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 84. Which is the closest to -0.2? (a) -0.4 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:35 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 398147*r**4 - 5349170*r wrt r?\nAnswer: 4777764*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/17, 2\/5, 0.01, 6, 3 in decreasing order.\nAnswer: 6, 3, 2\/5, 2\/7, 0.01, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 824, 0, -4 in ascending order.\nAnswer: -4, -1, 0, 824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -280, -560, -838, -1114, -1388, -1660?\n\"Answer: a**2 - 283*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 + d**2 - 3*d - 4. Let i(s) = -5*s + 2*s**2 - 44 + 37 + 21*s**3 - 12*s**3. Let z = 1 + 2. Give z*i(j) - 5*c(j).\nAnswer: 2*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1375 and 1750870.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2710, 2707, 2704?\nAnswer: 2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -2\/3*v**4 + 0*v**6 + 5\/112*v**8 + 0*v**3 + 0*v + 0*v**7 + 25*v**2 + 0 + 0*v**5. What is the second derivative of o(g) wrt g?\nAnswer: 300*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r + 18. Let u be ((-45)\/r)\/(2\/4). Solve 4 = -3*n - u*a + 24, -5*n + 2*a + 23 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -568*h**2\/7 + 6985284*h\/7 - 245960\/7 = 0?\nAnswer: 5\/142, 12298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -14, 529, 0, -23 in increasing order.\nAnswer: -23, -14, 0, 1, 4, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in -2\/91, 1508, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o - 2. Let q be x(4). Suppose q*s = 3*f - 0*s - 60, 0 = -5*s. What is the greatest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 8501*o - 8501*o - 19*o**3 - 106*o**3.\nAnswer: -136*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001230950213 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_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: Calculate the remainder when (-123)\/(-2 + -2 - -3) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.44 times -3?\nAnswer: -22.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 11) in base 12?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 + 162*r - 7. Let h be u(27). Let a(s) = -2*s**3 - 14*s**2 - 2*s + 2. Let x be a(h). Solve 15*z = x*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 1. Let r(l) = 4*l**2 + 9*l + 6. Let t = -22 + 16. Let w(o) = t*p(o) - r(o). What is the second derivative of w(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8845 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 3*a - 2*a + (0*a + 5*a - 4*a)*(2 - 1 + 0) + 42*a - 491*a - 76*a - 529*a.\nAnswer: -1059*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -190?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393893919.\nAnswer: 11, 126717629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*1*sqrt(19)*2 + sqrt(1216)*1*-4 + -3.\nAnswer: -72*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17*42\/126*(-30)\/(-50)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15264665 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 2806*q - 2806*q + 8*q**3.\nAnswer: 8*q**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 3*h - 7 + 49 - 25.\nAnswer: 3*h + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4112659 from -3130412.\nAnswer: 982247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f**2 - 16*f + 5. Let c(m) = 26*m**2 - 34*m + 12. Determine 5*b(t) - 2*c(t).\nAnswer: 13*t**2 - 12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1244*t**2. Let m(i) = -23*i - 25*i + 84*i - 36*i + i**2. Calculate b(m(n)).\nAnswer: -1244*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3254423*g*z**4 + 4296040*g*z**2 wrt z?\nAnswer: -78106152*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -40.3. Let y = 1.7 - t. Let l = -23.67 + 23.7. Which is the closest to -0.1? (a) -5 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/5 and -1 + (-40470)\/40120 + 1 + 1.\nAnswer: 20060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 36702?\nAnswer: 293616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*w + 139 - 123, 0 = 2*w - 7*j + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cadacdaaccacqccda. Give prob of sequence qaa.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**6\/10 - 9*m**5\/20 + 2*m**3 + m. Factor u(t).\nAnswer: 3*t*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 268\/21, 9\/91 in descending order.\nAnswer: 268\/21, 9\/91, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-223 - 3)\/(3*(-3)\/(-63)). Let h = 2642 + t. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*g = -2*m + 6, 4*m - 2 = g. Suppose m = -5*w + 3*w. Find the second derivative of 0*b**2 + b**2 + w*b - 3*b wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -42*h + 254. Let q be s(6). Suppose -q*w + d = 7, -d + 0*d + 4 = -w. Let r(b) = b**2 + b - 3. Calculate r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 + 1 = 0, -4*v = i - 1678. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 184. Suppose -w*v + 1881 = -2909. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 277310 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*g + 28, 32 = -3*h + 5*g. Let o(t) be the third derivative of -t**6\/120 - t**5\/12 - 7*t**4\/24 - t**3 + 83*t**2. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28728 - -12449. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)\/(sqrt(24)\/sqrt(2)))\/(sqrt(9)\/sqrt(3)*1))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*33)\/((-394)\/2167*231\/(-2)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -c36 (base 14) in base 15?\nAnswer: -aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 p when three letters picked without replacement from {h: 1, p: 11, x: 2}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 e, and 1 q when four letters picked without replacement from {e: 7, q: 3, r: 4, f: 4}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microsecond in nanoseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766052.9ml to litres.\nAnswer: 766.0529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(150)\/sqrt(3))\/sqrt(10) - ((sqrt(5)*-1)**2 + 2)) + -2 + 4)*-1.\nAnswer: -sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in -2566, 2\/3, -2\/17, 4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 21\/14*16\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v*v)**(1\/11)*(v**(1\/3)\/v)**14)**(-25))**(-22) assuming v is positive.\nAnswer: v**(-15250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from fpfffpppffpfffpfpff.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1670*z + 2625. Calculate q(-2).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494 + -461. Which is the smallest value? (a) o (b) 1\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -4. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243592 is divided by 221.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668955723 to the nearest integer?\nAnswer: 25864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8781220.\nAnswer: 2, 5, 7, 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4 and -59\/2464.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = s + s - 3*p, -88 = -2*s - 2*p. Suppose -37*b - 7404 = -s*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61600 and 1056?\nAnswer: 184800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 4*c - 57. Let l be q(11). Suppose -2*w + l = 4*g - 128, -3*g - 2*w = -176. What is the smallest common multiple of g and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 7*f**2 - 12*f - 5. Let g be q(-5). Suppose -j - 67 = -3*r, -5*r + 39 + 86 = g*j. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-171) + 2\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(49)*-2 - sqrt(343)\/sqrt(63))\/(sqrt(21)\/sqrt(12) - sqrt(63)*1).\nAnswer: 74*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.5, 3, 6771, -2\/35, -3\/4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, 1, -5 in ascending order.\nAnswer: -5, -3, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0800816 rounded to three decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/4)\/u)*u*(u\/(u*u**(8\/11)*u))\/u)\/(u**(-18)\/((u**12*u)\/u*u*u)) assuming u is positive.\nAnswer: u**(1431\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = 29*c + 19945. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 666 and 370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jfjfjjjjjjjfjjfjjjjj?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -6. Let x be ((-24)\/(-36))\/((-2)\/6). Let i be (1\/x)\/(75\/30). What is the closest to -2\/5 in s, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37165*t**3 - 2*t**2 - 140*t - 9249864 wrt t.\nAnswer: 111495*t**2 - 4*t - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.4 (b) -0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 911687.102 - 910857. Let m = f + -827. Let y = m + -3.1. What is y rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 13*w**2 + 15*w + 19. Let n be f(-14). Suppose 0 = 10*d - n*d - 210. Calculate the greatest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530151939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 30*n = 34*n - 12, w = -2*n + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3192*i + 3253. What is v(-1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*w + 6 = -2*w, -4*w - 12 = 0. Suppose -3*i = -j*i - 15. Let c(s) = -s. Let h be c(-2). Solve h*a = -4*l, -l + 0*l + i*a = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 138176 + -42?\nAnswer: 138134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 65?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 + 173. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854276049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976192*y - 976192*y - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 794, 789, 782, 773, 762?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037691067 to five dps.\nAnswer: -0.03769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -3. Suppose 8*u - k*u = 4. Suppose -1 - 3 = -u*o. Solve 5*f + 3*y = o*f + 3, 10 = 4*f + 2*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 284 = 739. What is the third derivative of -174*w**5 + 152*w**5 + 129*w**5 + c*w**2 wrt w?\nAnswer: 6420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -798023*y**4 - 13*y**2 - 22*y - 587 wrt y?\nAnswer: -19152552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12621440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - 136*x - 216. Let q(s) = s**2 - 27*s - 43. Let m = 59 + -75. Let b(p) = m*q(p) + 3*d(p). Factor b(i).\nAnswer: 2*(i + 2)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 n when four letters picked without replacement from {u: 4, z: 8, n: 2}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q + 67. Suppose -15*f + 71 - 11 = 0. Is l(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954892?\nAnswer: 2, 488723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205637.9929 + 205628. Let s = -0.08 - 9.92. Let y = s - g. Round y to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2331?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/(9\/(-12)). Let p be 1 - 1 - (a - 0). What are the prime factors of (-6 + 4)*5\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -53*g**3\/6 - 6*g**2 + 4*g - 2. What is the first derivative of l(a) wrt a?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4305 = -o + 2*t + 4314, 4*o = 3*t + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eawmmvwemwpamav. What is prob of picking 1 p and 2 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 4975*c**3 - 1547*c + 2*c**2 + 5006*c**3.\nAnswer: 31*c**3 - 1547*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) + (-91)\/(-5). Suppose s + 6 = 6*k. Solve 7*j = -k*p + 3*j - 24, -5*j - 28 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/(-9) - (-6)\/(-9). Let l(x) = 10 + 0*x + 2 - x. What is the units digit of l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532457 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: Suppose 0 = -n + q + 7, -n + 4 = -3*q + q. Solve 5*v - 5 = n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-80)\/(-132))\/(12\/62). Let p = b + -32\/11. Factor p*c**2 + 2\/9 - 4\/9*c.\nAnswer: 2*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + ((sqrt(2448) + 2 + sqrt(2448))*3)**2 - 6*(-1*sqrt(2448))**2 - -5*(-4 + 1*sqrt(2448))**2)*6.\nAnswer: 2376*sqrt(17) + 514776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 110, 169?\n\"Answer: 59*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 1711, 3288, 4867, 6448, 8031, 9616?\nAnswer: 11203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110100101110 (base 2) in base 8?\nAnswer: -16456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/9)*p**1*p**(-2\/115)*p**34 assuming p is positive.\nAnswer: p**(36092\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from wfuwxwfuwwxff.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 2. Let a be h(-3). Let p be 6 - a - 2\/2. Suppose 3 = -3*l + 2*w, p = -l + 5*l + 4*w + 4. Do l and 1\/10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6\/z*(z**(-2)\/z)\/z*(z*z**(-2\/5)*z*z*z)**5 assuming z is positive.\nAnswer: z**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 44 + -418 + 225?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**6 - 5*l**4 - 6*l**2 + 5*l. Let f(d) = 8*d**6 + 4*d**4 + 5*d**2 - 4*d. Let t(c) = -5*f(c) - 4*g(c). What is the third derivative of t(z) wrt z?\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**50\/((((c\/(c*c**(-2\/3)))\/c)\/c)\/(c\/(c\/(c\/c**(-2\/7)))))*c**(-5\/6)*c**(-6)*(c*c\/((c**(2\/5)\/c)\/c))**(-2\/61) assuming c is positive.\nAnswer: c**(66901\/4270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*i = -136772, -i + 34885 + 33492 = b. What is b rounded to the nearest 1000?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4\/4 + 43*c**3 - 29*c**2 = 0.\nAnswer: -58, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {o: 2, r: 11}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -0.6499\nAnswer: -0.6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:08 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/(-12 + 1\/((-117)\/(-1456)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (588 + 26*y**2 + y - 588)*(4*y - 5*y - y).\nAnswer: -52*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*k**2 + 128816*k**3 - 15*k - 416*k**2.\nAnswer: 128816*k**3 - 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20 - -12 - (-5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(450) - ((-2*sqrt(450) + -4)**2 - sqrt(450) - sqrt(450))) + 2 + (sqrt(162))**2 + -1).\nAnswer: 1170*sqrt(2) + 9918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/9)\/1)\/(17*(-42)\/1071).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24767171 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -12212?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5355351 (base 6) to base 16.\nAnswer: 40873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v**3 + 240*v**2 + v - 22. Let k be w(24). Let t(z) be the first derivative of -35 - 39*z + 7\/2*z**k. Find the first derivative of t(b) wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 540 + 215. Suppose -4*l - 4*u + 588 = 0, 5*l + 0*l - b = 5*u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - (6 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b + 3. Suppose -b*n = 2*n - 20. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t - 6. Let s(g) = -g**3 - 9*g**2 + 11*g + 6. Let d be s(-10). Let r be 1\/(d\/80*-4). Calculate z(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*j + 4373, -1284 - 2216 = -4*h + 4*j. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 34 - 34 = -3*f, -4*f - 4*m = -88. Suppose n - 65 = 6*n + 2*z, 4*n - 4*z + 80 = 0. Let j = n + f. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.1. Let v = 188 + -191. What is the closest to w in -5, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3\/4 + 198879*b**2 - 4773528*b = 0.\nAnswer: -265196, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -34290 (b) 0.5 (c) -0.3 (d) -1\/4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2\/5)*q)\/q)\/(q*q**(1\/3)\/q*q))\/((q**(-1\/6)*q)\/q*q**(-3\/11)) assuming q is positive.\nAnswer: q**(167\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63087549 to the power of 1\/2, to the nearest integer?\nAnswer: 7943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 668 = 434 - 309. Solve -d*x = -21*x + 40 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -0.06 (c) -2 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24783 or 1?\nAnswer: 24783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2885 - 11?\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)\/(1\/115). Let h = f - 50. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11443*k*l**2*w**3 - k*l*w**2 + 2*k*w**2 + 2*l**2*w**2 - 48*l*w - 2*l wrt w.\nAnswer: 68658*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose k = z - 0*z - 5. Suppose -36 + 301 = z*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvhj when four letters picked without replacement from hjjvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g + 7 - 3*g**3 - 6*g**2 + 4*g + 2*g**3. Let v = 17605 - 17612. What is q(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 4*k. Let w(i) = i**2 + 2*i + 1. Let x(m) = 4*m**2 + 9*m + 5. Let f(p) = k*x(p) - 9*w(p). Let o(n) = 3*n**2 - 2. Determine 2*f(r) + o(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97.677 + 99.3. Let q = j + 0.027. What is q rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose 29 = -9*o + 56. What is the second biggest value in k, -0.4, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 plus -253259?\nAnswer: -253261.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 4, -1\/176 in ascending order.\nAnswer: -1\/176, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 39. Suppose 3*x + b*v = -3*v + 24, -2*v + 10 = 0. Suppose -5*c + 2*r = -2*r - 5, -3*c + 4*r + x = 0. Sort 2, c, -5 in descending order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28366, 227401, 767636, 1819669, 3554098, 6141521?\nAnswer: 9752536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**2 - 6*n. Let x = -25 + 26. Let r be d(x). Suppose -2*t = r*i + 3*i - 222, -i - 555 = -5*t. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 196 - 97 + 50826*s.\nAnswer: 50826*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 f when three letters picked without replacement from myywyfymywym.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -140112040 (base 6) to base 13\nAnswer: -774684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/3 + 33752*j**2\/3 + 1217738*j\/3 - 1251488\/3 = 0. What is j?\nAnswer: -37, 1, 16912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/180*16\/(-20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 298\/3. Suppose -19 = 70*y - 159. Let u(q) = -q**2 + q - 1. Let d be u(0). Which is the nearest to d? (a) y (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 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: Find the common denominator of -59\/10 and (-13 + (-459)\/9)*(229\/115 - 2).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgeqkoqkquuukqkukk. What is prob of sequence go?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 1\/2*n**4 - 8*n + 8*n**2 - 10\/3*n**3 + 14. Suppose p(d) = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.535 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -742\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 8 = -2*f, 4*f - 16 = 2*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 g when three letters picked without replacement from {u: 1, g: 1, h: 1, n: 2, w: 1, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363 divided by -11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -4*m + 40, -13*m + 15*m - l - 9 = -9 + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27465100 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 806 and -0.2?\nAnswer: 806.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/21 and 34\/80 + (34\/(-12))\/(-17)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*k**3 - 15*k**2 - 885?\nAnswer: 162*k**2 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in -13, 0.1, -25\/2, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 170.1. Which is the third smallest value? (a) 0.3 (b) l (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9759294, -19518586, -29277878, -39037170, -48796462?\n\"Answer: -9759292*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -19*v**2. Let j(i) = -7*i**2 - 2*i - 23. What is j(a(q))?\nAnswer: -2527*q**4 + 38*q**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40123 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1400\/525 + (0 - (-1)\/3). Let r(q) be the third derivative of -q**6\/120 + q**4\/6 + 22*q**2. What is r(j)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1963, 5224, 9787, 15652, 22819?\nAnswer: 31288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274 + 274 - 3*k - 15*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43149745, -43149744, -43149743, -43149742, -43149741, -43149740?\n\"Answer: r - 43149746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1991*x**4 - 30*x**3 - 60667*x**2 - 1 wrt x?\nAnswer: -47784*x - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279961?\nAnswer: 11, 31, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 1\/3 - (-286)\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 284, -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -238\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5) - (-42)\/70?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852618 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:58 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -189203 at most as big as -189202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15417 and 6?\nAnswer: 30834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2468\/7 + 352. Suppose 0 = 3*a + a - 24. Let p be a\/(-2) + 20\/6. What is the third biggest value in 0, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 11. Suppose 15 = 2*s - r + 4*r, 5*s - 47 = 2*r. Let w(q) = q + 0*q + 4 - s*q**2 + 8*q**2. Calculate w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 21652*j**3 + 500*j**2 - 5*j + 5203. Let t(m) = -10826*m**3 - 200*m**2 + 2*m - 2602. Let a(d) = 2*b(d) + 5*t(d). What is the derivative of a(y) wrt y?\nAnswer: -32478*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 3*l + 14*l**2 + 2*l + 3 + l**3. Let c be q(-10). What is the greatest common factor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -136044*h**2 + 3*h - 1. Let c(i) = -3*i**2. Calculate b(c(t)).\nAnswer: -1224396*t**4 - 9*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -21 + (-10 - (-7 + 10 + -5)) + -42?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 33117.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 - 107 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 4*p + 7. Let k be h(7). Let b = 49 + k. Let o = b + -42. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 3*w**2 - w - 7. Let s be i(4). Solve s*o = t - 5, -5*t - 3*o + 5*o = 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -239*1*1841 - 2. Let n = -2 - -5. Let m be (-3)\/((-9)\/n) + t. What is m rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 25*l**2 + 1 - 30*l**2 + 6*l + 47*l**2.\nAnswer: -8*l**2 + 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -79*y + 2. Let w(l) be the first derivative of -l**4\/4 + 6*l**3 - 19*l**2\/2 + 32*l - 14. Let c be w(17). List the prime factors of s(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 - 153.999672. What is g rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 135, 156, 195, 258?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + (-94)\/(-8). Suppose -3*q - r = -4*w + 2*q, 0 = -5*w + 4*q + 15. Suppose -4*b - 4 = -4*i, -w*i + 12 = 5*b - 15. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.8041 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 12 = 0, o - 20 = 5*n + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12595, -25108, -37575, -49996, -62371?\nAnswer: -74700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2146723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-17))\/a)\/(a**(-20)*a) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -105483578 greater than -105483584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282418?\nAnswer: 2, 3, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55042254 by 27521127.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39349 + -26865. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(50) + (sqrt(250)\/sqrt(5))**2).\nAnswer: 10*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -2a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcqrqr. Give prob of picking 1 c and 2 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.156 - -136.556. Let v = s - 151. Round v to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 790, -4 in increasing order.\nAnswer: -5, -4, 5, 790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, n: 4, g: 2, d: 3}. What is prob of sequence nn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13145*z**2 - 9 + 26246*z**2 + 2*z - 13135*z**2)*(-6*z + 0*z + 4*z)*(-z - 5*z + 4*z).\nAnswer: -136*z**4 + 8*z**3 - 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71972 is divided by 14238?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/7 - (-18)\/2*1. Find the third derivative of -36*l**6 + 4*l**2 - l**5 + l**5 + 24*l**y wrt l.\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -2700001*l**2 + 6*l - 25. Let r be y(3). What is r rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2224 and 8?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548116436?\nAnswer: 2, 7, 19575587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w - 3*w + 0*w)*(-2*w + 2*w - w) - 17*w + 20*w**2 + 17*w + (-3*w**2 + 0*w**2 + 5*w**2)*(-5 + 4 + 0) as s + d*w**2 + m*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -20. Let c be ((-84)\/35)\/((-2)\/x). Suppose 3*z + 156 - 440 = 2*k, -2*z + 194 = k. Calculate the greatest common divisor of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526987 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136)*-2 - sqrt(136)) + sqrt(136))\/(2*sqrt(128)).\nAnswer: -17*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b**(-2\/9)\/b))\/b)\/b**(-2)*(b**(1\/4))**(-2\/15) assuming b is positive.\nAnswer: b**(377\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*42743\/(-20)*-1. Let v = 2138 - y. What is the common denominator of v and -97\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.165 + -0.1982. What is q rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*x - 4*g + 8576 = 0, 1721*g = 1724*g for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 147\/(-42) + (-150)\/(-20). Solve -u*z - 3*c = 6, -4*z - 128*c = -133*c - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k = 20*k + 74*k + 5146 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(168) + -2*sqrt(168) + sqrt(168))*4 - -6*(sqrt(168) - 2*sqrt(168) - sqrt(168) - sqrt(168)))\/(sqrt(600)*-1*6) + 0)*-4)**2 + -3.\nAnswer: 933\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -339*y - 416.\nAnswer: -339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25552 (base 8) to base 3\nAnswer: 120020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5852517 and 0.4.\nAnswer: 0.23410068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2260079351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 + 132 + 77*i in the form w + l*i and give l.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/360 + o**5\/120 + o**4\/6 - 3*o. Let g(b) be the third derivative of q(b). Calculate g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 17*h**2 + 16*h + 19. Is d(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*j + 10*j + 12*j - 6*j + 5*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2100 - -1397. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912545 is divided by 13034.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 + -4. Let v = 1.7 - h. Which is the nearest to v? (a) 3 (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1353 and 38\/21.\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(2597\/(-147))*28*(-15)\/(-18)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36208 and 66?\nAnswer: 1194864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2170 equal to -2168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0 + 1\/2*g**3 + 0*g**2 + 2*g + 1\/4*g**4. What is the second derivative of j(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 103*x**2 - 232*x**2 - 47*x**2 - 190*x**2 - 2 - 184*x**2. Let j(l) = -2*l**2. Give j(n(y)).\nAnswer: -605000*y**4 - 4400*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.036 - -0.005. Let c = -240.873 - -241. Let r = c - f. Round r to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/352070 and 1\/774554?\nAnswer: 3872770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 761 = -647. Let y be (2\/(-4))\/(1\/(-78)). Let o = y + n. Sort 0.02, o, 3 in decreasing order.\nAnswer: 3, o, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*i - 9. Solve -5 = i*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 842836 - 572559 + 1125907 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*n**2 - 101*n**2 - 87*n**2 - 1276*n**3 + 107*n**2 - 157*n**2 wrt n?\nAnswer: -7656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323323 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 12*p**2 - 11*p + 6. Let m(c) = -3*c**3 - 2*c**2 + 4*c. Let o be m(-2). Suppose -2*n = 4*d + 34, -n = -3*d - o - 30. What is s(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47\/203 - 1\/58. Find the common denominator of (2\/(-30))\/((-4)\/138) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 3*w**5\/20 - 5*w**4\/6 + 20*w**3\/3 - w**2\/2 + 2*w - 6. Is s(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 115. Let q = x + -33. Put -1, -2, q in increasing order.\nAnswer: -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53890 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.006063+0.1\nAnswer: 0.106063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 - 3.8. Let l = -2 + -0.02. Let u = l - -0.02. Which is the fourth smallest value? (a) -0.1 (b) r (c) 0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 8*u**2 - 6*u - 5. Let q be x(7). Suppose -q*j = -8*j - 54. Which is smaller: j or 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -234 + 248 + (-1 - 15) + 98?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*g + 3*k, 3*k = 4*g + 6*k - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 25 (b) -6 (c) -0.53 (d) -0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 15, 5*f + 11 = -2*h. Solve 5 - 1 = -h*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8682 - -8677. Let n(v) = -7*v**3 + 3*v**2 + 3*v - 2. Let g(m) = -7*m**3 + 2*m**2 + 2*m - 2. Calculate w*g(k) + 4*n(k).\nAnswer: 7*k**3 + 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u**3 + 5*u**5 - 375*u + 50*u**4 + 375*u = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20*c**3 + 120*c**2 - 6*c - 134. Let d(p) = 4*p**3 + 24*p**2 - p - 27. Let x(a) = -14*d(a) + 3*o(a). Factor x(g).\nAnswer: 4*(g - 1)*(g + 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y - 161. Let c(i) = 17*i + 108. Determine 7*c(g) + 5*q(g).\nAnswer: -g - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -546770 bigger than -546780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -2, -7, -27, -3, -9 in descending order.\nAnswer: 4, 0, -2, -3, -7, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41212414 (base 5) to base 7\nAnswer: -2564503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78, -72, -66, -60?\n\"Answer: 6*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1534, -15424, -53052, -126286, -246994?\n\"Answer: -1978*m**3 - m**2 - 41*m + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -243*a - 240*a + 498*a - 240495. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0\/4)\/(1 + 0))\/(-2). Suppose 4*r - 94 = 2*d, s = -2*d - 2 - 4. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.01, -2\/5, -3.\nAnswer: -3, -2\/5, -0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/16)\/(7\/(-3)*1*(-153)\/833)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 10*u + 8. Suppose -u*y = 3*z - z + 22, 3*y + 4*z = -38. Let s be (2*15)\/(y + 2245\/375). What is s rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4533 and 2737932.\nAnswer: 2737932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6127.\nAnswer: 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i + 6 = -42*i - 5*w, -19 = -4*i + 3*w for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -117 - (10 - -1 - 13)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3327, -27486, -93065, -220776, -431331?\nAnswer: -745442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -12. Let x be (10\/(-12))\/(g\/66). Suppose -x*a = -3*a. Solve a*t = -t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12*a - 5612 + 5609 - 5*a + 6*a**2 - 2*a. What is q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -70, -0.05 in decreasing order.\nAnswer: 0.05, -0.05, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3 - (-1 + -1)) + (25 - 28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-7 - 4 - -7 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 1\/2 (c) -8\/17 (d) 103.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01077 (b) -13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 3*j**3 - 2*j + 6*j. Let x(v) = -v**2 + 14*v - 13. Let t be x(10). Suppose 7*g - 40 = t*g. Let w(o) = -o**3 + o. What is g*w(m) + b(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -11 + 7. Let u be -1*(7 + b)*(-6)\/9. Suppose -u*d - 63 = -381. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3176, -11649, -25414, -44471, -68820, -98461, -133394?\n\"Answer: -2646*s**2 - 535*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112791184.\nAnswer: 2, 3, 7, 19, 107, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*d**3)*(2 - 6*d**2 + d**2 - 38*d**2).\nAnswer: 172*d**5 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000 (base 4) in base 3?\nAnswer: -21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*r + 9*r + 1170. Suppose 2*w - 6 = 0, 0*w + r = 3*j + 3*w. Calculate the highest common factor of 69 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28305285\/32 + -884622. Let k = 165877\/2016 + d. What is the common denominator of -27\/28 and k?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 1525940644?\nAnswer: -1525940644.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 68. Calculate the lowest common multiple of j and 4752\/55*(-545)\/(-327).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((4*-2*sqrt(190) - sqrt(190)) + sqrt(190) - (sqrt(190) - -2*sqrt(190)*1))\/(1*sqrt(1210)*3))**2.\nAnswer: 2*sqrt(19)\/3 + 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) 8.5 (c) 52 (d) 0.54 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/12 - 2*r**3\/3 - 5*r**2\/2 - 6*r. Let n be h(-4). Let a = n + 5. Solve -4*s - 2*m + 4*m + 24 = a, 5*m = -4*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-13)\/11 - -3. Let u = 66\/1813 + 452\/1813. Which is the closest to u? (a) -0.2 (b) -5 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oifi when four letters picked without replacement from {g: 6, z: 1, f: 2, o: 2, i: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/6 - (-2)\/1. Suppose -3*i + 2*y = -l, y - 4*y - 6 = 0. Suppose i = -2*r + 57 + 45. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.9277091 to one dp.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*l - 16, -3*x = l + 2*l - 18. Let m(j) = x - 3 + 54*j - 50*j + 2*j**2. What is the tens digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, g: 1, y: 1}. Give prob of picking 4 t.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1701261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61904 + -54?\nAnswer: -61958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/40 - (-119)\/616.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {w: 2, o: 4, q: 1, j: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3241 + 48.538.\nAnswer: 3289.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 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(x) = 3*x**3 - 42*x**2 - 201*x + 49. Give w(-6).\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -373686 times -14?\nAnswer: 5231604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 437617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 2218*g - 13287. Calculate o(6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a - 64*a = -163 + 49 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 40*h**3*x + 7*h**3 - 2*h**2*x - 2*h*x - h - 304*x wrt h.\nAnswer: 12*h**2 - 240*h*x + 42*h - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2876, 9683, 21024, 36899?\nAnswer: 57308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*s - 1171 + 34 = -7697 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 5*x**2 - 61*x - 157. Let d(k) = -k**3 - k**2 + k + 1. Let l(y) = 12*d(y) - 4*t(y). Determine u, given that l(u) = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8467735.19 rounded to the nearest 10000?\nAnswer: -8470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1\/3, 2, -3, -0.9, 19 in increasing order.\nAnswer: -25, -3, -0.9, 1\/3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1030*x - 1229. Is h(-79) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 3*o + 1. Let m be g(-4). Which is the third smallest value? (a) m (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.4954145 rounded to zero dps?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100943908.\nAnswer: 2, 13, 1941229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 17791\nAnswer: -3\/17791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 a factor of 86399541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and (-1080)\/162*(12\/15 - 2).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7505 - -7504.6. What is the closest to 0.2 in -14.2, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*y**2 + 94*d**2 + 6233*d*y**2 - 2*d*y + d - 1 wrt y?\nAnswer: 2*d**2 + 12466*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24207962 is divided by 245.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/2 + 23*b**2\/2 - 39*b = 0 for b.\nAnswer: -26, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -836*h + 713*h. Let n be (-4)\/6*3\/(-293). Is h at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g + 6*g - 13*g - 14*g**3 as r*g**2 + v*g**3 + q*g + o and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1655, 1654, 1653, 1652, 1651, 1650?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80142 and 162?\nAnswer: 2163834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**2 - 221. Let h(n) be the third derivative of -7*n**5\/60 - 2*n**2. Determine v(h(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/13 + 76\/13. Suppose -3*t - 2*b - 172 = -j*t, 5*b - 260 = -4*t. Suppose -r + t = 4*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -17*j + 311. Let i(k) = -10*k + 156. Determine -3*g(s) + 5*i(s).\nAnswer: s - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 226153 (base 10) to base 15\nAnswer: 4701d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16811499 is divided by 161649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -304 in increasing order.\nAnswer: -304, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/55? (a) 1 (b) -1\/8 (c) -0.05 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 (base 8) in base 5?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**2 - u**3 + 102*u**2 - 44*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -1. Suppose -5*g = -37*z + 34*z + 32, 5*z = g + 24. What is the smallest common multiple of h and 18*(54\/12 - z)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -5, -20, -47, -92, -161, -260?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.089 + -0.043. What is w rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 367918*l\/5 + 367916\/5.\nAnswer: 2*(l - 183958)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let c(z) be the first derivative of 3*z**2\/2 - 8. Calculate c(g(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 5:48 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:07 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 11 + 0 + 14*j**4 + 2*j**2 - 3 - 5*j**4 to the form u*j**2 + l*j + r*j**4 + f + s*j**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13*a)\/a**(4\/7) assuming a is positive.\nAnswer: a**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 79 = 2*s, 5*s - 3*w = -0*w + 151. Let p = -109 + s. Let x = p + 87. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13968 = -23*w + 7*w. Let m = -461 - w. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -174.04 in -68, -2, -3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-120)*4)\/(10\/(-36)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*-3 - 0. Suppose -o = j*m, 0 = o + 3*m - 6*m - 10. Calculate the smallest common multiple of -3 + (5 - -2 - 3) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248544797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -4 in increasing order.\nAnswer: -4, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1537533, -3075069, -4612605?\nAnswer: -6150141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -2*f - 3*d, 3*f + d = 5. Suppose w - 48 + 20 = -5*b, f = 3*b + w - 18. Suppose -b*i + 46 = r, i - r - 24 = -i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + -3.6. Let j = -11 - y. What is j rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 26 + f - f**3 - 21 - 1 + 0*f. What is the least common multiple of r(-3) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1100001001011011?\nAnswer: -1100001001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 7. Let a be q(-5). Suppose 4*h - a*m = -0*h + 28, -2*h = m - 4. Suppose h*y - 2*l - 26 = 0, 0 = -4*l + l - 15. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310113 + -1?\nAnswer: 2310112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**4 + 24*i**3 + 36*i**2 + 24*i + 15. Let b(v) = v**3 - v + 1. Let s(t) = -6*b(t) + d(t). Factor s(q).\nAnswer: 3*(q + 1)**3*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18011, -35831, -53651, -71471, -89291?\n\"Answer: -17820*i - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c - 5. Is o(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*s - 23*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let v(g) = 60*g + 2. Let a(w) = v(w) + 3*z(w). List the prime factors of a(1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z - 117. Let b be c(-11). Let g(y) = -y - 8. Let w be g(-10). Suppose b*t - 2*d = 678, 5*d = -5*t + w*d + 875. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -636*s**2 + 2*s - 762. Let c(n) = -1282*n**2 + 5*n - 1524. Let g(k) = -5*a(k) + 2*c(k). What is the derivative of g(j) wrt j?\nAnswer: 1232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd77b + 3?\nAnswer: -bd778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 31839985 = -4*y, 60*c - 59*c - 3 = 0. Round y to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59290453 to the nearest integer?\nAnswer: 7700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-240)*2*88\/(-22).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17927)\/(-4137)*(-555)\/65.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l + 1\/3*l**2 + 0 - 2\/9*l**3 + 1\/18*l**4. Factor y(m).\nAnswer: 2*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 - 2\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430149 is divided by 381?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8c8d (base 14) to base 2.\nAnswer: -1101101001000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 5. What is the remainder when 47 is divided by j(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyvak. What is prob of sequence hv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 569059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8171199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 0. Let n be -1 - 0 - -2 - 0. Let u(r) = 2*r**3 + r**2 + r - 1. Let c be u(n). Is c at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/124, 1\/8, 0.411 in decreasing order.\nAnswer: 1, 0.411, 1\/8, 1\/124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -604378\/9 and -67152 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/(-91) + (-2)\/(-7). Suppose -3*l - 4*h + 16 = d, 2*l - 22 = -3*h + 6*h. What is the remainder when -4*(-4)\/l - -47 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:07 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + 5*x - 2*x**2 - 4*x - 5908.\nAnswer: -2*x**2 + x - 5908","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -13*n - 64. Let p(m) = m**2 - m. Let d(k) be the third derivative of -k**5\/12 + 11*k**4\/24 - k**2 + 41*k. Determine n*p(c) - d(c).\nAnswer: -c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 0.625.\nAnswer: -2.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 + (32 - (-10 - -32)) + (8 - -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -229, -318, -387, -430, -441, -414, -343?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + -201?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -47*m - 1173. Let c be t(-25). Let h(q) be the second derivative of 0 + 5\/2*q**c - 1\/6*q**3 - 15*q. What is h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1 (c) -0.2 (d) 52\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + x. Let m(r) = 7*r**3 - 3*r**2 + 8*r + 2. Let z(l) = m(l) - 6*v(l). Let f = -20 - -22. Determine z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.44. Let i = -0.1 - c. Let h = 0 + i. What is the third biggest value in -1, h, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -4560405?\nAnswer: -4560406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -60*60\/255 + 14\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + -2 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1073555 and 1073555.\nAnswer: 1073555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 7*m - 20. Let v(k) = k**2 + k - 1. Let j(z) = z**3 - 2*z**2 - 4*z + 2. Let q be ((-4)\/6)\/(2\/(-3)). Give m*v(y) + q*j(y).\nAnswer: y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -100.7. Let m = p + -8.9. Let w = -6.7 - m. What is the closest to w in 2, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64051136 divided by -174052.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*r**3 - 6*r**2 + 3*r**2 + 2*r**2.\nAnswer: -136*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 + -223. Calculate the remainder when 69 is divided by (a + 0)\/((-138)\/(-368)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**3 - 8\/15*l**5 + 2*l**2 + 6*l - 19\/24*l**4 + 0. Find the second derivative of s(i) wrt i.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -784167 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5308 is divided by 881?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14261.\nAnswer: 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 3*t. Let b(h) = 4*h**2 + 11*h. Let j(y) = 6*b(y) + 22*x(y). Let n(f) = -34*f. What is n(j(a))?\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4128 and 120.\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -103, -111, -125, -145, -171, -203?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.411828um?\nAnswer: 0.000002411828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3296836 divided by 1\nAnswer: -3296836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (451\/(7078896\/6048))\/21.\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 + 8*f - 16. Let p be j(4). Suppose p = -4*y + 2 + 10. Let g(k) = 6*k**2 + 0*k**2 - 2*k**2 - y*k**2. Let q(l) = -47*l. Give g(q(t)).\nAnswer: 2209*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44084 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.658 and 101287.\nAnswer: 101274.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82930 is divided by 3413?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/504 + f**6\/60 + f**4\/3 - 8*f**2. Let z(l) be the second derivative of y(l). Find the second derivative of z(j) wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-10 - (0 + -19))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/1078*2)\/(2\/(28\/(-2)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p**2 - 1246*p + 21958. Calculate t(18).\nAnswer: 2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4156.4 take away -3?\nAnswer: -4153.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(sqrt(1296)*-1 + sqrt(1296))\/sqrt(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from oukouookooo.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 15*v**2 - 528*v + 102. Calculate w(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, m: 1, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 a, and 1 j when four letters picked without replacement from jetjmaneetae.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 107*s + 1728 = 0. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 20103000 (base 4) in base 5?\nAnswer: 2041414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let s(l) = 5333*l + 46. What is c(s(x))?\nAnswer: 10666*x + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r. Let k(d) = -14192*d. Determine k(o(g)).\nAnswer: -99344*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 8*l**2 - 7*l + 3. Let x be q(7). Suppose -639 = -5*f - 2*r, -22 = -2*f + x*r + 245. What are the prime factors of f?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1188 (b) -4 (c) 0.3 (d) -2\/777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(504\/(-153))*-13*(-19)\/(741\/(-12))?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6950785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 223*z**2 + 2299*z + 49161. Give f(211).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877933 to the power of 1\/2, to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0 + 9*r)*(0 + 4*r + 0) in the form g*r**2 + i + f*r and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**4 - t**3 + 23*t + 1. Let f(b) = -9*b**4 + 1952*b**3 + 3708*b**2 - 543*b - 389. Let a(s) = -2*f(s) + 22*u(s). Let a(z) = 0. Calculate z.\nAnswer: -2, -1\/4, 2\/5, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + p**2 + 0*p**2)*(1 + 4*p**2 + 2*p + 6 - 6*p**2).\nAnswer: 2*p**4 - 2*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 375*q\/4 + 187\/2.\nAnswer: (q - 374)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -596 + -52. Let b be (-1)\/(-5) + q\/(-10). Let h = b - 62. What is the second biggest value in -5, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10214 + 1023324?\nAnswer: 1034043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 + 7*z + (5*z - 5*z + 2*z)*(-5 - 1 + 2)*(-6 + 7 - 7).\nAnswer: 55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1 + 36\/(-828)*0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928952 divided by 1314?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.000078 + 21. What is a rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:18 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882\/34531 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20083 or -20086?\nAnswer: -20083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1135334 (base 6) to base 9\nAnswer: -100584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + m**2 - 20*m - 9 + 27*m**3 + 19*m in the form u*m**2 + c + r*m**3 + d*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4868 (base 10) to base 13\nAnswer: -22a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*j - 4*l, -4*l - 19 = -2*j - 3*j. Suppose -128 = -j*a + 316. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/4 + 2*c**3 - 9*c**2\/2 - 21*c - 300. What is s(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from eygxeexggeegggeweewg?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3333905 is divided by 144952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 110, 156, 210, 278, 366, 480?\n\"Answer: h**3 - 2*h**2 + 45*h + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u + 53. Give x(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 4*h + 3*h + 8*h.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) -33 (c) -205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 66*b - 149. Let g(c) = -23*c + 50. Give -8*g(i) - 3*l(i).\nAnswer: -14*i + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4*z + 243*a**3*z + 34*a**2*z - 5*a**2 - 2*z wrt a?\nAnswer: 72*a*z + 1458*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -902400 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.656084 to 2 dps.\nAnswer: 6.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 1349648.2\nAnswer: 1484613.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/81 and -62\/9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(8\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 11*w**6\/10 - 77*w**3\/6 - 184*w**2. Let f(u) = -7*u**3 + 4. Calculate 77*f(j) + 4*n(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 47*x**2 - 1455*x - 24. What is the units digit of h(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1341481923 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 2*m + 1. Give v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - j = -0*r + 20, -j + 5 = 0. Suppose -w = r*c - 2*w + 262, 5*c + 266 = 3*w. Let s = c - -59. Sort -1, s, -5 in descending order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -47*x**3\/3 - 81*x**2\/2 + 42. What is the second derivative of f(j) wrt j?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 0.6 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.05 + 28.5. Let z = b - 107.05. What is z rounded to zero decimal places?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2541*3.3.\nAnswer: 8385.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -28 (c) -0.3 (d) 0.06462\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(2057) + (sqrt(2057) + -2)*-6 - sqrt(2057))**2.\nAnswer: -148397 + 3168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 3*y)*(-498*y + 914*y + 343*y).\nAnswer: 759*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 111 = 2*b, -4*w - w + 2*b + 151 - 298 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/((-5)\/(-80)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 3*c**3 - 130*c**2 + 372*c + 504.\nAnswer: (c - 6)**2*(c + 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, 2, 183 in descending order.\nAnswer: 183, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = 0, 5*q + 1 = -3*m + 52. Solve -m*s + 20 = -22 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/54)\/((-1)\/(-57)). Let r be (-7)\/(-28) + h\/8. Solve -2*d - f + 2 = -d, 5*f - r = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 542 - 1768. Let x = 387 - w. Factor 5\/2*h - 1\/2*h**x - 3.\nAnswer: -(h - 3)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8338081 is divided by 1042.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) -5 (c) 0.02 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - -4 - -25) + -32.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 12 = f + 15, 3*f + 9 = -j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44349.67 + 43896. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 2*s**2 + 2. Let i be b(-2). Let a = 45 - 50. Let x be (2 - 1)\/1*(-5)\/a. Calculate the highest common divisor of x and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63621 by -4.\nAnswer: 63621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 9*q**2 - 8*q + 2. Let t be (-6 - 1)*(-72)\/(-84). Let n be z(t). Let m be n\/60 - (-1)\/6. What is the second smallest value in m, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 127. Let k = 952 + -3807\/4. Which is the closest to k? (a) -3\/5 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 392 = -z. Let v(w) = 20*w + 8. Let p be v(7). Suppose 0 = 5*h + 2*b - 4*b - p, -5*h + b + 144 = 0. What is the greatest common divisor of h and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3728 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/56)\/(-3)*(-2)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513089803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -436.154 * -367.\nAnswer: 160068.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roy when three letters picked without replacement from yyyiosriyriyyy.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1300)*2)**2 + -4 + (sqrt(1872) + -2 - sqrt(1872)).\nAnswer: 5199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -134*x - 19411. Let b(r) = 3*r**2. Determine g(b(u)).\nAnswer: -402*u**2 - 19411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 6. Solve -3*z - 4 = -2*a, -z = 3*z + d*a - 33 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2261, 18590, 63073, 149786, 292805, 506206, 804065, 1200458?\n\"Answer: 2346*o**3 + o**2 - 96*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, k: 1, j: 1, q: 1}. Give prob of sequence qd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, -606?\nAnswer: -606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, -4, 44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2113 - 2136. Let w = 67 - 67. Put w, h, -4 in increasing order.\nAnswer: h, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 + p**5 + 2*p**5 + 70 - 56*p**5 - 70 + 2*p**5 - p**5 - 2*p**5 + (0*p**3 + 3*p**3 - 2*p**3)*(0*p - 2*p**2 + 0*p) - 2*p**5 + 2*p**5 - p**5.\nAnswer: -61*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.1. Let w(g) be the first derivative of g**2\/2 + 15*g - 6. Let m be w(-10). What is the second biggest value in m, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u - 3*u)*(-u**4 - 34 + 197723*u**2 - 197723*u**2).\nAnswer: 4*u**5 + 136*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2749, -10570, -23613, -41884, -65389?\n\"Answer: -r**3 - 2605*r**2 + r - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:34 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1103203, 4412823, 9928855, 17651299, 27580155?\n\"Answer: 1103206*c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457\/9 + 51. Which is the second smallest value? (a) 0.2 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 31*i**3\/3 - 5*i**2\/2 + 5*i - 21. Is 23 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2730, 5452, 8172, 10890, 13606, 16320?\nAnswer: 19032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) -1 (c) 0.2 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6 = p - 11, 6 = 2*p + 4*c. Suppose -4*q = 5*j + p, -7 + 8 = 5*q + 3*j. Solve -w + 3*s - 10 = -2*s, -q*s = -2*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1404 - -1799.8710659.\nAnswer: 395.8710659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-58)\/(-87)*(2 + -5 + 0). Put -4, 3, z, -1 in descending order.\nAnswer: 3, -1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5642 and 626806453?\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/2 + 8939199*u**3 + 79909350275161*u**2\/2 + 319636972019220*u + 639273657984200 = 0. Calculate u.\nAnswer: -8939195, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -72. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302451382*r**3 + 85595967*r**2?\nAnswer: 1814708292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 135*w - 1071 = 34*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**3 + 3*i**3 - 2*i**3 + (1 - 54 - 15)*(8*i**3 - i**3 - 3*i**3).\nAnswer: -278*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/((-3)\/12))\/(-2). Suppose -2*y + 5*v = y + 13, r*y = 2*v - 2. Solve 0*s + 2*s = y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c7 - 428a9b?\nAnswer: -4289a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2578\/9 or -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 29?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y - 4*p - 1, p = y + 1. What is the remainder when (-1)\/((10\/16)\/y) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/94744 and -57\/521092.\nAnswer: 1042184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 14*v + 40*v - 14*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/5 - 2898*p**3\/5 - 705636*p**2\/5 - 556998*p - 2082249\/5 = 0. What is p?\nAnswer: -481, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 5*m**2 + 5*m + 7. Determine h(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1901 + 1901 + 55*g)*(4 + 0 - 2) + g + 9*g - 2 + 0.\nAnswer: 120*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11409163 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -545828.92 rounded to the nearest ten?\nAnswer: -545830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and -12.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1013303, -1013304, -1013305, -1013306, -1013307?\n\"Answer: -v - 1013302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 15\/217 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 105*g - 104*g = 8, 2*g - 4 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.1 (c) 9318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from {m: 4, r: 1, y: 7, d: 6}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*(-10 + 0). Solve -p*a + 4 = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -0.5 (b) 2\/3 (c) 2.02 (d) -3\/31 (e) 0.5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-105)\/(-100) - 1)*-4. Let u = -31.96 - -35. Let p = -0.04 + u. Which is the closest to 1? (a) -3 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + -114. Let r = u + 132. Sort r, -0.3, 0.2 in descending order.\nAnswer: 0.2, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2. Let l be o(-1). Factor 2*u**2 + l*u + 3*u + 4 + 3*u - 2*u.\nAnswer: 2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6055 (base 7) to base 8.\nAnswer: 4062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/144)\/((-3)\/(-9))*(-126)\/21.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 17 - 2. Suppose -3*l - 24 = 4*i, 5*l + 2*i = -0*i - 26. Sort y, 5, l in increasing order.\nAnswer: l, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 3*z**2 - 5*z + 7. Let h be d(7). Suppose -5*s + 42 = -h. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 1 - 3 + 6)*(-3 + 3 - 2*k)*(-22619 - 420*k**2 + 22619).\nAnswer: 840*k**4 + 1680*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (3 - (4 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from zzdlazzalzazaanalzda.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -75?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 + (-505)\/(-25). What are the prime factors of y\/(-25) - 708\/(-10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 161 = l, -2*l - 4*x + 262 = -30. Let b be l\/36 - 4\/18. Suppose -b*z + 3*z = -12. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-655)\/262)\/(15\/(-3))*46\/1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0614 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*y + 219, -3 = 2*o - o. Let w be y\/(-16)*(-2)\/6. Which is the closest to w? (a) -4 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 6*g)*(-1472 + 1472 + 64*g) as o + a*g**2 + b*g and give a.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*y**2 + 10*y**3 + 76*y**2 + (-4 + 5 + 1)*(0*y + 0*y - y**3) - 124*y**2 + 124*y**2 - 253*y**3 in the form f*y**3 + w + u*y + p*y**2 and give f.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -140.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1155 and 57585?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1354 + -1352. Solve -4*y + 12 = -s*f, -2*f + 5*y - 25 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -14*z**6\/15 + 6*z**5 - 43*z**4\/3 + 16*z**3 - 8*z**2 - 12*z. Determine j so that n(j) = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + d)*(-5*d**4 - 41*d**3 + 41*d**3).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1523 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34bd59d - 6?\nAnswer: 34bd597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 24. Suppose i = 6*s - 23 - 421. List the prime factors of s.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8979318 to the nearest integer?\nAnswer: 2997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30732)\/(-1379))\/((-84)\/196).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = -f. Let p(x) = x + 1. Suppose 3*z - z - 15 = -i, 3*i = 3*z + 63. Let u(j) = 8*j + i - 9 + 2*j. Calculate f*u(s) + 8*p(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1865*d**2 - 507 + d - 9277*d**2 - d + 509 to the form r + q*d**2 + k*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3483 - -3484. Let m(s) = -2*s**3 - s**2 - 8*s + 8. Calculate m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/228765 and -42\/5.\nAnswer: 228765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 10, s: 1, o: 2, w: 1, j: 2}. What is prob of picking 1 w, 1 j, and 2 m?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2576, -10384, -23416, -41672, -65152, -93856?\n\"Answer: -2612*q**2 + 28*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-5)*2\/(-6). Let s = 195 + -199. Does s = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 + l - 9. Suppose 4*k - 2*c + 12 = 0, -k - 5*c + 6*c - 1 = 0. Let x(m) = -4*m**2 - m + 5. Determine k*x(w) - 3*i(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 33 = -13*r + 34, 8 = x + 165*r - 163*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 98, 296, 616, 1052, 1598?\n\"Answer: -d**3 + 67*d**2 + 4*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448387 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: Multiply -196364 and -0.4.\nAnswer: 78545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0096618158 to 5 dps.\nAnswer: -0.00966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3243 - 641. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221001112020 (base 3) to base 13\nAnswer: -143637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108.5187 + 0.0713. Let r = b - 108. Let a = 0.5900046 - r. What is a rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 17*l + 30. Let d be r(6). Let g = -19 + 20. Let o be 6 - 4 - (-4)\/g. Solve -4*n + n + o = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnen when four letters picked without replacement from {e: 4, b: 2, l: 2, n: 6, q: 2, t: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/70 in -2\/3, 4, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10654*((-2)\/1)\/16. Let k be (-10)\/35 - (-817242)\/(-616). Let h = n + k. Find the common denominator of 25\/16 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**3 - 5 - 108*r**3 + 5.\nAnswer: -93*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-116)\/(-10) + (1 - 15\/25). What is the highest common divisor of d and 2796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 179.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (63\/(-28))\/((-6)\/(-16)). Calculate the remainder when 7 is divided by (-5 + -1)\/(9\/t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17689 and 1463?\nAnswer: 194579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpusufnnuunnss. What is prob of sequence nspf?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.99254m to centimeters.\nAnswer: 8099.254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 + 4*x + 5. Let d be o(5). Suppose -3*b - b = d. Solve -2*p - 4*l - 30 = b, p + 10 = -2*l + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/144)\/5 + 1424\/(-90) + 5*1.\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.132 + -0.168. Let z = -1.6 + -0.2. Let i = z + -0.2. Which is the second biggest value? (a) i (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -48*g + 1094. Give p(6).\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) + ((-38910)\/3150 - -13)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3960543, 7921088, 11881633?\n\"Answer: 3960545*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -5*y**2\/2 - 10*y + 5. Let v be g(-5). Factor 23*b**3 + v*b - 31*b - 7*b**4 + 16*b - 6*b**2.\nAnswer: -b**2*(b - 3)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314672?\nAnswer: 2, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*j + 408 + 79 = -241*j + 86 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18*d**2 + 21*d - 20. Calculate m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 - 6*q + 4. Does 4 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7761 - 1428 + 11012 = -291*y + 3086 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.964 + 0.764. Which is the third biggest value? (a) -0.1 (b) o (c) -22\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.349 rounded to 1 dp?\nAnswer: -83.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 38, 64, 102?\n\"Answer: 6*y**2 - 4*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w + 1. Let b(s) = -3*s**2 - 7*s - 2. Let o(d) = -2*b(d) - 5*l(d). Let p = 415 + -412. What is o(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/3 - 11*x**3\/3 - 55*x**2 - 293*x\/3 - 140\/3 = 0.\nAnswer: -7, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:27 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - -16.4. Sort q, -0.1, -0.4 in ascending order.\nAnswer: -0.4, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-10)\/15). Let d = j + 5. List the prime factors of (2 - d)\/(3\/(-54)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 - 4*c - 4. Let j(n) = -10*n**2 - 7*n - 7. Let q(f) = 4*j(f) - 7*z(f). Let s(m) be the second derivative of m**3\/6 - 426*m. Determine s(q(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44265\/79677)\/(10\/168).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171120433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134098 + 0*t**2 - 133829 - 8*t**2 - 30*t**2.\nAnswer: -38*t**2 + 269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 145259 + 51070 + 10*d**2 + 123608 - 5*d**2 - 42837. Let i be j(0). Round i to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254014 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7 + 2\/7*o**2 + 12\/7*o.\nAnswer: 2*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -663626.\nAnswer: -663626, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 27027?\nAnswer: -27030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12*w + 20. Let b be i(-3). Calculate the greatest common factor of b and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -0.46. Let i = -0.1 - -0.3. Which is the closest to i? (a) -1 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*2\/(-12)*-69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 28508.\nAnswer: -1\/28508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + z**2 + 0*z**2)*(0*z**2 - 3*z**2 + z**2) + (-14*z**2 + 9*z**2 + 24*z**2)*(-z**2 - 4*z**2 - 3*z**2).\nAnswer: -156*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t**2 - 13. Let y(v) = 2*v**2 - 2. What is 6*i(m) - 39*y(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.6 - -6. Let x = 3.529 + -2.92. Let k = x + t. Round k to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011 (base 4) to base 9.\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1849085?\nAnswer: 5, 7, 23, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -19*m**3 - 17\/2*m**4 + 37\/2*m + 19\/2 + 1\/2*m**5 - m**2 = 0?\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-15))\/((-60)\/(-10))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/4389 and -155\/394758?\nAnswer: 82504422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k + 44 = 0. Let j(y) = -34*y + 241. Let h be j(6). Suppose -23*c + 9 = -h. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1887 divide 72500427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*w - 2502 + 7129 = -7356 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**5\/240 + 5*n**4\/192 - n**3\/24 - 4*n**2 + 9. Let u(h) be the second derivative of s(h). Factor u(z).\nAnswer: -(z - 2)*(2*z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*h = -65*h - 701 - 74 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4, -8*y - 7 = -2076*j + 2077*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81574, -81519, -81462, -81403, -81342?\n\"Answer: m**2 + 52*m - 81627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Suppose 2*s = g*s - 4. Solve 5*n = -s*u + 17 + 5, -u + 21 = 5*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.845675km in micrometers?\nAnswer: 7845675000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*q - 4, 0 = 8*q - 4*q - 16. Let k be 0\/((-8)\/(-32)*l). Solve 0 = -k*f + f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + -5*(4 + -1 + sqrt(2187) + sqrt(2187) + sqrt(2187) + 3)**2*-2.\nAnswer: 9720*sqrt(3) + 197182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.0512.\nAnswer: -0.1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d (base 14) to base 9.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.5 plus 10.6?\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-2*sqrt(24)\/sqrt(2)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85078298 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from ygdsziyiiggi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 27 = -9. Let z be 4 - (i - -27)\/(-3). Solve -2 = 5*w - z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 12070 + 27002 - 204588 = 0. What are the prime factors of n?\nAnswer: 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 48 = 3575 + 733. What is the remainder when 492 is divided by f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187367*n**2 - 562097*n**2 + 187364*n**2 + 187376*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*q + 7*q + j, 2*q + j = 7. Let w be 7\/(-126)*q*(1 - 1). Solve -2*g - 7 = -3*z, -4*z - 4 = -w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -193*q**3 - 2*q**2 - 41*q - 92. What are the prime factors of m(-3)?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 140 = -3*c, -c + 5*f + 17 = -3. Suppose -4*w = -3*j - j - c, 2*w - 3*j = 24. Let d(a) = a. Let v(t) = t. Calculate w*v(q) + d(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6395, 12914, 19431, 25946, 32459?\n\"Answer: -a**2 + 6522*a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 48*x**2 + 18*x + 538. Give d(-24).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1045\/(-385)*44\/(-209).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i + 3*i - 2*w, 5*i + 4*w + 20 = 0. Let h(o) = -3*o**3 + 3*o**2 - 3*o - 12. List the prime factors of h(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -237*m**6\/40 + 197*m**5\/20 - m**4\/12 + 70*m**2 + 4. Find the third derivative of c(y) wrt y.\nAnswer: -4266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 15. What is x(-14)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9485772 millilitres to litres.\nAnswer: 0.0009485772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 29976.993 milliseconds?\nAnswer: 0.0003469559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 15*a**2 + 1577*a - 300. Give v(-33).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (46 + -35)) + 104?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 22508?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 + -7) - 1 - 1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 + 1 = 0. Solve 3*k - 17 = z, 5*k - c*z = -z + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) - sqrt(3)) + 3 - ((sqrt(6)\/sqrt(2))**2 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -107845 times -44?\nAnswer: 4745180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207528042?\nAnswer: 2, 3, 37, 934811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.003 - -0.397. Which is the fourth biggest value? (a) -1 (b) k (c) 2\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 9*p - 13*p - 24*p.\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -58920000 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - o = -16, -q - 4*o = 2*q - 13. Solve q = -2*x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-150)\/(-22) + 4\/22. Suppose 3*m - t*m = 0. Suppose m*u - 4*u = -84. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 46704*i + 4859820.\nAnswer: 4*(i - 11571)*(i - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*v - 2*i + 7, -v + 2*i = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9 - 1 = 0. Let w(c) = c**2 + c - 3. Determine w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 57.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24836355161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36457 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -78\/81667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(-11)*2\/2. Suppose i + m*c + 14 - 8 = 0, 4*c = -4*i - 8. Solve -j - 2*o = 4*j - 7, 2*j - 3*o - 18 = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 4*y**2 - y**2)*(y + 0 + 0) + (-16 + 2 + 6)*(4*y**3 + 3*y**3 - 5*y**3).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1499576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/6 + 5*q**4\/6 - q**3\/2 - 3*q**2\/2 = 0. What is q?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194025151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -446 - -437. Let u(v) = -v**2 - 17*v - 73. Let b be u(w). Which is greater: 2\/9 or b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/8*59\/(-1) and 1 - 33\/2*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 431 - 281 - (7 - 2 - -9) - 19.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122 - -127) + (-9 - (-6 + (6 - 0) + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204.8 - 215. Let v = i + 10.6. Put -4, v, -1\/5, -0.5 in decreasing order.\nAnswer: v, -1\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/218148 and -109\/4296.\nAnswer: 78096984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - w**2 - 3*w + 2. Let n be j(7). Suppose -a - n = -4*s, -5*a + 189 = -0*s + 3*s. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870886?\nAnswer: 2, 71, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w - 27. Let a(k) = k**2 + 7*k - 9. Let c be a(3). Let i be (24\/14)\/(3\/c). Let p be d(i). Calculate the highest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1728*n + 4250 = -1643*n for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 10:26 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230321024 + -145?\nAnswer: -230321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 24*m**2 + 2*m - 8. Let v(f) = 50*f**2 + 4*f - 15. Give -11*q(r) + 6*v(r).\nAnswer: 36*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4793, 9311, 13817, 18305, 22769, 27203?\nAnswer: 31601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 2)*(-2 + r**2 + 2) + 3*r**2 - 5*r**2 + 3*r**2 + 2299*r**2 + 1552*r**2 - 421*r**2 + 9703*r**2)*(-3*r**2 - r**2 + 5*r**2).\nAnswer: 13131*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - x + 11, 5*w + 17 - 1 = 4*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.028 + -75755\nAnswer: -75755.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**6\/30 - 3*f**5\/25 - f**4\/20 + f**3\/5 + f**2\/5 + 78. Determine o so that v(o) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 4*u - 130. Let i(g) = 22*g**2 - 18*g - 521. Calculate -2*i(o) + 9*n(o).\nAnswer: o**2 - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 57*a. Let d(v) = -2*v**2 + 4. Let m(y) = -3*y**2 + 5. Let z(l) = 5*d(l) - 4*m(l). What is z(s(j))?\nAnswer: 8*j**4 + 456*j**3 + 6498*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7640901.\nAnswer: 3, 137, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybb when three letters picked without replacement from {b: 6, n: 8, y: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9336.73 times -4\nAnswer: 37346.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9, d + 3*d = 3*i - 4629. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w)*(195 - 195 - 72*w).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b449 (base 12) to base 13.\nAnswer: 21a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -7, 4, -47, 2, 8, -1 in ascending order.\nAnswer: -47, -7, -1, 2, 4, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:44 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 946 - 949. Is h at most -19\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*m + 4695*w - 4698*w, -m + 2*w + 4 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -285496.3 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 1\/50*c**5 + 0 + 0*c**2 - 1\/5*c**3 - 1\/15*c**4 + 9*c. Suppose m(t) = 0. Calculate t.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 8*i**2 + 6*i - 6. Let w be a(-7). Let u = -9 + 11. Suppose d - 9 = -u*d. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1426*c**2 + 1151*c**2 + 273*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10*m*m**(2\/13))\/(m*m*m**(-2\/9)\/m)**13 assuming m is positive.\nAnswer: m**(122\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63\/2, -20, 1\/3, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -k + 4*g - 20, 0 = 3*g + 15. Suppose k*t - 32*t = 5*t. Solve 2*u - 7 = o, -3*u - o - 2*o - 12 = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*i + 41 - 17, 5*v = -3*i + 30. Calculate the remainder when 118 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, -4\/227, 0.1 in decreasing order.\nAnswer: 0.1, -4\/227, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -1\/9, 1, -1.8.\nAnswer: -1.8, -1\/9, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5015716561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = 3*i + 11, -3*d = 2*i + 15. Suppose -5*l + 3055 - 1115 = i. Let k = l - 172. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 24 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 2\/97, -3, -0.61, 55, -2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 3. Suppose -7 - 14 = -3*o. Let w(z) = -2*z - 1. Let u(b) = o*w(b) + 3*q(b). Find the first derivative of u(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041.56 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 10*y + 9. Suppose 0 = -5*v + 2*q + 10 + y, -19 = -2*v - 3*q. Let j be (-2)\/1*40\/(-8). Solve -j = -2*z + 6*z + v*n, 4*n = -8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.15 * -8291.\nAnswer: 9534.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1100*j**3*k*t - 112827*j**3*r**3*t + j**2*r*t + j*k*r**2 - 3*j*r**3*t + 2*k*r**2*t - 32894786*r**3 wrt j?\nAnswer: -6600*k*t - 676962*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -332\/1413 + 2\/157. Suppose -36 = -2*z + 7*k - 3*k, -5*z = 5*k - 45. Suppose z = f - 0*f - 4*c, -2*c = 5*f + 6. Is s >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127.27 * -0.06\nAnswer: -7.6362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -231?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -166*i**2 - 9798*i - 189. Determine f(-59).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11182370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1678460 and 665?\nAnswer: 1678460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-65)*-2 - 54\/117. Let m = 2 + 0. Solve k - 6*k - 3*u - 8 = j, -2*u = m*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 12. Calculate the remainder when (0 - -2 - 3)\/((-3941)\/350749) is divided by o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -197 and -0.3.\nAnswer: 59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.04505+-58175\nAnswer: -58174.95495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(-14)\/m)\/m)*m\/m**(5\/7)*(m*m**(-6)\/m)**(-4\/7) assuming m is positive.\nAnswer: m**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 531 - 262. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186811 (base 10) in base 11?\nAnswer: -118399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g + 3*s + 17, 4*s + 16 = 4*g. Let m(r) = r**2 + 2*r - 5. Let j be m(-4). Solve g*o + j = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.87508329 take away -0.4?\nAnswer: -3.47508329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19411.2*-6.\nAnswer: -116467.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 0, -46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdp when three letters picked without replacement from {p: 3, e: 2, d: 1, k: 2, y: 3, m: 3}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -135. Suppose -432*a + 404*a + 1512 = 0. Is a >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45\/2 - 24. What is the nearest to 0 in 3\/4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z)**(13\/6)*(((z*z**1)\/z)\/z)\/z**(-1\/2) assuming z is positive.\nAnswer: z**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192824 (base 13) in base 5?\nAnswer: 130242433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 21 + 10 = a, j - 13 = -3*a. What are the prime factors of j + (-4 + 2 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 1, j: 4}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368466 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.41 and 252224.\nAnswer: 252219.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 + -84. Let p be ((-2)\/(-10))\/(i - (-280)\/275). Solve -5*w + 4 = -p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-i + 11*i - i)*(10 - 1 + 8) - i - i + i)*(i - 2*i - i) in the form f + l*i**2 + m*i and give l.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/4 + k**3\/3 + k**2\/2 + k + 304. Let p(a) = 2*a**3 - 4*a**2 - 7*a - 3. Give 2*p(o) + 6*v(o).\nAnswer: -2*o**3 - 2*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*i = -260*i + 528 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q + 2. Suppose -6*g = -3*g. Suppose -a + 3*x = x - 1, g = 2*x - 2. Suppose -z - 3*p = -p - 13, 0 = a*p - 12. Determine k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -31971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 732*r - 66978 = 0. What is r?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 135, 190, 243?\n\"Answer: -c**2 + 60*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let a(y) = 3*y**2 + 2*y - 2*y - 5*y**g. Let f(x) = -2 - 2*x**2 + 2. Determine a(f(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329\/5 + -66. Let d = -2 - 0. What is the closest to 0.1 in -1\/6, w, d?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120063936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 68150?\nAnswer: 68150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**9*r**(-18))**(10\/9) assuming r is positive.\nAnswer: r**(-260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137058, -274502, -411946, -549390, -686834, -824278?\nAnswer: -961722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*r - 3*x - 64 = 328*r, -r + 30 = -2*x for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 + 0*u**5 - 5*u**5 + (0 - 2 + 1)*(-u**3 - 4*u**5 + u**3).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46583 is divided by 46573?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 7:55 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 324 = -2*o, -k + 252 = 2*k + 3*o. Calculate the common denominator of 8\/9 and k\/(-8) - (-3 + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -21 + 11 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 43 + 1 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/3 - 14*i**2\/3 + 8*i = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -9 + 11 + 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.076 - 38.924. Let j = a + 18. Let k = j - -22. What is the biggest value in -0.1, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.885 times -35?\nAnswer: 30.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12))\/n*n**(1\/13)*((n\/n**(-4))\/n*n*n)\/n*n*n**(-15)\/n assuming n is positive.\nAnswer: n**(-285\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 767259 and 3801.\nAnswer: 5370813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = -1. Suppose 72 = 2*c - 2*i, -5*i = w*c - 0*c - 108. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10621 - 10621 + 5384*g**2 - g**2 - 3*g**2 + 5*g**2 + (-5*g + g + 2*g)*(2*g - 2 + 2) - 2*g - g**2 + 2*g - 1 + 2*g**2 + 1 - 4*g**2 + 3*g**2 + 2*g**2.\nAnswer: 5383*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 473886031413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203.0412 + -0.0412. Let b = 239.8 - a. Let s = -68.2 + b. Round s to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/9? (a) 2\/13 (b) 0.002 (c) 2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnztnrthrrrzyn. Give prob of picking 2 r and 1 t.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9849121, -19698290, -29547459, -39396628, -49245797, -59094966?\n\"Answer: -9849169*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1090 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1686489 and 38789247?\nAnswer: 38789247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:25 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - 4. Let a(n) = 11*n - 2. Let o be a(1). Suppose 4*k - o*k = -20. Let r be j(k). What is the highest common divisor of 160 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01174 rounded to 4 dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 8*n - 3*w + 26, -5*n + w + 18 = 0. Let o be ((-6)\/n)\/(1\/(-2)). Suppose 3*s = -o*z + 192, z = 5*z - 3*s - 249. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 6\/5 (b) 1810.88 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*j - x + 34, -3*j = -3*x - 69. Let r = 14 - j. Let n be r\/10 + 16\/40. Solve 2*c + c + 9 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 52 = -p, -4*p - 3*j - 165 - 94 = 0. Suppose 4*t + 492 = 2*o, t + 164*o - 161*o + 130 = 0. Let z = p - t. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(468)))**2*-1.\nAnswer: -4221 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659646221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/21444 and -101\/300.\nAnswer: 536100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbmmrmzqmmqbqqqsr. Give prob of picking 1 q and 1 z.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 1 + 22 - 613*o.\nAnswer: -613*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7275 + -1171. Round a to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4605*r + 1182*r - 1939*r - 1342*r)*(5*r**2 - 5*r**2 + 4*r**3).\nAnswer: -26816*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*d + 209, 8*w = 5*w + 2*d + 587. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 c when four letters picked without replacement from {a: 1, b: 1, x: 7, c: 7}?\nAnswer: 63\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5419829*0.3\nAnswer: -1625948.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 5*d**8\/336 + d**4\/6 - d**3\/3 + 26. Let w(r) be the third derivative of c(r). Find the first derivative of w(g) wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239675786 minus -9?\nAnswer: 2239675795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 281*f + 280.\nAnswer: (f - 280)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = 4*n. Let d be ((-4)\/n)\/((-6)\/(-18)). Suppose -41 = -d*z + 23. What is the greatest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 497 = 68*x. Suppose 3*a - 35 - 1 = 3*m, -m - 4*a - 22 = 0. Let c be (-4)\/m - (-2)\/x - -1. Sort -35, c, -3.\nAnswer: -35, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96813493 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31688 divided by -68?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 45 = -229 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -29*x - 265. Let n be f(-9). Sort -1, n, 4, -12.\nAnswer: -12, n, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -12*o**5 - 2427*o**4 - 5394*o**3 + 1227*o**2 + 5406*o + 1200 = 0.\nAnswer: -200, -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/105 + (-10)\/25 - (-85)\/(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-112))\/(1\/2*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtfe when four letters picked without replacement from {m: 4, t: 4, e: 3, f: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (192\/240)\/(1\/3895)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2. Let c = 24 - 22. Let q(x) = -x**2 + x**c - 2*x**2. What is q(k(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (0 - (8 + -18) - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/15 + (-4 - (-44)\/6). Which is the nearest to 9? (a) 0.06 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16305317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 33, 81, 157, 267, 417, 613, 861?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -13*q + 0*q**3 + 1\/20*q**5 + 1\/4*q**4 + 4 + 0*q**2. Let j(i) be the first derivative of w(i). Give j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*k + 122. Let y = k + -25. Calculate the remainder when 52 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 83 - 170 = 0. Let c(f) = 100*f - 1. Let l be c(1). Let d = 141 - l. What is the remainder when d is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -512*k - 646 wrt k?\nAnswer: -512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -12302?\nAnswer: -12205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, -4\/3, 6181, -0.1, 1\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*s - 35*s - 27200. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-10 + 6 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*-4 + (sqrt(102)*-1 + sqrt(102) - sqrt(102))*6)\/(-5*sqrt(726)*3*3).\nAnswer: -2*sqrt(17)\/495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*v - 3 = -1, 2*v - 3 = a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 1. Let a(u) = 4*u**2 - 2. Let x(l) = -4*a(l) + 4*d(l). What is the derivative of x(o) wrt o?\nAnswer: -40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76464, -306283, -689458, -1225989, -1915876?\n\"Answer: -76678*o**2 + 215*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhhhhhjhhhjjhjhhh. Give prob of sequence hhj.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1556560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k + 6*k**2 + 0*k + 2*k**2 + 4*k wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.686469558 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -18225224 at most -18225223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1202 - c**2 - 1202)*(-c**3 - 2*c**3 + 1 + c**3).\nAnswer: 2*c**5 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 4 = 16*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**3 + 1\/20*d**5 + 1 + 1\/12*d**4 + 1\/2*d**2 - d. Let w(l) = -14*l**3 - 21*l**2 - 21. Determine 21*v(o) + w(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 37 = 38. Let i = -5 - t. Calculate the greatest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5798 + -5881. What is the second biggest value in x, 12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 915192 and 6021.\nAnswer: 915192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -1332010300202?\nAnswer: -1332010300122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427097983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4799485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(98) - (0 + sqrt(98))**2 - sqrt(98))*1*-4 - (-6*sqrt(98)*2 - -2*(sqrt(98) + 1)**2))*-2.\nAnswer: -112*sqrt(2) + 1180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 6*c - 3. Let b = -69 - -31. Let n be b\/(-6) + (-2)\/6. Is 13 a factor of z(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2468ad - -79?\nAnswer: 246926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2576989 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 1, b: 6, k: 4}. Give prob of sequence bn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1014, 563, 2140, 3717, 5294, 6871?\nAnswer: 8448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 141*q**2\/2 - 157*q - 125. What is the first derivative of c(s) wrt s?\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 = -3*j + 11, 5*b = -5*j + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, 13366, -5.\nAnswer: -5, -3, -1, 4, 13366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/90 + n**4\/36 - 2*n**2 + 4*n. Let k(h) be the first derivative of i(h). Factor k(p).\nAnswer: 2*p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326*h**5 - 42*h**4 + h**3 + 185*h - 87 wrt h?\nAnswer: -6520*h**3 - 504*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and 99\/376.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5297589, 21190417, 47678471, 84761745, 132440233, 190713929?\nAnswer: 259582827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 213?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 22*c - q - 2*q + 30 = -11*c - 3*c, c - q - 8 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15653 not equal to 727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 13*t + 1856.\nAnswer: -(t - 64)*(t + 116)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -407.8 - -408. What is the second smallest value in -1, f, -0.4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166810331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 38. Solve v*l + 2 = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25861, -51882, -77903, -103924, -129945, -155966?\nAnswer: -181987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -1 (b) -244 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 229789 divided by -2?\nAnswer: -229789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67.5 and -78234767.\nAnswer: -78234834.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/572?\nAnswer: -7\/572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*k - k + k - k + (2 - 2*k - 2)*(0 - 2 + 1) - 4*k + 3*k - k + 1 - 1 - 2*k + (4 - 3 + 1)*(-3*k + k + 3*k) + 1 + 5*k - 1 + 7*k + 4 + 1 - 8*k.\nAnswer: 5*k + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/14 - 2) + 61\/427?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/366026?\nAnswer: -5\/366026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -215 + 1365026?\nAnswer: 1364511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 202*y**2 - 343*y - 14362. What is g(-100)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 2*l + 10, -4*j - 22 = 5*l + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 61 - 6*l to n*l + q and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 4*sqrt(72) + sqrt(72) + sqrt(72))*1)**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34365 (b) 0 (c) 19\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 8*k**2 - 7*k - 4. Let v be u(-7). Let a(b) = b**2 + 4*b + 1. Determine a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 84 = -3*d - o, 4*d - 123 = o. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182704 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4416, -4439, -4480, -4539, -4616, -4711, -4824?\n\"Answer: -9*z**2 + 4*z - 4411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h - 8*h - 3*h - 10*h - 88. Let d be w(-22). What is the lowest common multiple of (-6)\/(-8)*4 + d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6478, -13036, -19584, -26122, -32650, -39168?\n\"Answer: 5*s**2 - 6573*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = o + 4 + 24, 0 = -3*o + 4*r - 46. Let y be ((-6)\/o)\/((-3)\/(-90)). Calculate the greatest common factor of 50 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10827, -2, 6, 5 in increasing order.\nAnswer: -10827, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/3 - 5*i + 1. Let d(u) be the first derivative of l(u). Let b(k) = 2*k**2. Determine d(b(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 1\/180*m**6 + 29*m**2 + 0*m**3 + 0*m - 1\/15*m**5 + 5\/36*m**4 + 0. Determine t so that j(t) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 8116678*m\/5.\nAnswer: 2*m*(m - 4058339)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1724 + 8668 = 866*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 62452065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 440, 436, 432, 428, 424?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = -3. Solve -2*v + 3*a - 3 + 7 = 0, m*a = -v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -862 (c) -2\/5 (d) -2\/69 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozssp. Give prob of sequence szsp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24914494 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598537104 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 + 3*m**4 + 15*m**3 - 15*m**2 - 12*m + 12 = 0 for m.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h + 2. What is k(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 147*y - 244. Suppose -2*g = -4*z + 34, -28 = -3*z + g - 4. List the prime factors of k(z).\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -1 - (21 - 10 - -16) - 70\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21911, 87636, 197177, 350534?\n\"Answer: 21908*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/28381 - 4115281\/510858. Calculate the common denominator of (-514)\/96 + (-2)\/(-3) and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.993722 millimeters?\nAnswer: 0.000993722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1921*s**3 - 1540 wrt s?\nAnswer: -5763*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247.2 - 2793.\nAnswer: -3040.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*i = -0*m + 45, 0 = -m + 3*i + 5. Does 4 divide 8\/4 + -2 + m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(486))**2 - 3*-2*sqrt(19)) + ((-2 + 3*sqrt(19))**2 - -5*sqrt(19)*-2).\nAnswer: -16*sqrt(19) + 14194\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -164, -467, -912, -1505, -2252, -3159, -4232?\n\"Answer: -x**3 - 65*x**2 - 101*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -245721 (base 9) in base 2?\nAnswer: -100100010001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -33. Let k be c + (-5)\/(5\/2). What is the greatest common factor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000101001 (base 2) to base 12\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 606 + 36. Let u = 949 - w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v + 9*v - 8 - 10 in the form i + s*v and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3. Let o be (g - (-1 - 0)) + 0. Factor 12*j**3 + 3*j**5 - 3 + 30*j**o + 15*j + 18*j**3 + 15*j**4 + 6.\nAnswer: 3*(j + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 400. What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 - -7 - 13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 901*v + 1214*v + 2 - 168*v in the form g*v + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 437.\nAnswer: -3, -0.2, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73.636 + -0.236. Let l = p - 21. What is l rounded to 0 decimal places?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 10516667?\nAnswer: -10516672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y - 7568841 = -8963898 - 13303246. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.1, -19.4, -0.5 in increasing order.\nAnswer: -19.4, -0.5, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*a**4 + 264*a**3 + 72*a**2.\nAnswer: 2*a**2*(11*a + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42474.\nAnswer: 2, 3, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/17052 and 161\/11484.\nAnswer: 562716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 23842 - 23843 + 4*c**2 - 11*c**2 in the form y*c**2 + i + o*c and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54713 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:38 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.11 + 5.41. Let h be 2 - (2\/1 + -5). Let r be -4 + h - 2\/6. Which is the closest to r? (a) q (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.1 and -0.0216.\nAnswer: -17.1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -2. Let i = -5 + l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2399365046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**8\/336 - t**7\/70 - t**6\/24 + t**5\/20 + t**4\/6 - 297*t**2. Let o(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (222\/333)\/(-2*2\/(-42))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 164*m - 8. List the prime factors of k(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110180803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*u**2 + 3*u**4 - 3 + 5 + u**3 - 245*u**2 + u as a*u**2 + w + r*u**3 + n*u + g*u**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -2*o + 216\/5*o**2 + 12\/5*o**3 + 1\/20*o**4 - 23. Factor m(n).\nAnswer: 3*(n + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 7. Let y(u) = 2*u - 6. Let f(j) = -2*g(j) + 3*y(j). Let b(v) = -v + 2. Let m(z) = -7*b(z) - 3*f(z). What is m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*p + 84*p + 2590. Let j = 521 - p. Put 4, 58, j in descending order.\nAnswer: 58, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.669 and 339.\nAnswer: 18871.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5015 + 5035. What is the third biggest value in w, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 22. What is the remainder when 7 is divided by (-30 + 31)\/((-2)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 5*p**4 - p**3 + 0*p**4 + 3*p**4 - 2*p**4 + (-2*p**2 + 0*p + 0*p)*(p - p + p**2) + 0*p**3 + 0*p**3 - p**4.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/(-9)*1). Suppose -k - y*h = -39, -68 - 39 = -3*k + h. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -653\/3 - -218. What is the third smallest value in 0.5, v, -0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 960 = -5*d - 955, 11 + 5 = -a - 2*d for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 14. Let p(z) = -3*z**2 + z - 12. Let x(n) = 4*g(n) + 5*p(n). Let s(m) = -7*m**2 - 5*m + 5. Let y(f) = -3*s(f) - 4*x(f). Determine y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-4))\/((-2)\/(-3)). Suppose -5*t + 78 = o*s - 23, 5*s = -t + 29. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(1 + 4 - 4)*(3 + 1 - 3)*(-3*t**2 + t**2 + t**2) to the form m*t + n + f*t**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 41. Let v be g(13). Is (10\/v + 484)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2 + 0*k**4 - 5\/6*k**6 + 0*k**3 + 3\/2*k**2 + 0*k + 0*k**5. Find the second derivative of b(t) wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173b (base 12) to base 16.\nAnswer: adf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2362 = -213*i - 1453 - 1936 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42*((-133)\/(-42) - 3). Let q(v) be the second derivative of -v**5\/20 + 3*v**4\/4 - 13*v**3\/6 - 5*v**2\/2 + 5*v - 24. What is q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4024002 + -4?\nAnswer: -4024011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 3.03?\nAnswer: -8.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/15 + d**5\/10 - d**4\/12 - 7*d**3\/6 - 110*d**2. Let g = 10 + -4. Let n(b) = b**3 - b**2 + 1. Calculate g*n(h) + t(h).\nAnswer: -2*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*i + 4 + 4, 1 = 3*a - 2*i. Suppose 3 - 5 = 1159*r - 2. Sort a, 2, r in ascending order.\nAnswer: a, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from {f: 5, z: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l*l)**(1\/23)*(l*l*l**(-1\/3))**(-5))\/(l**(3\/8)*l**(-1\/2)\/l*l*(l**(-2\/7)\/l)**26) assuming l is positive.\nAnswer: l**(97619\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3872 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 6) in base 12?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*u = 230*u - 42 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0*d**4 - 3*d**2 - 1\/420*d**6 + 0 + 0*d + 0*d**3 - 1\/210*d**5. Let c(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + -20?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.42 != -8671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1233 - 2474 + 290*o + 285 + 311*o wrt o?\nAnswer: 601","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n - 1. Let b be s(3). Let t = -34 + 32. Let k be ((-1)\/t)\/(10\/60). Put k, b, -5 in decreasing order.\nAnswer: k, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 33*i**2 + 46*i**3 + 64*i**3 - 1 + 35*i**3 + 1 wrt i.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 1)\/(3\/(-15)). Suppose 5*b = g + 2, 5*b - 61 = -4*g + 2*b. Suppose 8*m - 45 = -g. Solve n = -m*n - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -9*o**2 - 7. Let c(l) = 1538 - 1538 - l. Determine c(g(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + -104. Let b = l - -223. What is the lowest common multiple of 130 and b?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133324213 (base 5) to base 16\nAnswer: -a6c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189 - 156. What are the prime factors of (-9)\/(-5)*4070\/y?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419818.\nAnswer: 2, 7, 157, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 19 = w, -2*w = -0*k - 4*k + 26. Suppose -136 = 4*d - k*d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 62*f - 24. Let d(q) = -62*q + 24. Let p(g) = -5*d(g) - 4*r(g). Differentiate p(c) with respect to c.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 4*k**3 - 2*k**3 + (-53*k**2 + 53*k**2 + 17*k**3)*(-2 + 2 - 2).\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 4*h**3\/3 + 15*h**2\/2 - 4. Find the second derivative of b(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-238)\/10)\/(1\/(-5)) + 1. Calculate the highest common divisor of x and 2600.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 111958 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:13 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(190)*-2 + sqrt(190)) - (sqrt(190) + -1*sqrt(190) - sqrt(190))*1)*-5)\/(((sqrt(1000) - (-3*sqrt(1000)*-3 + sqrt(1000))) + sqrt(1000))*5).\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.079101 less than -4?\nAnswer: -64.079101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 784806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 12*v**2 - 21*v - 1. Let w be p(-13). Let u = 5 + -3. Suppose -u*j + w = -67. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 52. Suppose c = d - 6409, -5*c - 32045 = -4*d + s*d. What is the units digit of c\/(-85) + 6\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0*r**3 - 7\/12*r**4 - 2*r + 0 + 3\/2*r**2. Differentiate j(m) wrt m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 20. Suppose 2*x = j*y - 10, 4*x - 5*x = -y + 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 16 = 5*g. Find the common denominator of ((-81)\/30)\/(2\/g) and -87\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.31 (c) 3 (d) -0.5 (e) -5171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*m + 165*m + 22 = -5*f, -5*f = 2*m + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 5*r = -6*c, 0 = -4*c - 5*r - 10. Solve -5*s - 10 = o - 0*s, -c*s - 10 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022559745815 rounded to 6 dps?\nAnswer: 0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.97 + 5. Let f = 3.03 - k. Sort -1, -4, f in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-20)\/16) + 6\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032304 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12757*m + 76549. What is d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 1\/30*s**6 + 6 + 0*s**3 - 1\/25*s**5 + 0*s**2 + 0*s - 1\/10*s**4. Find b such that z(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00189844 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*i + 478*i - 49*i**5 - 24*i**5 wrt i?\nAnswer: -1460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8*x**5\/5 - 36*x**4\/5 + 56*x**3\/5 - 36*x**2\/5 + 8*x\/5 = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 304\/109?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**2\/2 + w + 2. Let u(y) = 3*y + 6. Let i = 23 + -17. Suppose 14 = i*q - 16. Give q*n(t) - u(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) 2\/35 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -266590.5506 to the nearest one hundred.\nAnswer: -266600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2880)*-2 + sqrt(2880)*1*-2)\/(sqrt(16)\/(3*sqrt(4)) + -2*sqrt(196)).\nAnswer: 144*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1586, 1604, 1614, 1616?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.622 to two dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-4) + -3 + (-4)\/16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**2 + 18 - 36*s**2 + 11*s**2 + 0*s**2 wrt s?\nAnswer: -46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/3 - 1401764*q + 248098304\/3.\nAnswer: 4*(q - 1051264)*(q - 59)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 805860533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2187000 and 103680.\nAnswer: 69984000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -43*m + 102. Calculate v(6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1665171 (base 10) to base 2.\nAnswer: 110010110100010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 49 + 34*x**2 - 30*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -3, -2, 0, -5, -9 in descending order.\nAnswer: 0, -2, -3, -5, -9, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 12. Let u be w(-12). Suppose c - 3*j + 21 = u, 29 = -c - 5*j - 0*j. Let i = 7 - c. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*f - 8 + 118, f - 97 = 4*w. Let k = w + 76\/3. Which is the nearest to k? (a) 2 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11111100110000 (base 2) to base 9\nAnswer: 24163","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d + 0*d + 19*d**2. Let y(b) be the third derivative of -b**4\/24 + 42*b**2 - 2*b. Determine z(y(j)).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -10*k + 6. Suppose m - 2*n - 6 = 0, m + k*m - 2 = -3*n. Let c(b) = b**2 + 2*b - 3. What is c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-5) + (-1)\/(-2)*8. Let q = -5 - -7. Suppose -3*i = s*i - 4*u - 33, q*u = -3*i + 11. Let f(k) = k - 6. What is f(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653 is divided by 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5183062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 4*o - 2. Let l be b(4). Let c be 2\/7*(0 + -1). Let n = -0.015 + -0.285. What is the nearest to l in c, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99948 + 99947. Suppose 0 = y - 3*y - 10. Let a = -0.1 - 3.9. What is the closest to -2\/3 in a, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2, 0 = 5*g - 5*q - 5. Suppose -p = 3*k + p, -2*k - 2*p = g. Solve u + 3 = -k*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/42 - 2*n**3\/21 + 8*n**2\/7 - 94*n. Factor m(d).\nAnswer: -2*(d - 2)*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415479057*0.2\nAnswer: -83095811.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 6. Let c be n(-4). Suppose -b - 2 = -c*b. Suppose 2*f + 0*f - 27 = -3*o, -51 = -b*f + 5*o. Calculate the least common multiple of 4 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*w + 3*a + 22 = -w, 2*a + 22 = 19*w + 52 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7816 + 5*m - 7816.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -37 - ((-8)\/2)\/2. Let r be 1086\/21 + (-10)\/x. Let d = -8 + r. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*s**2 - 21 + 1 + 22 - 2*s to l + v*s**2 + k*s and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 3*r + r)*(2 - 2 + 2*r) + (3*r**2 - 2*r**2 + 0*r**2)*(4 - 4 + 1))*(-2*r**2 + r - r).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103718, 103719, 103720, 103721?\nAnswer: 103722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 13*k - 7*k)*(3*k**4 - k + k).\nAnswer: -66*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 5876?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*s - 615, 5*b - 10*s + 5*s = 575. Let d be (-6)\/4*128\/(-16). Suppose -2*f + d + 22 = 0. What is the greatest common divisor of b and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + 47*q + 12. Let f be a(-9). Is (-12)\/(-9)*1 + (-12874)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3402 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23717*t = 47556*t - 23737*t - 3570 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-516)\/(-7075) - ((-91356)\/3450)\/(-331)?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 7) to base 6.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*y + 18, 3*y - 2*y + l = -3. Let a(m) be the first derivative of 2*m**3\/3 + 3*m**2 - 6*m + 1. Does 15 divide a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/44)\/((-4)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 14) + (-3)\/(2 - -1). Suppose -7*w = 5*z - 3*w - 11, 0 = w - 4. Let p = z - s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 262\/13 (b) -3 (c) -9 (d) 0.0072\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 6*y**2 + 4*y + 7. Let b be g(5). Let h be (-3 - b)*1164\/(-20). Suppose -4*m = -5*m + h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257 - 155575?\nAnswer: -156054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 2*g**2 - g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 60*v + 5719. Suppose t + 4*p = 2*p - 207, -2*p + 203 = -t. Let b = v - t. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1585773 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3*9\/3. Suppose -x = 5*q - 6. Let y = q + 0. Which is greater: y or 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 55. Let u = 37 - x. Let y = 12 - u. Which is the closest to -1? (a) -1\/6 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z + 3. Let b(d) = 169*d - 52. Let s(y) = -y**3 - 51*y**2 - 218*y + 8. Let r be s(-5). Give r*l(t) - 3*b(t).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 0.1, -7.14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 894, 1368, 1842, 2316, 2790, 3264?\n\"Answer: 474*k + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045251411 to six decimal places.\nAnswer: 0.045251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q - 65*q + 52 = 0. Find the second derivative of -c + 19*c**2 - q*c**2 - 37*c**4 - 4*c**2 - 12 wrt c.\nAnswer: -444*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -241*m**2 + 1. Let o be l(-1). Let v = o + 2691\/11. Find the common denominator of v and 27\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 47. Let m(v) be the first derivative of 0*v - v**w + 1\/2*v**4 - 3 + 0*v**3. Find l, given that m(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*z**2 + 25 + 31 + 4*z**3 - 28*z + 4*z**4 - 8*z + 16 = 0. What is z?\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 440, -1, 1, 18, -4 in increasing order.\nAnswer: -10, -4, -2, -1, 1, 18, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42, 0.07, -10.6, 14, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yza when three letters picked without replacement from zyzyaahyzzhhyhha?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883203 is divided by 73562?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -31. Let x be 4*-11*(1 + y\/(-4)). What is the greatest common divisor of x and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14) - 1173\/(-119)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 11 - (-1 + 21 + -2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -96*c**2 - 19. Let u(w) = 289*w**2 + 53. Determine 11*o(g) + 4*u(g).\nAnswer: 100*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 4*w. Let p be w - (-3)\/(-3)*-34. Let j = 31 - p. Let r(d) = -2*d**3 - 2*d**2 + 2*d + 3. Determine r(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 4. Calculate the lowest common multiple of k(-4) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 12, t: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149910, -299854, -449810, -599784, -749782, -899810?\n\"Answer: -i**3 - 149937*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 19. Suppose f - 2*f - 4*w = -6, -5*w = -5*f + 30. Let r = f - m. Let c(t) = t**3 - 4*t**2 - 5*t + 4. Give c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*t + 40734 = 140*t - 271*t - 158*t for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**2\/2 + 11*a - 3. What is the remainder when 8 is divided by q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 4*a + 2*a + (-3*a - a + 5*a)*(-1 + 2 + 1) + 10*a - 17*a - 10*a in the form g*a + w and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j*j*j*j*j*(j\/(((j\/(j\/j**(8\/5)))\/j*j)\/j))\/j*j*j)\/(j**(-10))**(-19) assuming j is positive.\nAnswer: j**(-943\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*w, 2*b - 16 = -2*b + 2*w. Suppose b*y = 5*y + i + 10, 0 = -y - 3*i + 10. Let o(q) = q**2 + 4*q - 1. What is o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1916376 and 2463912.\nAnswer: 17247384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -272e0?\nAnswer: -272e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 2, c: 1, r: 3, n: 1, f: 4}. Give prob of sequence fsr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.032674 + -120.032674. Let p = 227\/1085 - 2\/217. Sort p, -3\/7, s in decreasing order.\nAnswer: p, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*-6*sqrt(77)*2)\/(-1*(sqrt(112) - 5*sqrt(112)*2)).\nAnswer: -25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4076\/7 + -64943\/112. Let j be 3 - (1 + (-455583)\/(-42)). Let i = 10850 + j. What is the common denominator of t and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -113. Let w be (18\/42)\/((-9)\/6). What is the nearest to w in 0.4, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.8 - -18. Put a, -0.1, 2\/17, -10 in descending order.\nAnswer: a, 2\/17, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1, -5, -839?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.2 - -66. Let h = o + -6. Let q = 0.4 - 0.3. Which is the smallest value? (a) h (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-7 - (-19 + (3 - -8) + 0 + -6))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 472409 or 472425?\nAnswer: 472409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, 4, 118?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(5 + 17 + 1 - -5). Solve m = 7*n - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222701 (base 9) to base 8\nAnswer: 404176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85, 157, 229, 301?\n\"Answer: 72*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 5*v, -5 = -n - 4*v + 19. Calculate the remainder when 21 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1139, 2275, 3411, 4547, 5683, 6819?\nAnswer: 7955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 288*a - 3640. What is t(146)?\nAnswer: -4224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 28.2. What is the second biggest value in 3, -5, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/((q\/(q\/(q*q**(-2\/83))))\/q) assuming q is positive.\nAnswer: q**(417\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6328 and 63976?\nAnswer: 50605016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = h + 5*o, -71*h - 5*o - 33 = -75*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = -92. Let m = -20 - t. Solve r - 7 = -m*i, 0 = r - 0*r - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -b + 63, 0*w + 4*b + 47 = 3*w. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-181 - -7)*(-6)\/9.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(2*s**2 - 2*s + 2*s) + 3*s**2 - s**2 + s**2 - s + s + s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16646 and 41615?\nAnswer: 83230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*n + 5*n - 22 = 0, 0 = -4*p - 3*n + 49. Suppose -10 = -2*a + p. Suppose 3*i - a = 26. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 34*d. Let i be o(16). Let u(n) = n + 69. Let a be u(0). Let y = a + i. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275 = -2*l + 279. Find the common denominator of 61\/20 and (l\/44)\/(-2 + -1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - -26. Let u = p - 115. Is u smaller than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1913*b**2 - 10244942 + 10244942.\nAnswer: -1913*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**29)\/r)**(-27) assuming r is positive.\nAnswer: r**783","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1aa891 + -57?\nAnswer: -1aa918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -3 - 1\/75*q**5 + 0*q**3 + 0*q**4 - 1\/525*q**7 + 2*q**2 + 1\/100*q**6 + 0*q. Solve m(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16053 divided by 1.\nAnswer: 16053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3537 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y**3 + 2*y**2 + 2*y - 2. Let q(v) = 85*v**3 + 15*v**2 + 15*v - 15. Calculate -15*k(h) + 2*q(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 140*o - 258*o + 133*o. Let b(h) = 2*h**2. Determine b(s(x)).\nAnswer: 450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + z - 2. Calculate the remainder when 19 - -1 - 0 - 5 is divided by m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11368245 (b) 2\/9 (c) -0.7 (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, 990, 3 in increasing order.\nAnswer: -2, 1, 3, 5, 990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2474760 and 740460?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 + k**2 - k + 1. Let d(v) = 5*v**2 - 2*v + 1. Let g be d(1). Let r = -3 + g. Determine t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 80 = 587. Suppose -2*l = 3 + 3. Let t = l - -33. Are t and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1136*b**3*k**2 - 47*b*k**2 + 2*b*s - 65*k**2 + 618*s wrt b?\nAnswer: 3408*b**2*k**2 - 47*k**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/16 + (-35)\/(-4) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4)*w)\/((w*w**(-9)\/w)\/w)*w**(-1\/6)\/(w**4*w))**4 assuming w is positive.\nAnswer: w**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 47*f = -96*f + 3*a + 111, 4*a + 70 = 5*a + a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-5\/6))\/n*n*n**(-1\/2))\/(n*n**1)**4 assuming n is positive.\nAnswer: n**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*p + 6 - 17*p - 3.\nAnswer: -20*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2690 - 2920 = -23*d. Suppose q = 4*q - 1350. Suppose 0*v + v = 5*k - q, 270 = 3*k - 3*v. What is the greatest common factor of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 12\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/5)\/(h*h*h**9))**18\/((h**0)**(-41)*(h*h**(-2\/7))**(-18)) assuming h is positive.\nAnswer: h**(-6858\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/30 - 4*v**2. Let j(q) be the third derivative of 0 + 0*q**3 - 1\/24*q**4 + q**2 + 0*q. Calculate m(j(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.3 - -5.209. Let t = q - -0.191. Let s = 0.9 - 0.5. Which is the third biggest value? (a) s (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 2 = -3*b, 4*h + 5*b = 4. Let c be 0 - h - (-172806)\/6. Suppose x + 0*x = -c. Round x to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186395934 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1)\/(-1 - 6\/(-2)). Let i(b) = -b + 1. Let y be i(-4). Put d, y, -2 in descending order.\nAnswer: y, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (34\/(-8))\/(((-59)\/(-6962))\/(4\/(-2))) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*k**2 - 47*k**2 + 73*k**2 + 24*k)*(-6 + 8 + 1) to a + y*k + w*k**2 and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, u: 1, v: 2, c: 1, f: 1}. Give prob of sequence fc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*u**2 - 3*u**4 + u**4 - 108 + u - u + 35*u**2 wrt u.\nAnswer: -8*u**3 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 10*f = -5*l - 1387, 1391 = -5*l - 2*f. Let h = 273 + l. Let s(x) = -x**2 - 5*x - 8. Give s(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440300212 (base 5) in base 3?\nAnswer: 21012222010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 8, -5 in increasing order.\nAnswer: -10, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 6*v**5 - v**5 + (-v**2 + v**2 + 2*v**3)*(0*v**2 + 0*v**2 + 2*v**2) - 3*v**5 + v**5 + 0*v**5 + (2*v + 2*v - 2*v)*(v**2 + 2*v**4 - v**2).\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*1 + 83\/(-2))*-34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*n + 2, n - w + 14 = -6*w. What is the greatest common factor of n and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.89. Put 1\/5, f, -2 in ascending order.\nAnswer: -2, f, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -59094*l + 413649. Determine j(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 6e6b?\nAnswer: -6e66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {d: 3, o: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -19*v**3 + 6*v**2 - 4*v - 34. Let z(s) = 20*s**3 - 6*s**2 + 4*s + 34. Let x(i) = -3*d(i) - 4*z(i). Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 - 5*7. Suppose 61*h - 2870 = -9*h. Let p = h + u. What is the remainder when 9 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzzzzzxzzzzz. Give prob of picking 3 z.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.67 + 25.87. Which is the smallest value? (a) f (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:04 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13438, -6592, 254, 7100, 13946, 20792?\nAnswer: 27638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:46 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-6) - 305\/183. Is (7 + -8)\/(((-3)\/s)\/13533) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (-10 - -13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 23*l**2 + l + 17. Let d(a) = 4*a - 13. Let x be d(9). What is the remainder when s(x) is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005900977 rounded to six decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let h = -6.7 + 2.7. Which is the smallest value? (a) k (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/12 + 7*r**3\/3 + 5*r**2\/2 - 8725*r. What is t(15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131498, -131507, -131518, -131531, -131546, -131563, -131582?\nAnswer: -131603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(3*b**2 - 9*b**2 + 0*b**2).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*n**2 - 85 + 10*n**5 + 85 wrt n.\nAnswer: 600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 + -80.4. Let l = q + 87.7. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076*d - 1060*d + 2158*d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-2 - (1 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 - 127*k + 51. Calculate y(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 5*n + 15 = 0, 4*h - 5*n - 8 = -n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1)*(-2 + 1 - 3) - 9 + 8 - 11)*(32 - 4*h - 32).\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37870, 36977, 36072, 35149, 34202?\n\"Answer: -w**3 - 886*w + 38757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 7*b + 14. Let r be g(8). Solve -5*p + 2 = r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 51002*v**2 + 5*v - 13. Let t be d(-12). Let h = t + -12254238. Let o = 11010023 + h. Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 10 - 0. Calculate the remainder when 45 is divided by (-188)\/(-12) + a\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 154.037l?\nAnswer: 154037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.7835 decades in years?\nAnswer: 917.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3986 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-25)))**(1\/2))**(-16))**40 assuming u is positive.\nAnswer: u**(-8000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 at least as big as 41\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-120)\/(-16)) + (-5719)\/(-3990)?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/2, -15801 in descending order.\nAnswer: 3\/2, -4, -15801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i = -62*i + 4*b + 876, 5*b - 230 + 5 = -5*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let k(z) = -4 - 4*z + 4 + 1. Let p(s) = 5*s - 2. Calculate r*k(g) - 2*p(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -453.\nAnswer: 2\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o - 60*o = -7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w - 12. Let l be (-9 - -2) + w + 8 - -99. Let s = l + -101. Which is the nearest to 1\/2? (a) -3 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1413 divide 252678312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 2 + 0*p - 4*p)*(21*p - 18*p + 84*p)*(0*p**2 + 2*p**2 - 4*p**2) in the form v*p**4 + j + k*p + i*p**2 + n*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2*i = -3*g + 1806 - 892 - 915, 2 = -4*i + 2*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 15 = -46*x. Suppose 0 = 4*a + x*m - 50, 5*a = 3*m + 12 + 32. Put -6, a, 4 in descending order.\nAnswer: a, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58970494.\nAnswer: 2, 11, 31, 86467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**2\/((j\/(j*j**(2\/63)))\/(j**(-2\/17)*j*j)) assuming j is positive.\nAnswer: j**(-8660\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 247, -4 in decreasing order.\nAnswer: 247, 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 16 = 20. Solve -k*t - 72 = -20*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*u - 2*u. Let q(t) = t**3 - 6*t**2 + 1. Let z be q(u). Solve 2*r = c - z + 6, -c + 10 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565614819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 587.55 + -503. What is t rounded to 0 dps?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 73*n**2 + 107*n + 294. Does 122 divide c(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (9 - (7 + -7)) - (-9 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbddz. Give prob of picking 1 z and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25963 minus -6262322.84?\nAnswer: 6236359.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/(4\/12). Suppose 4 = 3*h - b, 4*h - 96 = -4*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 44 (c) 6\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 93*k + 215. List the prime factors of d(-64).\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3115 = -5*b + 105. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 24. Let u be 5743\/9 + f\/(-27). Suppose -u = -2*t + 5*p - 156, -3*t - p = -757. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(396)\/sqrt(4)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -893 + 1539. Calculate the greatest common factor of 34 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294578028 and 504?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 561 = 4*a, -32*a + 589 = -28*a + 3*r. Calculate the remainder when 326 is divided by a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w = 49*w + 5*c - 13, 37 = -3*w - c for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*o - 44 = 729*o - 2*r, -5*r + 112 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 0*d**2 - 5*d**2 + (-5 - d + 5)*(-3*d + 5*d - 3*d) - 7*d**2 + 3*d**2 + 3*d**2 - 3*d**2 - 2*d**2 - d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/30 - 36\/10. What is the tens digit of 2 - -58 - (-1 - d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5 + (-1 + 1 + 1)*(-1 - 4 + 2))*((4 - 1 - 4)*(0 + 0 - 2*u) - u + u + u - 4*u + 4*u - 2*u + 11*u - 4*u + 7*u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-552)\/36 - (-5)\/15. Let u be (-3)\/(6\/c*(-30)\/(-12)). What is the closest to 0 in u, -1, 1\/4, 3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12105 - -12104.999980158. What is d rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 0.5, -5076?\nAnswer: -5076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/1278051 + -4928022649\/852034. Let z = -5798 - j. Find the common denominator of 31\/20 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*g + 4788 = -683*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 1, y: 4}. Give prob of sequence yyyc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10859 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3659 times -14.82?\nAnswer: -54226.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-17)*m*m*m*m*m**(-44))\/(m\/(m**28*m))**(-17) assuming m is positive.\nAnswer: m**(-533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*b + 58, -4*o - 45 = -3*b - o. Suppose 5*c - 6 - 19 = 0. Suppose 0 = -2*j + c + 3. What is the least common multiple of b and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 119, 223 in descending order.\nAnswer: 223, 119, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + y**4 - y**4 + (12*y + y**2 - 12*y)*(-2*y - y**3 + 2*y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/1 - ((-457)\/3656)\/(13\/948)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (9\/3 - 6). Which is the nearest to j? (a) 2 (b) -2\/13 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -62. What is the remainder when 24 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 7 + 5. Suppose -2*i + 3*d = -1, -7 + 3 = 2*i - b*d. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 125.94. Let d = -4 + y. Let z = 0.05999828 - d. What is z rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 3102417*v - 52740222.\nAnswer: -3*(v - 1034122)*(v - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -914 - -932. What is the least common multiple of 6 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 107526, 107525, 107524?\n\"Answer: -i + 107527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 - 2 + 2 + (-j**2 + 0 + 0)*(-4 + 3 + 3) - 222*j**2 + 109*j**2 + 105*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69933659.\nAnswer: 41, 53, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f - 5*l + 175 = 0, -5*f - 5*l = -285. Let b = 12 + f. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 47 = -p, -520*p + 8*r - 5*r - 228 = -515*p for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110 - -109)*(1 - (-1 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 681 - 6?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 + 17.17. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x + 314. Determine a(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3 - 6 - 5 + g**2 - g. Let z = 125 + -125. Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p. Let u(a) = 56*a + 5. Give u(t(r)).\nAnswer: 336*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c8ab + -8?\nAnswer: 14c8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*g - 16, 0 = -n - g + 42 - 46. Which is the biggest value? (a) 0.2 (b) 0.1 (c) 11 (d) -26 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -5*t**6\/6 + 19*t**2\/2 - 43*t. What is the first derivative of m(u) wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = -r - r - 267, 3*r + 6*r = 2*z + 53 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*d + 65*d + 8202785 + 818183. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h**(1\/4)*h))**34*(h**(-3\/8)\/h*h)\/h**(1\/4))**(16\/7) assuming h is positive.\nAnswer: h**(942\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4852.715 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = k - 7008. Suppose 3*u = -5*h + 649 - 101, -h = -5*u + k. Calculate the greatest common divisor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 5*y**2 + 11. Let g be u(5). Suppose g - 15 = -v. Suppose -4*h - 3*f = -98, -h + 3*f + 36 = v. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73512 greater than or equal to -73514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 0*i + 49*i)*(-4 + 6 - 3)*(13 - 47 + 23).\nAnswer: 418*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 + 78710 - a**3 - 79256 - 5*a**2 as b*a**3 + v*a + r*a**2 + t and give t.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 7. Suppose -5*m + h*o = -1 - 84, -13 = -2*m + 5*o. Calculate the remainder when 74 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46733.2531 to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -319168 and -1.\nAnswer: -319169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -402 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 2, h: 1, e: 10, a: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-4))\/(-24)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -19)\/(-3)*-1 - 2. Let s be (2\/(-32))\/(q\/(16\/10)). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2262597, 2262695, 2262793?\n\"Answer: 98*o + 2262499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 21*b - 63. What is h(-22)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*-1) + (sqrt(15) + sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(5).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -475 (base 9) to base 13\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*50.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -9*f**5\/40 - 13*f**4\/4 - 13*f**3 - 18*f**2 - 310*f. Let p(y) = 0. Calculate y.\nAnswer: -6, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let t(p) be the first derivative of 15*p**2\/2 - 2*p - 34. Determine t(w(f)).\nAnswer: -15*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 173 = 2*f - 171, 2*b - 26 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 0 + 21 = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -7*x + 3*x. Let p = 5 + x. Let r = p - -17. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -977, -976, -975, -974?\n\"Answer: j - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.8 + 8. Let p = f - 1.5. What is the closest to p in 5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**3 - h**2 + 2*h - 2. Let k = 1 + 9. Suppose o + k = -3*l, 2*o - 5*l - 18 = 3*o. What is the remainder when y(o) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*y**2 - 476*y + 472*y + 3 - 80*y**2 + 49*y**2 to the form g + d*y + a*y**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-210)\/(-56) + (-3)\/(-12). Solve -4*o + l = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-630)\/(-1575))\/((-8)\/(144\/(-6))*(-6)\/70)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*c + 279984 - 283888 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = 0, -18 + 22 = 4*f - 2*o. Solve -2*q + 19 = -f*m, -13*m + 11*m - 4 = 3*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -27 - 6. Let z = l - 19. Let b = 22 + z. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 56\/11 (b) 0.2 (c) -2\/3 (d) 4 (e) 2 (f) 3416 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.9934 * 13.31.\nAnswer: 505.692154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530255 and 199705.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 69*w - 5 + 67*w - 152*w. Does 16 divide y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 y, and 1 s when four letters picked without replacement from yynssonooonno?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -24*y - 447. Let i be f(-20). Find the third derivative of 5*s**3 + i*s**2 + 10*s**5 - 9*s + 9*s + 44*s**2 wrt s.\nAnswer: 600*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*m + 3, -5*m + 70 - 15 = -4*b. Let g = -7 + -51. Let o = -52 - g. What is the least common multiple of o and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12859 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 5*k - 3. Let s be u(4). Suppose -2*p + 9 - 3 = 2*y, -p = 2*y. Let a be 2\/(-5) + 6\/15. Solve -q + p*q + s = a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s - 2. Suppose 2*a - 12 = -s*a. Suppose 4*j + 3*o - 9 = 0, -j + 4*o - 8*o = -12. Solve j = 2*v - a - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5475791791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 - -4 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.54 + 0.09. Let o = i + 0.7. Let f = o - 0.13. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 19*z - 234. What is the least common multiple of p(16) and 4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -1\/4, 59, -15.\nAnswer: -15, -1\/4, 0, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-9)\/18)\/(12\/(-8))*-6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkx when three letters picked without replacement from {g: 1, l: 1, w: 1, o: 1, k: 2, x: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u - u)*(2*u - 4*u - 2*u)*(-160*u**2 + 17*u - 17*u) to the form x + h*u**4 + y*u**3 + n*u**2 + m*u and give h.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 7 - 2, 2*i - 4*r = 34. Suppose 3*k - 935 = -i. Suppose -2*p + 6 + k = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243 by 25.\nAnswer: 243\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*k - 13, -5*k + k - a - 9 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657921 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**3 + 4*o**3 + o**3 - 36*o**3 + 3*o.\nAnswer: -56*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:21 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1189 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*f - 39 = -n, 4*f + 12 = 0. Suppose 57 + 105 = n*k. Find the first derivative of -k - 5 + 26*g**2 + 10 wrt g.\nAnswer: 52*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304408052.6 rounded to the nearest ten thousand?\nAnswer: 304410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1956, 1961, 1976, 2007, 2060, 2141, 2256, 2411?\n\"Answer: a**3 - a**2 + a + 1955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1101.01565 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 126 = -3*b + 4*k, -3*k + 329 = -5*b. What is the remainder when (0 + 2)*480\/b*-19 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 89*l**2 + 577*l - 665.\nAnswer: -(l - 95)*(l - 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*1)\/(-13*(-43)\/(-3354))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*(i*i*i*i\/i**(-5)*i*i)\/i)*i)*i**(1\/14))\/(i**12\/i*i*i**(-6\/13)) assuming i is positive.\nAnswer: i**(-449\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**3 + 28*v**2 - 56*v + 26. Let q(t) = t**3 + t**2 + t. Let c(a) = i(a) + 2*q(a). Determine k so that c(k) = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 879 + -879. Let a = 8.8 - 9. What is the closest to 1 in a, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131517 - 79499 = -26*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*90\/12*4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = p - 2870, -183*p + 188*p = w - 930. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.317068ms in seconds?\nAnswer: 0.007317068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 9*y**5 + 156*y**4 + 456*y**3 + 522*y**2 + 255*y + 42 = 0.\nAnswer: -14, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 239, 0.1, 3, -4, -10\/987?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 132365*m - 926531. Calculate z(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -8, 2, -201 in increasing order.\nAnswer: -201, -112, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 + 4321*a + 3 - 1.\nAnswer: 4321*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*z**5 - 10016*l**3*z**2 - l**3 - 13698*z wrt z.\nAnswer: 40*l**3*z**3 - 20032*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-6)\/2)*(570\/(-45))\/((-84)\/(-63))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775066?\nAnswer: 2, 61, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1234022398 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4219848, -8439808, -12659768, -16879728?\n\"Answer: -4219960*w + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - o + 3*o - 3*o + 4*o - 2*o + (-2 + 2 + 1)*(-1 + 1 + 2*o) + o + 0 + 0 - o + o + 2*o + (0 - 2 + 0)*(0 - o + 0).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199113\/16036 - 1\/24054. Let b = 4293 + -85883\/20. What is the common denominator of m and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1611*n**3 - 39581724*n**2 + 13415217*n - 73710 = 0. Calculate n.\nAnswer: -24570, 1\/179, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:50 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -243?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 7 = -2*r, -3*r - 8 - 4 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -42*k - 7. Let d be f(-2). Let c(a) = a**3 + 6*a**2 + 2*a - 4. Let q be c(-5). Calculate the greatest common factor of q and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 11. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*i = 3364 + 4853, -3*i - 5473 = -2*o. What are the prime factors of o?\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let a be (-3)\/(-6) + 14\/4. Suppose a*l - 3*l = -1. Give x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*f - 106 - 125, 0 = f - 2*u + 78. Calculate the common denominator of (2 + 418\/f)*-2 and (291\/(-10))\/(36\/15 + 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (-5 + (1*sqrt(448))**2 + sqrt(448)) - (0 + (-2*sqrt(448))**2)) + (sqrt(700) + 1 + sqrt(700) + 1 + sqrt(700))**2 + 5 + -4.\nAnswer: 120*sqrt(7) + 4070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7*p - 1 - 11 = 4*f - 12*p, 0 = 3*p. Suppose -3*y = -6*y. Let m be 3*(-5)\/(-6)*2. Put m, f, 3, y in ascending order.\nAnswer: f, y, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 581, 3\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gngmpxxngnpmx. What is prob of picking 1 g, 1 n, and 1 x?\nAnswer: 27\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 8277115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-9) - 2\/3. Sort 5, d, 4 in decreasing order.\nAnswer: 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Solve -f = -3*p + 3 - v, 0 = 4*f + p - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {v: 5, s: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 + 4. Let m be j(4). Solve 3*v - 1 + m = 3*u, 3*v + 2 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00084012 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and 4146.876.\nAnswer: 4146.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 53825.8581ms?\nAnswer: 0.00008899778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/40*(1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18721*g**5 - 67*g**4 + g**3 + 5975638*g**2 - 3 wrt g?\nAnswer: -1123260*g**2 - 1608*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/((-3)\/(-54)). Let y = 42 - l. Solve i = 2*c + 6*i + y, 5*i = 4*c + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2*-3)\/18. Let v = 0.6 + -0.2. Let q = v + -0.7. What is the third smallest value in m, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/107019 and 97\/48645.\nAnswer: 535095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (257 + (-10479)\/42)\/((-85)\/(-4)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137*m**2 + 25.\nAnswer: 274*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109355.\nAnswer: 5, 21871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3*(33\/18 + -1). Let a be (-99)\/c - ((-48)\/15)\/(-4). Let p(j) = -84208*j - 48. Let u be p(a). Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1\/15, -0.2.\nAnswer: -0.2, -1\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 2*j**3 - 3 + 662*j**4 - 649*j**4 + 0*j**2 - 2*j as g*j**2 + x*j**3 + f*j**4 + i + u*j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.5 + -0.5. Let u = -1 - d. Let p = -6 + u. Which is smaller: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -90804.\nAnswer: 90803.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-1 + 2)*0. Calculate the least common multiple of (0 - 3\/4)*-24 and (-114)\/(-18) + 1\/d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 440 = -2*b, 5*b - f - 1168 = -77. Suppose b = 3*p - p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3786000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/2 + (2 - 0). Let j(m) = m**2 - m + 1. Let o be j(0). Let s = -3.9179 + -0.0821. Which is the third biggest value? (a) v (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*21\/(-12)*(-30)\/45. Solve 0 = 9*v + 29 + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.9093l to millilitres.\nAnswer: 171909.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000445431 rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + o + 5*b - 11 = 0, 2*o - 2 = 2*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -20073245?\nAnswer: 20073249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - x - 53, 0*g - 3*g + 5*x = 15. Let r = g - -11. Calculate the greatest common factor of 4 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1047574 divided by 1\nAnswer: 1047574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 34*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Let v = 7 - u. Suppose v = y - 5*z, 4*z - 5 = -z. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.86 to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -1\/4 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 183*d**3 + 3*d.\nAnswer: -183*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2720930, -5441862, -8162794?\n\"Answer: -2720932*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22155 and 9849.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1078964*-0.4\nAnswer: -431585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 4:52 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -199692317\nAnswer: 99846158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o + 2*l, -l = 5*o - 5*l - 8. Let n be 2 + (1 - o)\/1. Let g(j) = 1 - 5 + j**2 - 5*j + n*j. Let x(r) = 3*r**2 - 4*r - 9. What is -7*g(b) + 3*x(b)?\nAnswer: 2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -350, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -20.4, 4, -1\/2 in descending order.\nAnswer: 4, -1\/2, -12, -20.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1218 and 8832414?\nAnswer: 61826898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2199738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10602\/(-76)*(-13)\/(78\/4)*(-1)\/(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32543, -33429, -34315, -35201, -36087, -36973?\nAnswer: -37859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 491?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1\/3, 0.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 29 = -18*q. Let w be (-1 + 104\/56)\/((-1)\/q). Let t(u) = 42*u**2 + 35. Let m(f) = 7*f**2 + 6. Determine w*t(v) - 35*m(v).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 617232 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htt when three letters picked without replacement from hhhhhhhhthhhhhhhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5226*f**2*h**3*y - 9*f**2*h**2 + 5*f**2 + 1192*f*h**2*y - 13*h**3*y wrt h?\nAnswer: 31356*f**2*y - 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-72)\/9 - 26880\/(-2048)?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 - (24 - (-19 - -52)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 6577, 5, 4, -12, 1.\nAnswer: -12, 1, 2, 3, 4, 5, 6577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399.4 + -396.4. Which is the nearest to 8? (a) t (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c + 2*s - 5, -3*c = -3*s + 6. Let m be (-2)\/2 + 3 + -1 + c. Solve 12 = -0*x + m*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-3) + 0)\/(-1). Let z = -6893 + 6888. Suppose -5*o - 7 = 33. Put o, h, z in descending order.\nAnswer: h, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1\/3, -10, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*a + 8980, 4*u + 3*a = 5*a + 7192. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5218457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*o - 105624 = 1038*o + 429*o for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215 - 17*q + 81 - 5*q**2 - 96 - 50*q + 277 wrt q?\nAnswer: -10*q - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 56 = -r - 3*h, 2*h = -5*r + 70. Does 8 divide -128*(r\/4 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(833)*-1 + 1 + (1 + sqrt(833))**2 + sqrt(833).\nAnswer: 63*sqrt(17) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:22 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984129 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 3124\/120) + (-7)\/2310?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/40 - 11*z**4\/8 + 21*z**3\/4 - 310*z**2. Solve b(n) = 0 for n.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 877, 1093, 1311, 1531?\n\"Answer: l**2 + 213*l + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k + 1. Let q be m(-3). Let d = 18 + q. Suppose -2*c - v = -12, 0 = 3*c - 10*v + 5*v - 18. What is the remainder when d is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/(3\/45). Suppose 2*b - j*b = -33. Sort 0, b, 2 in descending order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25987268*a**2 + 11019651*a wrt a.\nAnswer: -51974536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779316 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047166 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 84*g - 511. Calculate k(22).\nAnswer: -2843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-8) + 5 - 230\/552.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 6*h**2 - 4*h - 3. Suppose 15*t = 16*t - 8. What is the remainder when g(-6) is divided by 6*((-5)\/20 - (-10)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -24. Let l be (-3 + 1)\/(a\/(-25)). Let k be l - -3 - (-2 - 0). Solve -3*m + k = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) -120 (c) 170 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 531422427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 2 - (13 + (-40 - 2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/3, 38\/21, 64?\nAnswer: 38\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1177480908 + 1177480932.99999946. Let g = c + -25. What is g rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11256630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 58b87 (base 12) to base 15\nAnswer: 254b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1400890\nAnswer: -1\/280178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15875 is divided by 2639?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 16) in base 8?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 0, 0.2, -263?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161097 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7410 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*k - 6954 - 37722, -2*k = 2*g - 14904. What are the prime factors of k?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzs when four letters picked without replacement from {y: 1, z: 6, t: 2, p: 1, s: 3}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 171*q + 173*q - 85 to the form j + b*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12309, -49239, -110791, -196965?\nAnswer: -307761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2637, 8\/61, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 14*f**2 - 50*f - 12. Calculate h(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15766370, -15766369, -15766368, -15766367, -15766366, -15766365?\n\"Answer: d - 15766371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -42. Let n = 0.08 + 0.32. Let b = -255\/2 + 125. What is the smallest value in a, b, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dllblblbddbbl. What is prob of picking 1 d, 2 b, and 1 l?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 + 5870792*o + 5870794 = 0.\nAnswer: -1, 2935397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 2*t + 7. Let n be r(12). Let f = 170 + n. List the prime factors of f.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73349889 and 657.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815654379.\nAnswer: 7, 11, 89, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4231 = -15*i - 91. Calculate the lowest common multiple of 20 and i.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58\/(-14) + 2\/14 - -3. Let p be (c\/((-1)\/(-6)))\/2. Put -1, 1, p, 7 in increasing order.\nAnswer: p, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(3\/10) - 64\/(-433344)*22681)\/1\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + -2)\/1*645\/480 and 77\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4524868 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 5}. Give prob of sequence yyoo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13855933 and 1522630?\nAnswer: 138559330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8643081637 - -2.5?\nAnswer: -8643081634.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 729729 and 4158?\nAnswer: 1459458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25\/52 + 501\/26. Let b(f) = -42*f + 2. Let n be b(7). Let o = n - -815\/3. Find the common denominator of i and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*s + 190. Suppose -s = -4*w - 1. Suppose 2*t - 18 = -5*g, -4*t + 3*g + 48 = -t. What is the remainder when t is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111 and -0.172?\nAnswer: -19.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -123. Suppose -m = -4*m - 3*a + 12, 3*m - 8 = -2*a. Let d be (-5 + -28)*(m - (-2)\/(-3)). Calculate the highest common divisor of d and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*71\/((-37559)\/(-1564))*23?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-2)\/12)\/((-17)\/((-5304)\/(-32))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 16*q = -104 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 5*r + 10*r**3 + (9*r**2 - 9*r**2 + 22*r**3)*(1 + 0 + 0).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2 (c) 1 (d) 3\/3193 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(275) - (sqrt(275)*-2)**2) + sqrt(77)\/(sqrt(7)*-2) - ((-3 + (sqrt(11) - sqrt(396)) - sqrt(11)) + -2))*-1.\nAnswer: -21*sqrt(11)\/2 + 1093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238*i*s - 1531*s with respect to i.\nAnswer: -238*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1623 divided by -3?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4049*0.29325.\nAnswer: -1187.36925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 165?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -1.1 (c) 0.4 (d) -0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**2 + 155*k + 330.\nAnswer: 5*(k + 3)*(3*k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqb when four letters picked without replacement from {b: 5, q: 11}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 3*k**3 + 3*k**3)*(-k + 2*k - 2*k) + 38*k**4 - 19*k**4 - 16*k**4 + (-3*k + 2*k - k)*(-k**3 + 0*k**3 - 2*k**3) - 9*k**4 + 10*k**4 + k**4.\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3)\/(((-112)\/21)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 112 = -2*w - 23. Suppose 4*v + 20 = -5*x, 4*x + 24 = -3*v - v. Let s be (-2)\/8 + v\/(-8). Calculate the highest common factor of s and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 4. Let j(p) = -p**2 - 5. Let d(n) = 3*j(n) + 2*x(n). Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 6 - 4 + 7*w**2.\nAnswer: 5*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9065655 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*f**2 - 2*f**4 - 205 - 31*f**2 - 109*f - 47 with respect to f.\nAnswer: -8*f**3 - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1204)\/(-688)*(-15)\/21 - (2 + (-1113)\/340)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11312 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/6 + 2*w**2 - w. Let h(q) = -367 - 51*q + 27*q - 50*q. Let i be h(-5). Determine a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3154 - 42046 - 58612 = 3047*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 12471*l**2 + 137490*l + 225072.\nAnswer: -3*(l - 4168)*(l + 2)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-14)*(-287)\/(-615). Put f, -5, -0.1 in descending order.\nAnswer: -0.1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 35, 65, 129, 239, 407, 645?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6979.628 minutes to seconds.\nAnswer: 418777.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 97. Solve 5*x - 5*j = -7*j + 1, r*x + 2*j + 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 - 2*i - 7.\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3102*y + 14 = -3100*y + 5*q, -51*y + 357 = -q for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/238 and -113\/23950?\nAnswer: 2850050","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:01 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 - 116249760*k - 3378501675014400 = 0. What is k?\nAnswer: -58124880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/12*n**5 + 1\/120*n**6 - n**2 + 0*n**4 - 42*n - 7\/6*n**3 + 0. Let h(j) = -2*j**3 - 8*j**2 + 11. Give -8*d(m) - 5*h(m).\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 54 (c) -5 (d) -214.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from diedeiedeeeddipeee?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110111011000100 - 1100000?\nAnswer: 1001110111001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -0.05, -1.2, 3, 4\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-1\/4)*z*(z*z\/(z*z\/(((z\/z**8*z)\/z)\/z))*z)\/z*(z**(-7\/4)\/z*z)\/((z*z**(-4))\/z*z) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 + -0.454. Let k = y - -2.4. What is the nearest to k in 1\/6, -8, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-616))\/((-804)\/6633)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2\/3 + 772*j + 67824 = 0. What is j?\nAnswer: -471, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 20 = p. What is the greatest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54689 + -54688.8. Let n = -104.043 + 104. Let r = -4.243 - n. Are h and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 39 = 5*p - 149, -5*p + 3*t = -110. Suppose p*i - 28*i + 18 = 0. Solve -v + z + i = 0, 3*v + 4*z + 15 = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8939.992ns in seconds?\nAnswer: 0.000008939992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*b + b**2 + 380 + b**2 - 31*b**3 - 380.\nAnswer: -31*b**3 + 2*b**2 + 143*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*w = 3, 3*v + 0*w - 3*w = 3. What is the first derivative of -12 + 5 - 2*s**v + 3 wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 1152*i + 151107. Give r(202).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001001 - 101?\nAnswer: -10001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 15) + 0 + (-43 - -55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 385895*q. Let s(d) = 2*d**2 + 4*d. What is u(s(r))?\nAnswer: 771790*r**2 + 1543580*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:36 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 527265030\/1479 - 2\/58 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14953873*y**4 + 12181923*y?\nAnswer: -179446476*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:53 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 251.\nAnswer: 9\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517315 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48212*s*z**3 - s*z**2 + 9*s*z + s - 48*z - 4 wrt z?\nAnswer: -289272*s*z - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2434 - 2434. Solve x = 13*f - 7 - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-3 + 1866\/(-4))*6\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5\/20*-4*((-624)\/180)\/26.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1413 * -0.4445.\nAnswer: 628.0785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 95 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.4559 and -0.4.\nAnswer: 11.78236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 14, v: 4}. What is prob of picking 1 k and 3 v?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5163 and 1119.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:26 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3026709 by -1008903.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*z - 800 + 800 to t*z + c and give t.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iippspipjsjipij. Give prob of picking 2 s and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 32251?\nAnswer: 32251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-2)\/(-16)))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 298 + 203?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/((-1)\/6). Differentiate -j*d**3 + 2*d**2 - 2*d**2 + 3 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*d - 3*a - 343, 150 = 2*d + 2*a. Solve 12 = -d*v + 59*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133862 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: What is 4534858832 to the power of 1\/2, to the nearest integer?\nAnswer: 67341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.83 times -12506?\nAnswer: -122933.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-102)\/15)\/((9\/13635)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(((n**(-20)*n)\/n)\/n))\/n)\/n)\/(n*n**(3\/4)))\/(n**(-1)*n*n)**(-2\/11))**(-3) assuming n is positive.\nAnswer: n**(-2433\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7*7\/(-2)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -9, -4, 32, 9, -8\/3, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1b4b?\nAnswer: -1b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5925254620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*16\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77463.241 - 27?\nAnswer: -77490.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**(-22)*v)\/v))**1)**(-46))**(-10) assuming v is positive.\nAnswer: v**10580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxtjhwt. Give prob of sequence hjx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/2 - 144191*r**3\/2 + 3027609*r**2\/2 - 5621785*r\/2 - 60911825 = 0. What is r?\nAnswer: -5, 13, 144170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 230*x**2 + 5*x + 2. Let a be f(4). Suppose 7*b - 4*b = a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 z when three letters picked without replacement from {b: 4, r: 1, p: 1, f: 1, z: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(216) - sqrt(216) - sqrt(216))\/((sqrt(8) - sqrt(96)\/(-1*sqrt(12))) + sqrt(8)) - (-4 + sqrt(18)\/(sqrt(18)\/sqrt(3))*-5))**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.78 + 0.22. Let x = -234599796.99999926 - -234599814. Let f = x - k. What is f rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0364 and 4?\nAnswer: -0.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 41. Solve -g*x = 10 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*u + 471*u + 3212 = 830*u for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 910\/(-20))*-4*1. What is the third derivative of 182*t**3 - a*t**3 + 27*t**6 - 40*t**2 wrt t?\nAnswer: 3240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + i)*(-3 + 1 - 1) + 4*i + i - 3*i + (2 + 3 - 3)*(2 - 2 - 2*i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - 5*a)*(-1 + 1 - 2) + (4 + 0 + 2)*(-5*a + a + 2*a) as v + x*a and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 5*g**2 - g\/2 - 5.\nAnswer: (g - 1)*(g + 1)*(g + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 211*d**2 - d - 159. Is v(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c + 233. Let w be g(-9). Let o(x) = x - 1. Let p be o(2). What is the highest common factor of p and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56974664 and -0.3?\nAnswer: 17092399.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1872 - 1887 = 4*a - 3811. Solve 10*i + 4*k - a = 5*i, 0 = -i + 3*k - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193174125 to the power of 1\/2, to the nearest integer?\nAnswer: 13899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2178857 - 4225138 = 5*t. Let l = t + 730799. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 + 115. What is the nearest to 0.1 in -54, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 2837 - 847. List the prime factors of j.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3178293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 + 28*w**3\/3 - 2*w**2 - 91*w - 108. Let v be i(-28). Solve 8*o + v = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -1, 0.253, 4.4, 3?\nAnswer: 0.253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2*h - 3*h**2 + (2*h - h - 2*h)*(-h - h + 0*h) + 0*h**2 - 7*h**2 + 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 25565*y - 25565*y + 288*y**2 + 1604*y**2 as h + i*y + a*y**2 and give a.\nAnswer: 1892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = v - 0*v - 2*j, 2*j - 2 = -2*v. Let w = -93 - -1207\/13. Put 0.17, w, v in decreasing order.\nAnswer: 0.17, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 3*l. Let z be h(2). Let f = -2 + z. Factor 0*g**4 + 3*g**5 + g**f + 6*g**2 - 6*g**2.\nAnswer: g**4*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94285, -94210, -94143, -94090, -94057, -94050?\nAnswer: -94075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394082 is divided by 97569.\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101211 (base 4) to base 6.\nAnswer: -5113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 42\/11 - 92\/(-22). Let x(a) = a**3 - 5*a**2 + 5*a. Let f be x(z). Let i be 13 + (1\/(-1) - f). Solve -2*s - i = 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1881, -23.\nAnswer: -23, 2, 3, 1881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 21*n - 216. Let b be 394\/n - 14\/(-126). Suppose 4*m - 8 = 2*m - 2*h, -20 = -5*m - 2*h. Solve m*x + b = 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j\/j**(3\/13)*j)\/j)\/j))\/(j*j**(-3\/4))*(j**(4\/9)\/j*j)\/j*j\/j**10 assuming j is positive.\nAnswer: j**(-4481\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -89 + 19. Let z(b) = 2*b - c - 3*b - 4. Give z(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/10 + (-2)\/(-5). Suppose f - 6 = -t. What is the units digit of (0 - 6)\/(1 - f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11173 - 22338 + 11165 + 5*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7254?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 13*v + 10*v. Suppose -v*d - 89 = -110. Put -18, 2, d in decreasing order.\nAnswer: d, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 4\/3, 14 in decreasing order.\nAnswer: 14, 4\/3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gso when three letters picked without replacement from {s: 4, g: 1, o: 1, e: 1, h: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11792 (base 12) to base 11.\nAnswer: 16799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -106. Suppose 0 = j - r + 4. Let c(b) = 14*b - 34. What is the remainder when c(j) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.82068 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100\/77 - -1054\/693. Solve -f*b**4 - 2\/9*b - 2\/3*b**3 + 0 - 2\/3*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -238039169\/18 + 13214037. Let a = h - -10358. Find the common denominator of 1635\/(-63)*2835\/9450 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33285956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(sqrt(3) + 1*sqrt(192)) - (2*(sqrt(375) + sqrt(15)))\/(-3*sqrt(20)\/sqrt(4))) + -1.\nAnswer: -2 + 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 51.7. Let p = 0.01 + 1.99. Which is the third smallest value? (a) -0.1 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051.33632 rounded to the nearest 10?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*18\/48*-2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 231*j - 4407. What is f(16)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*4\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 453186249 divided by 151062083\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 - 3*x**2 + 18*x - 10 - 6.\nAnswer: -3*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 986\/(374\/(-11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4\/3*x**3 + 5 - 1\/5*x**5 + 0*x**4 + 0*x + 0*x**2. Find the third derivative of j(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256980 is divided by 1891.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (60\/90)\/(0 + -1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 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: Let y = -40 - -39.5. Which is the nearest to 2? (a) 0.5 (b) y (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 3*j**6\/40 + j**5\/20 - j**4\/4 + 8*j**2. Solve m(r) = 0 for r.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/339 + 343\/678. Let o(b) be the second derivative of 0*b**3 - i*b**4 - 8*b + 0 + 3\/2*b**2. What is the derivative of o(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1773\/(-985))\/((-9)\/105)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 582 (b) -648 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 33342802.2 to the nearest one hundred thousand.\nAnswer: 33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10528\/308 + (-1224)\/561 + 6\/3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43860.\nAnswer: 2, 3, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose 2*s = -c - 2*s - 1, g = -s. Suppose -12 = -k - c*k. Solve -4*b + k*b = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5 + -0.055.\nAnswer: -4.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 41*n + 555. Calculate f(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 587\/9. Solve 2\/9*f**3 + i*f**2 - 2\/9*f - 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.087, 3, -3, -6?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 1206?\nAnswer: 31\/1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t + 1090. What is z(67)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11093 + 11092.99982702. What is n rounded to 6 dps?\nAnswer: -0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-2244) - (-4)\/(-22))\/(-21 - -20)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**2 - 2. Let i(w) = 90*w**2 + 27. Let m(g) = 2*i(g) + 27*o(g). Let l(h) be the first derivative of -h**3\/3 - 18. Calculate l(m(r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 0.01, -0.5, -3, -67?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5590039 is divided by 116459.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/65? (a) 0.2 (b) 84 (c) 71\/4 (d) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3470 minus 221?\nAnswer: -3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 1131465.\nAnswer: 85991340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 5)*-1 - -2. Suppose -17 = 3*b - 2*i, 2*i - 5 = -3*b + 2*b. Sort -4, b, k in ascending order.\nAnswer: k, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48700.75 litres to millilitres.\nAnswer: 48700750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -149.201857?\nAnswer: 148.701857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 6. Let f be m(0). Let p be f\/(-3)*3107\/(-2). Let g = -2117 - p. Round g to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5481*p + 115078. Determine m(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 2111132012 (base 4) in base 15?\nAnswer: c1605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**3 + 58*l**3 + 23*l**3 - 68*l**3 + 64*l**3.\nAnswer: 107*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7089967 times 2\nAnswer: 14179934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (132\/(-297))\/(10\/(-3936)). Which is smaller: z or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 4. Let t be (12\/30)\/((-2)\/10). Let o be n(t). Let k be (2\/(-3))\/(o\/57). What is the greatest common factor of 95 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.029 + -21.971. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8562436\/15 - 21\/(-35) - (-4)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*v - v - 5, 4*b - 1 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001101001111010110101 (base 2) in base 13?\nAnswer: 151618b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w - w)*(2*w**2 + 9*w**2 - 2*w**2) - 2*w**3 + 2*w**4 + 2*w**3.\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 93033440233 and -5.\nAnswer: 93033440228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-6 - -2*1). Let i = k - -1. Let h = i + -3. Calculate the least common multiple of h and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoocofcccaokccoocaca. Give prob of picking 1 a and 1 k.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*20203.63.\nAnswer: -424276.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 550 - 280?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(-2))\/c))**(-1\/17)*(c**0)**(23\/3))\/((c**(-6)*(c**(-3)*c)\/c)\/(c\/(((c*c\/c**(2\/7))\/c)\/c))**(4\/23)) assuming c is positive.\nAnswer: c**(25406\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/5 + (-4)\/20. Find the second derivative of 24 - 24 + 2*q**o - 4*q wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g + 117. Let m(d) = 29. Let n(o) = i(o) - m(o). What is n(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14287, -14288, -14291, -14296, -14303?\nAnswer: -14312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10*b - 1 - 37*b + 8*b - 3*b.\nAnswer: -42*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*z + 6*z, 0 = -3*f + 2*z + 81235. Does 49 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -53, -85, -121, -161?\n\"Answer: -2*m**2 - 22*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 1\/2*h**4 - h**2 - 5 + 2\/3*h**3 - 2*h. Factor y(w).\nAnswer: 2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 3643112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*v - 464 + 464.\nAnswer: -1104*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 348. Let p = o + 406. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-214)\/33705*585)\/(-3*(-3)\/63).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/20 - 815*o**4\/12 - o**3\/6 + 815*o**2\/2 - 17*o - 100. Factor f(z).\nAnswer: (z - 815)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 7*d - 31 - 32 + 95)*(-190*d**4 + 219*d**4 + 128*d**4).\nAnswer: 1099*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 3:01 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3 - 5*z + 2*z + z. Let n(p) = -4*p - 5. Let y(i) = 6*n(i) - 11*s(i). Suppose 0 = -f - 4*a + 14, -4*a + 2 = -8*f + 3*f. Calculate y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = -u - 694, 4*u - 282 = -2*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 + 235 = 0. Let p be -1 - (3\/(-9) - (-194)\/6). Let w = p + c. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409748, -409746, -409744, -409742?\nAnswer: -409740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 + 3026*a - 97105. Calculate x(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 4. Let j(f) = f**2 - 19*f - 13. Let k(x) = -14*g(x) - 4*j(x). Determine s, given that k(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012980.\nAnswer: 2, 3, 5, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43644 + -9965. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 0.2 (c) -3 (d) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/12 - 2*r**3\/3 + r**2. Let h be (-1 - (-1380)\/(-28)) + 4\/14. Let n be 5*(-15)\/h*20\/6. Calculate w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.5 + -4.4. Let d = 4 - 3. What is the closest to f in -3, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(105))\/sqrt(7))\/sqrt(3)*6.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 69 = -107 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 52 = -5*q, d - 3 - 25 = -5*q. Let h be (-2)\/d + (-231)\/(-44). Let o(p) = p**3 - 5*p**2 + 6. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/48 + (-7686)\/(-3384).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 41571*x + 457288. What is y(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 + (2 + 0 + 0)*(2 + 0 + 0) + 6 - 2 - 2 - 4 + 1 + 1 + 1 - 3 + 4 - 4 - 1 + 3 + (-3 + 2 - 1)*(-5 + 0 + 3))*(5*u**5 + 2*u**4 - 2*u**4).\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 34*r**2 - 4386*r - 124. What is o(129)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3057375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4087.49995 - -4088.2. What is j rounded to 2 dps?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57880 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -15. Let l = n + -5. What is the remainder when (6\/4)\/(6\/8) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65.05704 months?\nAnswer: 0.00542142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*q + 2*w + 35500016, -4*w = 16. Round q to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t + 72 = 0. Suppose -53 = -4*j + r, 5*r - 2 = 13. What is the lowest common multiple of j and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u + 17*u - 14*u - 16 - 4*u**2 + 10*u.\nAnswer: -4*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 320352582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16936.275212 + -0.124788. Round b to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00946 and 33795208757.\nAnswer: 33795208757.00946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-34)\/(-136) - 27\/156)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 2. Find the common denominator of v(-3) and 6\/(-27) + 154*(-10)\/36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 = -z + 17, -4*y + 68 = 2*z. Calculate the remainder when 96 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 20. Give q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2261 - -1336. Let o = m - -1460. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 6:50 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w + 3. Let b be v(6). Suppose b*s - 4 = 20. Solve -u = -3*u + s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i + 2*z, 5*i + 3*z - 6 = 12. Suppose 0 = w - n - 0*n, 0 = -2*w + i*n - 3. Solve -4*b - u = 4*u - 9, -w*b = -3*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 88 (b) 5 (c) 0.1827 (d) -2 (e) 6\/11 (f) -1\/6 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - v**2 - 5*v**4 - 1 + 5 - 3*v**3 - 2 + 9*v + 4*v**4 to m + h*v**4 + k*v**3 + n*v + d*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*a + 2*v + 6, 3*a = -4*v + 3. Let m(b) = -5*b - 7. Let o = -33 + 62. What is the remainder when o is divided by m(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + 125. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 2*z**2\/3 + 5*z\/6 - 1\/3.\nAnswer: (z - 2)*(z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 148*v + 2 - 7.\nAnswer: -148*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-two fifths of a tonne?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 2*x + 6. Let i(f) = -21*f**2 + 12*f + 42. Give i(a) - 9*s(a).\nAnswer: -3*a**2 - 6*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from sxxseesks.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 67. Suppose -6 = -g*q + 7*q. Factor 1\/4*i - 1\/4*i**3 + 1\/4 - 1\/4*i**q.\nAnswer: -(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 148 = u - 363. Solve u*p - 2*p = -212 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -10.4, -0.4, -10, 2\/29, -16\/7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 141, 197, 305, 483?\n\"Answer: 3*c**3 - c**2 + 4*c + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1213 - -720. Let m = -501 - y. Let c(j) = 0 - 4 + j + j + 0*j. Let p(v) = 6*v - 11. Give m*c(o) + 3*p(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 30.1 (b) 2\/7 (c) -0.1 (d) -198 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*x + 4081*g + 11*x**2 - 1102*x - 28 wrt x?\nAnswer: -g + 22*x - 1102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1760 and 11684640?\nAnswer: 11684640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 11*b. Suppose -10*y - 3*y = b. Let q be y - (9\/3 - 5). Let v(c) = -4*c + 1. What is v(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*l + 5, 0*l - 2*l - 21 = 3*n. Let i be (-31)\/l + (-20)\/(-30). Let w(h) = -9 + i + 0*h**3 + 2*h**3 + h**2 - h**3. Determine w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84478583 to the power of 1\/2, to the nearest integer?\nAnswer: 9191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/56 and 137\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956585 is divided by 59730?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -20, 6 in increasing order.\nAnswer: -20, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 125, 273, 483, 761, 1113?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468 - 448. What is the smallest common multiple of a and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186965049 divided by -140681?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 14 = -4*a + 17, -5*a = 3*o. Is (96\/(-8))\/a*8663\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 - (-9 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/20 + 67*k**2. Let u(g) be the second derivative of -13*g**4\/4 + 1035*g. Give v(u(d)).\nAnswer: -4563*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11323?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5408\/4 - (5 - 0 - 2)?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.84086ms to nanoseconds.\nAnswer: 81840860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.3. Let q = -16.3 + 15.8. What is the second smallest value in q, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.9 - -26. Let n = i - 1. Let h = -2311.5 + 2311. Which is the closest to -2? (a) h (b) n (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -19.3745333.\nAnswer: 19.6745333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 1:35 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 3. Suppose -24 = -155*a + 151*a. Let u = a + c. Is u at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102338 or -102337?\nAnswer: -102337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/7 + 12326*u**2\/7 + 37004*u\/7 - 49328\/7 = 0 for u.\nAnswer: -4, 1, 6166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:33 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 4*c**2 - c - 6*c**2 - 27*c**2.\nAnswer: -42*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 198*h\/5 + 188.\nAnswer: 2*(h - 94)*(h - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 - 5*d**3.\nAnswer: -d**3*(d + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/(-126))\/((-1)\/(-1*6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1, -5*r + c = 2*c + 1. Let f be 5 + -3 + 36\/(-17). Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xikq when four letters picked without replacement from iiqqihirhkixxhiiiqi?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d**2 - 4*d**3 + 6*d**2 - 22 - 5 - d**2 + 0*d**2 to the form s*d**2 + j + k*d + x*d**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 93*o + 23.\nAnswer: (o - 23)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100100111000100101100 (base 2) to base 13.\nAnswer: 1727a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1156\/161 or 8?\nAnswer: 1156\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3646 = 143*b - 358 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720253755?\nAnswer: 3, 5, 13, 410401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/11)*g))**(4\/9) assuming g is positive.\nAnswer: g**(-8\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 12 - -12) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104*10\/2520 - 6\/7. Let m(w) = -w**3 - w**2 - 4. Let a be m(0). What is the biggest value in -3, a, b, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/4)\/1 + -1. Suppose -5*z = -25, -2*z = -3*m + 8*m - 60. What is the remainder when m is divided by 3 - (i + 12\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 0.5 (b) 5\/9 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1998726.6 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.1, 2, 4, -5, 782.9 in descending order.\nAnswer: 782.9, 4, 2, 2\/3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - k - 26 = 65, -k = -5*d + 155. Suppose -11 + d = 3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159\/28*(-284004)\/(-30429)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) - (-2*sqrt(95) - sqrt(95))) + sqrt(95))\/((sqrt(180)\/sqrt(4))\/sqrt(9)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051655.346 milliseconds to weeks.\nAnswer: 0.001738848125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**5)\/q)**(-46)\/(q**(-1\/5)*q*q*q**2*q*q) assuming q is positive.\nAnswer: q**(-1179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 + 2*c**2 + 27*c - 3. Let u(g) = g**3 + g**2 - g + 1. Calculate j(v) + 3*u(v).\nAnswer: -v**3 + 5*v**2 + 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -82\/21 (b) 1 (c) -1 (d) -1\/11 (e) 3\/28 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2248 - -3304. Suppose 276 = 18*z - c. What is the greatest common divisor of 814 and z?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 19. Let z be v(-12). Which is bigger: -7\/2 or z?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/(sqrt(55)\/sqrt(5)) + sqrt(52))\/((sqrt(20)*-1 - sqrt(20))\/sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, 66, -9, -4\/7, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35736552 and 128088?\nAnswer: 35736552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 32*r**2. Let i(l) = -49*l. Calculate s(i(m)).\nAnswer: 76832*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.196565593 and -5?\nAnswer: -0.982827965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p - 2*p)*(-512*p - 597*p + 1646*p)*(-2*p + 0*p - 8*p) - 1 + 2*p**3 - 2*p - 4*p**3 + 3*p**3.\nAnswer: 5371*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22*a + 128. Calculate j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 3}. What is prob of picking 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - k = 964, -3*c + 0*c + 3*k = -1452. Suppose -5*o + c = -o. Calculate the remainder when o is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j + 162*j + 0 + 0 in the form f*j + o and give f.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -720578*s + 244894 wrt s.\nAnswer: -720578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1825.34 + 1826. What is the nearest to 1 in 1, w, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/f**(1\/4))**(-41)*((f**6*f)\/(f*f**(-4\/3)*f))**(2\/23) assuming f is positive.\nAnswer: f**(-1765\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(208) + (sqrt(13) - sqrt(65)\/(sqrt(55)\/sqrt(11))))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 7)*(3*r**4 + 3*r**4 - 2*r**4) + 0*r + 0*r - r**4.\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00365353 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116 and 2?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 49*s**2 + 516*s + 117. Give u(-34).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 136, 301, 532, 829?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*y + 4, 0 = -2*z + 5*z - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3475 (base 8) to base 15\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -53)*3\/(-4)*1120\/(-84)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-8) - ((-6 - -3) + -8))*16\/(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 539*d - 99. Suppose 6*j = -353 - 241. Let v(q) = -11*q + 2. Let g(f) = j*v(f) - 2*r(f). Let y(w) = -w**2. What is g(y(i))?\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -11*z + 763. Is 54 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 <= -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 13*i**4\/6 + 5*i**3\/6 + i**2 + 6*i. Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g = 44*g + 2898. What is the highest common factor of g and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(700)*3)**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/6 + 1267*z\/3 + 2533\/6 = 0 for z.\nAnswer: -2533, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.5. Let i = s - -5.6. Which is the second biggest value? (a) 0 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -292, -128 in ascending order.\nAnswer: -292, -128, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34c + 2?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, 0.1, -0.2, -1\/24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.8348?\nAnswer: 3.6696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - (-19)\/(-38). Let w = 2 + -7.2. Let d = 5.8 + w. Sort -1\/4, j, d in decreasing order.\nAnswer: d, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.077481 and 0.048.\nAnswer: 0.003719088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -6733?\nAnswer: 6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 greater than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242404 + 1?\nAnswer: 242405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838404 is divided by 612799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 2, s: 4, e: 2, j: 2, x: 8}. What is prob of sequence sees?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20000 (base 3) to base 13\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 40, 99, 182?\n\"Answer: 12*f**2 - f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 48)\/(3 + 1)*-84?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32bca (base 16) to base 5.\nAnswer: -23122233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2449 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.885 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 17*o**2 + 142*o + 73. Give x(-23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -47.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/8)*s)\/(s**(2\/11)*s))**(-24\/13) assuming s is positive.\nAnswer: s**(-183\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2154 - 1758*f**4 - 534 - 348 wrt f?\nAnswer: -7032*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.05537 nanometers to meters.\nAnswer: 0.00000007105537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000815222905 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88060431 take away -3?\nAnswer: 88060434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 5. Suppose 0 = -3*o - 5 + 23. Determine l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7)**22)**22 assuming s is positive.\nAnswer: s**3388","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 5*f + 8. Let l = -12 - -6. Calculate x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/854 and -85\/366.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71870 and 0.1?\nAnswer: -7187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 50. Suppose 5 - 45 = -4*j. Let h be z(j). Does 34 divide (h + 7)*68\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*v = -181, 0 = -0*t - 4*t + v + 199. Suppose t*g - 46*g - 78 = 0. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 108.\nAnswer: 12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -5, 7, 0.18 in descending order.\nAnswer: 7, 0.18, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**10))\/x*x*x)**(8\/3) assuming x is positive.\nAnswer: x**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -342117, -342110, -342091, -342054, -341993, -341902?\n\"Answer: y**3 - 342118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 231 = 3*c, 191*c = 193*c - 14*o + 268 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -13*s**7\/70 - s**4\/8 + 11*s**2. Find the second derivative of o(k) wrt k.\nAnswer: -468*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b - 7. Let f be y(4). Suppose f*p - 12*p = 0. Solve -25 = 5*n - p*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 448893, 448896, 448899, 448902, 448905, 448908?\n\"Answer: 3*x + 448890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 61 = 5*g, -6*g = o - g - 16. Let w be 2 - -3*(-6)\/o. Let v be 27\/12 - (-2)\/(-8). Sort -1, w, v.\nAnswer: -1, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 - 2)*(2 - 1 + 1) - 1 + 3 + 0 + 44 - 7 + 35)*(11*r + 26 - 26) in the form w*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 460*v**3 - 11*v**2 - 1 + 11*v**2 + 3*v - 857*v**3 + 0 to k*v + d*v**2 + o*v**3 + c and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 10940.\nAnswer: 2\/2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*w = -9, -19 = -0*q - 5*q - 4*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(4\/7)))**(4\/5) assuming d is positive.\nAnswer: d**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - -0.06. Let f = -31 + 33. Let v = f - k. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32142\/23, 2\/11, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 2*k. Let v be 3\/(k - 2) - 65. Is 27\/(-6)*v\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*l**3 + 6 + 17*l**3 - 6 - 372*l**3 + 123*l**3 + 120*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-45)\/(-17))*(-2)\/6.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-2*y**3 + 461 - 461 + 151*y**2)*(-2 - 3 + 3) + 2*y**2 - 2*y**2 + 2*y**3 + (2*y**2 + y**2 - 4*y**2)*(y + 3 - 3) - y**2 + 2*y**3 + y**2.\nAnswer: 19*y**3 - 1208*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488205, 488204, 488203, 488202, 488201?\nAnswer: 488200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.007.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5022068 and 5088.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 52. Let x be (-122)\/k + 3\/(-12). Solve -17*n + x*n - 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(61*d - 105*d - 122*d) + 57 - 57 - 22*d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 6. Let w be o(9). Suppose w*f - 2*b = b, -2*f + 4*b = 6. Sort f, -2, 0.4 in increasing order.\nAnswer: -2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -23*v**3 - 46*v**2 - 28*v + 19. Let d(w) = w**4 - 46*w**3 - 90*w**2 - 56*w + 39. Let p(q) = -3*d(q) + 7*x(q). Factor p(s).\nAnswer: -(s + 2)**2*(s + 4)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let a(h) = -h**2 - 2*h + 4. Let n be a(0). Let f(o) = -o + 0*o + o + n*o. Calculate i(f(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = -2*q + q, -q + r - 1 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4 + 0*h + 0*h**2 - 6 - 2\/5*h**5 - 2\/3*h**3. Factor n(f).\nAnswer: -2*f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l. Let y = -1 + 8. Suppose 6 = -3*c - y*b + 3*b, 0 = -3*c + 4*b + 18. Let s(u) = -u**2 - 3*u**2 + c*u**2. Calculate o(s(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -6 + -42 + 35.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - 6)\/(123\/615) - 68\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwavvllvlla. What is prob of picking 1 l and 1 v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*n + 4*x, -n + 23 = 4*x - 7. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39957, -79919, -119883, -159849?\n\"Answer: -r**2 - 39959*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 69548739.\nAnswer: 4\/69548739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(9)*-3))\/(6*(sqrt(4) + sqrt(100))).\nAnswer: -sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 6*w. What is the second derivative of -w*z**3 + 15*z**3 + 0*z - 6*z wrt z?\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575849139 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1260176168.99999974 - 1260176212. Let b = 43 + q. Round b to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74589?\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5*(sqrt(125) + -4))**2 + sqrt(125) + 1*(-4 + sqrt(125))*1)*4.\nAnswer: -3960*sqrt(5) + 14064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-10)*25\/10. Let r = q - 14. Suppose -7700016 = 3*t - 2*t + 4*g, -4*t - 3*g - 30800012 = r. What is t rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4 + 46447*r**3 + 707828694*r**2 + 3359213959828*r - 2745435639446024 = 0. What is r?\nAnswer: -15718, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-4*p - 5*p - 7*p)*(p - 3*p + p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 5, 4, -0.1, -216\/455?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n + 180. Suppose -88*c - 3122 = -n*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 2*j + 1 - 2*j + j**4 + (1 - 1 - j)*(-14 + 14 + 5*j**3) as c*j**4 + u*j**3 + g + v*j + x*j**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 - 2*u + 2. Let y(r) = -r + 1. Suppose 3*w - 9 = 2*o - 1, -4*w + o = -9. Determine w*y(a) - d(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0 - 9*p**2 + 1\/2*p**3 - 5*p. Let o be s(6). Which is the nearest to o? (a) -0.3 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -939*f**4 + 1857*f**4 + 1039*f**6 - 917*f**4 - 198*f**2 + 2 + 4 wrt f?\nAnswer: 124680*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - -77?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4\/(-10) + (-22132)\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 3. Let t be p(-3). Calculate the remainder when 35 is divided by 175\/15 + 2\/t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7*o - 8 = 0, -2*o - 8 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 62222 = -8398. Let r = 100824 + v. What is r rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5228 at most -5227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:01 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3671 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-1))\/(6\/(-4)). Let g = j - 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4299*j**2*r**4 - 20*j**2*r**2 + 38*j**2*r + 18*j*r**2 + 4*j*r + 2*j + 7736*r**6 + r**2 wrt r?\nAnswer: 103176*j**2*r + 928320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -2. Let u = -0.24 + 9.24. Let c = g + u. What is the smallest value in c, -1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/12 + 14*l**3\/3 + 609*l**2. What is g(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2201367658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25287, -25631, -25975, -26319, -26663, -27007?\nAnswer: -27351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/21*-1*9. Let t be 648\/(-4)*2\/b. Let z be 18 + 44\/(-7) + 3\/(441\/42). What is the highest common divisor of z and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g + 4. Let d(p) = 7*p + 3. Calculate 3*d(f) - 2*w(f).\nAnswer: -2*f**2 + 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Is 76230660 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r*r*r*r\/(r\/(r*r**(9\/2)\/r)*r*r)*r)))**(-27)\/(r**(-12))**(-39) assuming r is positive.\nAnswer: r**(-1395\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4021965 and 5977?\nAnswer: 172944495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((450\/(-84))\/15)\/(5*17\/((-272)\/2))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 8*c**2 + 6*c - 4. Give d(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361*o**2 + 0*o - 13120*o**2 + 0*o.\nAnswer: -11759*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -24*q - 15. Let d(a) = -a - 1. Let b(m) = 30*d(m) - 2*p(m). Let j(x) = x. Calculate -b(o) + 15*j(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 + -0.3. Let l be ((-3)\/9)\/(0 - 1\/(-9)). Which is the second smallest value? (a) l (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*j*s**2*w**2 + 4*i*j*s*w**3 - i*j*w**3 - 15*i*s*w**2 + 3*j*s**2 - 2*j*s*w**3 - 14*s**2*w**3 wrt s.\nAnswer: -6*i*j*w**2 + 6*j - 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, 30, 0.4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283 + 282.867. Let b = m - -0.025. Let q = 18.108 + b. Which is greater: 0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 + 6 = 0. Suppose -3*a + 1 = -g, u*a - 25 = -3*g + a. Suppose 4*b - 163 = 5*i + 96, -g*i = -25. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 5:13 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 2*k**2 + 4*k + 2. Let t(c) = c - 11. Let u be t(9). Calculate the lowest common multiple of r(u) and 7*((0 - -1) + 1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*a - 16 = 0, 4*m - a = 4*a - 2. Suppose -28 = -3*s + f, -m*s + 2*f = f - 17. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 43*f + 85*f - 1 - 42*f - 11*f**3 as v*f + q*f**2 + k + p*f**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 4*v + 8. Let j(q) = -2*q**2 + 1. Let i be j(2). Let p be y(i). Let n = p - 39. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 1 - 77. Let n = m - 36. Find the third derivative of 4*y**6 - 39*y + y**n + 39*y wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*v + 25*d**3 - 2*d**2 - 681*d*v wrt d.\nAnswer: 12*d*v + 150*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525398 to the power of 1\/2, to the nearest integer?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21589 - 0.038142.\nAnswer: -0.254032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, d: 6, a: 2}. What is prob of picking 1 q and 1 a?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30859 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 972613.2ms in minutes?\nAnswer: 16.21022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*-1*6)\/sqrt(8))\/(-2*sqrt(243)*1).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6631*l + 64269. Determine y(10).\nAnswer: -2041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684456 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*t*t*t*t**(-7)*(t*t**(-7)\/t)\/t**(1\/12) assuming t is positive.\nAnswer: t**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446850 is divided by 373.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38430)\/1512)\/305*996?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1665*m - 1678*m = -232544. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -6.8211, -2\/11, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-63))\/(-4)*6\/14. Sort -5, 0.6, t in decreasing order.\nAnswer: 0.6, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/24 - (-225)\/24. Let q = -9 + j. Factor 1\/4*d + q*d**2 - 1\/2.\nAnswer: (d - 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/13 (b) 9 (c) -0.06 (d) 3308\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 times 0.5579?\nAnswer: 1114.6842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let k(z) = 4*z. Let x(j) be the first derivative of -2 + 4 + 2*j**2 - 4. Let f(c) = 2*k(c) - 3*x(c). Give o(f(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a**4\/4 - 11*a**3\/4 - a**2\/2 = 0. What is a?\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*o**2 - 65*o**2 + 66 + 83*o**2 - 66.\nAnswer: 233*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 13. Let i be x(13). Suppose -6*d - 3*d + 54 = i. Suppose p - 841 = -d*f + 2*f, 199 = f - 2*p. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 1\/2*i**3 + 27 - 6*i + 0*i**2. Determine x so that l(x) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**3 + 64*i**2 - 684*i - 11. Calculate j(-14).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -166.2 from -6287409.\nAnswer: -6287242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1384*c + 405876. Give g(293).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000249962 to 7 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -241525 (base 6) in base 11?\nAnswer: -14987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - k + 3*k - 14, 0 = -5*n - 3*k + 11. Suppose 0*o = n*o. Find the first derivative of -2*t**2 + 1 - t**2 + o*t**2 + 4*t**2 wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w - 1. Let b(o) = -o. Let f be (2\/3)\/(2\/3). Let a(m) = f*y(m) + 3*b(m). Let d be a(1). Solve d = 4*k + 2*t - 3*t, -4*k = 2*t - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100 - 0.07\nAnswer: -100100.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0257, -14\/31, 185 in descending order.\nAnswer: 185, -0.0257, -14\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxkuy. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3274)\/(-4) + (-1)\/2. Let g = 1339 - h. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110000011101101000001011 + 10?\nAnswer: 101110000011101101000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*n + 316404, 74664 - 391062 = 2*t - n. Round t to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191412088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11203\/4 = 2802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/7, -3, 0.058, -7, -4?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -334, -690, -1046?\n\"Answer: -356*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 3*h + 2*h)*(2*h + 3*h + 32*h).\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - 0) + (4 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2345, 2137, 1893, 1601, 1249, 825, 317, -287?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268394 is divided by 3242.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 2\/3 (c) -8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 + -2)\/4. Let w(n) = n**2 - 2. Let d be w(-2). Put -2, s, d in decreasing order.\nAnswer: d, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 42\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -69*r**5\/20 - r**4\/12 + r**3\/6 + r**2\/2 - 8*r. Let t be n(-2). Suppose -62 = 5*m - t. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -42. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {x: 3, u: 4, h: 6, y: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 3. Suppose 0*o - o + 2 = 0. Suppose h = t - 12, 5*t = t + o*h + 58. Let m = 15 - t. What is l(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-45) - (-569421)\/20385?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 415776 divided by -183\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u - 11. Let f(o) = o**2 + 62*o + 288. Let y be f(-57). Calculate b(y).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44663, 44650, 44637, 44624, 44611, 44598?\nAnswer: 44585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6465 - 5574. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 447797.8 to the nearest 1000.\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 22 = -118*m + 113*m, -3*x + 2*m = -7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2724107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -386448 and 34?\nAnswer: -13139232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*3\/6 - -7. Suppose 34 + 6 = q*t. What is the lowest common multiple of t and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 6*t = 35, -3*j = -8*j - 3*t - 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 320 + -375 - (2 - 15)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.1, -0.2, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 43*m**2 - 61*m - 785. Let q be l(-42). Suppose -420 + 138 = -2*i - 4*t, 0 = i - 4*t - 147. Calculate the greatest common factor of i and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 3*h + 4. Calculate w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.61469 and 807.\nAnswer: 807.61469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 13 = 16*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/66 and 41\/33607296.\nAnswer: 369680256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5080 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/70*860\/344?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + a + 2*a + 4 + a**2 - 3*a**2 + a**3 + 2*a**2 in the form h*a**2 + o + f*a + l*a**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12 and 74\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261512642?\nAnswer: 2, 3719, 35159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130 divided by -6.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l\/l**(5\/3)))*l*l*l*l**1*l)**11*(l**(-2\/3))**(-2\/19)*(l**(2\/7))**16 assuming l is positive.\nAnswer: l**(8420\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 n when four letters picked without replacement from hvunnvnheheavnhne?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 262*s - 3208. Let p be n(-13). Sort 1, 3, p, 2, 11.\nAnswer: 1, 2, 3, 11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/6 + 5\/3. Let h = 9.194 - 0.094. Let g = -1.1 + h. Which is the third biggest value? (a) l (b) g (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*n**5 + 47*n**2 - 20*n + 80?\nAnswer: -3900*n**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1. Let s(f) = -f - 15. Let g(y) = o(y) - s(y). Let h be g(-10). Suppose 2*v + 0 - h = 0. Solve -k + 12 = v*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -421, -842, -1263, -1684?\n\"Answer: -421*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 - q**3 + 5*q**3)*(-2906 - 81*q + 2906 + (4*q - 4*q + 2*q)*(-3 + 0 + 1)).\nAnswer: -85*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 282470752 a multiple of 1172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(140\/(-54)) - (2 - 24\/10). Let u(v) = 3*v + 3. Let a(o) be the second derivative of 2*o**3\/3 + 2*o**2 + 4*o. Determine k*u(z) + 4*a(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 - q**2 - q. Let s(z) = -22*z**3 + 3*z**2 + 4*z. Calculate -7*f(t) - 2*s(t).\nAnswer: -5*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 29. Suppose 4*l - 5*h = -0*h - 8, b = 5*l + h. Solve 2*u + q + 3 = 0, 2*u + 5 = -l*q - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3893*z**3 + 7751*z**3 - 3885*z**3.\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 29*y + 3*k + 32 = 0, 5*k + 9 = 2*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 413, 827, 1241, 1655?\n\"Answer: 414*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.149 times 27?\nAnswer: 4.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - 10*m - 38. Let i be f(-9). Let u = -246 - i. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - 6. Suppose b*p = 8*p - 4. Solve -5 = 2*s + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**3 + b**4 + 291*b + b**2 - 291*b)*(-3 - 2 + 6) as z*b**3 + f*b**2 + w*b + y + s*b**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11216 is divided by 1852?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/29, -1, 2\/35, 19, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 5*r - r - 4*r - 3*r + 10*r to o + w*r and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -543*s**6 - 65*s**5 - 3399*s**2 + 6*s + 2 wrt s.\nAnswer: -65160*s**3 - 3900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24246.1652 - -24249. What is f rounded to 2 dps?\nAnswer: 2.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.31 + 5.31002249. Round v to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -2927.\nAnswer: 153\/2927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/17, 7 in ascending order.\nAnswer: -2\/17, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*1 + (sqrt(208) + (sqrt(208) - (sqrt(208) + -1) - sqrt(208)) + sqrt(208))**2.\nAnswer: 20*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 219100 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 + 65*c**2 - 17*c**2 - 41*c**2 - 76*c**2.\nAnswer: -78*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 343 + -780. Let l = -96 - b. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 9. Let t(h) = 1. Suppose -4*z + 60 = -0*z. Let x(n) = -n + 5 - z + 16. Determine y*x(v) - 6*t(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3772466867 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499148927 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: Does 78 divide 19535221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 534 (c) -51.07 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 41, 54, 83, 134, 213?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/13, 4\/15, -0.2?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3)*(-1)\/1. Let x = 1 - f. Suppose 0 = 4*r - x*r - 52. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 1 - 7. Suppose 3*q - 8*q = -m, 4*m - d*q = 51. What is the third derivative of -9*r**2 - 5*r**2 - m*r**5 + r**5 wrt r?\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -79*p**2 - 57585*p + 4425. What is w(-729)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -849, -1274?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8509 is divided by 71.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7253*x + 40478 - 147531 = 117790 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -589 - 457 + 49*x + 1315. Let y be r(-5). Solve 5*q = -q - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88339486, 88339494, 88339502, 88339510?\nAnswer: 88339518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 322665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - 4.84. Let j = 2 + t. Put -0.5, -2\/5, j in increasing order.\nAnswer: j, -0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 300, 923, 2128, 4107, 7052?\nAnswer: 11155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32721 and 43615.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581987 is divided by 16166?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 0*m)*(-2*m - 3*m + 2*m) + (-2*m**2 - 2*m**2 + 3*m**2)*(-6 - 1 + 0).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-360)\/(-14) - (-4)\/14 is divided by 4\/10 - (-68)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503054 is divided by 296?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:38 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + -23 + (-1 - (-11 + 3))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 386*a**2 + 4653*a + 14. What is c(-12)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 2)*(2 - 4 + 1) - 2 + 2 - 1 + 2 - 5 + 1)*(3*d**4 + 5*d**4 - 5*d**4).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -105, -232, -399, -600, -829, -1080?\n\"Answer: z**3 - 29*z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3480 and 361398?\nAnswer: 7227960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33300\/(-15725)*(-34)\/6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 91*t**2 + 169*t + 344. Is s(117) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1775669 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.14516 centuries to months.\nAnswer: 19374.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 + 2*d - 5. Let w be z(-4). What is the nearest to -1 in w, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 91.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 b, and 1 c when four letters picked without replacement from rmmcmbgrrrprg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300822 or -300824?\nAnswer: -300824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 101. Let c = 64 - h. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 1430*l**2 + 5*l - 2*l + 794*l**2.\nAnswer: -636*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (8 - (9 - 16))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*v - 32*v - 175*v - 30*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -27. Let c = v - -547. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 11*r - 20. Let l be ((-30)\/9 - -3)*1*-18. Let f(i) = 2*i**2 + 6*i + 10. Let g(h) = l*x(h) + 13*f(h). Factor g(z).\nAnswer: 2*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from nrgcxcnncxgh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) + (1 + 381)\/(73544\/(-290)).\nAnswer: -2\/317","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85.54781cm?\nAnswer: 0.0008554781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -27065 and -54131\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 86\/2 - (-6 + (4 - 2)). Suppose -5*i - 67 = -l. Let k = 273\/2 + -139. Which is the closest to -1? (a) 0.4 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/330 - (-2 - 36\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -31, -11, 17?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/54748*(-14)\/21. Let j = -1820359\/164244 - m. Calculate the common denominator of j and 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 - 9*y + 10. Let a(x) = 5*x**2 + 8*x - 9. Let g(z) = -3*a(z) - 2*c(z). Suppose q - 11 = -4*s, 2*s = -5*q + 4*s - 33. Give g(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67739915228.2 + -1\nAnswer: -67739915229.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16\/5 (b) 25984 (c) -2\/17 (d) 2 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158651.\nAnswer: 59, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1572 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5272 - 5270. Solve g*o + 22*a - 1 = 21*a, 0 = -2*o - 3*a + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-14 - -27)) + (1 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 33 + (-174 - -141)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-60))\/((-3)\/(-234))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 41*u**3 + 4*u**3 - 13*u**3 - 14*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xssxdsxx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -15, 8, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -79. Solve 0 = -u*p - y + 11, 4*y + 11 = 4*p + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10775\/89554?\nAnswer: -10775\/89554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14111 to 3 decimal places.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 26*p + 31. Let r(o) = 17*o + 21. Let x(y) = 5*d(y) - 7*r(y). Let g(l) = -2*l + 7*l + 3 - l. Determine 8*g(j) - 3*x(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 + 16*m**2 + 12*m + 20. Let z be b(-6). Suppose -1283 = -3*s - z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -5.940838128?\nAnswer: -6.440838128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37913*f**3*k**4 + 11*f**3 - 2*k**2 - 5092 wrt k.\nAnswer: -151652*f**3*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6983 and 134922.\nAnswer: 942160326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/8)\/(45\/(-24)). Sort f, 2, 0.3.\nAnswer: f, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aca when three letters picked without replacement from caaccccacccccccccacc.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -1. Let r = v + 0.4. Let y = 227.3 - 227. What is the closest to r in 1, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350712953*c**3 - 72267*c**2 + 188*c + 8.\nAnswer: 2104277718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtbbtbbtb. What is prob of picking 2 t and 1 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*c - 542. Let y be (1\/2)\/(4\/c). Suppose 3*x - 3*r = 157 - y, 3*x - r - 124 = 0. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 36. Let y be -4 - (-2)\/3*(-72)\/16. Let d be c(y). Let j = d - 10. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What is the second biggest value in 2\/7, -2111, 1\/3333?\nAnswer: 1\/3333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus 3264746152?\nAnswer: -3264746152.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7*k - 4. Suppose k*c - 3*q - 752 = -2*c, -2*q = -8. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:15 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725 = -2*c - 0*l - 5*l, -5*l - 1375 = -4*c. Let p = 362 - c. Let j(t) = -t + 9. Let d be j(6). Solve 0 = d*s + 2*s - 5*b + 25, 4*s + 4*b + p = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -82. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-20))\/((-1)\/40*-2). Let c be (5\/20)\/((-1)\/t). Suppose 0 = -c*l + 5*b + 15, 4*l - 2*b - 43 = -5. Solve 0 = -5*w + l, 2 = -3*r + 2*r + 2*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.138 + 90.138. Let q = a - 89.99953. Round q to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppf. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:29 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14519*l - 14514*l + 15 = 3*u, -98*l = 588 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**4 - 140405*s**3 - 4207155*s**2 + 13885245*s = 0.\nAnswer: -28051, -33, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/(391\/(-23)) - -2 - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 43*q = -156. Suppose -38 = -q*k + 10. Solve -k*g = x, -3*x + g + 11 = 2*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 86\/2 - (-3 + 1). What is the greatest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.159, -5 in decreasing order.\nAnswer: 0.159, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.23 (b) 1\/2 (c) 70 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60189, 120377, 180565, 240753, 300941, 361129?\nAnswer: 421317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15831 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/25)\/(32\/10).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 3*g**3 - 3*g**3 + (-4*g**2 + 4*g**2 + 14*g**2)*(-g - 3 + 3)*(2 - g - 2) to the form t*g**3 + v*g**4 + q + l*g + h*g**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 9 + 9 - -11 - (3 - -4)) + 53?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1031*n + 91 - 173 + 82 as j + k*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -39*f**3 - 2*f**2 - 2*f. Let n be b(-1). Let g be (-22)\/(-77) + (-66)\/(-14). Suppose -g + n = d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18235 divided by 7?\nAnswer: -2605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*z + 62*z + 474 = 0. Which is the closest to 2\/7? (a) z (b) 4 (c) -3\/74 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -349, -524?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1510 - -1?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297\/(-90) - -3 - (2114737\/698610 - 30\/9).\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 2292621.\nAnswer: 36681936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:13 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 - 2*s + 3. Let c be d(1). Suppose -3*t - 5*y - 7 = 0, -14*y = -18*y + 4. Put t, 3, c, -1 in descending order.\nAnswer: 3, -1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-156)\/51)*2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-16)*l*l\/(l*l**(2\/27)\/l) assuming l is positive.\nAnswer: l**(-380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/(-1)*(-4)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 278248*d**3 + 89284804*d**2 - 7179080160*d.\nAnswer: 4*d*(d - 69240)*(d - 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/540 - (-8)\/(-180)*5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*t - 110*t + 994 + 214*t - 994.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/12 and 59\/1754.\nAnswer: 10524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 293, -5853, -4, 1 in decreasing order.\nAnswer: 293, 1, -4, -5853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-5))\/((-25686)\/21405)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - t = 2*t + 40, 4*x = 4*t + 40. Let d = x + -3. Suppose -2*y = d*y - 20. Put -2, y, -3 in increasing order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 570.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 676 - 672. Solve -6 + 2 = -m*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 28 = 4*u, 0 = 5*i + 2*u - 0*u - 50. Let g(v) = 3*v. Give g(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g - 2*g)*(-126*g - 118*g + 239*g - 10).\nAnswer: 10*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 81?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.9. Let w = 0.9 + y. Which is the second smallest value? (a) 0.4 (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148130000 rounded to the nearest 1000000?\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-8)\/((-160)\/(-70)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 11*a**2 + 32. Let m(k) = -3*k**2. Determine s(m(z)).\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/6, -1\/2, -5, 0.2, -43?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 340454 and -0.2977.\nAnswer: 340453.7023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 + l - 2. Let a(q) = 76*q**4 - 3*q**3 - 3*q**2 + 27*q - 6. Let z(i) = -a(i) + 3*n(i). What is the second derivative of z(j) wrt j?\nAnswer: -912*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (65700\/(-350))\/(2\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2)**2 + sqrt(11) + (sqrt(11) - (sqrt(99) + 1 + sqrt(99)))**2 + 1.\nAnswer: 11*sqrt(11) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-462)\/12 - -40)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 + 10001000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/4 - v**3 + v**2 + 1. Let d be (1\/1)\/(-4*(-8)\/(-96)). Let g be n(d). Let t(l) = -l**2 - 5*l - 2. Determine t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4550 + 4574. Factor -22\/3*x - 4\/3 - t*x**2.\nAnswer: -2*(x + 1)*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*(26 + 11 + -13)\/(840\/200)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.46833426 rounded to 1 decimal place?\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23290995450.2 - 23289946375.90079. Let d = -1049082 + n. Let y = d + 7.7. What is y rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v + 170. Give w(12).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - 1.1. Sort n, -4, -2\/17 in descending order.\nAnswer: -2\/17, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2650 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 + 18 + 6\/(-2). Let w be 23\/2 - n\/(-4). Suppose b - 2*b + w = 0. What is the remainder when 42 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 36577412042 and 0.9.\nAnswer: 36577412042.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 218 * -640928\nAnswer: -139722304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2142099 divided by -238011.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52969716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/741 (b) -27 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 197bba5 - 5?\nAnswer: 197bba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 34*q - 57. Let x be k(-6). Let y = x + 759. Suppose -y = 3*a - 6*a. What are the prime factors of a?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 5*c**2 - 6*c. Let k(b) = b**3 - b**2 - b. What is 6*k(x) - n(x)?\nAnswer: 10*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v + 68 = 0. Let i = v + 18. What are the prime factors of i*-62*(0 - 1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 8:46 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(6\/7)*j*j**(-25) assuming j is positive.\nAnswer: j**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 16 = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 362.32?\nAnswer: -1086.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, -5, -2\/11, -110\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 448 + (-3 - (-24)\/9)*-6. Let x = 1660 - t. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -48. Suppose k + 291 = z*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 1. Let n = -265 - -254. What is the units digit of ((-3)\/q)\/(3\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3\/4 - 1931*x**2\/4 + 4231*x + 4715 = 0.\nAnswer: -1, 10, 1886\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -16\/11 (b) -3\/2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198396 = -4*n - 2*k, n - 2*n - 49610 = -5*k. What is n rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))\/m)**(-2)\/(m*(m*(m*m*m**(-1\/3))\/m)\/m)**(-2\/75) assuming m is positive.\nAnswer: m**(92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 252, 232, 194, 132, 40?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-4) - (-28)\/2. Let i be (-4 - b\/(-5)) + -16. Let g = 62 + i. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 634 and 22302535?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 6*p + 0*p + (-1044 + 37*p + 14*p + 1025)*((2 - 2 + 2)*(4 + 2 - 4) - 1 - 1 + 3).\nAnswer: 254*p - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d - 3. Let r be (5 - (-7)\/(-2))*8\/(-3). Calculate i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -96*t - 391. What is h(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + (14 - 4) - -31 - 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (44 - 19) + -17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d**3 + 2*d**2 - 21*d + 1. Let j(b) = -33*b**3 - 3*b**2 + 36*b - 3. Give -5*h(r) - 3*j(r).\nAnswer: 19*r**3 - r**2 - 3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 19 + 28)*(-5 + 5 + w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.153 in -1.4, 2, -2.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219885, -219811, -219653, -219369, -218917, -218255?\nAnswer: -217341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140048*d**2 + 279354*d**2 - 139312*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3987.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102023133 (base 4) to base 8.\nAnswer: 221337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 and -31\/34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 47*p - 111*p - 7)*(2 - 2 - p) as w*p + x + h*p**2 and give h.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 71, 0, 2, -3, -167, -6 in decreasing order.\nAnswer: 71, 2, 0, -3, -5, -6, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501992051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**3 + 3*n**2 + 4*n + 5. What is k(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54599 - 54599 + 265*w.\nAnswer: 265*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 45. Suppose y = -4*o + 1457 - 385. Suppose 4*v - 84 = o. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1025 + -850. Calculate the remainder when n is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + v + 13 = 0, -18*v = 5*u - 20*v + 51 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*q + 67*q + t - 7, -2*t + 12 = q. Let a(z) be the second derivative of -5\/12*z**4 + 0*z**q + 3\/4*z**5 + 0 - 11*z + 0*z**3. What is f in a(f) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/22, -2\/577, 3, -0.052?\nAnswer: -2\/577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -45, -3 in descending order.\nAnswer: 3, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 3 + (1 + sqrt(19) + sqrt(19))**2 + -1).\nAnswer: 8*sqrt(19) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1843a5a01 + -4?\nAnswer: -1843a5a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/6828550 and -28\/82625455?\nAnswer: 826254550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/5 - 79*t**2 + 7402*t\/5 - 13216\/5 = 0. Calculate t.\nAnswer: -413, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 437\/10 - -4\/5. Calculate the common denominator of (-59)\/177 - 2\/(192\/(-206)) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5866\/333 and 18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.01 - -933.49?\nAnswer: 917.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -45. Sort c, 1, 3 in ascending order.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**2 + 260*k - 105. Is 211 a factor of h(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 6 = 36. What is the smallest common multiple of 6 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s + 66*s + 6*s**3 - 34*s.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/1339 - 36157\/2678. Find the common denominator of f and 125\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + 19.5. Is 1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12*a - 1. Let k(u) be the first derivative of -13*u**2\/2 - u + 3508. What is 4*k(t) - 5*o(t)?\nAnswer: 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 830067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 32)*(-6)\/(-9). Let n = w + -11. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329825.\nAnswer: 5, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14901*l + 14901*l + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 - -145.99999921. What is z rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 13) + 8 + (-48)\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) 39 (c) -593.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0368505 from 2193487.\nAnswer: 2193487.0368505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 234 = -17*l. Suppose -4 = 3*s + 5*b - 32, 4*s = -b + l. Suppose 6*g - 1248 = -s*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187556.\nAnswer: 2, 46889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22780, -45549, -68300, -91027, -113724, -136385, -159004, -181575?\n\"Answer: p**3 + 3*p**2 - 22785*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Let h(p) = -20*p**2 - 17*p. Let w(c) = -7*c**2 - 6*c. Let a(g) = -2*g + 3. Let b be a(-7). Let x(k) = b*w(k) - 6*h(k). Determine x(r(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from cohdseco.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -171837, -171835, -171833, -171831, -171829, -171827?\n\"Answer: 2*w - 171839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 579 + 85. What is the remainder when x is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 255250*w + 2041936.\nAnswer: (w + 8)*(w + 255242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21024 and 7884?\nAnswer: 63072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose 2*v + 2*s = 12, 0*v - 19 = v - l*s. Suppose -2*r - 2*r - 3*o + v = 0, -2*r - 5*o - 3 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*(h\/(h\/((((h*h*h\/(((h\/h**(3\/7))\/h)\/h))\/h)\/h*h)\/h*h)))\/h*h)\/(h\/h**(-29)))**(-2\/23))**41 assuming h is positive.\nAnswer: h**(14104\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 631*r**2 + 9*r - 11. Let t be k(5). Let m = t + -6608177\/418. Calculate the common denominator of m and 70\/9.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.219 and -0.01217.\nAnswer: 0.00266523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, 90, 444, 1128, 2250, 3918, 6240?\n\"Answer: 18*c**3 + 3*c**2 - 3*c - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2330 and 3262?\nAnswer: 16310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 10*n)*(0*n**2 + n**2 - 3*n**2)*(-5 - 1 - 1).\nAnswer: 98*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 4, -12425 in descending order.\nAnswer: 4, -3, -15, -12425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*1403\/4880*2\/(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 66*i - 46. Let d(p) = 44*p - 31. Let g(o) = 5*a(o) - 7*d(o). Let s be g(10). Suppose -3*q - 21 = -s. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2\/3777, 0.9, 14, 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**4 + 730*y + 3560 wrt y.\nAnswer: -4*y**3 + 730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*n = -218. Suppose p - n = 1203. Let t = p + -634. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.35*24\nAnswer: 56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955.5 less than -3?\nAnswer: -1958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.281 + 1.511. Sort -0.3, 0.2, x in increasing order.\nAnswer: -0.3, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.084 and -73.\nAnswer: -72.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -108712 divided by -107?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 28570.\nAnswer: 142850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -2.5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/n**(-2\/21))\/n)\/n)**(-2\/5)*(n*n*n**3*n)\/((n*n*n**(2\/21))\/n*n))**(2\/31) assuming n is positive.\nAnswer: n**(116\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 10*z = 12*z - 244. What is the remainder when 366 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 382*z**2 + 1584*z - 753366. Give m(383).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 2. Let c(q) = 3*q - 2. Let v be 0 - 2 - (0 + 2). Let f(b) = v*r(b) - 5*c(b). What are the prime factors of f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {k: 1, o: 2, g: 2, m: 5, v: 1, c: 5}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047441 - 1313?\nAnswer: 2046128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*q - 17097 + 387 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-824)\/1648*(-81)\/(-3)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35035.\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.11 (b) 3\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 4, w: 6}. Give prob of sequence ww.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = -3*l - 20, 4*l + 8 = -2*s. Sort -2, s, -1 in descending order.\nAnswer: -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 9*v - 87. What is f(8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5021343619.\nAnswer: 43, 116775433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*o + 5, 0 = -o - 2*o + 2*y - 12. Let z be (-152)\/(-80) + 3\/o. Which is the nearest to -1? (a) 0.2 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(1700)*-2 - sqrt(1700))*-3 - (5*(sqrt(1700) + 1 - sqrt(1700)) + -4))**2 + 4)*6.\nAnswer: -17280*sqrt(17) + 827760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32833?\nAnswer: 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2024? (a) -16\/5 (b) 1\/4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 402120 and 11473824?\nAnswer: 172107360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, w: 1}. Give prob of sequence vuw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*b + 2. Suppose 21 + 14 = b*y. Solve -5*a + y*w = -0*a, 0 = -w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*b = 42. Let h be 26\/b - 10\/6. Let d(x) = -x**2 - 9*x + 2. Calculate the lowest common multiple of d(h) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ussuosdsbo. What is prob of picking 1 o, 1 u, 1 s, and 1 d?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -53. Suppose -219*l + 267 = -222*l. Let w = m - l. Calculate the greatest common factor of w and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0 + 0*t**3 + 5\/2*t**4 + 11\/21*t**7 + 0*t**2 - 41*t + 0*t**6 - 3\/20*t**5. Find the third derivative of o(f) wrt f.\nAnswer: 1320*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 12*u**2 + u + 11. Let f be b(-12). Let w be (-11)\/9 - f - 0\/6. Is w greater than or equal to -2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.4 + 7. Let d = -109 + 108.9. Sort d, 3, l, 1 in increasing order.\nAnswer: l, d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 587100 and 30.\nAnswer: 587100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -51\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 39*j**2 + 5*j**3 + 0*j**3 - 6 + j - 49*j**2. Let x(a) = -4*a**3 + 9*a**2 - a + 5. Let i(w) = 3*r(w) + 4*x(w). What is the units digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4419125 + 0*f**3 - 3*f**3 + 4419125.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*h - 4*r, 2*r + 106 = 104. Let d(p) = p**3 - 4*p**2 - 193*p - 10. Give d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:08 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1042616 and 603988.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 75*p + 66*p - 140*p + 1. Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580573 is divided by 45?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(27\/(-9))*(-1265)\/460\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - -0.01. Let l = -16.1 - 0.9. Let u = l - -17.4. What is the nearest to m in -5, -3\/7, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 79. Suppose -t*q = -66*q - 60. Let p(a) = -a**3 - 15*a**2 - a - 12. Calculate p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -33850\/19061?\nAnswer: -33850\/19061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -8989.2314.\nAnswer: -8988.9314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let t(y) be the third derivative of 1\/24*y**4 + 0 + 0*y - 1\/2*y**3 - 28*y**2. Calculate s(t(v)).\nAnswer: v**2 - 6*v + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*s - 20 = 0, -j + 12*s - 13*s = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 8)\/(-1*2) - 1. Let g be r*(-4 + (-115)\/(-25)). Put 1\/4, g, -4 in descending order.\nAnswer: 1\/4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 4\/5 (c) 1\/6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1, -3, -534\/13, 1\/7, -3\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**6\/6 - 12*l**5\/5 - 208*l**3 + 266. Find the third derivative of i(q) wrt q.\nAnswer: 300*q**2 - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3528, 3522, 3516, 3510, 3504?\n\"Answer: -6*u + 3534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*b**2 + 202*b**2 + 0 + 0.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*b - 2*b + 61*b + 48*b - 9*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (274*h - 312*h - 183*h)*(5 + 1 - 2)*(-2 - 2 + 3) to g + q*h and give q.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 594313 + 2*i - 14*i - 594313. Let u(x) = 2*x - 6. Let k(b) = 2*b - 5. Let w(h) = -6*k(h) + 5*u(h). What is t(w(a))?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2)*8\/6. Let x(w) = -w**3 + 17*w**2 - 42*w + 2. Let m be x(14). Let y(b) = 1 - b**2 + a*b - 4 - 1 + m*b. What is y(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001212 + -1022?\nAnswer: -1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 12) + (10 - (-17 - -35))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 5*r + 4. Let y = 1 - -4. Let x be o(y). Solve l = x - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/4))**(-2\/49)\/(b**2\/b)**(-4\/27) assuming b is positive.\nAnswer: b**(29\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232612*t**4 + 3*t**3 + 2*t**2 - 195420269 with respect to t.\nAnswer: -930448*t**3 + 9*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/36)\/(2\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 26. Suppose 3*m + 4*x - 18 = 20, s*m + x = 27. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19114 by -6.\nAnswer: 9557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-152) - (-23)\/(-8). Is z\/(105\/(-14)) + (-93)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-9))\/3 + 2\/8. Let d = -1.1 - 1.2. What is the closest to -1 in s, 3\/2, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54) - sqrt(216)*6)\/(3*-3*sqrt(8)).\nAnswer: 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, -3, 2, 0, -20, -1.\nAnswer: -20, -3, -1, 0, 2, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 38?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-4142)\/(-6) + 2\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7605900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1934 divided by 4.\nAnswer: -967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2)*17\/(-3) + 9748\/(-14622)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 - f**4\/12 - f**3\/6 + f**2. Determine y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 3 + 0*p**2 - 9 - p - p**2. Let l be z(-5). What is the lowest common multiple of 14 and ((-60)\/l)\/((-3)\/(-8))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 277 + 131 + 105 + 41.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/5 - ((-99)\/(-70) + (-309)\/1442).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.02, 4\/7, 5\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - a**4 - 2*a + (4*a**3 - 4*a**3 - a**3)*(-5*a + 2*a + a) - 1274*a**4 + 244*a**4 + 3653*a**4 as d*a**2 + j*a + h*a**4 + m*a**3 + v and give h.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - p = 9, 0 = i - 3*p - 8 - 4. Suppose -q - i + 4 = 4*m, 0 = -4*m + 4. Sort 3, q, -4 in decreasing order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872933 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -93.3 and -11?\nAnswer: 82.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-59 - (-74 - -42)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -2, -20, -56, -116, -206?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 1108 - 518 = -1234 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(48))\/sqrt(12))\/(-6*sqrt(18)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 377109272*l**2 + 2*l - 236020519.\nAnswer: 754218544*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12892, 24965, 37076, 49243, 61484?\nAnswer: 73817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (158\/(-4))\/(4\/8). Suppose 0 = -4*r + 5*j + 681, 0*j = r - 2*j - 174. Let c = b + r. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-160)\/(-48))\/(-1 - 10\/(-6)). Suppose 3*r - 5 = -r - x, x - 7 = -a*r. Let c(w) = 8*w. What is c(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1740082734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 67334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -194, -4, 19\/6?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19035253 * -7\nAnswer: 133246771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8*y = 2*q + 414 - 418, -q - 12 = 2*y - 3*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 9, 5 in increasing order.\nAnswer: -3, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*v**4 + 1717*v**3 - 21686*v**2 + 25544*v - 5568 = 0. What is v?\nAnswer: 2\/7, 1, 12, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*q - 26, -2*q = -5*q - 9. Let a = -88 + 123. What is the greatest common factor of a and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 175*c + 175*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3\/7, -7, -1 in increasing order.\nAnswer: -9, -7, -1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddmcxdwxdx. Give prob of picking 1 c, 1 m, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - -1) + (-22 - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83397695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 547058*k**2\/3 + 92048*k\/3 + 3872\/3.\nAnswer: 2*(523*k + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/3)*g*g)**(-4))**(-24) assuming g is positive.\nAnswer: g**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6 (base 13) to base 3.\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5812 - -5939. What is the remainder when l is divided by 76?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z - 1. Let t(c) = 63*c**3 - 112*c**2 + 59*c - 10. Let j(v) = 2*t(v) - 2*x(v). Factor j(y).\nAnswer: 2*(4*y - 3)**2*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 23. Let c be 78\/1 + (3 - 1). Suppose z - 5*z = -c. Calculate the lowest common multiple of p(-7) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdxt when four letters picked without replacement from {d: 1, x: 2, t: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 4*g + 10, -3*d = -2*g - 2 - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1856*y**2 + 43*y + 18. Let l(c) = -3708*c**2 - 88*c - 38. Let h(v) = -3*l(v) - 7*o(v). Find the second derivative of h(x) wrt x.\nAnswer: -3736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 6. Suppose 2*r + 5 - l = 0. Let q(k) = -18*k. List the prime factors of q(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 9, w: 5, f: 3}. Give prob of sequence ymw.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29874*j + 29875*j = -11*n - 39, j + 10*n + 36 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 = 0, 5*l + 4*i - i = -40. Let f(p) = -4*p - 18. Let n be f(l). What is the third derivative of -27*o**3 - 2539 + 2539 - 31*o**n wrt o?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmwfwmfdmedz. What is prob of picking 1 e, 2 m, and 1 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 68 + 40. Let v = g - 37. Which is the biggest value? (a) 0.05 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144358879 a multiple of 2259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*w + 15785752 - 785752. What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/687 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 10. Suppose 157 = 3*i - r*q - 49, 2*i - 138 = 4*q. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-16)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.48317 + 0.430716. Round z to 4 decimal places.\nAnswer: -0.0525","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - -1*44\/8. Let f be (a\/(-5))\/(7\/280*-2). Calculate the highest common factor of 132 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1162172 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9916, 0, 4, 5, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 941 + 18*k + 957 + 82*k.\nAnswer: 115*k + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6700224960?\nAnswer: 2, 3, 5, 11, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.4 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -570 - -6315\/11. Find the common denominator of q and -16\/299.\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 983\/8 - 123. Let s be (3\/90)\/(1\/(-4)). Suppose -v = -0*r - r + 4, -v - 7 = -2*r. Put z, v, s in ascending order.\nAnswer: v, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**5 + 17*g - 46*g**5 + 22*g**5 wrt g?\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -21 - -10) + -23 - -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14172*y**2 - 2414*y**2 + 2651*y**2 in the form a*y**2 + i*y + n and give a.\nAnswer: -13935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 6, 3\/8, 2\/41, 1\/8?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 9*t + 2. Let b be (27\/(-12) - -3)*12. Let o be u(b). Let a be (-18)\/(-27) + 4\/3. Solve 0 = -o*q + 6 - a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -23*j + 788. Calculate k(37).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22203 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1206 + -723. List the prime factors of s.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.023 + 4.977. Let o = 9 - 6. Suppose -o*z = n - 19, -z = -5*n - 2*z + 25. What is the nearest to 2 in i, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, q: 7}. Give prob of picking 1 q and 1 r.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -966 + 969. Let p be ((-21)\/9 + u)*(3 - 6). Suppose -2*j - 2*j = -3*d - 56, -3*j = -3*d - 42. Put j, p, 4 in descending order.\nAnswer: j, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 8. What is the smallest common multiple of g(-6) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p. Let n(s) = 17*s. Let y(b) = -6*n(b) - 11*t(b). Calculate the remainder when y(-13) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**8\/50400 + p**7\/1575 - 2*p**6\/225 + 23*p**5\/15 + 85*p**2. Let n(b) be the third derivative of y(b). Solve n(z) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 186 = 4*t + 2*f, -5*t + 4*f = -237. Let c = 50 - t. Calculate the smallest common multiple of 3 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*z + 150 = 0. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.2996mm in meters?\nAnswer: 0.2662996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1017 - -1016.6. What is the nearest to -3 in 4\/5, 0.4, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3 + 21. Suppose 5*x = 2*x - z, -2*x - 25 = -3*p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86780234*p**4 + 2150*p**2 + 3523 wrt p.\nAnswer: -2082725616*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1988 divided by 497\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-15 - ((4 - (11 + -4)) + -8))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b5a39 + 11?\nAnswer: 4b5a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.131 or 1?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18000000 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.9 + 13366767?\nAnswer: 13367204.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832950125?\nAnswer: 5, 17, 1333153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27167010 is divided by 362.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.294572ng in tonnes?\nAnswer: 0.000000000000004294572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1820)\/8136 + (60\/27 - 2). Let n = -169\/339 + t. Which is the smallest value? (a) n (b) 0 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(33)*1)\/sqrt(3).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*b**2*p + 2848*b**2 - 6*b*p**2 + 2158*p**2 + 552 wrt p.\nAnswer: -36*b**2 - 12*b*p + 4316*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3459942213 to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(4\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2\/9*b**3 - 1\/6*b**2 - 1\/12*b**4 + 0*b + 2. Factor r(w).\nAnswer: -w*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 46. Let j = n + 34.1. Which is the third biggest value? (a) 4 (b) 0 (c) j (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -34, -47, -56, -61, -62, -59?\n\"Answer: 2*z**2 - 23*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 690*x**3 - 2*x**2 - 3*x + 3. Let t be v(3). Let n be t\/45*(-4)\/(-42). Let m = n - 198\/5. Which is smaller: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/51033 or 1?\nAnswer: -4\/51033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 1)*-1)**2 - ((sqrt(468) - (sqrt(468) + 5*sqrt(468)))**2 + -5).\nAnswer: -11369 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.9753341t?\nAnswer: 975334100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1412328 + 681981. Let v = r - -76347. Round v to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/36 and 47\/300.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*z**3 + 15*z**2 - 537*z**3 - 39*z**2.\nAnswer: z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -224500\/19? (a) -0.1 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 18*h**4 + 21*h**4 - 40*h**4 + h**3 + (h + 0*h - 2*h)*(5*h**3 - 3*h**3 + 0*h**3) + h**4 - 2 + 2.\nAnswer: -2*h**4 + h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + (-7)\/(490\/(-50)). Which is the nearest to 2\/7? (a) -1 (b) 4\/13 (c) t (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4735 + -4c?\nAnswer: 46c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - abf5?\nAnswer: -abf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 22*w - 68. Let f be b(18). Sort f, 1, -5, -1 in decreasing order.\nAnswer: f, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8170.934ml in litres?\nAnswer: 8.170934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 12*z + 1. Let n be f(-11). Suppose 0 = 6*t - 4*t - n. Let m be (1 - -23)*(-475000)\/t. What is m rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 + 11*g**3 - 11*g + 11*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d**3 + 5*d**2 + 2*d - 2. Let m(g) = -g - 14. Let t be m(-15). Let p be t\/2*(-18)\/3. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11. Suppose -3*y = -4*i - i - 6899992, 2*y + 2 = g. Let j be i\/(-2) - (-1)\/2. What is j rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 19*w**2 - 3*w**2)*(5*w - 2*w - 2*w - 2).\nAnswer: -17*w**3 + 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*n = -8 + 4, 3*n - 4 = -4*z. Let h = 73 + -69. What is the lowest common multiple of z and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005338 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13) - (-4 + 1*sqrt(13))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let a be ((-30)\/25)\/((-9)\/30). Let r be 25\/20 + 3\/a. Let t(c) = -2 + 2 - 151*c**r + 153*c**2. Give f(t(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 112?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from wssksskhwphw?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 4*u + 3. Let h(d) = -11*d**2 - 45. Let i(n) = -13*n**2 - 54. Let s(b) = -6*h(b) + 5*i(b). Give q(s(p)).\nAnswer: -3*p**4 + 4*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173? (a) 4.1237 (b) -4\/3 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-305)\/(-183))\/(975\/45)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*w = 44, -18*a + 15*a - w = -40. Let i(b) = b**3 - 15*b**2 + 24*b + 32. Calculate the remainder when 12 is divided by i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 418.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 14*o + o - 15*o.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 25*f - 9. Let p be q(8). Let k(r) = -r**2 - r + 1. Let u(d) = -2*d**3 - 6*d**2 - 6*d + 15. Determine p*u(a) + 6*k(a).\nAnswer: 2*a**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - 45 - 9 - 52.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4068*s - 32555. What is c(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 7*j**2 - 18*j - 1. Give m(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*k + 1. Let n be (k\/12)\/((-2)\/8). Solve -2*z + 21 = 2*o + z, n*o + 3*z - 30 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.162 plus 4?\nAnswer: 4.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/4 - 38*q - 1. Let b(p) = 471*p**2. Determine b(i(k)).\nAnswer: 4239*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.3, -5, 3\/2, -0.13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 20. Suppose i = -4*b - 4*i + h, 4*i - 20 = -2*b. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**3 - 90*i**2 + 5*i**3 - 66 - i**3 + i**3 + 65 to the form a + l*i**3 + t*i + p*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 - 3 = 0. Let d = -7 + 7.1. Let z = -3.01 + 0.01. What is the closest to d in -1\/8, z, v?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*j + b + 324, 3*b = 2*j - 156. Suppose -3 = -3*k + 5*o + j, 4*k - 108 = 4*o. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Let j(i) be the third derivative of -i**2 + 0*i + 1\/6*i**3 + 0*i**5 + 0 - 1\/60*i**6 + q*i**4. What is the derivative of j(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - 1\/(-1)) + 12. Suppose 3*h = 3*q - 3, -3*q - 5 = -g*h - 2. Solve -3 = 3*d - 5*o, 5*o + h = 3*d - 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3603689 + -6558\nAnswer: 3597131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1211255031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j, 23 = 5*k + 3*j + j. Let x be 1*-4*k - -3. What is the least common multiple of 8 and ((-30)\/x)\/5*15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23652046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1938855 or 1938858?\nAnswer: 1938855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - 1. Let y be g(-4). Let d(u) = -132*u**3 - u - 1. Let v be d(y). Calculate the greatest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/75, -0.2, -1 in descending order.\nAnswer: -1\/75, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Suppose -m + 1 + 1 = 0. Let w(j) = j. Let n(h) = m*a(h) + w(h). Let g(x) = -x. What is g(n(i))?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + (-41 - (-46 + 52)) - (-2 - 1)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1794460 (base 11) to base 4\nAnswer: 23211112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22947575 to the power of 1\/2, to the nearest integer?\nAnswer: 4790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3587681666?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**3 + 47*a**2 + 3132*a - 1260 = 0.\nAnswer: -21, 2\/5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -3*g**5\/20 - 2*g**3\/3 + 5*g**2\/2 - 10*g. Let i(d) = -2*d**3 - 2*d + 3. Determine -5*i(h) + 3*j(h).\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 494 = -2*n. Solve 0 = -r + 26 - n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 + -4.65051\nAnswer: -108.65051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - ((-50)\/30)\/(-5). Suppose 4*g - 11*g + 4816 = k. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 433886 and 8968.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, 5, 21.6082?\nAnswer: 21.6082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 2*a + 73 - 142.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(102) + sqrt(102)*-1)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3779, 3757, 3721, 3665, 3583?\n\"Answer: -r**3 - r**2 - 12*r + 3793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 1. Let x be v(1). Suppose -2*w = x*w - 396. Suppose m = 4*m - w. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 6*a - 4*z - 10, 0 = a - 5*z - 10. Let s be (32\/(-20))\/((-4)\/a). Is 37\/4*3*s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867635.\nAnswer: 5, 19, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (110\/(-8))\/5*-12. Suppose 0 = 4*y - m - 23. Does 13 divide ((-236)\/10)\/(y\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -689 * 526.\nAnswer: -362414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462923?\nAnswer: 31, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -13. Suppose c + l = 2*c. Let m = c - 5. What is the lowest common multiple of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022704 rounded to the nearest 1000?\nAnswer: -1023000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9935233 or -9935232?\nAnswer: -9935233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.34? (a) -2\/37 (b) 3\/2 (c) 0.036 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4\/5 + 428*d**3\/5 - 12611*d**2\/5 + 121648*d\/5 - 76224 = 0.\nAnswer: 8, 15, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/2 + 35*w**2\/6 + 376*w + 374\/3 = 0.\nAnswer: -22, -1\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0*-45.62\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133.54 - 133.56. What is the biggest value in 2, z, -38.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 9*d**2 - 26*d + 507. Is u(11) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -525958, -526024, -526090?\n\"Answer: -66*u - 525892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)\/(((t*t**(-1\/9)*t)\/t)\/t))**(-2\/25) assuming t is positive.\nAnswer: t**(232\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25347 + -25332.88. Which is the third biggest value? (a) 1\/4 (b) -6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31959 - 32423 = -16*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3263\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 497*b - 5069. Determine i(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8393 - -9544. List the prime factors of t.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 + 3*k - 5. Suppose 3*m = -4*f - 13, 3*m = 5*f - 0*m + 23. List the prime factors of x(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 14 in decreasing order.\nAnswer: 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -212122101 (base 3) in base 6?\nAnswer: -211444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 103*t - 9 = -3*j, 2*t = -7*j - 18 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h**2 + 11*h - 33. Give p(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-6 - -1) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (1 + (-205)\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:47 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(128) + sqrt(128))*-2)**2 + 1.\nAnswer: -128*sqrt(2) + 2055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7841855900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -26*s + 21*s - i, 0 = 3*s - i - 155. What is the highest common factor of s and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -70. Suppose 44 = 12*z - 40. Calculate the least common multiple of z and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*j - 635*j + 4*t - 8 = 642*j, -14*t = -29*j - 116 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**2 - 1. Let d be (9\/3)\/((-6)\/(-4)). Let z(a) = -d*a**2 - 1 + 1. Determine g(z(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4835186 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032 take away -26548583892?\nAnswer: 26548583892.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110 is divided by 367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*j. Put -1, -0.6, j in ascending order.\nAnswer: -1, -0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 13*t**2 - 9*t**2 + 14*t**2 to the form f*t + n + a*t**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46028, 46029, 46032, 46037, 46044, 46053, 46064?\nAnswer: 46077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6)**(-19)\/(k**(-3\/17)\/k**(11\/3)) assuming k is positive.\nAnswer: k**(-5618\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 23 = -8. Suppose -w*v + 33 = -3*t, t = -v - 0*v + 7. Let h = v + 2. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6394*t - 31946. Determine y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 7*u + 5. What is c(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 13*r**2 - 25*r. Let q(x) = x**3 - x**2 - x + 2. Let u(z) = -b(z) - q(z). Find the second derivative of u(k) wrt k.\nAnswer: -12*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2 - 47) + 3. Let r = 10 - u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 3*c**5\/10 + c**4\/24 + c**3\/3 - 5*c**2 - 3. Let r be w(-1). Sort r, 5, -3 in decreasing order.\nAnswer: r, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 7443912?\nAnswer: 22331736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*d + 116*d = 450 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 8. Determine v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322 - -327. What is the second smallest value in j, 26, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - -1*sqrt(75))\/sqrt(5))\/(sqrt(605) - (1*sqrt(605) - sqrt(605))).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 2*r**2 + r + 5*r**4 + 2*r - 23599 + 23596 as z*r**2 + l*r**4 + i*r**3 + d + o*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3 + q**2\/2 - 6*q - 92. Give v(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 1:52 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6107351, -6107304, -6107225, -6107114, -6106971?\nAnswer: -6106796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-1 - (2 + 1)). Suppose t = -11*y - 16 + 1787. Calculate the remainder when y is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3882 - -1642. Let m be (-2968)\/z - 12\/10. Determine o, given that -m*o**2 + 0*o + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 35*q**2 + 140*q - 27. Let w be h(-11). Calculate the highest common divisor of 23 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = -40. Let h(w) = -11*w**2 - w. Let v(a) = 4*a**2. Let o(i) = b*v(i) + 3*h(i). Find the second derivative of o(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 126609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (102\/(-357))\/((-280)\/441 - 4\/18). Let i(m) be the first derivative of -5\/2*m**2 - m + 1 + n*m**3. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1034 + -421?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 q when three letters picked without replacement from qfmpwpq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/7 (c) 1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {c: 5, h: 5, y: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*(275\/40)\/(-11)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906836844 a multiple of 1734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261 - -483. What are the prime factors of x?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 3*n - 15, y = -n + 7. Find the common denominator of 64\/9 and (-502)\/(-48) - (-6)\/y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**3 + 0*x**2 + 0 + 1\/10*x**5 + 3*x - 1\/3*x**4. Find the third derivative of g(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-42) + (-4 - -2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.8 - -43. What is the closest to w in 2\/11, -3\/4, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9632 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2444)\/(-39)*((-2461)\/(-92) + -26).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/60 - q**3\/6 - 21*q. Suppose m(j) = 0. What is j?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.08 + 0.08. Let y be ((-8)\/2)\/((-276)\/207). Put y, l, -11 in decreasing order.\nAnswer: y, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 16*y - 3. Let o be x(9). Let z = -63 - o. Suppose -3*i - 15 = -6*i, -10 = z*d - 2*i. Solve -2*u = 2*r - 2, -r + d*u = 4*u - 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91352 and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3295, 6589, 9883, 13177, 16471, 19765?\nAnswer: 23059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1192726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99) - -6*(sqrt(99) - 3*sqrt(99))))) + sqrt(99) + sqrt(99) + (sqrt(99) - -3*sqrt(99)*6))\/(5*sqrt(144)*2*6).\nAnswer: 11*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3123 + 3651 - 4231 - 22666 - 2144 - 10749)*(2*o + 2*o - 6*o).\nAnswer: 78524*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241562?\nAnswer: 2, 269, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**2 + 0 - 2\/15*b**6 + 2*b + 1\/3*b**4 - 1\/20*b**5 + 1\/6*b**3. Suppose c(s) = 0. Calculate s.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -1, 2326, -3, -4 in decreasing order.\nAnswer: 2326, 4, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/25 (b) -1 (c) 173 (d) -2 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -869984*f**2*t**3 - 30*f**2*t*z + 69*f*z - 1216*f + 46*t**3*z - 4*z wrt f?\nAnswer: -1739968*t**3 - 60*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2293952581 to the nearest integer?\nAnswer: 47895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 5*q**4\/12 + q**3\/3 - 2*q**2. Let k be (2\/(-3))\/((-1)\/3). Is c(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1958880308161 and 5.\nAnswer: -1958880308156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75786840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516292 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*q + 219 = -58*q + 3539 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**8*s))\/s)**(-21)\/(s**19\/s**(2\/3)))**(-3\/4) assuming s is positive.\nAnswer: s**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8844399 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24225\/(-3900) - (0 - 49\/28)) + 1*6?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 1. Suppose q = -2*s + 46. Calculate the remainder when 66 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j + 21. Suppose 0 = 2*c + 5*v + 11, 3*c - 4 = -5*v - 23. Determine q(c).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32852 + -197111\/6. Let m(b) be the second derivative of 0 - 9*b**2 - 16*b - n*b**3. Determine m(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(272) + -3)*6)**2.\nAnswer: -21600*sqrt(17) + 252900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2160*o = -5777*o + 2253*o - 6016*o + 583020 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 at least -3796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(3\/5))\/(x*(x*x**(-10)*x)\/x)*(x**(2\/3))**(11\/4))**17 assuming x is positive.\nAnswer: x**(5729\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*c + 14. Let b = -2 - -10. Suppose 3*x - b = 7. Solve 20 = c*v + 5*o + 1, x*o = -v + 23 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/((-120)\/16))\/(8\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4778942 or 4778971?\nAnswer: 4778942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.909 and -8430947.\nAnswer: -8430943.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774400156 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53095?\nAnswer: 5, 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - -13. Suppose 111 = 2*i - 5*i. Let z = 53 + i. Calculate the greatest common divisor of z and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose -a*v = -33 - 57. What is the greatest common divisor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 14*p**2 + 7*p + 136. What is s(-7)?\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, 14\/25, 12, 3 in decreasing order.\nAnswer: 12, 3, 2, 14\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 - -238. Calculate the greatest common divisor of d and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4312 divided by -616\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -4*t**4\/3 - 5*t**3 - 15*t**2 - 7*t. Let m(s) = -3*s**2 - 6*s - 6. Let q(w) = 2*k(w) - 11*m(w). Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431 (base 11) in base 6?\nAnswer: -22420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3747224 less than -3747225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 29. Suppose 2*j = -o*j + 8. What is the tens digit of 1*(28 - 4\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1101?\nAnswer: -2\/1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + 3.78. Sort -0.3, -3, 0.6, l in increasing order.\nAnswer: -3, -0.3, 0.6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2. Let n(j) = 2. Calculate 6*n(b) + 5*q(b).\nAnswer: 5*b + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 74 - 5*m + 3 + 12*m - 4*m.\nAnswer: 3*m + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54022 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 - 2*q**2 + 371*q. Let m(y) = 2258*y**2. Determine m(f(b)).\nAnswer: 9032*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**3 - 2*u + 2. Let j be l(1). Calculate the highest common factor of j and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22442240 (base 5) in base 8?\nAnswer: -614104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 50 = -4*h, 63*u = 5*h + 64*u + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -11*q**4\/24 - q**3\/2 + 158*q**2. Let c(v) = 5*v + 1. What is 5*c(b) + 2*p(b)?\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 - 3)*(-3*f + 3*f - f) + f - 2*f + 3*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-2\/85)*(c\/c**1)**27 assuming c is positive.\nAnswer: c**(-2\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**4)**44)**(-35\/3))**(-9\/2) assuming m is positive.\nAnswer: m**9240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5393550, -5393559, -5393582, -5393625, -5393694?\n\"Answer: -y**3 - y**2 + y - 5393549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-101 + 4)*-5 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**3\/3 - 16. Let p(w) be the first derivative of -w**3\/3 - 1. Give h(p(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssssssbsssbsssss.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148.84 - -148.44. Which is the closest to f? (a) 1\/3 (b) 283 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*c + 2*c. Let j(b) = -3*b**3 - 2*b**2 + b. Calculate the least common multiple of c and j(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9141809657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, i: 2, u: 3, z: 1, m: 1, k: 1}. What is prob of sequence bubb?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 + 11*i + 12. Let h be d(-11). Let r be 6\/(-2) + (363 - 4). Let v = -354 + r. Solve 2*o - h = -v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 3*a - 6. Let s be y(4). Suppose -o = -s + 40. What is the units digit of (-2)\/(-7) + 2670\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111241 (base 7) to base 15\nAnswer: -5c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -130*s**4 + 3*s**3 - 2*s**2 - 251*s - 82974837 wrt s.\nAnswer: -520*s**3 + 9*s**2 - 4*s - 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 9:42 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**9\/37800 + v**7\/6300 - 2*v**4\/3 - 7*v. Let z(s) be the third derivative of m(s). Find n such that z(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k - 147. Let d(m) = m**3 - 5*m**2 - 18*m + 21. Let n be d(7). Let q be j(n). Solve 13*c - 11*c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28\/151 - 9089\/49830. Let h(u) be the third derivative of 0*u**4 + 1\/1155*u**7 + 0*u**5 + 10*u**2 + 0 + 0*u**3 + f*u**6 + 0*u. Factor h(x).\nAnswer: 2*x**3*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/14)\/(492\/1722)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355064733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 + 6*z + 7. Suppose -25 = -165*u + 170*u. Give k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbtt when four letters picked without replacement from ttbttjbtbtbjjjb.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/42)\/8 - (-80)\/1008.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -136268?\nAnswer: -1\/68134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 304.\nAnswer: 32832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-42)*-10)\/((-18960)\/22752)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/((-7)\/(112\/12)) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146689.579 to the nearest 10.\nAnswer: -146690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/13 - -7\/26. Let k = 2.96 - 2.66. What is the second biggest value in -7, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - 13*d - 28. Let z be y(-2). Suppose -z*o + 2 - 52 = 0. Put o, -6, 0 in decreasing order.\nAnswer: 0, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, r: 4}. What is prob of picking 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j - 57. Let g = 40 + -33. Let p be u(g). Sort p, 5, 0.032, -0.4 in decreasing order.\nAnswer: 5, 0.032, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 12 - (-853 + 925).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -85.357.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20529465029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.9. Let w = n - -1.4. Which is the third biggest value? (a) w (b) 3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148532327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*p**2*t + 2747*i*p*q**3*t + 5*p**2*q**2 - 4*p**2*q*t - 43*p*q**2*t + 2*q**3*t + q**2*t wrt i.\nAnswer: 2*p**2*t + 2747*p*q**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2467 - 2463. Let s = 19 - 23. What is the third biggest value in s, p, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110100010101111001101 (base 2) to base 8.\nAnswer: 16425715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1548785923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17307, 17295, 17275, 17247, 17211, 17167?\n\"Answer: -4*t**2 + 17311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -28. Suppose 5*g = 2*q - z - 6, -4*q - 12 = 4*g. Solve 0 = -l + 2 - q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 4*m - 60. Let p be 82\/126 - m\/(-28). What is h in p*h**3 - 2\/9*h**2 - 2\/9*h + 2\/9 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s - 419. Calculate h(-13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -80. What is the remainder when 59 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-12)*(-1)\/(-4))\/((-664)\/12450)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1361 + 1226 = 9*j. Let k be ((-38)\/(-475))\/((-6)\/j). Which is the nearest to -127? (a) 3 (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29402896 and 140?\nAnswer: 1029101360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -309132*-0.06\nAnswer: 18547.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*q + 66*q - 3295*q**2 + 6580*q**2 - 3285*q**2 + 3*q**3 in the form f*q**2 + t*q + d*q**3 + u and give t.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110360007743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 2*c)*((4 + 0 - 3)*(-2 - 3 + 3) + (2 + 4 - 1)*(0 - 4 + 2)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i - 56. Let s be z(6). Suppose 0 = -4*t + s*w + 44, -59 = -4*t + 2*w - w. Solve -o = 3*c + 6, 0 = 4*o + c - 3 + t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17804 is divided by (-156)\/(-10)*280\/168?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - f**2 - 4*f + 32. Let t be s(6). Let w = -239 - t. Calculate the remainder when 12 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 2*r. Let n be (r - -119)\/(3\/(-2500)). Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117764376 is divided by 117764369.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1156, -4622, -10398, -18484, -28880?\nAnswer: -41586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3209, 5, -9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 25\/399?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 11}. Give prob of sequence gk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + r + 0*r)*(337 + 44*r**2 - 337).\nAnswer: 308*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*f - 444*f + 268*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 9. What is the least common multiple of t(3) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Let j(n) = n**3 - 5*n**2 + 3*n + 4. Let w(s) = s - 10. Let u be w(14). Let p be j(u). Sort x, 1, p in descending order.\nAnswer: 1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6000625 is divided by 427.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -234\/137, -49?\nAnswer: -234\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31958 + 11774. Let o be ((-1)\/(-3))\/((-8)\/p). Suppose 5*y - o = 2*u + 71, 4*u = -2*y + 360. What are the prime factors of y?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from mlxxiixxim.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2\/3, -1, 521, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001540957 to five decimal places.\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 - 2*z**2 - 2*z - 3. Let y(h) = -6*h**3 + 2*h**2 + 2*h + 4. Let n(a) = a + 5. Let l be n(-9). Let f(v) = l*s(v) - 3*y(v). Determine f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104673 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43647471, -87294972, -130942485, -174590016, -218237571, -261885156, -305532777, -349180440?\nAnswer: -392828151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285024 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 14*p. Suppose 2*q - 34 = -d, p = q - 4*q - 5*d + 51. Suppose 2*w - q = 3. Calculate the remainder when 39 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*t - 745*t**2 - 486*t - 537*t**2 + 1007*t.\nAnswer: -1282*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/3)\/n))**(-24))**(-13\/7)*((n\/(n*n*n\/((n\/(n**(-1\/4)*n))\/n))*n)\/(n\/n**(-2\/5)))\/((n\/n**(2\/3))\/n**(-1\/8)) assuming n is positive.\nAnswer: n**(96809\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**4 + 8*z**2 - 3*z + 3. Let g(m) = -m**2 + m - 1. Let u(i) = 6*g(i) + 2*t(i). Find the third derivative of u(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 239.\nAnswer: 16\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r - 7*r - 4*r to the form o*r + d and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13863804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 2434700 rounded to the nearest 10000?\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1, -37, 20 in descending order.\nAnswer: 20, 4, 1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*o**2*y**3 - o**2 + 22*o*y**2 + o - y**3 wrt y.\nAnswer: 510*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1436, -1333, -1188, -1001, -772, -501?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 8) to base 7.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 4*r + 5*r**2 + 5 + 7*r**3 + 0*r. Let l be 2\/(-8) - 66\/(-8). Let t(q) = 3*q + 0*q - 6 - l*q**3 - 5*q - 6*q**2. Calculate 5*t(w) + 6*z(w).\nAnswer: 2*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 2\/9 (c) -13 (d) -16\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36104 and 455813?\nAnswer: 3646504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a + 1. Let q(y) = -y**3 - 9*y**2 - 6*y - 2. Let o(i) = 2*b(i) - q(i). Determine o(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 23. What is the closest to -3 in 3, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3147 (b) 5 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r*y**5 - 9*r*y**3 + 742*r*y**2 + 2*r*y + 2*y**5 + 3 wrt y.\nAnswer: -60*r*y**2 - 54*r + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 6*x - 6. Let w be p(5). Let k be 1*(0 + 1)\/w. Let g be k\/((-2)\/(-4)) + 8. Which is the biggest value? (a) -1 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 10. Let l be o(9). Let n = -4 - l. Suppose 7*c = 24 + n. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 4. Determine f(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(112) - (sqrt(7) + (sqrt(28))**2 + 0)) + 4.\nAnswer: -25*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 148*q + 289. Let f be i(2). Let o(y) = y**2 + 5*y + 6. Let b be o(-5). Let m be 1\/(5*b\/4). Which is bigger: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 2*b - 1703. Let s be (1\/(-1) - (-2)\/3)\/((-160)\/29760). Suppose s*l = 66*l - b. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4228 + 633*j**2 + 4228 - 32*j**3.\nAnswer: -32*j**3 + 633*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, x: 1, l: 2, r: 1}. Give prob of picking 1 x and 2 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10859 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 18 - -70 - 38\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1121102?\nAnswer: -1121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13689 is divided by 521?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(319\/132))\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 7:06 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 76. Let o be g(-25). What is the hundreds digit of o\/(-4) - (-4 + 6615\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226*327\nAnswer: 73902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/12*((-1173)\/46 - -21)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s*s*s\/(s\/(s*s**(-2\/7))))\/((s**(-1\/2)\/s)\/s**(-2\/17)) assuming s is positive.\nAnswer: s**(-1643\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 10:00 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 78, 175, 312?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*r - 635*r + 228*r - 1290*r**2 + 211*r + 1292*r**2.\nAnswer: 2*r**2 + 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 13767*m - 21698459. Calculate i(1428).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = 10*q. Suppose -2*b = -q*s + 144 + 195, -452 = -4*s - 4*b. List the prime factors of s.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h**3 - 88*h**3 + 23*h**3 + 14*h**3 + 23*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 35220 = -5*z, 309*z + 4*s = 307*z + 14078. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 bigger than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = -17. Let m be 34 - (-1 + 0\/(4 + y)). Solve 5*r - m = -6*k + k, 0 = 2*r - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srpsrpsss. Give prob of picking 1 p and 2 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i + 165. Let s be c(29). Is (-3)\/(s\/16407 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187948357 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 747 + b**3 + 2*b**2 - 8425*b + 0*b**3 + 8424*b - 3*b**3 as i*b**2 + n*b + l*b**3 + r and give r.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 12*g - 5*d - 10 = 0, g - 3*d = 12. Let x(z) = 4 - z**3 + 0*z - z - z - 5*z**2. Determine x(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.36 + 0.3. Let t = 38.23 - 38. Let g = t + b. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 1. Let j(f) = 5*f + 9. Let z(v) = -14*b(v) + 2*j(v). Let g be z(4). Is 14 a factor of 4\/g - (-85)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(36))\/sqrt(6) - sqrt(12)\/sqrt(2)*1)\/(sqrt(200)*-3 + sqrt(2) + sqrt(24)\/(sqrt(12)*-3)).\nAnswer: 3*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*a + 201*a - 202*a.\nAnswer: -169*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/(-2))\/(2\/600) a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2, 3*d + 4*s - s - 15 = 0. Suppose 0 = -m + 1, -2*k + 44 = 3*m - 39. Let a = k + -38. What is the remainder when d is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2\/2 + 8*o - 9. Let u be m(-6). What is the third derivative of 7*q**3 - 7*q**3 - 8*q**6 - 2*q**u wrt q?\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -380*j**2. Let x(r) = r. Calculate x(b(h)).\nAnswer: -380*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-0.123.\nAnswer: 1.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 81.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2533245, 2533247, 2533249, 2533251, 2533253?\n\"Answer: 2*t + 2533243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -2 - (-27 + 15 - -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110102 - 11635?\nAnswer: -122040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 960*b**2 - 10*b - 3. What are the prime factors of u(3)?\nAnswer: 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {p: 2, m: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11001010001001 (base 2) to base 5\nAnswer: -403222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + k - 13. Let n be o(2). Let a = 0 - -17. Is n at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8475 equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-6 + -4 + 18 - (22 + -16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Let o = 2 - h. Let t = -0.2 + -0.1. What is the smallest value in t, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -185\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 f when three letters picked without replacement from {j: 2, u: 1, n: 1, s: 10, f: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -4 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4702419*c**2 + 2041070*c wrt c?\nAnswer: 9404838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 721\/(-147) - (-24)\/(-252).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1 + -3 - 174\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*z + 26, 2*z - 8 = 4*z. Suppose -c*s = -s + 62. Let p = s - -7. Is p <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59626, -119183, -178710, -238189, -297602, -356931, -416158, -475265?\nAnswer: -534234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 11285 = -3*f, f - 4*u + 7542 = 3*f. List the prime factors of f.\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/230)\/((-6)\/(420\/14))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560798 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 254*u - 53 = -256*u, 11*u - 3018 = 51*m + 14*u for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 8*y**2 - 6*y - 10. Let z be q(-7). Are -1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 3 = 4*g - 19*a, a + 3 = -4*g. Suppose -7 = 3*y - 22. Solve -y*q = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(b\/((b**(7\/4)*b)\/b*b))\/b*b*b*b*(b\/(b\/(b**(-1\/58)\/b)))\/b*b assuming b is positive.\nAnswer: b**(143\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191876 is divided by 130.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*h - 7505 + 324 = -20 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Suppose 5*m - 4*p - 550 = 192, -k*p = -4*m + 590. Let u = m - 85. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-2 + 4168\/6). Let g = -704 - d. Find the common denominator of 23\/11 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -65. Solve -w = -s + 4, -5*s - h = -w - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-12)*18\/(-15). Suppose l = 4*m - 18, -5*m + f*l - 10 = -27. What is the remainder when 9 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-5 - -1) - (1260 - 1290)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-10)*(8740\/(-114) + 80)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4160?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 435 - 410. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - 1 - 2 - 2. Solve 5*k - p*l + 2*l = 20, -22 = -4*k + 2*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h + h. Suppose 38 = 3*f - 2*t + 8, 10 = f + h*t. Solve f = 5*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-9) - (-1 + 2). Let n = -5 + 4. Let i = n - -6. What is the closest to p in -2\/9, 2, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49438 and 64.\nAnswer: 1582016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 1508.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50371 is divided by 1399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -78, -1\/3, 2, 0, -0.1?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5 = -x, -26 = 5*j + 2*x - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14715838\/11 not equal to -1337804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 58*u - 216 - 253 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -33*j + 3. Give b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(5\/3)*j)\/j*j)\/j*(j\/(j*(j*j**(-3))\/j))\/j)\/(j*(j*j*j*j\/j**(-1\/4))\/j*j**(-1\/2))*(j*j**(-1\/4)*j*j**2)**(-2) assuming j is positive.\nAnswer: j**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34159711.\nAnswer: 4793, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssseesssexsjeeyx. What is prob of sequence ey?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, c: 2}. Give prob of sequence mc.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -31585.\nAnswer: -2\/31585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18090 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:55 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1771 and 11648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/350*-7)\/((-6)\/20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 - 48*n**2\/7 - 165*n\/7 - 114\/7.\nAnswer: 3*(n - 19)*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445792 and 36.\nAnswer: 4012128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d + 2. Let n(m) = 6*m**2 + 3*m - 18. Let p(k) = 7*k**2 + 4*k - 24. Let c(g) = -4*n(g) + 3*p(g). Determine q(c(l)).\nAnswer: 60*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 39618.\nAnswer: 39618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -46. Let l(q) = q + 3. Let d(x) = x + 4. Give f*d(k) - 3*l(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 737934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from {y: 2, j: 2, l: 6, b: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (0 + (-6 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -22, 2\/3.\nAnswer: -22, -0.2, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3. Let i(g) = 5*g - 2. Is i(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3)**11 assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86703 + 86708. Suppose -3*q - 66 = -3*o, -86 = -4*o - o - 3*q. Solve 18*i = o*i + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4*1 - (-3 - (-5093)\/638) and 1\/5 + 0 - 48\/(-30).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/24 - -5\/6. Which is the closest to 0? (a) d (b) 20 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-388240)\/(-104) + (-408)\/(-442) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13210391602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15*15*(-1)\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10515 and 70.\nAnswer: 147210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 16. Let d = t - 5. Solve -d*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*n**3*w - 335*j*n + 27*j*w + 2*n**3 + 8*w wrt n.\nAnswer: -6*j*n**2*w - 335*j + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 504*p**2 + 8612*p + 301. What is l(-17)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/7, 11, -2\/13, -1, 2\/5, -61, 5\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1746451 and 60725?\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -39, -2\/973, 380?\nAnswer: -2\/973","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-1260)*12)\/(1\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11767 * -37\nAnswer: -435379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2145025121 + -3?\nAnswer: 2145025114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1*-14)\/(40\/(-3)*(-1158)\/(-1544))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3038 - 3038 - 23*r**2 + (4*r - 4*r - r)*(-11*r - 35*r - 78*r) in the form s + g*r + m*r**2 and give m.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1440 and 43728?\nAnswer: 1311840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g**3 + 3*g - 12*g**2 - 3*g**3 + 2*g**3 - 6 - 4*g. Let o be p(-12). Suppose 0 = h - o*h + 410. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 743*v**2 + 67117*v - 314. Determine b(155).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 10\/(-4)*2. Let u(t) be the first derivative of t**3\/3 + t**2\/2 - 3*t - 2. Give u(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32445 divided by 10815.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 + 5*g + 9. Let v be z(8). Which is smaller: -13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 227.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 + 13*d + 32. What are the prime factors of s(-33)?\nAnswer: 2, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**7*t)\/t)*t*t*t**2)**(-3) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -2*l**3\/3 - l**2 + 48*l - 1. Suppose -3*n = 4*d - 3 + 12, -n = -d + 3. Is 16 a factor of i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182 + 184. Let t(x) = 26*x - 10 - m - 29*x - 19 - 5. What is t(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/6 + 9*j**2\/2 - 8*j. Let l be m(-5). What is the first derivative of -4 + s**l + 3 + 0*s**4 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**2 - 21*h + 541. Determine i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -77*k + 82*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/11 + 2\/(-44)*-8606 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l. Let w be -2*3\/(-9) + 148\/111. Let p(g) be the first derivative of -8 + 0*g - 3\/2*g**w. Give p(z(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 16*g**2 - 39*g + 58. Let y be s(18). Let q(i) be the third derivative of 0*i + 0 - 1\/60*i**5 + 2*i**2 + 1\/8*i**4 + 5\/6*i**3. Calculate q(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*c**3*o**3 + 2*c**3 + 83030*c*o**3 - 10*o**3 - 4515349*o**2 wrt o?\nAnswer: -72*c**3 + 498180*c - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**2 - 1. Let n(i) = -519 + 519 + i - 26*i. Determine n(r(y)).\nAnswer: -300*y**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4440, 8859, 13292, 17745, 22224, 26735, 31284?\n\"Answer: s**3 + s**2 + 4409*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247 and 39?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 - 111 + 322 - 3610*x - 103)*(-4*x**4 + x**4 + 6*x**4).\nAnswer: -10830*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 3)\/(0 - 1). Let q be (-1 + (0 - v))*-4. Suppose 16*d + d**2 - 13*d**3 + d**2 - q + 4*d**4 + d**2 = 0. What is d?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2036 - 2036.9. What is the biggest value in j, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.75 and 15120.\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 - 1 - -2. Let x = c + 2. Solve -2*y + 0 - x = d, y = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15708026573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 38*m**4\/15 + 8*m**3 + 44*m**2\/5 + 56*m\/15 + 2\/5 = 0?\nAnswer: -1, -3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -133492758, -133492754, -133492750, -133492746, -133492742?\n\"Answer: 4*h - 133492762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(3\/5334) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, 4, 34, 90, 178, 304, 474, 694?\n\"Answer: v**3 + 4*v**2 - 9*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -2, 176, -28\/5?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -331*f - 1331. Determine l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((750\/(-20))\/15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13cc34 + -4b8?\nAnswer: -13d1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9542 and -0.1?\nAnswer: -954.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:12 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*f + 36, 5*u + 19*f - 46 = 17*f. Suppose -3*y = j - 5*y - 7, 5*y = 3*j - 19. Solve j*r - u = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.8 in -0.2, -3\/4, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -801740, -1603488, -2405242, -3207002, -4008768, -4810540?\n\"Answer: -3*f**2 - 801739*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 + 11. Let q = -2 - 7. Let x = f + q. Solve -j - 1 + x = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*k**2*l**2 - 34*k**2*l + 147*k*l**2 - 28*l**2 wrt k?\nAnswer: 200*l**2 - 68*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103\/5, 0, -0.2 in descending order.\nAnswer: 103\/5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 11 = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5580035*s**2. Let j(x) = -4*x. What is j(r(p))?\nAnswer: 22320140*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5993016 and 1\/1206.\nAnswer: 17979048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 330831.3 to the nearest 1000.\nAnswer: 331000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + w**2 + 4*w - 213. What is r(0)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316339 is divided by 2969.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.93 - 2.73. Let z be 2\/4 + (-1)\/3. What is the smallest value in l, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 1098624?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -c - 9, 2*x + x + 2*c = 0. Suppose -2*d = -x + 6, 3*b = -d + 10. Solve 0*v = -b*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 947 - 742. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8))**(-36))**(-13\/2) assuming s is positive.\nAnswer: s**(-1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 57?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11720 less than -2?\nAnswer: 11718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 4*z + 58. Let v be ((-11686)\/5 - 2) + (-64)\/z. Is v\/(-8) - 4\/(-24)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-33))\/(180\/1188*3)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 359637081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1291*m**4*r - 242*m**4 - 29*m**3*r**2 - 124129*m**2*r**2 + 11*m**2*r + 15*m wrt m.\nAnswer: -30984*m*r - 5808*m - 174*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((6*(-1 + sqrt(475)))**2 + (sqrt(475) + 0)**2*-1).\nAnswer: -49985 + 1080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/((-2)\/474). Suppose g = -5*f - g + 67, -5*f + k = -g. Suppose i + 0*i - 105 = 0. What is the highest common factor of i and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2398, 4809, 7220, 9631, 12042?\n\"Answer: 2411*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136287, -272559, -408831, -545103, -681375?\nAnswer: -817647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 151 = -4*k - 73, -42 = -s + 5*k. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 26*b**2 + 24*b - 47. What is z(-27)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2812.93 + 461.48. Let l = 2458 + t. Let h = -106 + l. What is h rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2727137, 5454344, 8181575, 10908842, 13636157, 16363532, 19090979, 21818510?\n\"Answer: 2*h**3 + 2727193*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 29. Calculate the smallest common multiple of c and 68\/4 - (-5 - -2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 7. Suppose -6*c + 2*c + 20 = 0. Let w be u(c). Let y be ((-3)\/(-2))\/((-3)\/(-8)). Solve -10 - w = -y*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 19*m + 6426 = 0. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 78, 90, 100, 108?\n\"Answer: -f**2 + 15*f + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5.1, -0.06, -96, -4, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 2. Let v be (1 - 0)*(-15)\/3. Let f(q) = -3*q + 5. Let z(m) = v*k(m) + 2*f(m). Let p(t) = -t. Give -6*p(y) + 5*z(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -68 + 23. Let o be -1 - (4 - (6 - 1)). Suppose o = 46*q - 51*q + 20. What is the lowest common multiple of s and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*p = -2, -5*p = -2*p - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Is (c + -4 - 3) + 101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45333 - (8 - 11))\/((-6)\/40). What is k rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 993798060 divided by -4\nAnswer: -248449515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12875 and 6386.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71270284851 + -27.66.\nAnswer: -71270284878.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3 - 19. List the prime factors of f\/(((-3)\/9)\/(-1)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l - 3. What is the units digit of c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4315.4 - 4315.624. Let u = -1 + 2. Sort -0.4, u, r in decreasing order.\nAnswer: u, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*c + 17*c - 25*c + 29*c)*(5*c**3 - 4*c**3 - 3*c**3) as i + j*c**3 + q*c**4 + h*c**2 + s*c and give q.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000381458 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-10) + 12159158\/220. What is the hundreds digit of q\/33 - -2 - (-82)\/451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -56198 and -56396 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 11:59 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0750535 millilitres in litres?\nAnswer: 0.0000750535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**2 - 11*z + 1\/12*z**4 - 10\/3*z**3 + 0. Determine u so that a(u) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 2*h)*(-4*h + 0*h + 5*h)*(-21 + 13 + 1) - 13*h**2 - 2*h**2 - 43*h**2.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(3 + (-18)\/8). Let o(p) = 0*p**2 - 3*p**2 + 1 + p - 2*p**q - p**2. Let x(v) = 6*v**3 + 11*v**2 - 3*v - 3. Give 11*o(k) + 4*x(k).\nAnswer: 2*k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3767 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-10)*(-7)\/616*77.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/15 + (-1)\/(-3). What is the third smallest value in v, -1\/8, -5, -3\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 - 48*b**2 + 7*b - 108. Let m be p(16). Solve m*u + i - 6 = 0, 3*i - 2 = 4*u - 0*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from jjjnjpjpjpjjajjpjb?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 8*r**2 + r**3 - 9*r**2 + 12*r**2 - r**4 to the form q*r**2 + i*r + p*r**3 + w*r**4 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220021112212 (base 3) to base 13.\nAnswer: -1396a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*c + 140*p = 136*p + 11, -8*c = -2*p + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 5*n**3.\nAnswer: 5*n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 14990?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 2*sqrt(117) + 4)*-1 + 3.\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*k - 3)*(-2*k - 6*k + 23*k) + (-72 - 20*k + 72)*(-2*k + 4*k + 0*k).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/49 (b) -3 (c) 0.3 (d) -0.2 (e) -185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose 2*p - p + 20 = 4*h, -3*p + 15 = v*h. Solve 5*x = -5 - h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 103 (c) 22\/7 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*j - 2\/5 - 2\/5*j**3 + 2\/5*j**2.\nAnswer: -2*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180277634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 86.908. Let a = z + 0.9. Round a to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 381, 0, -56, 4 in descending order.\nAnswer: 381, 50, 4, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - c**2\/3 - 40*c\/3 + 112\/3.\nAnswer: (c - 4)**2*(c + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 7, -84?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185042.\nAnswer: 2, 11, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2743 (b) 1\/3 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -98 and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16884*p - 19745*p - 49 + 49 - 14752*p - p - 5 + 5 - p + 4*p - 4*p + (5 - 6 + 2)*(-2 - p + 2) - 2*p + 1 - 1.\nAnswer: -51386*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o + 2. Let h be (-6)\/27 + 77\/(-99). Let w be g(h). Solve -i - i + 4 = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d + 3. Give y(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25111, 100438, 225989, 401770, 627787, 904046?\n\"Answer: m**3 + 25106*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -36\/5. Suppose 2*g - 5*o - 1 = 0, -3*g + 2*o - 5*o + 12 = 0. Suppose -z + 3*h = h + g, h = 3*z - 11. What is the nearest to -3 in 0.5, z, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2 + (4 - 2 + 0)*(-6 + 5 - 1) + 1 + 1 + 0 + 0 + 2 + 1)*(-1 + 18*z + 1)*(0 + 0 - 2).\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 81 + 359. Let f be (-2)\/(-16) + 165\/a. Suppose 82 = f*i + 2*p, -3*p + 10 = -p. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**3 - 318*a**2 + 80*a.\nAnswer: -2*a*(a + 40)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203725 and 96945.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38661\/(-105)*-5*(1 - 0).\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5586, 5591, 5600, 5613, 5630?\n\"Answer: 2*p**2 - p + 5585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145 - -120) + 123*5\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 7a?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 20217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/12 and 51\/20684?\nAnswer: 62052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/16569733 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 330304*h. Let g(o) = -16*o - 3. What is g(m(t))?\nAnswer: -5284864*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/11089 + -143521\/3526302. Find the common denominator of 37\/636 and i.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2050\/143 + 156\/11. Which is the biggest value? (a) -2\/3 (b) -2\/39 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 21)\/(1\/20). Suppose -2*g = -v + 2*g + x, 177 = v - g. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/21)\/(-3))\/(4\/(56\/(-226))).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, c: 12}. What is prob of sequence wccw?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50688 and 576?\nAnswer: 50688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -7\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 308.6715.\nAnswer: 463.00725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433.08 + -433. What is the third smallest value in 0, 2\/7, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, 8, 2 in descending order.\nAnswer: 8, 2, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.1 - 5181185235760.\nAnswer: -5181185235752.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.2, 8.5943?\nAnswer: 8.5943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-6*3\/9))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-4)\/(-3))*-2. Which is the second biggest value? (a) -2\/7 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/9 - 32\/8. Let a(f) = 17*f**2 - 356*f + 19. Let z be a(21). What is the closest to 2 in b, 2\/5, z, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 20 = 0. Let h be ((-27)\/(-2))\/((-2)\/(-16)). Suppose 147 = 4*z - 3*q, -3*q = z - 4*z + h. Calculate the remainder when z is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (51\/(-34))\/(3\/(-8)). Let b = -1 + -13. Let m be 3\/(-2) - (-14 - b). Sort m, i, -2 in increasing order.\nAnswer: -2, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 5. Let q be t(-8). Suppose 2*d + a = -3*a + 12, 3*d = q*a. Let g(p) = 44*p**2 + 23*p**2 - 4*p**d. Let u(j) = 2*j**2. Calculate g(u(o)).\nAnswer: 252*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 34*y + 6. Let n be p(34). Suppose 0 = 2*h + 3*x - 20, n*h - 4*h = -5*x + 20. Calculate the remainder when 33 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2847 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 4:24 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14))**(-18) assuming q is positive.\nAnswer: q**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 + 78. Let b be v\/(-8) - 1\/(-2). Suppose 4*g = 15 + b. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28204, -23872, -19540?\n\"Answer: 4332*a - 32536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 15*v + 1\/6*v**4 + 0 + 1\/60*v**5 - 2\/3*v**3 + 3*v**2. Let p(s) be the first derivative of n(s). Calculate p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -2*v - 4*i, 4*v + 3*i = 5*v - 210. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a hour in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31 + 58 + 2*w + 0*w + 336*w**4 - 492*w**4 wrt w.\nAnswer: -1872*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450035 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + 107. Let l(c) = i*c**2 + 204*c**2 - 402*c**2. Let o(f) = 0*f - 3*f + 3*f + 2*f**2. Determine o(l(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*j - 22 = 9, 3*c = 4*j - 35. Let f be 5\/((-5)\/(-3)) + c. Suppose -2*r - 2*g - 21 = r, -5*g = 15. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 0, -276, 111, -4.\nAnswer: -276, -12, -4, -3, 0, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose -z*t - 281 = 5*c, -t - 3*c - 79 = -5*c. Let a = t - -135. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t. Suppose 7*s - 14*s = 21. Let b be (2 - 2)*(5 - s)\/(-8). Solve -4*g - 10 = -5*z, b = -t*g - 2*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = -546 - 189. Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/60 - f**5\/20 + f**4\/8 + f**3\/3 + 11*f**2. Factor s(p).\nAnswer: -(p - 1)*(p + 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127055 and 0.5.\nAnswer: 63527.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*113086.\nAnswer: 33925.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeppcppyeyycepec. Give prob of picking 1 c and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 2, j: 1, n: 3, r: 2, s: 2}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300839 is divided by 230?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) 0.4 (d) -1\/4 (e) 0.0467 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2072*o**2 - 221*o - 2200. Let s be x(-10). Round s to the nearest 1000.\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 782*b - 113*b - 123*b in the form w*b + p and give w.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 144*w**2 - 1086*w - 296. Determine i(136).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Suppose -5*j + 11 = -14, 3*c - 26 = -4*j. Let b(w) be the third derivative of 0*w + 1\/8*w**4 + 0*w**3 + 12*w**c + 0. Give l(b(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 - 3044*g**3 + 6082*g**2 - 3040*g = 0.\nAnswer: 0, 1, 1520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*r + 9 + 6 = -273*r - 4*y, -54*y + 58*y + 9 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:59 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g - 7. Let j be d(-4). Let s be (j + 4)*-27 - -2. What is the tens digit of 1 - s - (14 + -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 578424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*k = 541*k + 4*s + 125, 2*k + s = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((297\/(-36))\/(-11))\/(9\/(-20)*(-45)\/(-66))\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 32390172*u**2 - 87426969239295*u + 174853808917926.\nAnswer: -3*(u - 5398361)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 - 50 = 4*v, -v + 28 = 2*f. Suppose 0*c + 31 = 2*c - 5*j, -f = 4*j. Suppose -o - 5*u + 41 = 5, -5*u = -3*o + c. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158.52 - 0.08. Let p = f + 140. Let k = p + 18.600166. Round k to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11685, -19154, -26623, -34092, -41561, -49030?\n\"Answer: -7469*z - 4216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*g - g + 1, 6 = -5*k + 4*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 14378815?\nAnswer: 115030520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -51. Suppose -21 = b*t - 1. Suppose 2*y = -4*z + 14, -3*z = -y - y. Put 0, z, t in descending order.\nAnswer: z, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39634, 79268, 118902, 158536, 198170?\n\"Answer: 39634*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, z: 10}. Give prob of picking 4 c.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 266735.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1892*l + 28. Let z(y) = y - 16. Let m be z(16). Let p be (-3)\/(m + (-2)\/6). Let t be k(p). Round t to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/84*-58 + (-20)\/(-8). Put -4, -25, n, 0.7 in increasing order.\nAnswer: -25, -4, n, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2727, -10976, -24735, -44004, -68783, -99072?\n\"Answer: -2755*o**2 + 16*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174.301l in millilitres?\nAnswer: 5174301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.073, -3, 0, 19?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -36.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45.725 + -40.1531. What is z rounded to 2 dps?\nAnswer: 5.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-7)\/18). Let b be 16\/8 + (-1 - -2). Are h and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11974 - 234823 = 4183*v for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 95 = -5*c, 5*v = -333*c + 334*c - 39 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 8 - 28)*(3*d - 2*d + d).\nAnswer: -118*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxccxxcxxxxxc. Give prob of picking 1 x and 1 c.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 473\/7357 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(17160\/(-50))*1528\/955.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5*k - 3*k + 0*k)*(-k**2 - k**2 + 7*k**2)*(-16 + 16 + 11*k) to y*k**4 + u*k**2 + c + o*k + j*k**3 and give y.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f + q + 12, -4 = -4*f - q. Let w(v) = 0*v**2 + 6*v**f + 0*v**2. Let o(c) = c. What is o(w(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-16))\/(6\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83, -19, -197, -451, -781, -1187, -1669?\n\"Answer: -38*s**2 + 12*s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 230 - 78\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1434 and 4\/239.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 8 = -11*l. Let f be (-208)\/(-78)*9\/l. Solve 3*v = k + f, -3*k - v + 10 = 4*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -22 + 11 - -3) + (13 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + 6 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 447768.\nAnswer: 895536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*w + 3*p, -2*p = -0*w + w. Suppose 7*s = w - 3. Let o(l) = -8*l - 3. Let u(f) = -24*f - 8. Let c(z) = 11*o(z) - 4*u(z). Determine c(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n - 44*n + 1104 = -145*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252 (base 7) in base 13?\nAnswer: -6b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13292.73 minutes in nanoseconds?\nAnswer: 797563800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 11*h. Let v(b) = -85*b - 5*b**2 - 99*b + 184*b. Determine i(v(f)).\nAnswer: 75*f**4 - 55*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8.6. Let u = 112150.1 + -112150. Which is the nearest to u? (a) 0 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14320 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 62*x**2 - 55*x**2 - x + 3 + 2*x. Let n be p(-1). Let v be (-7)\/(-2) + 3\/(-6). Solve 0 = 5*c - v*z - 35, c + z - n = 2*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 58, -1, -5, 2 in decreasing order.\nAnswer: 58, 31, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 + 131*w**3 + 46*w**3 - 152*w**3 in the form p*w + i*w**2 + m*w**3 + s and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Let b = 1459.1 - 1459. Sort b, 0, d, -5 in increasing order.\nAnswer: -5, 0, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16880320 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 45. Suppose -4*p + k = -q, -8 = -3*p + k - 2. Suppose 0 = -p*x + 439 + 200. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 33*m + 1358. Let i be s(-41). Solve -i*a + 12 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, a: 4, k: 3}. Give prob of picking 2 k and 2 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**3 + 139*d**2 + 13*d - 70198?\nAnswer: -9*d**2 + 278*d + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 49 + 0*r**3 + 0*r**4 + 0*r + 46\/5*r**5 + 27\/2*r**2. What is the second derivative of m(w) wrt w?\nAnswer: 552*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.75899 - 0.0084973994.\nAnswer: 1.7504926006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13170, -13186, -13202, -13218, -13234, -13250?\nAnswer: -13266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.4800022 + -8.48. Round l to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684273310 rounded to the nearest one million?\nAnswer: -684000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Let m = -0.6 - -0.1. Let d = 2\/3 + -8\/21. What is the closest to q in m, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74408287043.409996443 + -74408287110. Let j = 66.59 + q. What is j rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(8 - (-31)\/(-4))*19 - 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9225, -36233, -81239, -144237, -225221, -324185?\nAnswer: -441123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 9) to base 6.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 2, -194\/7, -1, 4\/7, -0.04?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = -14. Let z be -2 + 0 + k\/(-4). Let w = 1 + 0. Put w, z, 3 in increasing order.\nAnswer: z, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-399)\/114 - ((-4)\/(-18) - 139\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116542 is divided by 5826?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 435 divided by -19599\nAnswer: -145\/6533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.958 + -0.042. Which is the smallest value? (a) 5 (b) p (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, -0.4 in ascending order.\nAnswer: -4, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 9*y**2 + 10*y**2 - 6*y**2 + 2*y**4 - y**3 + 6*y - 4*y**4 - 3*y**2 in the form c*y + i*y**2 + z + l*y**3 + g*y**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/12)\/(1\/(-8)). Suppose -5*l + x = -0*x - 81, l = c*x + 9. Solve 5*u + 3 = -l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**3*j**2 - c**3*t**2 - 7*j**2*t**2 + 2*j**2*t - 2*j*t + t**2 wrt j?\nAnswer: 16*c**3 - 14*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105601092?\nAnswer: 2, 3, 1789, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 17 - 2. Let d be ((-6)\/(-9))\/((-4)\/(-42)). Suppose -7*z + 8*z - d = 0. Solve -4*h - 4 = 0, -u*f - h + z = -7*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**3 - 8*j + 8*j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8945*g + 4*x - 465 = 8950*g, -791 = 16*g - 3*x + 648 for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 5*z - 3*i - 15 = 0, i = -5*z - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 26. Let c(t) = -2*t + 6*t + z - 18. Let w(s) = -1 + s**2 + 1. Calculate c(w(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*m + 89, 2*m - 7*m - 120 = -4*j. Solve -6*x = x + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06399269 and -0.215.\nAnswer: -0.27899269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*s**2 - 6*k**3*s + 3*k**3 + 33*k**2*s**2 - 3*k*s**2 - 3*k*s + 8*k wrt k.\nAnswer: -6*s**2 - 36*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + m**3 + 0*m**3 + (-5*m**2 - 2*m**2 + 3*m**2)*(-80 + 118*m + 80).\nAnswer: -473*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 - 1932*i - 1120738\/11.\nAnswer: -2*(i + 53)*(i + 10573)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 122*p + 3. Suppose 28*m = 20*m + 8. Suppose 5*q + 4*z - 26 = 0, 0 = -4*q + 3*z - 5 + m. List the prime factors of j(q).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39035821 is divided by 3957?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 157619 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 remainder when 86144 is divided by 922?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(576))\/(-3*sqrt(18)\/(sqrt(576)*1)).\nAnswer: 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4*sqrt(6)\/sqrt(3) + -5)*4)**2 + (2 + sqrt(200)*-1 + -3)**2*4.\nAnswer: -560*sqrt(2) + 1712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -24*k**4 - 8*k**3 + 8*k**2 + 12*k + 4. Let g(v) = -29*v**4 - 7*v**3 + 9*v**2 + 12*v + 5. Let m(n) = 4*g(n) - 5*h(n). Factor m(c).\nAnswer: 4*c*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -5. Suppose -w = -3*c - o, 0 = 5*w - 2*c - c - 42. What is the smallest common multiple of w and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - t - 3*t)*(81 + 96 + 37)*(-64 + 31*t**3 + 64) as v*t**2 + j*t**3 + o*t + q*t**4 + d and give q.\nAnswer: -13268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159)\/(-371) + 0\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -19 = -540\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2635460*r + 1464698*r + 1642838*r.\nAnswer: 5742996*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 142?\nAnswer: -19.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 4*g**2 - 6*g - 4. Suppose 0 = -2*b - 5 - 5. Let w be m(b). Let d(k) = 12*k**3 - k**2. Is 11 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -323 + 337.7. Let h = a + -13.7. Let s(q) = q**3 + 6*q**2 + 4*q - 5. Let n be s(-5). What is the nearest to n in h, -6\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w. Let a be s(-7). Suppose -m + 16 = m. Solve a*b = -2*b + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:42 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 + 33 = -9*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32852359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j**2 - 11*j + 6. Let q be u(6). Suppose q*n = 5*n. Suppose 16*k - 626 - 1262 = n. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11420 + 12?\nAnswer: -11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 648 - 645. Solve -3*p + k*s = -6, 6*s = -3*p + 8*s + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcccwsswssc. Give prob of picking 1 w and 1 s.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.17 - -35.67. Let w = -1172\/9 + 130. Let p = 0.1 + 0.2. Which is the nearest to w? (a) 0 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8 and 69\/68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 11*o - 4. Let c be (6 - 438\/(-18)) + o\/(-6). Solve -5*x + 5*s + c = 3*s, -2*x - 2*s = -4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by 6?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120211021102 (base 3) in base 12?\nAnswer: 99653b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let g(w) be the third derivative of -w**5\/20 - 5*w**2. Determine g(p(q)).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 196687920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70228, 70267, 70316, 70381, 70468, 70583, 70732?\nAnswer: 70921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((0 - -1) + 2)*1. Suppose d - 5*f + 0 = 2, 6 = p*d - 4*f. Find the second derivative of -i**4 + d*i**4 + 2*i - i wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1309 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12958 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/49)*l)\/l*l*l*l\/(l\/(l\/(l*((l*(l\/(l**28\/l))\/l*l)\/l)\/l*l)*l)) assuming l is positive.\nAnswer: l**(1472\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 - 3. Let l(a) = a**2. Give f(l(t)).\nAnswer: 7*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 2 = -2*x, -159*x - 5*d = -157*x - 19 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 9, 7, -15, -69, -167, -321?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3870\/17 or 228?\nAnswer: 3870\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.56 - -43.06. What is the third smallest value in j, 0.04, -1\/5, -0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 14 - (-477 - -424)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 < -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99 or -111?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 2 f when four letters picked without replacement from {r: 8, v: 4, f: 4}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f - 4. Let r(o) = -1873*o. Give r(q(l)).\nAnswer: -20603*l + 7492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 841455 plus 985254?\nAnswer: 1826709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, -421, -4\/3, 4, 0.2, -2.\nAnswer: -544, -421, -2, -4\/3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*2\/(-3). Let z be -4*((-1)\/(-2))\/r. Suppose z*m - 11 = -c, 3 - 5 = -m + 3*c. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 33*k**3 + 200*k**2 + 8*k + 16. Let v(r) = -22*r**3 - 132*r**2 - 5*r - 10. Determine 8*v(b) + 5*w(b).\nAnswer: -11*b**3 - 56*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15*c**(4\/11) assuming c is positive.\nAnswer: c**(169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5187, 5164, 5127, 5070, 4987, 4872?\n\"Answer: -x**3 - x**2 - 13*x + 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 39*r - 10 = 1, 5*m - r + 50 - 84 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -38. Suppose -f*w = -w - 10. Calculate the least common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c - 2*c + 4*c + 6*c as r*c + z and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**7\/30 + y**4\/24 - 2*y**2. Find the second derivative of j(d) wrt d.\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -2*o + 5*t - 85, 6*o + 2*t = -74 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 + 6 = -5*z, 4*z - 12 = 0. Let h(x) = -x**2 - 4*x + 2. Let g be h(y). Let s = 1 + 1. Is g equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 6 + (-5 + 14 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240772809.\nAnswer: 3, 23, 197, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3991802*r - 15967222. Give u(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i**3 - 6*i**2 + 23*i + 25. Let w be n(-8). Let z(x) = -4 - 5591*x + 3 + w*x. Determine z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/5 (b) 142\/5 (c) 51 (d) 5 (e) -0.2 (f) 0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = j - 27. Which is the third biggest value? (a) j (b) 6 (c) -2\/21 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-8) - -3)*44\/(-6). Let a(t) = -149*t - 156. List the prime factors of a(k).\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171202 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 104, 106, 108, 110, 112, 114?\n\"Answer: 2*x + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/4 + 32155*y**2 + 35814323*y\/4 + 1245219129\/2 = 0. What is y?\nAnswer: -139, 128898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 910*m - 1560. Let r(f) = f + 15. Determine -c(v) - 104*r(v).\nAnswer: -1014*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 - -85 - (2 - (4 + -2) - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49079971*o**3*x**2 + 60391642*x**2 with respect to o.\nAnswer: 147239913*o**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 = -0*x - 3*x, 4 = 2*x + 5*p. Solve x*d + 3 = -l - d, l - 2*d = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1506 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 11*s + 79474 = 3*y, -y = 3*s - 26468. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51300407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 9*h - 4*h + 26, -168*h + 7 = -172*h + 5*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7156.384mm?\nAnswer: 7156384000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/258 and 73\/21393?\nAnswer: 1839798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + 0.5. Suppose -3*d = 7 + 5. Let s be d*(-2)\/20*-5. What is the third smallest value in s, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44600 to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5889 - 5819) + (-52 - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 2}. What is prob of picking 1 s and 3 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6146626 centimeters to meters.\nAnswer: 0.006146626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -9\/5 (b) -0.628 (c) -370 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 not equal to 1762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 6*t + 6. Let w(l) = l**2 - l + 1. Let q(a) = -v(a) + 6*w(a). Let j(x) = 6*x - 12. Give q(j(g)).\nAnswer: 36*g**2 - 144*g + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101000?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 536 - 120 = 0. Suppose -7*m = -23 - c. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8601\/141*(0\/1 - -1). Let z = v + 23. What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 20. Solve -p*j = -3*g + 37, j + 3*g - 27 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivvvyii. What is prob of sequence yv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b8 + -91?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/36)\/(3\/(-9))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3035 and 70\/3.\nAnswer: 9105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/9 - 14200\/(-1704). Solve -1\/4*n - 1\/8*n**q - 1\/8 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19464 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 times -0.317827?\nAnswer: 396.012442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-180)*(-30080)\/(-37224)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -140353 (base 7) in base 14?\nAnswer: -999a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*f - 29*f + 231*f)*(2 - 3 + 0).\nAnswer: -234*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 407 and 110?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, 3, -3\/7 in increasing order.\nAnswer: -3\/7, -1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4654*x**2 - 2918198 + 4645*x**2 + 2918198 + 2*x**3 - 13947*x**2 + 4648*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4 + 3 - 6 - 4*r**2 - 2*r. Let n(f) = -21*f**2 - 11*f + 5. Let l be (-8)\/12 - (-35)\/3. What is l*x(v) - 2*n(v)?\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 287. Let o = f + -105. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -3*k - 323 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16015*t + 65. What is the thousands digit of o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023224260.\nAnswer: 2, 5, 51161213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2 and -26\/183437.\nAnswer: 366874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**6*x*x)\/x*((x**(-1)*x)\/x)\/x*x)**(-34) assuming x is positive.\nAnswer: x**(-238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -66, -369, 0.4 in descending order.\nAnswer: 0.4, -1\/6, -66, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 25*n - 164. Calculate the remainder when m(11) is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v = 130*v - 5*s - 5, -v - 2*v = s - 10*s - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/19720*-377*((-58)\/(-26) + -2)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 366*k\/7 + 1720.\nAnswer: 2*(k + 43)*(k + 140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -0.3, -1, 0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - 0.03. Let o = -70.15 + k. Let m = o - -75. What is m rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3 - -6) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4934 - -0.0234. Let c = m + 2.17. What is the second smallest value in c, -4, 0.01, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 931132?\nAnswer: 931132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7848, -15696, -23540, -31380, -39216?\nAnswer: -47048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20 = -5*m + 69, 3*y + 2*m = 34. Let q(a) = 2 + y - a - 8 - 1. Let d be q(-3). Solve -s = d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**3 + 2*p**2 + p. Let k be (-1)\/(5\/((-30)\/(-27)) + -4). Let s(n) = n**3 - 4*n - 1. Let u be s(2). Let f = k - u. Give g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*6692.\nAnswer: -80304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 13\/((-78)\/12). Suppose -6*b - i = -4*b + 9, -4*b + j*i = 14. Is 24 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -19. Find the first derivative of -d**3 + d - 4 - d + p wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55717125 is divided by 102.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1 + -1 + 1 + 1 + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104121442 (base 5) to base 16.\nAnswer: -6fc13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/110 and (37\/30)\/(260\/234) - 1.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/2 - 13*y**3\/2 - 21*y**2\/2 + 13*y\/2 + 11 = 0.\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860849183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 0)*(0 + 1 + 1)*(-8*x**3 - 4*x**3 - 5*x**3) in the form o*x + v + g*x**3 + j*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 y when four letters picked without replacement from {d: 5, y: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*i - 609 = 206*i - 425*i. Let a be 0 + -1 + (0 - -10). Calculate the greatest common divisor of i and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/15, -42, 0.5, 0?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -7 (c) -1\/2 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 32*c = -3325. What is the remainder when c is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1546564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/8 and -151\/705276.\nAnswer: 1410552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3. Let o(u) = -u. Let n(k) = -2*o(k) - y(k). Give n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -8*z**5\/15 + 15*z**4\/8 + 9*z**2\/2 + z. Let u(a) be the first derivative of n(a). Find the second derivative of u(c) wrt c.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179 and -46.\nAnswer: 8234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-g + 208 + 1919 - 950).\nAnswer: -2*g + 2354","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 310637 from 146297.\nAnswer: -164340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:21 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -657*q**3 + 12*q**2 - 9*q - 2. Let c(h) = -328*h**3 + 5*h**2 - 4*h - 1. Determine -5*c(y) + 2*i(y).\nAnswer: 326*y**3 - y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:55 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 159*z - z**2 - 159*z + 3*z**2. Let j(y) be the second derivative of 61*y**4\/6 - 18*y. Determine j(b(c)).\nAnswer: 488*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*f - 16. Let x be (-48)\/(-10) + -4 + (-3)\/5. What is the second smallest value in x, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.58 + 11777531.3302.\nAnswer: 11777527.7502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q - 2*q)*(-2 + 2 + 1) - 19*q - 373282 + 373282.\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387625?\nAnswer: 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 3, x: 1, b: 1, g: 6, y: 4}. What is prob of picking 1 x and 2 y?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*((-186)\/8)\/(15\/8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-13 + 24 + -5 + (-1 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 6*j**2 - 6*j - 3. Let x be b(3). Let h be 24\/(-126)*-18 - x\/14. Solve 7 = -4*r - t, -3*r + 0*r = h*t + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*v - 2 = -g, 3*v + 10 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 15. Suppose -o*v - 3196 = 2*v. Let t = v - -1125. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/161*70\/6. Which is the fourth smallest value? (a) 3\/2 (b) t (c) 27 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 * -0.57\nAnswer: 76.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -8. Is (-332)\/(-6)*(-6)\/q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -117 - -46150?\nAnswer: 46038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333000 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*w + 17 + 14, 3*f + 4*w = -29. Let n = -119 - -122. Let o(c) = 118*c**3 - 119*c**3 + n + 4*c + 2*c + 2 - 6*c**2. Determine o(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-483)*(-2)\/8.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.20545 or -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izza when four letters picked without replacement from {z: 2, a: 3, i: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -y - 2*y - 4, 2*h = y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - (2 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 262, 1059, 2364, 4165, 6450, 9207, 12424, 16089?\n\"Answer: -2*r**3 + 266*r**2 + 13*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ytyc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(162) + -3.\nAnswer: -3 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(3\/2)*j))\/j)\/j)**(2\/5)\/(j**10*j*j**(-8\/3)) assuming j is positive.\nAnswer: j**(-146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 10*y**2 - 14*y + 28. Let o be u(11). Let a(s) = 22 + 9*s - 22 - s**2. Let z(r) = r**2 - r - 1. Let m(v) = -a(v) - 2*z(v). Determine m(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(190)\/(sqrt(5) + 2*sqrt(5)) - sqrt(38)))\/(sqrt(98) + 1*sqrt(98)).\nAnswer: 5*sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96879921 and 3732.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2. Let b(s) = -22*s - 6. Let n(j) = -43*j - 10. Let l(t) = 5*b(t) - 3*n(t). Determine l(c(g)).\nAnswer: 133*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + 20 + -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 31 - 31 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:28 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkttm. Give prob of picking 1 t and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -614220 divided by 6.\nAnswer: -102370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1234 + 1339. What is the greatest common factor of 25 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5988221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = 7*l + 68. Let q(i) = 3*i**3 + i**2 + 2*i - 1. Let t(u) = u**3 + u**2 + u - 1. Determine l*q(v) + 2*t(v).\nAnswer: -4*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 3, y: 3, r: 5}. What is prob of picking 1 w, 1 r, and 1 x?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.873 + 362.\nAnswer: 345.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 3. Let s(g) = 9*g - 3. Let k(q) = 5*h(q) + 4*s(q). Let n(r) = 2*r - 1. Let c(b) = -3*k(b) - 7*n(b). What is the derivative of c(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 - -78. Let b = -27 - c. Suppose 0 = 4*v - 3*v - 46. Calculate the remainder when v is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3890*c + 198400. What is t(-51)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -502*b + 506*b - 13264. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 133 = 197. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*s. Suppose -200 = -2*h - 3*b, 3*h - h + 5*b - 192 = s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + (3 - 9) - (-30 + 6) - 135?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61004175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/15 + (-1)\/(-5))*350. What is the least common multiple of 49 and 4\/((-8)\/(-6))*b\/150?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -15 + -2 - (-65360)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 + -11. Let x = 99428 + -99427.300048. Let k = x - r. What is k rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22140 and 19680.\nAnswer: 177120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 1\/3*z**3 + 0 - 201*z - 1\/20*z**5 + 7\/12*z**4 - 5\/2*z**2. Suppose a + 3 = -j - 4*j, -2*a + 6 = 4*j. What is c(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1536*a - 15. Calculate v(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0 - 14) + (12165 - 12165)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(20\/(-17)) + 4. Suppose -3*z = -4*s - 0*z + 4, 0 = 5*z. Let j = -0.4 - -0.2. Which is the closest to -0.3? (a) j (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**2*s**2 + o**2*s - 2*o**2 - o*s**2 + o + 4635*s**2 + 2879 wrt s?\nAnswer: 16*o**2 - 2*o + 9270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*v**3 - 1958*v**2 + 1958*v**2.\nAnswer: -739*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/340 and -29\/35.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t + 937*t = -738*t + 88128 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 5 - i**3 - 4*i**2 - 5*i + 0*i**2 + 2*i**2. Is z(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**2)\/(b*b**(2\/11))*b**0\/b**(-1\/3) assuming b is positive.\nAnswer: b**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**7*g*(g*(g*g\/(g\/(((g*g*g**(20\/7)*g*g)\/g)\/g)*g)*g*g)\/g)\/g)\/(g**(-5\/7)\/g)**(-1\/13) assuming g is positive.\nAnswer: g**(1340\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Suppose 252 = 4*m + g, 11*m - 8*m - 189 = -5*g. Let x(z) = 22946 + m*z - 22946. Determine i(x(q)).\nAnswer: -3969*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 14, 23, 36, 53, 74, 99?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y - 12 = -3*h + 15*y, 2*h + 2*y - 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 6*z + 18. What is m(10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8196 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263\/524 - 1\/524. Suppose -4*d + d**3 + 2 - q*d**4 + 3\/2*d**2 = 0. Calculate d.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162 is divided by 343.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*t + 744. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.7953 - -1.\nAnswer: 13.7953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184192920 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1141, 1048, 955, 862?\n\"Answer: -93*w + 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 q when four letters picked without replacement from {a: 2, q: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -3 + 5 + -10. Let g(f) = f + 12. Let j be g(k). Solve -j*p - 1 = 3*m - 2*m, 4*m = p + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/4 - k**3\/3 - k**2\/2 + 34*k + 7. What is the remainder when s(0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p + 6 = 0. Let m be -2 - (-1 - (-3 - p)). Solve -3*g = m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 2:57 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/7 - 1115976*r**2\/7 + 6695937*r\/7 - 10043946\/7 = 0. Calculate r.\nAnswer: -371998, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -2)\/(6 - 4). Let z be (1 - k - -1) + 2. Let j(b) = 2*b - 1. Let d be j(z). Solve 3*i - d = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 157*n**2 - 5*n - 62*n**2.\nAnswer: 95*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73532121.0000036 - 73532138. Let w = -17 - u. What is w rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(72)\/sqrt(9)))\/sqrt(10)*5.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9) + 1)*(46 - 1). Solve -3*v = 2*v - a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5639054.934 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 4*i - 33 + 31)*(1 - 5 + 2).\nAnswer: 4*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95))\/sqrt(5))**2 - (2 + sqrt(171) + sqrt(171)).\nAnswer: -6*sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-14) - (657\/(-63) + 4). Is (-2 - 1)*(2 + (-1588)\/h) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) + (-6 - 7\/((-63)\/178)). Solve 0 = 7*o + r*o - 147 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from vvllvl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25000\/3 + -8334. Let p be (-1 - (-72)\/75)*-2. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159? (a) 34 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.83 plus -133790730?\nAnswer: -133790644.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + c**3 - 3*c**3 + 12*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116627851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:34 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqdt when four letters picked without replacement from qkqtqkttkdq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + r = -2*b - 60, 0 = 4*b - 2*r - 56. Let m be ((-8)\/12)\/((-6)\/2241). Suppose 17*c - m = b*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.067799558 * 0.3\nAnswer: 0.6203398674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5471 - -5471.3. Sort 0.13, 2, h, -43 in decreasing order.\nAnswer: 2, h, 0.13, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 - 106263?\nAnswer: -106403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132535178.\nAnswer: 2, 3061, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10867110701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - -0.8. Let u = n + 1.9999991. What is u rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28925 and -2979615.41.\nAnswer: -3008540.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2*i + 0*i + 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let o = -116 + 115.7. What is the third smallest value in -2\/7, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z**2 - 13*z**2 + 8*z**3 + 99*z - 100*z to p*z**3 + c*z + s*z**2 + l and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 128\/569?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 766 - 762. What is the second biggest value in 1, 0, s, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 + 9*u**3 - 2*u**3 + 2*u + 6 + 4 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -6. Solve u = 4*d + 13, 4*u + 3*d - d + h = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 11. Let j be a(13). Solve j*q - 6*q = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2\/13 (c) -45 (d) -17 (e) 0.0631 (f) -0.4 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 95.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18202 and 1985614?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145311 divided by 3.\nAnswer: 48437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15149, 15137, 15111, 15065, 14993, 14889, 14747, 14561?\nAnswer: 14325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 7. Let w(t) = t - 8. Determine 6*p(g) + 5*w(g).\nAnswer: -7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + 1 - (13 + -19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + i. Let p(j) = 9*j**2 - 2*j - 4. Let q(o) = p(o) + 4*x(o). What is q(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 4*f**2 - 4*f**2 + (2*f**2 + 3*f**2 - 3*f**2)*(-1 - 4 + 3) + f**2 + 2*f**2 - 2*f**2 + (0*f**2 - f**2 + 5*f**2)*(-12 + 97 + 167).\nAnswer: 1001*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*z - 23 = -2, 2*z = -4*u + 14. Let k(n) be the first derivative of -1\/30*n**u - 3\/5*n**2 + 7 + 8\/15*n + 4\/15*n**3. Factor k(q).\nAnswer: -2*(q - 4)*(q - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 24 = -11*z + 3*c, 0 = 3*z - 4*c + 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475410.\nAnswer: 2, 5, 7, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-87)\/(-24) - ((-104)\/(-64) + -2). Solve 7*t - p*t = -s + 11, 5 = -5*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 12:53 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -5\/21?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4 - 4)*(-139116 + 3409*o**4 + 139116).\nAnswer: -3409*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 241*o**4 - 13346*o**3 + 41474*o**2 - 41951*o + 14063.\nAnswer: (o - 287)*(o - 1)**3*(o + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/120 + t**4\/12 + t**3\/3 + 9*t**2\/2 - 2*t. Let y(c) be the first derivative of q(c). Factor y(s).\nAnswer: (s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-13))\/(((-945)\/(-18))\/35)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.7 (b) -52 (c) 156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (19\/(-76))\/((-2)\/(-4))*-6. Suppose 6 + 2 = 4*a. Sort a, n, -55 in descending order.\nAnswer: n, a, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byzyyvbytyyyynnbz. Give prob of sequence yz.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/27))**(-41)\/((g\/g**(-4\/3))\/g)**22 assuming g is positive.\nAnswer: g**(-874\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -31 in decreasing order.\nAnswer: 2, -13, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -11 + -3 + 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:25 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (510\/(-2210))\/(1\/(45\/(-27)))\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71404 < 71407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2079, 1940, 1569, 852, -325, -2076?\nAnswer: -4515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1043 divide 25375147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 346221307*l**2 - 476304475 wrt l?\nAnswer: 692442614*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u + 11. Let k(f) = -f**2 - 50*f + 5 + 43*f + 12. Let n be k(-8). Let y(b) = -7 + 5 - 3 - 1 - n*b. Calculate -6*g(w) - 11*y(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 + 3*j - 3. Let p be g(-3). Let n = 367\/6 + -61. Which is the smallest value? (a) p (b) n (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 12 + (3 - 1) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 20*g + 66. What is z(25)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsmffwmfss. Give prob of sequence mw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 174113 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -5561502?\nAnswer: 5561505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92898 and -1.683.\nAnswer: 156347.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:59 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)\/i**(-1\/9))\/(i*i\/((i\/i**(-2\/5))\/i)*i**(2\/5)\/i))**(2\/47) assuming i is positive.\nAnswer: i**(-140\/4653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -14208407.2 to the nearest one hundred thousand.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4\/5, -2\/9, -18, 6 in decreasing order.\nAnswer: 6, 4\/5, -2\/9, -1\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 161. Let m(o) = -o**2 + 5*o + 24. Let u be m(8). Let x be w(u). What is the greatest common divisor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 199.9. Let p = 266 - 261. What is the nearest to 0.7 in p, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2085720, -2085719, -2085718, -2085717, -2085716?\n\"Answer: p - 2085721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(28\/(-3080)). Suppose -2*k - 1 - u = 2*j, 4*j = 3*k + 49. Which is the closest to 2\/7? (a) -2\/9 (b) 0 (c) k (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1736116877, 1736116878, 1736116879, 1736116880?\n\"Answer: v + 1736116876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = 5*t - 15, 3*t + n - 7 = 0. Suppose 5*y - 1 = -t*o - 7, 24 = 4*y - 4*o. Suppose y*c - 5*c + 60 = 0. Solve 0 = 7*f - 2*f + c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 139 + 197 = 0. What is j rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*f + q, 9*q - 11*q + 15 = f. What is the remainder when ((-362)\/(-6))\/((-7)\/(-21)) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-1) + (-1 - -30). Solve -12 = -23*t + v*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 1 + 8 - 8) + 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z - 3. Let v be r(1). Suppose -2*n = -7*n - q + v, -3 = -3*q. Suppose -n = 4*y - 151. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 - 7*j + 4. Let u be i(-7). Suppose 9 = -t + u*t. Solve -4*l - 4*k + 8 = -t*k, -2*k + 7 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -7. Let w be 2\/p - (-108)\/(-14). Let g be (-366)\/(-10) + w\/(-20) + -2. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1438843 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/1842003 and -40\/1842003?\nAnswer: 1842003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 5. Let o(l) = -2 + 84*l + 86*l + 89*l - 260*l. Calculate o(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74937552 and 6350640?\nAnswer: 374687760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*w = 8 + 6, -4*w = -8. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60486.813 minutes in days?\nAnswer: 42.00473125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5634550463 to the power of 1\/2, to the nearest integer?\nAnswer: 75064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69.3 + 19.7. Let x = -157.25287 - -68.2553. Let w = c + x. Round w to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 101, 214, 371?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 7:09 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/15)\/(h*h\/h**(-3\/4)))\/(h\/(h\/((h\/(h*h\/(h*h**4*h)*h*h)*h)\/h)*h*h))**(-3\/4))**45 assuming h is positive.\nAnswer: h**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -170*i + 9. Let y(v) = -113*v + 6. Let f(h) = 5*m(h) - 8*y(h). What are the prime factors of f(1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**9\/1512 + o**8\/140 + o**3\/2 + o**2\/2 - 50*o. Let t(h) be the second derivative of w(h). What is q in t(q) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90078 = -0*n + 2*n. Is ((-2)\/(-3))\/((-2)\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898 (base 14) to base 11.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1))\/1*5. Let s be (-16)\/(-10) - (-2)\/d. Solve -s*p - 1 = -9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(2*f - 2*f**4 - 2*f) + 3*f**3 + f**5 - 3*f**3 + 0*f**5 - 4*f**5 + 5*f**5 - f**5 + 6*f**5 - 3*f**5.\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003106 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2. Let x(d) = -3012*d - 2. Calculate x(a(s)).\nAnswer: 21084*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2)*-1)**2 - (-1*sqrt(3) + 1).\nAnswer: -3*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4672.\nAnswer: 23360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971241.\nAnswer: 3, 43, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 22*z**2 + 51*z + 50. Determine j(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009513306 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -10. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12257 + -12224. Solve -203 - 28 = -d*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 - 2*k**2 - 2*k + 2. Calculate t(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*d + 934*d + 231 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1996208*b*t + 2041*b + 2*t + 938 wrt t.\nAnswer: -1996208*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**7\/140 + p**6\/72 + p**3\/3 - 3. Let b(y) be the third derivative of m(y). What is the third derivative of b(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 36*m**2 + 1. Let z be u(-1). Let o = -27 + z. Which is the second biggest value? (a) 1 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -0.3 (c) 4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2120 + -2117. Solve 4*r = 4*u - 4, -4*u - 4*r - 7 + q = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/2065 in 3\/43, 42, 193?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.176 (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 913*p**5\/30 + 571*p**4\/12 + 479*p**2. Find the second derivative of y(j) wrt j.\nAnswer: 3652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p + 138 = -102 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 + 28 = -3*d + 3*y, 971*d - 981*d - 3*y = 137 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72256 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*p + 248*p - 106*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-23 - 6 + 0)*(526 + 719 - 75)*(0*y + 0*y + y)*(-3 - y + 3) as a*y + i + q*y**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/7)\/f)*f*f\/f**(-8))**(10\/9) assuming f is positive.\nAnswer: f**(860\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/9 - 25\/18. What is the closest to -2\/5 in u, 3\/4, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + 5 + 2 - (-11 - (-13 - -55)))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3 + 158*b**2 - 6688*b + 34656 = 0.\nAnswer: 6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 122*c + 5. Let l be i(2). Let a = 417 - l. Suppose -5*b + a = 43. What is the remainder when 97 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 214?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0.3, -37\/5, 5\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from oqqo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585674?\nAnswer: 2, 292837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**4\/4 + f**3\/3 - 5*f**2. Let o be c(2). Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 1305, 3730, 8403, 16074, 27493, 43410, 64575?\nAnswer: 91738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:05 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171012 divided by -12.\nAnswer: 14251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*v - 87*v - 60 = 0. What are the prime factors of ((-70)\/v)\/(-1*(-2)\/(-24))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4.1. Let i = -36 + 38. Let q = i + -7. What is the nearest to 0 in q, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-25)*-1)\/((-349)\/3490).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6326*u + 236761 = -2140*u + 35833 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x = -42*x - 4. Let v(p) = -p**2 + 5*p. Let a(m) = -3*m**2 + 16*m - 1. Let r(y) = 2*a(y) - 7*v(y). Give r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:21 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 4*f**2 - f - 4. Let h be g(3). Solve 4 = 3*o - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 8221752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (220\/33)\/((-2)\/(-3)). Let k(r) = -r**2 + 13*r + 7. Let u be k(m). Let o be (2 - 1 - 0) + u. Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/26 - -49\/52. Let k = -54.3 - -54. What is the second smallest value in 22, l, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 100\/3 (c) -0.3 (d) 3\/2 (e) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a. Let f be ((-2506)\/(-105))\/(-1) - 4\/30. Let v(o) = o. What is f*v(h) - 3*u(h)?\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a - 9316 = -9395 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.6 - 13.2. Let q = 0 + -1. Let t = 1.6 - 1.7. Sort u, q, t.\nAnswer: q, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 124*y + 145*y - 364*y + 4 + 195*y - 10*y**2. Give g(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82180.4271 to the nearest one thousand.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3458 = -9*x + 2*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:12 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*q + 1328 = 4*r, q + 1353 = 4*r. List the prime factors of r.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6985.77 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/12 + 3*w**2 + 8*w. Let r be l(0). What is the third derivative of -9*h**r + 6*h**2 + 0*h**2 - 10*h**6 + 6*h**6 wrt h?\nAnswer: -1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.43*0.03904412.\nAnswer: -0.0558330916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 - 1002*g - 1102. Give t(202).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -334524\nAnswer: -334524.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 30*d - 626. Let j = 0 - -5. Suppose 5 + j = p. Calculate the least common multiple of p and s(21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 7:35 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884864089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5, h = -h - 5*g + 1. Suppose -h*q - 13 = -2*i, -5*i + 3*q - 6*q = -1. Suppose 4*u = u - 4*r + 9, r - 5 = i*u. Is u at least -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**3 - 2*o**2 - 11*o - 2. What is the remainder when z(-2) is divided by 29\/(2\/((-6)\/(-3)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -787 + 800. Solve m*z = 17*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 + -158. Suppose x = 3*u - u. Suppose 2*b + u = 3*w, w - 2*b - 27 = -0*b. Calculate the greatest common divisor of w and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:03 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q + 2*a + 103, 2*q + a = 176. Calculate the remainder when q is divided by 564\/14 - 4\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5. Let s = -202\/3 - -68. Which is the second smallest value? (a) x (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4*2*sqrt(2000) - sqrt(2000))*4)\/((1*sqrt(4)*-5 - sqrt(4)) + -2*sqrt(4)*5).\nAnswer: 1 + 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 5*h - 85 = 0. Sort 4, h, 1, 6 in increasing order.\nAnswer: h, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + 4 + -14 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201020210212210 - -2?\nAnswer: -2201020210212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0222100867 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238849608 to the power of 1\/2, to the nearest integer?\nAnswer: 15455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 0 + -4 + ((sqrt(88) - (5*sqrt(88)*6 - sqrt(88) - sqrt(88)))\/sqrt(8))**2.\nAnswer: 8*sqrt(11) + 8015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*d + 24 - 9, -d - 15 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21306890 to the nearest 10000.\nAnswer: 21310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 + 75 + 0*r**4 + 92*r**4 + (r + r - r)*(10 - 10 + 9*r**3).\nAnswer: 101*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1203 + 5103 = 0. What is the highest common factor of 360 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -697613, -697603, -697579, -697535, -697465, -697363, -697223, -697039?\n\"Answer: y**3 + y**2 - 697615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 73374419.\nAnswer: -4\/73374419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -5, 3 in ascending order.\nAnswer: -5, 3, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45561, 182742, 411389, 731508, 1143105?\n\"Answer: z**3 + 45727*z**2 - 7*z - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + (10\/5 - 0). Let w(b) = -8*b**3 + 9*b**2 + 8*b - 5. Let a(h) = 2*h**3 - 2*h**2 - 2*h + 1. Determine k*a(r) - 2*w(r).\nAnswer: -2*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281933031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2892\/156 + 138\/299\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 - 109) + 1 + -2 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.62752 centuries?\nAnswer: 62.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 4, 0.2, 0.02, 347\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1)\/6)\/(5\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 9}. What is prob of sequence lv?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094221637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 565, 2, -10.\nAnswer: -10, -1, 0, 2, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 + s**4\/4 + 2*s**3\/3 - 5*s**2\/2 + 11*s. Determine l(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192190*i**5 + 1709*i + 4 wrt i.\nAnswer: 3843800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - -5*3*sqrt(9)))**2 - (sqrt(102) + (sqrt(102)*2 - sqrt(102))*4)\/sqrt(6).\nAnswer: -5*sqrt(17) + 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 11) in base 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6.1221872364 - 1\nAnswer: -7.1221872364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-44)*(-140)\/(-30) and 11\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 11. Let h(x) be the third derivative of 0*x - 6*x**2 + 0 - 1\/24*x**4 - 2\/3*x**3. Determine 11*h(l) - 4*t(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7288\/(-8199) + 233\/9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*o + 38*o - 4. What is the tens digit of 1\/(-2)*o + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0187681 and -1.\nAnswer: 0.0187681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6791 is divided by 2175?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 160 = -38. Suppose 0*v - 3*v + h = 0. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91.38 and -365.\nAnswer: -273.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2149 - -3.536675.\nAnswer: 3.751575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/21 and -10\/2565657?\nAnswer: 17959599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583216 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjh when three letters picked without replacement from {x: 2, y: 2, j: 6, h: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -14. Let o be (-286)\/(-77) + 2\/s. What is the third derivative of -3*v**2 + 0*v**o + 5*v**4 + 7*v**2 + v**4 wrt v?\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83, 292, 639, 1124?\n\"Answer: 69*c**2 + 2*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2844 - 2848. Which is the smallest value? (a) -14 (b) u (c) 0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29398*d**3*z + 17*d**2 - 6*d*z + 9066581*z wrt d.\nAnswer: 88194*d**2*z + 34*d - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48\/5 of a century?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.83 + -0.17. Put c, 0.1, -4 in descending order.\nAnswer: 0.1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from hhhihiiihihhihzahzdh.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 9*b**2 - 9*b - 3. Suppose 2*q = -17 + 1. Let d be v(q). Suppose -d*w = -3*w - 18. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + l = -59, 0*a + 30 = -a - l. Let t be 837\/(-21) + (-3)\/21. Let i = a - t. Solve -4*k - i = -31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b - 1386 = -6090. Suppose -5*j = 3*g - 532, 5*j = 7*j - 2*g - 216. Let s = b - j. Are s and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, 4.\nAnswer: -1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 2*m - 2, -5*m + 5*r = -5. Which is the second biggest value? (a) 4 (b) m (c) -1\/4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/7*q**2 - 20\/7*q**3 + 6\/7*q**4 + 16\/7*q + 0 = 0. What is q?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307104574 to the nearest 100000.\nAnswer: -307100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**2 - 2*c**2)*(-4*c**3 + c**3 + 0*c**3) + (13*c - 23*c + 3*c)*(-2*c + c + 0*c)*(2*c**3 - 1 + 1).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3*j**3*(j*j*j**(-1)*j)**(-4\/11)*(j*j\/(j**(2\/7)*j)*j)**(4\/7)\/(j*j\/((j**(1\/4)\/j)\/j)*j**(3\/2)) assuming j is positive.\nAnswer: j**(2161\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1\/(p**7*p)*p**9\/(p**2\/p) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/(-10) - 3) + 27\/5. Solve -2*p + c = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102320132101 - 10?\nAnswer: -102320132111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 7*g**2 + 3*g - 5. Calculate t(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 6*h - 7*h + 8 = 0. Sort -2, h, 200, 2, 3 in decreasing order.\nAnswer: 200, 3, 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:23 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p + 40*p - 5*c + 46 = 0, -3*p - 4*c + 35 = 0. Let f(n) = n**3 - 10*n**2 + 6*n + 3. Determine f(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/1069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccdddcccadaa. What is prob of picking 4 c?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4655\/78 - 181\/3. Calculate the common denominator of 61\/18 and c.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 13) to base 12\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116957\/143640 + 1\/20520. Let k = 3472681\/98 + -35435. Calculate the common denominator of w and k.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-733)\/43 + (-536)\/(-11524) - 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6462.63 and 0.048.\nAnswer: 6462.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:00 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h - 5. Let t be c(7). Let d = t - 12. Suppose 4*j + 0*j = d. Solve -m + 4*m = -j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2984038068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = -0. Let z(r) be the second derivative of 7*r**3\/2 + 9*r**2\/2 + 8748*r. Let t(a) = -5*a - 2. Determine l*z(s) + 9*t(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -262, -378, -494?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 9) to base 13.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3611397 - -17?\nAnswer: 3611414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3145922554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 7) in base 4?\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a - y, -5*a = -4*a + 5*y - 17. Suppose -3*u + 8 = -a. Suppose u*v + 12 - 2 = 0. Let l(j) = -j - 2. Determine l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114710981677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, 3, 203\/4, 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 4, -6, -3 in increasing order.\nAnswer: -6, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 + 20\/70. Suppose h = g + 3*n + n - 113, -n = -1. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-3)\/1 + 1). What is the closest to 2\/3 in 0.2, f, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -913263*r**4 - 1092803*r**2 wrt r.\nAnswer: -21918312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + -1 + (-4 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55801 is divided by 147.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**9*z*z)\/z*z)\/z*z)**41*(z**(-24)*z)\/(z\/(z*z\/(z\/(z\/(z*z\/z**(1\/5))))*z)) assuming z is positive.\nAnswer: z**(2141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**3 + 3*a**2 + 26. Let x be v(13). Let f = x + -9792. What is f rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - 0.7. Let y = -4.9 + m. Let f = -25343\/20 - -5067\/4. Put y, f, -1, -3\/2 in descending order.\nAnswer: f, -1, -3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 978 a factor of 24256257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119146 + 203042. Let p = 83896.064963 - s. Let f = -0.065 + p. What is f rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -51, -84, -121, -162, -207, -256?\n\"Answer: -2*f**2 - 23*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 343, 332, 317, 298, 275, 248?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -32 + 14 - 147*r + 16. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1604 = -33*p + 29*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12\/5 - -8\/5. Let y be (-6)\/21*266\/(-570). What is the nearest to d in -1, -2, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-38)\/7 - 3\/7. Let j be (0 + (-3)\/n)\/((-3)\/72). What is the greatest common divisor of 18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-4)\/12)\/(18\/(-4)). Let k = 16 + -16.2. What is the nearest to 1 in 4, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205296 divided by -6.\nAnswer: 34216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*x - 29 = 0, 29 - 9 = 2*d - 4*x. Solve 0*o - 8 = 5*g - d*o, 0 = -4*g + 3*o - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 3 + 0*k**4 + 0*k + 0*k**3 + 1\/60*k**5 + 19\/2*k**2. Let m(d) be the second derivative of n(d). Let a(v) = 2*v. Give m(a(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) 2 (c) -5 (d) -0.0588\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -60*i - 244. What is the remainder when 477 is divided by a(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 24 = 0. Suppose 0 + j = 2*w. Solve 0 = -2*m - w - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 4*c + 2. Let l be a(-4). Suppose -5*v + l*k - 6*k = 15, -4*k = 0. Let y(b) = -11*b + 49. Let t be y(4). Sort v, 4, t in increasing order.\nAnswer: v, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-2)\/6)\/((-1)\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835) + 3*sqrt(2835))\/sqrt(5).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c - 191. Let b be l(-14). What is the nearest to 0.05 in b, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397860501 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-81)\/12)\/(3\/(-32)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/3)\/(-3 + (-56244)\/(-18756))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 - 335*s**2 + 20685*s - 240345 = 0.\nAnswer: -109, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 5*r. Let x be w(7). Suppose 2*i = -5*n - x, i - 4*n = n + 23. Suppose -i*g + 12 = -g. Calculate the greatest common divisor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2237 + 2236.999994318. What is y rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 21. Sort 1\/3, f, 3, 0.2.\nAnswer: f, 0.2, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2 - 2950*s + 17772 = 0.\nAnswer: -1481, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2\/7 (b) -4\/17 (c) 5 (d) 5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 103. Suppose -w = 2*y - 13, -3*y = -1 - d. Calculate the greatest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 115, 329, 775, 1531?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5235 + -5186.07. Let g = 0.93 - i. Let j = -47.954 - g. Round j to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 6*q**2 - 3.\nAnswer: -3*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0744616 and 291055319.\nAnswer: 291055318.9255384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 706 - 704. What is the nearest to 1 in -0.1, -0.4, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6003081*c**4 + 6713705 wrt c.\nAnswer: -24012324*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 52, 2\/11, -608\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 4.99. Which is the nearest to 8? (a) -5 (b) z (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1675.2.\nAnswer: -1675.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 811394061 in decreasing order.\nAnswer: 811394061, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 25*q. Let w(j) = 0*j + 3 + 2*j + 0*j - 3. Give k(w(x)).\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/883?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 - 10 = 0. Let t(c) = c**3 + 8*c**2 + c - 2. Let w be t(g). What is the highest common divisor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 17. Let p(w) = 3 - 5*w + 3 - 3*w + 9*w. Let f(m) = 6*k(m) + 17*p(m). Let z(b) = 7*b**2 + 3*b**2 - 3*b**2 - b**2. What is z(f(h))?\nAnswer: 150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 4, -6, 6.\nAnswer: -6, -0.2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = 62*m - 121 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 - -0.14. What is the closest to -1 in c, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-10)*o*o\/(o**(-1\/6)*o) assuming o is positive.\nAnswer: o**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 2*d, x - 3*d - 9 = 2*x. Let a = x + 4. Let n = 12 - a. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -826 >= -825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3*z**2 + 6*z**2)*(-3*z + 5*z - 4*z) + (0 - 3 + 4)*(4*z**3 - 7*z**3 + 0*z**3 + (3*z - 2*z - 2*z)*(3*z**2 - z**2 - 3*z**2)).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + -1.91. Let u = 22.6 + -3.3. Let p = u + -19. What is the nearest to 1 in p, 5, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -28, -56, -96, -148?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuuz when four letters picked without replacement from uuzzzu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - x + 9 = 0, 3*x - 6 - 18 = -5*t. Suppose -6 = -0*b + t*b, 3*r + 2*b - 44 = 0. Let v = r + -8. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 - 4 - (-10 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875\/173584 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 650, 721, 854, 1079, 1426, 1925, 2606?\n\"Answer: 5*i**3 + i**2 + 33*i + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 34737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-4669))\/(62\/93). Is g greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/14 + 6\/7. Let x = -80 + 85. Which is the second smallest value? (a) q (b) x (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-9 - 2)) + (-5 - (-4 - -1)) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgpogjwgggiogwppppgj. Give prob of sequence ij.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-10)\/12*4*3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + (-2)\/(42\/(-133)). What is the closest to w in 2, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:12 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**4\/24 + s**3\/6 + 4*s**2. What is the units digit of w(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 40*c - 9. Let x be i(-13). Let q = 11 - 3. Solve x = 3*d - q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002381625 to 6 dps.\nAnswer: 0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -58*c + 150. Calculate k(4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from kkcklcclkc?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189156934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, w: 3}. Give prob of sequence wwee.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*u + 538, -2*b = 3*b - 4*u - 657. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 91\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -30) + (0 - (2 + 1 - -3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t**(1\/4))\/(t**0*t**(-8\/3)*t))\/((t\/(t**0*t*t))**(24\/5))**(4\/23) assuming t is positive.\nAnswer: t**(7937\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) + 80\/36. Let h(r) = 3*r - 9. Suppose 3*s - 4*t - 4 - 4 = 0, 4*t - 48 = -4*s. Let q be h(s). Solve -o*x - x = -q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (49 + -45 - 1\/(-2)). Let j = 0 + -4. Which is the nearest to t? (a) 0.2 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.8, -14.26, -0.01 in increasing order.\nAnswer: -14.26, -0.01, 11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234028)\/(-5708)*72\/41?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2028, -2003, -1978?\n\"Answer: 25*y - 2053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:39 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/2*(-3)\/6. Let k = 70 + -68. Put -5, u, k, -2 in ascending order.\nAnswer: -5, u, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 460, 1127, 2116, 3457?\nAnswer: 5180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1258*v = -1182*v + 8393440. Round v to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204455569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + m - 15 = 6*m, -3*h + 1 = -5*m. Let l be ((-1)\/(-2))\/(2\/(-20)). Let i = l + h. What is the smallest common multiple of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmimim. What is prob of picking 1 i and 3 m?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 2.49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-6)\/(-9)). Let o be (-3)\/(-6)*0\/x. Suppose 5*h - 2*w - 6 - 7 = 0, o = -4*h + 3*w + 9. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 13, -0.12, 0.49, -287?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 22 = -4*l, -2*b = l + l + 2. Suppose 3*f - 126 = -3*v, v + b*v - 168 = -4*f. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526274 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b + 7. Let j be w(-4). Let f = j + 60. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 367*y**2 + 3364*y - 7525. Calculate l(-376).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8 - 4\/(32\/(-2308)). Suppose 17*w - 5*w = q. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/12 - -3 - 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(11) + sqrt(55)\/sqrt(5)))\/(sqrt(72)*3).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/(v\/(v*v**(-2)\/v)))\/v)*v*v\/(v**(-17)\/v) assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422344 (base 5) to base 16.\nAnswer: 3713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**4 - 208664*k**3*v**3 + 3*k**2*v - 1436227*k*v**3 + k*v**2 wrt k?\nAnswer: 72*k**2 - 1251984*k*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z**2 + 14*z**2 + 18*z**2 - 9*z**3 + 0*z**3 = 0. What is z?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -85*l - 4. Let r be u(-4). Suppose -r = -2*x - 5*x. Suppose -24 = -6*a + x. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1332 and -13.\nAnswer: -17316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - z = -0*z - 72, 0 = -2*v + 5*z - 15. Is (22\/(-5) + 2)*v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 484559 and 302?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -414*a**2*g*r + 4*a**2*k + a**2*r + 729*a*k*r**2 + 2*g*k*r**2 - 7*g*k*r wrt g.\nAnswer: -414*a**2*r + 2*k*r**2 - 7*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 49 = -10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-3))**(-7\/4)*(b**(2\/3))**(12\/13)*(b*b*b**(-1)*b)**23 assuming b is positive.\nAnswer: b**(939\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-12)\/(-2) + -3). Let m be -22 + -1*(2 - k). Is 20*(1 - m\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + o = -0*p + 8, -o = 0. Which is the biggest value? (a) 3 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 27*d - 3. Let m be f(-22). Solve 79 = 7*b + m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let p(u) = 2*u. Let j(q) = 3*d(q) + 5*p(q). Calculate j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 48786903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.63177t to grams.\nAnswer: 16631770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 187.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6244850 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 261, 389?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 2*c**4\/3 + 7*c**3\/6 + c**2 - 6*c. Let w be v(5). Suppose 0*q + 93 = d - 4*q, 3*d + 2*q - w = 0. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -59*l - 9847. Give o(-164).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-235 + (-1 - -5))*(-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:18 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-70))\/((2\/1)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 615238?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539 divided by 16.\nAnswer: -539\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 22\/10 - (-33)\/(-90)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58\/13 - 601\/91. Let f(u) = -u**3 + 4*u**2 - 4*u + 2. Let m be f(2). Calculate the common denominator of y and m + ((-825)\/24)\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 952, 19447, 50280, 93457, 148984, 216867, 297112, 389725?\n\"Answer: o**3 + 6163*o**2 - o - 5211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 189\/35 + (-16113)\/(-655)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f = -0*f - 8, -3*f + 3 = 0. Suppose -144 = -z*j + 14. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3802145.\nAnswer: 5, 101, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -375\/43 (b) -4 (c) -2\/13 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10520*o**2 + 8*o + 134. Let m(g) = -2104*g**2 - 2*g - 27. Let b(x) = -16*m(x) - 3*w(x). Find the second derivative of b(c) wrt c.\nAnswer: 4208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.26 (b) -1\/3 (c) 3\/5 (d) -7\/33 (e) -16 (f) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*(-45)\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.183 - 0.317. Sort t, 2\/13, 0.11, 1 in decreasing order.\nAnswer: 1, 2\/13, 0.11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3340 and 2444774763.\nAnswer: 2444771423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(16)\/sqrt(4)))\/sqrt(3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let s = v + 4. Suppose t + 4 = 5*x, 74 + 26 = s*t + 5*x. Solve -w - 5*d = -t, -3*w = 6*d - 2*d - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**4 + 2*z**4 + 14 - 5*z**4 + 5*z**4 wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2956299780 to the nearest 1000000.\nAnswer: 2956000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 56 = -4*v, 11*t = 13*t. Does v = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -117. Let j = 10 + -8. Find the third derivative of -7*h**6 - 13*h**j + i*h**2 - 16*h**2 wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 704\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:56 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5\/11 - 6*q**4 - 46*q**3\/11 + 190*q**2\/11 + 234*q\/11 + 68\/11 = 0.\nAnswer: -1, -1\/2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1378 (b) 1\/2 (c) -1\/3530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171?\nAnswer: 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i, 2*i - 4 = -a + 6. Suppose -34*m + 35*m - 12 = -y, 5*y = 0. Suppose -5*g + 4*p = a - 33, -3*p - m = -g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 5 - 5*r**2 + 2*r**2 - 4*r as l + k*r + u*r**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51 - -95bb3?\nAnswer: 95b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110630 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -62220*g**2. Let d(m) = 11*m + 7. What is d(r(f))?\nAnswer: -684420*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.79 and 15.\nAnswer: 15.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in 0.1, -3\/19, -2\/21?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n - 10611 = -8027 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v + 11706 + 53 + 1819 = 0. Do v and 1982\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9504?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 + -1 - (1 + (-16)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -399, -753, -1107?\n\"Answer: -354*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**4 + 0*c**3)*(-21*c + 8*c - 1 + 49*c).\nAnswer: 36*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/10113?\nAnswer: -2\/10113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 15*h + 812 = 0. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(1323)\/sqrt(9)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 7812*a**5 - 148425*a**4 + 343671*a**3 + 500100*a**2 + 192*a = 0.\nAnswer: -1, -1\/2604, 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 2*n)*(10*n**2 + 34*n**2 - 6*n**2)*(-2*n**2 - 3 + 1 + 1).\nAnswer: 76*n**5 + 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 502298478 and 3762.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/1156 - ((-14)\/(-35) - 4793\/12495)*-4\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146.212mm in kilometers?\nAnswer: 0.004146212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -255386 divided by 298?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002747 (base 8) in base 3?\nAnswer: 111101200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 - 52*m**3 + 196*m**2 + 2548*m = 0?\nAnswer: -13, -7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73\/14 - -11\/2. Let n be (-114)\/(-20) + (-2)\/1 + 2. Let u = n + -533\/90. What is the nearest to r in 5, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2918 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3 + 4*v + 1 + 2. Let c(p) = -2*p + p**2 + 2*p. What is c(n(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*g - 4*g + 5*b, 0 = -2*g - b - 40. Let t = g + 26. What is the least common multiple of 2 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 23 = 5*f - 62, 63 = 4*f - t. Suppose -3*c = c - f. Solve 7 = 3*m + i, -c*m - i = -0*m - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0 + 1\/3*u**3 + 0*u**2 + 0*u**5 + 0*u**4 + 3*u - 1\/15*u**6. Find the second derivative of a(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8856 and 6642?\nAnswer: 26568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10671372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (1 - -3) + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, 1 d, and 1 v when four letters picked without replacement from {v: 2, u: 1, t: 1, o: 2, d: 2, j: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 4*z - 4. Let p be h(4). Suppose -45 = -3*t + n + 36, 2*t - 4*n = p. Let x = -16 + t. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.181 in -7\/4, -0.3, -2, -3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffsffffffff. Give prob of picking 4 f.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66025, 65836, 65621, 65374, 65089?\nAnswer: 64760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5587285873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -3600319.\nAnswer: -3600319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1039.01199 + 1039. What is i rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2612*b**2 - 2 + 685*b**4 + 2609*b**2 + 180*b + 305*b wrt b?\nAnswer: 16440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -3*(2 + -1). Suppose -4*b + 35 = -9*b - 2*u, 0 = 3*u - 15. Let d = b - -11. Solve -d*o - 6 = 3*y, w*o + 0*o + 6 = -3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {r: 1, i: 3, v: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1089 = 3696. Suppose -7*k + 3*k + d = -697, d - q = -5*k. Calculate the remainder when (8\/12)\/(4\/k) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000123515 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrnndn. What is prob of sequence ndr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 77 + (-2 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 52?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8011305 is divided by 177?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:46 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k - 25*k - 33*k - 26*k + 114*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*x = -12, -2*h = x - 6*x - 2. Let q be h\/(-14) + 106\/(-371). Solve 4*f - 9*f + 20 = q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - o + 1. Let t be c(-3). Suppose 0*p = -t*p + 1820. Let s = p + -116. What is the remainder when 118 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2243154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 5836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 144*d**3 - 396*d**2 - 16*d + 528.\nAnswer: -4*(d - 33)*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -643?\nAnswer: -63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 14925 in descending order.\nAnswer: 14925, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8) + -2*3\/(-24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/94821, -0.09, -13?\nAnswer: -2\/94821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 825448092011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 776*n - 23301. Determine g(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521599.\nAnswer: 13, 40123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 9*a**2 - 12*a - 10. Let t be w(-4). Suppose -25*u + t*u = -3*n + 996, 0 = -n - u + 338. What are the prime factors of n?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 6*o**3 + 2*o**3 + 2*o**3 - o + o + 1 - 1 - o**3 + 2*o**3 - 2 + 2 + (-1 + 2*o**2 + 1)*(3*o - 4*o + 3*o))*(5*o**2 - 2*o - o - 4*o**2).\nAnswer: 5*o**5 - 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5625 and 164054475?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + y**5 - 3*y**3 + 3*y**4 + 3*y**5 - 3*y**4 + (-6*y + 6*y - 3*y**4)*(y - 4*y + y).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 37a5?\nAnswer: 3813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15)*13\/13. Let m = 239\/3 + -79. Which is the closest to m? (a) g (b) -2\/5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -99\/310 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 - -52. Suppose -5*n = 5*y - 649 - d, -4*y - 5*n = -648. Suppose 0 = v - 4, v + 27 + 5 = 2*l. Calculate the highest common factor of y and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 4, -5, 5 in decreasing order.\nAnswer: 5, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 52890900 and 0.005?\nAnswer: 52890899.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**3\/2 - 5*i**2\/2 + 7*i. Calculate v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3087 - 3089) + 1 + 0 + 1 + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807699486?\nAnswer: 2, 3, 11, 12237871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + -27 + (54 - 3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.35\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, g: 1}. Give prob of sequence pf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 424833*i - 18267832. What is h(43)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 6, l: 4, j: 2, q: 4}. What is prob of picking 2 y and 1 j?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 185, -389, -965, -1543, -2123, -2705?\n\"Answer: -p**2 - 571*p + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144300492989276794484159\/2585520 - -55811014027851209. Let y = 14884\/32319 + u. Let x = y + -5052. Calculate the common denominator of x and -25\/22.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 528, 783, 1038, 1293, 1548?\nAnswer: 1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/30 - k**5\/5 + k**4\/12 + 2*k**3\/3 + 26*k. Factor f(t).\nAnswer: -t*(t - 1)*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -2\/27*i**5 - 3*i**2 + 0*i - 2\/27*i**3 + 0 - 13\/108*i**4. Factor o(m).\nAnswer: -2*(4*m + 1)*(5*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11321061 to the nearest integer?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -220 + 2 - (2 + (-20)\/5). Let z = p + 468. What is the highest common divisor of z and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.826877 to three dps.\nAnswer: 0.827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*y + 629*y - 8617 - 665 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from uxrrejx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18854927 or -1?\nAnswer: 18854927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -272 * 241\nAnswer: -65552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*-72*(-20)\/7. Let c = -595 + f. Calculate the lowest common multiple of (-4)\/18 + c\/117 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 23. Suppose -2*d + 5 + 1 = -5*w, -d - 7 = -5*w. What is the remainder when x is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -107675?\nAnswer: -107675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 + 13*z**2 - 2*z**2)*(27 - 5 - 4) in the form x*z**2 + l*z + s and give x.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 547*b - 17*b**2 + 6*b**2 - 546*b. Give r(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -855*((-728)\/21)\/(-8)*(8 + -9) is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408168755 to the power of 1\/2, to the nearest integer?\nAnswer: 20203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, 1345, 3714, 7037, 11320?\n\"Answer: m**3 + 468*m**2 + 10*m - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 3. Calculate the remainder when 8 is divided by y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.424, 9\/116, -3 in increasing order.\nAnswer: -3, -1.424, 9\/116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - (-4805)\/45. Let u = b - 91. Let w be (23\/6 + u\/(-48))*2. Let k(r) = -r. Calculate k(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 32, -8, -48?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 1, 5\/2, -0.5, -2483, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-91152)\/28485)\/((-40)\/(-2))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44 + -46 - (3 + -2 + -7). Let w(c) = 10*c**2 + 1. Let k be w(-2). Solve z**3 - s*z**3 + k*z**5 - 38*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1 + 1. Let c(z) be the second derivative of z**3 - 5\/12*z**4 - 3\/2*z**2 + 1\/20*z**5 + a - 2*z. Determine c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5\/6, -4, 11?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.08 - -5.92. Which is the third biggest value? (a) 2\/15 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101010 - 1011000001?\nAnswer: 10101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -17 + 18 - 4\/(-1). Solve 3*j = 2*j - k*v + 13, 0 = -2*j + 3*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.71 - -0.29. Let a = q + -12.8. Let v be 6\/(-2)*3\/6. What is the nearest to -0.1 in a, v, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 133880183325 and -1.16.\nAnswer: 133880183323.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 9*p**2 - 949*p - 8572. Give v(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6302, -6310, -6318, -6326?\n\"Answer: -8*g - 6294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149.3919 + 2.1219. Let h = b - -148. Round h to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-9 - 8154\/(-453). Solve 38*d - d + 111 = o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -6\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*3\/((-9)\/9)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 7*k**2 + 10*k - 12. Let a be g(8). Let h = -1855\/4 + 482. Calculate the common denominator of 65\/a + (1 - 1) and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(-15) - (-6)\/(-10). List the prime factors of v\/1 - (-18)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 11 + -16 + -8 + 1 + (-309 - -298)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 3. Let x = 8 - 13. Let b be j(x). What is the derivative of -4 + 2*m**b - m**2 + 3 wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 + -88. Suppose -2*p + 3*t = p - o, -3*t + 155 = 2*p. What is the remainder when p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -2. Let q = y + 3.27. Let d = 0.03 + q. Sort d, -1\/4, -3 in increasing order.\nAnswer: -3, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 18*d - 90. Suppose 3*l = d, -f + 4*f = -5*l + 84. Solve 5*t = 25, 0 = 2*k + 5*t + 6 - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831120599 to the power of 1\/3, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 11\/665, -743 in decreasing order.\nAnswer: 11\/665, -0.4, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*w + 3*x, 9*w + 32 + 4 = -4*x + 45 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2250305 (base 6) to base 14.\nAnswer: 3010d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1342959178325 - -2\nAnswer: -1342959178323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/4 - 393871365*o\/2 + 787742725\/4.\nAnswer: 5*(o - 157548545)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100100110010 (base 2) to base 7.\nAnswer: 156312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/30 - 21*r**2. Let x(j) = 3*j**2 + 5*j. Let q(h) = h**2 + h. Let n(y) = 4*q(y) - 2*x(y). Calculate s(n(f)).\nAnswer: -8*f**4 - 48*f**3 - 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3) - (sqrt(18)\/sqrt(6) - sqrt(3)))*-6 - (sqrt(3) + 4*sqrt(6)\/sqrt(2))).\nAnswer: -33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l + 0*l + (-3*l - l + 2*l)*(5 - 3 + 0) + l - 2*l - 5*l - 3*l + 2*l + 0*l + (-3*l + 2 - 2)*(3 - 3 + 3).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 541120 - -4?\nAnswer: 541124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 5668?\nAnswer: 22672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 40*f - 148. What is b(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711674270.\nAnswer: 2, 5, 71167427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + 3) + -3.\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5*(-2075)\/332. Let y(f) = -23*f - 9. Let r(j) = 12*j + 5. Calculate s*r(v) + 3*y(v).\nAnswer: -9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m*m**5)**(-47)*((m*m**(-1\/4))\/m)**46\/(m\/(m\/m**5)*m\/(m**5*m)) assuming m is positive.\nAnswer: m**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.183692+674\nAnswer: 673.816308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3311 + 203?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 74*g - 84. Determine f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - 1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 63*d**2 + d - 68. Determine u(63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*j - 5*j - 10*j to the form f + d*j and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 3. Let g be h(6). Suppose -g*x = -5*x + 374. Let v = x - 1311\/7. Is 1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1400)\/sqrt(8))**2.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -291*h - 1452. Give a(6).\nAnswer: -3198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.717907 to 2 dps.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5820 + 8*u**2 - 5820 - 2*u - 23*u**2 to the form l*u + i*u**2 + k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/13))**(2\/67)\/((o*o*(o**(5\/6)\/o)\/o)\/o**(-20)) assuming o is positive.\nAnswer: o**(-108863\/5226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 - u**3 + 4*u**2 + (-3 + 3 - 2*u**3)*(3 - 1 + 0) + 2*u**2 - 2*u**2 + u**3 - u**3 + 5*u**3 - 3*u**3 - 27452*u**3 - 40831*u**3 + 86103*u**3.\nAnswer: 17817*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59.083522888+5.5\nAnswer: 64.583522888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 26*z + 7. Let j be x(-14). Suppose 95 = 3*p - 2*w - 17, -5*p + w + j = 0. Suppose -2*d = -s - 57 - p, -3*s - 81 = -2*d. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16983, -33291, -49599, -65907, -82215?\n\"Answer: -16308*o - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ecf8 - a?\nAnswer: -3ed02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*w*(w*w*(w*w**(1\/3))\/w*w)\/w*w*w)\/w)\/w)**26*(w*w**(-2\/7))**33)\/(w**(-1\/2)*w**3)**(1\/41) assuming w is positive.\nAnswer: w**(279269\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*f**2 + 168*f**2 - 82*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*f - 2148*f**2 + 2155*f**2 - 71*f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165432825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 - 4.82. Let k = o - -0.12. Let f = -10 - k. Which is the second biggest value? (a) f (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/376 in 8\/9, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 142 = 3*x, 0 = -3*x + 3*h - 139 - 38. Let t = x + 56. What is the nearest to -0.1 in -0.1, -1\/6, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(224) + (sqrt(224) + sqrt(224) + sqrt(224) + sqrt(224)*1)*-5)\/(sqrt(1008)*2))**2.\nAnswer: 361\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -418*a - 169. What is the hundreds digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4 + 4 - 23*y. Let v(l) = -l**2 + 13*l + 1. Let c(i) = 4*i**2 - 65*i - 5. Let o(f) = 2*c(f) + 10*v(f). What is b(o(j))?\nAnswer: 46*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6565627 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.8 + -36. What is the smallest value in 0.4, 2\/19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2)*2*-5)**2*-4 - (-5 + -6*5*sqrt(6)\/sqrt(3)).\nAnswer: -799 - 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 3*v**2 - 2*v**3 + 9*v**2 + (-4*v + 4*v - 2*v)*(-2*v + 2*v + v**2).\nAnswer: -4*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 2630 - 2642. Let n = 12 - 5. Suppose -3*c - 2*r = n, 0 = -2*c + r - 2*r - 3. What is the highest common factor of o and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2040232 (base 5) to base 8\nAnswer: 102031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 1\/3, -3, -8\/25, 0.03, 1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 2*f + 1. Let g be v(-3). Suppose -3*o = 8*l - 3*l - 27, g*o = 3*l + 7. Factor 4*w**o + 2*w**5 - 6*w**4 - 2*w**2 - 4*w**4 + 3*w**3 + 3*w**3.\nAnswer: 2*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c + 2. Suppose -2*o + 4*n = c*o - 36, 0 = -5*o - 4*n + 36. Let i be ((-12)\/o + 1)*-4. Solve -3*y - 2*m - 1 = 7, -3*m + 1 = -i*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 10:32 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - -81. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 112 = 4*w. Let b be (-3)\/((-63)\/6) + (-250)\/(-7). Let h = w - b. What is the smallest common multiple of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 divided by 546?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 10144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29749 and 6563.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 0.2 (c) -14\/517 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13009.\nAnswer: 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**5 - 11*b**3 - 13*b**3 + 22*b**3 - 5*b - 3 wrt b?\nAnswer: -120*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3288*b = -3290*b + 102. Let k(t) = -t**3 + 4*t**2 - 6*t - 1. Calculate the remainder when k(-4) is divided by b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 91 + 119577*k + 29 + 31.\nAnswer: 119577*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.034 - 0.034. Let w = v - 50. Let g = 16 + w. Which is the third biggest value? (a) g (b) -8 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174065341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*6*(-7)\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iit when three letters picked without replacement from ixjixtiii?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 325815 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -220. Let q = h - 150. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 2. Let d(x) = -4*x - 3. Let h(c) = c - 4. Let q be h(6). Suppose q = 2*s - 4. Determine s*o(t) - 2*d(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14161\/(-4))\/(10\/8). Let i = g + 2844. Let s = i - 56\/5. Which is the nearest to -1? (a) s (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110101 + -1110000011101001?\nAnswer: -1110001100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -80347*15\nAnswer: -1205205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g**2 + 0*g)*(-2 - 2 + 2) - g**2 - 1 + 1 + (2*g + 3*g - 3*g)*(g - 9*g - 5*g).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4, -3*p + 6850 = 4*f + 948. Suppose 334 = -4*c + f. Is c a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awawwwwwaw. Give prob of sequence waw.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -590*j - 1286. What is t(-5)?\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1059 - 40*u**2 - 1059. Let n(w) be the first derivative of w**3\/3 + 103. Calculate b(n(d)).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 4509.3.\nAnswer: 5862.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 584*b - 103 - 4 in the form v + s*b and give s.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwjw when four letters picked without replacement from {w: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 32 = 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + 1 + (2 + 1 - 4) + -860 + 850.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 6 = -7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2119, -2108, -2097?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14651 = 13*s - 19812. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 59*n**2\/2 + 223*n - 11596. Let t(p) = 2*p**2. Determine l(t(d)).\nAnswer: 118*d**2 + 223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -7)\/(2\/(-4)). Suppose 5*p = 8 + 17, 107 = -h*j - 5*p. Let a = j + 64. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 255 - 251. What are the prime factors of -1 + (-2 + r - -686)?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4464? (a) -5 (b) -1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*h = -2, 4*y - 2*h = h + 3. Solve -5*o - 2*u + 5 = y, -10 = -2*o + 3*u + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 199100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176082307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-416)\/(-65) - (-2)\/(-5). Suppose 0 = -2*a + d + 26. Let u(w) = 5*w**2 + 2*w. Let r be u(-2). Calculate the highest common factor of a and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65129 is divided by 10850?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 2*q + 6, b + 0*q + q + 5 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 1\/80*b**5 - 1\/12*b**3 - 1\/48*b**4 + 2 + 0*b**2 - 3*b. Let m(k) be the first derivative of i(k). Factor m(j).\nAnswer: j*(j - 2)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -1.7, 7, -2\/167, 4, -0.1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.41.\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1100, 0, 42, -11, 1, -4 in decreasing order.\nAnswer: 1100, 42, 1, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvvvyvvvvyyyyyyyvyy. What is prob of sequence yvyv?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 696.2046ml in litres?\nAnswer: 0.6962046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8850.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -14. Suppose -s = y - 7. Suppose -8 = -t - t. Solve -13 = -t*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 1789*c**7\/210 - c**6\/120 - 19*c**4\/24 + 2*c**3\/3 - 2065*c**2. What is the second derivative of k(n) wrt n?\nAnswer: 21468*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2. Let j(i) = 3*i**3 - 7*i**2 + 4*i + 2. Let s(g) = j(g) + 4*p(g). Let v be s(-4). What is the units digit of 0 - (v + -7) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0273069 - -0.25\nAnswer: -0.7773069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1474886525, 1474886523, 1474886521, 1474886519, 1474886517?\nAnswer: 1474886515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 770?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 0*k**3 + k**2 - 2*k**3 + 10*k**2.\nAnswer: -2*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 1, 1\/4, 1\/5, -119, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**2 - 8*h**2 + 18*h**2 + (4*h - 5 + 5)*(1 - 1 + h) + 1 - 1 - h**2 - 3*h + 3*h - 2*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*j = 88*j - a - 283, 283 = j - 5*a. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105454478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 43*o - 150. Solve 0*h + q = -4*h - 17, o*h + 18 = q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1573) + -1)*-3 + (((sqrt(117) - sqrt(117)*1)*-4 - sqrt(117))\/((sqrt(72)*-1)\/sqrt(8)))**2.\nAnswer: 16 + 99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 62*v - 114. Let b(r) = r. Let g(p) = -3*b(p) - d(p). Find the first derivative of g(z) wrt z.\nAnswer: -3*z**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 + 120. Let h be c - (5 - 3210) - 5. Suppose h = 5*w - 4*g - 1187, 2*w = -4*g + 1750. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0 - 2. Suppose -3*n = -4*p + 6, 0 = 2*n - p + 1 - a. Suppose n*l + 2*h - 115 = l, 0 = 5*l + 5*h - 550. Does 35 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by ((-132)\/(-8) + 0)*2?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 12591046.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 37803 - 24801 = 0. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 107416.1.\nAnswer: -751912.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 44601724\nAnswer: 1\/22300862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8619 and 3549?\nAnswer: 60333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0673423 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6*18)\/(41\/(23616\/216))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.308 times -5?\nAnswer: -471.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83060, -332215, -747454, -1328771, -2076160, -2989615, -4069130?\nAnswer: -5314699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -249, 4, 1, -4 in ascending order.\nAnswer: -249, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2 + (7 - 3). Let f be 1 + o + (-2 - 0). Solve -f*m - 2*j - 3*j = -3, -5 = 2*m - 3*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - c**2 - 12 + 14 + c**3 + 6 - 9*c**2. Let w be r(9). Is 2\/7 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -14, -53, -92, -131?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890882 is divided by 2382.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-84)\/(-12) - 118)*-1 is divided by 111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9777.855 nanometers to micrometers.\nAnswer: 9.777855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11551098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-140))\/(((-4)\/(-15))\/(-1)) - (-1239)\/(-1298).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.299 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:58 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3 + 36*f - 521*f**2 + 2 + 506*f**2 - 8*f wrt f?\nAnswer: 18*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7081883*r**3 - 1850*r**2 - 94*r + 1 wrt r.\nAnswer: 42491298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*o**3 - 3*o**3 - 74067 + 74064.\nAnswer: 263*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/12 - (-6)\/2. Suppose 14*k - w*k = -1200. Let y be ((-4)\/(-10))\/((-8)\/k). Solve 3 = -v - 3*p, v + 3*v + y = 3*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31424 (base 6) in base 11?\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - 0. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 24. Let p be (c\/9*-3)\/2. Let -2*w**5 - 3*w**2 + 2*w**3 - w**4 + 0*w**4 + 4*w**p + 0*w**4 = 0. What is w?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.13, 0.8, 0.5.\nAnswer: -5, 0.13, 0.5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848298741?\nAnswer: 3, 7, 19, 51031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.976597 millilitres?\nAnswer: 0.009976597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m - 1. Let a(h) be the second derivative of -9*h**5\/20 + 4*h**3\/3 + 4*h**2 - 20*h. Give 5*a(j) + 40*z(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22553*c**3*r**2 + 5*c**2*r**2 - 11*r**2 - 16*r - 20 wrt c?\nAnswer: 67659*c**2*r**2 + 10*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 16, 33, 56?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from maammmm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(9\/189). Suppose f + 5 = j. Suppose -26 = -4*t + 2*v - 8, j = -t - 5*v. Put 1, t, -9 in descending order.\nAnswer: t, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 581717*u + 15 - 79558*u.\nAnswer: 502159*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -4*v + 2*v, -z = -5*v + 14. Suppose 1 = n - c - 6, 0 = -v*n - 2*c - 6. Suppose -n*w = -w, 4*w - 55 = -5*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from aafffkttfkfbtkkffkf?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 9*f - 40. Suppose 5 + 3 = k + 2*g, -4*k = -4*g - f. Let w = 0.4 + 1.6. What is the third biggest value in 1, w, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l - 90. Let z be m(-11). Suppose -z*g + 24*g - 268 = 0. What is the remainder when g is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d - 4. Suppose -2*v + 3*v - d = -x, 2*x - 2 = 5*v. Suppose v = -f + 2*f. Which is greater: -0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -307 + 365. Calculate the remainder when 166 is divided by d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -48*p + 275 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, h: 1, c: 2}. What is prob of sequence lch?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 591 - -17253. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o - 7. Suppose 0 = 3*c - 5*u + 10*u - 3, -u - 15 = -2*c. Let p(i) = 8*i + 6. Give c*n(t) + 7*p(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 483*f**3 + 6*f**2 - 783*f + 2. Let o(d) = 484*d**3 + 9*d**2 - 784*d + 3. Let k(h) = -3*j(h) + 2*o(h). What is the second derivative of k(i) wrt i?\nAnswer: -2886*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5148 and 31122?\nAnswer: 684684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -0.2\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4241440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(39)*-6)\/(3*sqrt(363)).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j - 8. Let b = -7 + 13. Suppose 10*o = 66*o + 3*o - 1062. What is the remainder when o is divided by u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.698002556 - -0.698. Round p to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 42*l - 1. Let i(j) = -3*j**2 + 42*j - 1. Let s(q) = 4*d(q) - 3*i(q). Differentiate s(n) with respect to n.\nAnswer: 2*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 3*o**2)*(3*o**2 - 227*o + 1 + 227*o).\nAnswer: 6*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 7 (c) 3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2803, -5600, -8393, -11182, -13967, -16748, -19525?\nAnswer: -22298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 62. Let k(d) = 30. Let y be (-40)\/25 + 7\/(35\/(-2)). Let w(a) = y*l(a) + 5*k(a). Determine w(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316*n + 6130*n - 826506 = 0 for n.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243.5, 1\/3, -2, 1.\nAnswer: -2, 1\/3, 1, 243.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y**5\/3 - 464*y**4\/3 + 64282*y**3 + 14002532*y**2\/3 + 5570128*y\/3 = 0.\nAnswer: -97, -2\/5, 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (1 + 1)\/(-2). Suppose -4*n + 77 = -a - 36, p*a = -20. Let v = n + -11. Calculate the remainder when 31 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 2*i + 1. Suppose -12 = -0*c - 4*c. Determine m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1041 and 260597?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 17, 20, 7, -28, -91, -188, -325?\n\"Answer: -r**3 + r**2 + 17*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7980 divided by -2\nAnswer: -3990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -4 - (-8 + -4 + 0) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100321111 - 0?\nAnswer: -1100321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 i when four letters picked without replacement from {w: 1, i: 13, q: 3, m: 2}.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 418420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(90)\/(sqrt(9)*-1))\/sqrt(2) + -4*(sqrt(5) - -2*sqrt(80)).\nAnswer: -34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121321013003 (base 4) to base 13.\nAnswer: -15385b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155 + 436*c**4 + 3415*c + 119 + 688*c**4 - 3416*c + 106*c**4 wrt c.\nAnswer: 14760*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {v: 1, i: 1, l: 2, b: 2, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, g: 2, t: 9, e: 2}. What is prob of sequence te?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaq when three letters picked without replacement from {q: 2, o: 3, w: 5, x: 1, s: 2, a: 7}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, w: 1, x: 1, d: 4, e: 1, a: 4}. Give prob of picking 1 a, 2 d, and 1 e.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 51. Let p(i) = i**2. Suppose -4*j = 3*g - 1 - 6, -5*g + j - 19 = 0. Let v(z) = g*p(z) - k(z). Does 17 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 64 = 67. What are the prime factors of u\/3 + (-44422)\/(-114)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160272999 and 2499384?\nAnswer: 1282183992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/22)\/(158\/(-869))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.6 - 40.6. Let t = 11 + 7. Which is the closest to t? (a) -1\/7 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m)\/(m\/(m**(-1\/5)*m)))**(-14) assuming m is positive.\nAnswer: m**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21399 + -1?\nAnswer: 21398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 11*j**2 - 16*j - 3. Determine i(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/9 - 4*d**3 + 178*d**2\/9 - 16*d - 40 = 0.\nAnswer: -1, 3, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354 greater than 25267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2 and ((-195)\/26)\/(27\/(-19))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) 2 (c) 4 (d) -2.9 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = -20. Let i(o) = 5*o. Suppose 94 = 5*s - 4*v, 3*s - 4*v = 29 + 29. Let a(u) = -u. Calculate m*i(d) + s*a(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4705 divided by -735?\nAnswer: -941\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 279\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/26574 and 53\/3912?\nAnswer: 17326248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43 - (7 + -3 - 1). Let u = -2 - -2. Suppose 0 = 3*z + 4*t - 70 - u, q = 2*z + t. What is the lowest common multiple of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 425*h**4\/6 - 756*h. Let u(c) = -c. What is u(y(l))?\nAnswer: -850*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, -4, -11, 226, -2 in decreasing order.\nAnswer: 226, 4, 3, -1, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 4 = i - x, 0 = -x + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133652 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (9\/(-6))\/(3\/(-10)) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 0, 0 = -6*n + n - 2*r + 31855. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 10) in base 6?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 6*p**2 - 25)*(2*p**2 - 2*p**2 - p**2) as k + y*p**4 + f*p**3 + r*p**2 + v*p and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286977 + 286985. Let i = 6 - 1. Solve i = k*z - 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 0.7, -0.05 in descending order.\nAnswer: 0.7, 0, -0.05, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.5. Let i = -4885\/4 + 1208. Let f = -107\/8 - i. Sort f, -2, c in increasing order.\nAnswer: -2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from uucuchjlhhcchjuhhuc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380 (base 12) to base 6.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f + 12*f**2 + 47*f + 2*f - 3*f**2 in the form m*f**2 + q*f + i and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**7\/147 - n**5\/35 + n**3\/21 + 9*n. Factor m(b).\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3, 0 = 5*a - 0*i - i - 164. What is the greatest common factor of 93 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -392*n + 1038. Give q(13).\nAnswer: -4058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 1773*w - 1177*w - 1063*w + 11 + 20.\nAnswer: -3*w**2 - 4013*w + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -173*(-3)\/(-27) - (-64)\/288?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22429 - 20184 = -2178*z - 21560 + 26863 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -81, -135, -193, -249, -297, -331?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149087 is divided by 545.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*2)\/(-6*1*sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -26319*f + 78961. Determine m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/4)\/((-49)\/(-490)*-25)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -0.113\nAnswer: 0.1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 - 5*q**4 - 1359*q**3 + 141074*q?\nAnswer: -40*q**3 - 60*q**2 - 8154*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 18 + 28 + p - 34. Let j be g(16). Suppose j*z = 30*z - 60. What is the highest common factor of z and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(-12)*16\/(512\/72)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s**2 - 28761 + 28851 + 2*s**3 - s**2 to the form a*s + j + r*s**3 + k*s**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154681079 times -0.4?\nAnswer: -61872431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -46\/9 (c) -4\/7 (d) -3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 176196*l + 2587085868.\nAnswer: 3*(l - 29366)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 12*a**2 - 9*a - 122. Give p(-10).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66625698*a**2 - 5997552 with respect to a.\nAnswer: 133251396*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - ((1 - 4) + 6). Let t(l) = 4*l**2 + 7*l + 7. Let x be t(w). Suppose -x + 12 = -3*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z - 1 + 4 + 6 - 4 in the form k + m*z and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3768, -3796, -3824, -3852?\n\"Answer: -28*n - 3740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 175, 614, 1337, 2344, 3635, 5210, 7069?\n\"Answer: 142*d**2 + 13*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -4*s**3\/3 + s**2 + 3*s - 4. Let h(y) = -y**2 - y + 1. Let n(p) = -g(p) - 2*h(p). What is the derivative of n(u) wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -65 - 26 - 18 - -50.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431598086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/8 - 971064*c**2 + 46610991*c\/8 - 34958223\/4.\nAnswer: 3*(c - 2589498)*(c - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 33*g + 273. Give w(39).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -50*h + 89. Solve -2*y - 48*u - 10 = -43*u, -4*y - h*u - 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12037\/2 - 4818. Let m = f + -1179. Calculate the common denominator of m and 11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 4 + 20. Let a be (12\/(-10))\/(z\/(-10)). Suppose -5*r - 4*v = -113, -14 + 88 = 4*r - 5*v. Solve -m + 13 = 4*c - 3, a*c + 3*m = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/112*(-28)\/3. Let h(r) be the third derivative of 0*r + 0 - 1\/12*r**4 - s*r**3 - 2*r**2. What is h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 634 + -574. Calculate the least common multiple of a and 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1073 + (-153)\/45 + (-4)\/(-10). Let k = v - 763. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:32 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -291\/5. Sort -3, c, 5, 1 in decreasing order.\nAnswer: 5, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 555*t - 560.\nAnswer: 5*(t - 112)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -27834.75556 to zero dps.\nAnswer: -27835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2127*h**2*n*y - h**2*n - 333*h**2 - 37*h*n*y - 3*h*n - 3*h*y + 2*h + 29*n*y - 6*y wrt h.\nAnswer: 4254*n*y - 2*n - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -150 + -3?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/207697 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13991a1 (base 11) in base 15?\nAnswer: 325ace","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y + 1. Let d(i) = -i**3 + i**2 + 4*i - 3. Let g(k) = d(k) + 4*p(k). Is 10 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 256*q - 1493. Determine t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 30 - 6 = 4*h, h + 9 = 2*g. Let o be 7 + h - (-2 + -2). Find v, given that v**o + 3\/4*v - 1\/4 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1291, 3 in ascending order.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + (-22 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 26*a = 4896. Let g = -183 - a. What are the prime factors of g?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2149c5 - 3?\nAnswer: -a2149c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/27 - 1\/(-12). Let j = 10 + -5. Let g = -12 + 7. Which is the closest to -2\/11? (a) g (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+74251\nAnswer: 74249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/150 - 7*m**4\/3 - 139*m**3\/15 - 137*m**2 - 1. Factor d(t).\nAnswer: -2*(t + 1)*(t + 139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*a + 231 = -5*a - 359 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 8549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) -1\/4 (c) 0.36 (d) 3 (e) 3511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Suppose 4*c + 5*p - 485 = 0, -c + p - 5*p + 135 = 0. Let m = c + -1033\/9. What is the closest to 1 in -2, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3193 + 3336. What is the least common multiple of d and 484?\nAnswer: 6292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 193, 4, -4 in descending order.\nAnswer: 193, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16 = 5*x. Calculate the remainder when 14 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*f + 99669 = 0, 2*f + 3 = -3. Suppose -9*x = -v + 5181. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/50244 and 25\/3801796.\nAnswer: 11405388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 9*p**2 - 18*p + 42. What is the hundreds digit of g(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - i)*(i**2 + i**2 - 2 + 631*i - 636*i) in the form m + x*i + u*i**2 + j*i**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 - 3. Let l be ((-1134)\/4032)\/(3\/8). Which is the second smallest value? (a) y (b) -0.09 (c) 5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 24 = -12*v. Suppose 2*m - v + 14 = 0, 3*m = -3*o. Suppose 0 = 5*w - o*f, -w - 2*f = -0*f. Solve z + w - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 2*n**2 + 3*n + 3. Let x be r(-3). Suppose -4*k + 11 = 2*q + x, -2 = -q - k. Suppose -3*c = -q*c - 42. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17077, -17088, -17099, -17110, -17121?\nAnswer: -17132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4*r + 4334*c**3*r**2 - 4*c*r**2 - 2*c*r - 573*r**2 wrt c.\nAnswer: 24*c**2*r + 26004*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -410*k - 70. Let j be x(-4). Factor 16*q**3 - j*q + 40 - 4*q**4 + 72*q**2 + 1650*q - 12.\nAnswer: -4*(q - 7)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16710 or -16712?\nAnswer: -16710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 10. Let o be (-3)\/(-4)*(-10 - -2). Let f be l(o). Let u be 6\/(-27) - (-47)\/9. Solve -5*k = 2*n - 0 + 5, -5*k = f*n + u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*s + 12*s - 147, -4*s - 54 = -2*x. Which is the third biggest value? (a) 4 (b) x (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h + 9. Let s be (-5 - -6)\/(2\/(-18)). Let i(r) = -r + 4. Determine s*i(l) + 4*d(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 d when three letters picked without replacement from {p: 3, d: 2, z: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(176)\/sqrt(72) + sqrt(88)\/sqrt(4)*-2))\/(sqrt(33)\/(sqrt(3) + (sqrt(30)*-2)\/sqrt(10))*-5).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4) + -6 + -4 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 697 and 533.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 3140572 and 3140573 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/((-60)\/700).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1231141 + 3?\nAnswer: -1231133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 18 + v - v**2 - 5*v**2 to the form y*v**2 + o*v + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1608 = -4*c, 20*x = c + 23*x - 402. List the prime factors of c.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66091.279 to the nearest one hundred.\nAnswer: -66100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-10) - (0 + 6\/(-1)). Solve -9 = 2*s + 3*x, -5 = 2*x - g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40798101 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z + 237 + 230 + 103 + 74.\nAnswer: 19*z + 644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6228, -25117, -56606, -100695, -157384, -226673?\n\"Answer: -6300*f**2 + 11*f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g + 0*g + 27*g + 53 + 16*g wrt g.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rokj when four letters picked without replacement from orkjh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 12, -5, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.2 + 11. Let d = 1 + 1. Which is the second biggest value? (a) d (b) -0.04 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -85*v - 1120. Let i(h) = 71*h + 1117. Calculate -6*i(q) - 5*l(q).\nAnswer: -q - 1102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*d = 710*d - 17748 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1583\/3 - ((-34)\/(-6) - 6). Suppose z = 5*q - c, -4*q - 2*c = -0*c - 414. Does 35 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-42086)\/(-77) + -7)*7 is divided by 88?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 906*a**4 - 2442*a**4 - 2800*a**4 + (4*a + a - 4*a)*(3*a**3 + a**3 - 6*a**3) - 2*a**4 + 4*a**4 - 4*a**4 + (-3*a**2 + 4 - 1 - 2)*(-2 + 2 - 2*a**2).\nAnswer: -4334*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = 0, 0 = 3*w - 4*x + 19 - 98. Suppose -w = -10*u + 1. What is the highest common factor of u and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, -4, 51 in ascending order.\nAnswer: -4, -1\/4, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nranrypkpnr. Give prob of sequence yk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 6575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.37+14.2941929\nAnswer: 13.9241929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 907b4 (base 12) to base 8\nAnswer: 556570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = 8*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 593123.\nAnswer: -593123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) + (-1133)\/(-33). Let w = 36 - j. Let t be 0 - 1 - (-5)\/6. What is the biggest value in -3, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 5:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 77779.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Suppose 5*x = -4*v + 26, 4*v - 28 + 6 = -h*x. Find the second derivative of -258 - x*m + 258 + 6*m**2 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5493270 and 8?\nAnswer: 21973080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 + 22*r**2 - 64*r + 418. Determine l(9).\nAnswer: -1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123.4 + -123. Sort 4, -0.01, k in increasing order.\nAnswer: -0.01, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Let i be 16\/(-56) - 16\/(-7). Suppose -5*p = 0, i*z - 4*p - 4 = -2. What is the least common multiple of h and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11103 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5 - 5*b - 2 - 2 + 3*b**2. Let s(n) = 3*n**3 + 38*n**2 - 12*n + 19. Let r be s(-13). Is o(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 430*w - 27956. Determine v(65).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 5.07. Let w = 47.27 - 47. Let m = -0.47 + w. What is the smallest value in m, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 4*o - 5. Calculate n(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 39*a - 14*a - 27*a. Let q(h) = h**2 - 4*h - 8. Let t(f) = -3*f - 7. Let m(u) = 3*q(u) - 4*t(u). What is p(m(k))?\nAnswer: -6*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/67, 0.1.\nAnswer: -5, 2\/67, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -35991922 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*d = 3386, 3*n - 3*d - 2401 - 2702 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-1470)\/9 - (7 + -5)). Let x = 161 - q. Which is the third smallest value? (a) -0.1 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1401 - -146. Calculate the remainder when x is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*y + 488*y = -3808 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6024 is divided by 323.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 1433, 1411, 1391, 1379, 1381, 1403?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1570 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11767, 23534, 35301, 47068, 58835?\n\"Answer: 11767*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3608*f**2*g**2*o - 8160*f**2*g + 3*f*g**2 - f*g + 8*g**2*o**2 with respect to o.\nAnswer: -3608*f**2*g**2 + 16*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/7)\/(u**(-4\/9)*u))**(3\/5) assuming u is positive.\nAnswer: u**(-116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 9*c + 15. What is j(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -2728.\nAnswer: 2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 h when four letters picked without replacement from hyhhyhhhhyhhhhhhhhhy?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 58\/3. Let h be -1 - -1*(2 + 6). Suppose 4*r + 3*v = 3*r - 5, 0 = r + 4*v + h. Are p and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641 - 245 + 24*v**2 - 89 - 313.\nAnswer: 24*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/44)\/(9\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 72\/(-20) - 156\/(-15). List the prime factors of (y + -6)\/(6\/219).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/252*15\/(540\/32).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 6*s + 7. Let r be w(7). Suppose 3*z - 5*z + 46 = r. Calculate the highest common divisor of z and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*l + 71939 = 0, -l + 48042 = 2*c + 6*l. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62, 133, 238, 377, 550, 757, 998?\n\"Answer: 17*f**2 + 20*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + (0 - -4) - (-2034 - -2052)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.05 - -0.05. Let i = -4 - l. Which is the nearest to i? (a) 4\/5 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6746?\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4893 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -98782560 divided by -10860?\nAnswer: 9096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.6037 at least -579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 77 + 74 = -4*u. Let c = 16 + -12. Let x = 6 - c. Sort u, x, 17 in ascending order.\nAnswer: u, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 284 = v, 4*v + 15 = -1. Calculate the remainder when y is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 715 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3459 divide 16184661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*f - 6*f + 2)*(18*f + 15*f - 27*f) to j + m*f + d*f**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -0.2 (c) -4 (d) -1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:31 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*(l*l*l**(8\/5))\/l*l**(3\/5)\/(l\/l**(2\/11)))**(-1\/23) assuming l is positive.\nAnswer: l**(-516\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/20 + 54\/10. Let p = 5232 - 5222. Put 4, p, -1, c in decreasing order.\nAnswer: p, c, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75998585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**3 + 48381*r**2 + 61558*r.\nAnswer: r*(r + 4397)*(11*r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d + 3. Calculate z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 12*a + 22. Let k be r(-12). Calculate the highest common divisor of k and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(3\/(-6)*-2). Suppose 0 = c*g - 17 - 1. Let s(u) = -50*u + 64. Let z be s(1). Solve -2*k + 2 = -4*n - z, -12 = 3*n - g*k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 3, b: 3, h: 6}. Give prob of sequence iuu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112445 (base 13) to base 4.\nAnswer: -1202313311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 18010*c**2 + 12923128*c.\nAnswer: -2*c*(c - 9673)*(c + 668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1 take away -0.0051861?\nAnswer: -5.0948139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-770)*(37 - 7)\/(-6).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -596, -4, -100 in increasing order.\nAnswer: -596, -100, -4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkjnnkn. What is prob of picking 1 n and 1 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 15 + 5*s**4 + 34 - 20 in the form c*s**2 + q*s**3 + z + j*s**4 + b*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 4. Let g(b) = -3 - 2 + 4. Calculate a(u) - 3*g(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 64, -1198 in increasing order.\nAnswer: -1198, 1, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12) - 50\/(-3)) + 1. Calculate the highest common divisor of 187 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 5*x**3 - x**2 + x - 2. Let l be h(1). Let d = -5 + l. Calculate the remainder when 26 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3 - a + 2 + 51*a**2 - 38*a**2. Let o be t(2). Let f = -3 + o. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11067420 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*n*r*w**2 + 2*a**2*n*r + 65*a*n*r**2 + 172037*a*r**2*w**2 - n*r**2 - 6*n*r + 19 wrt w.\nAnswer: 4*a**2*n*r*w + 344074*a*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -25 - (4 + 3 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + z = -14, 5*z - 20 = -5*d. Let k(n) = n**3 - 7*n**2 + 7*n + 18. Let r be k(6). What is the highest common divisor of r and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1089937.\nAnswer: -4\/1089937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u**3 + 99*u**2 - 18*u. Let b(q) = -3*q**3 + 25*q**2 - 4*q. Let j(w) = -18*b(w) + 4*t(w). Factor j(k).\nAnswer: 2*k**2*(k - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 2*g + 10. Let r be z(4). Let j(t) = t**2 + 98*t - 2 - 41*t - r*t. Determine j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*k - 27 = 0, 5*d - k = -6*k - 40. Suppose 3*q = u + 13, -q - 4*u - u + 15 = 0. Put q, d, 0 in increasing order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 2:38 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5*m**4\/4 - m**2 + m - 2. Let r be o(1). What is the third derivative of 5*n**4 - n**2 - 4*n**4 - 3*n**r wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -48. Suppose 2*a = -q + 40, 103 = 5*a - q + 2*q. What is the remainder when a is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.920627 rounded to 2 decimal places?\nAnswer: -16.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 1, f: 6, p: 8}. What is prob of picking 1 p and 1 f?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**3 + 3*a. Let x(u) = u**3 + 1. Calculate -i(p) + 2*x(p).\nAnswer: -8*p**3 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 15*h + 9*w - 4*w, -3*w + 5 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -463*d**5 - 3384*d + 3384*d - d + d - d**5 + (3*d - 2*d + d)*(d - d - d**4) + 3*d**5 + 2*d**5 - 3*d**5 + 2*d**5 - d**3 + d**3.\nAnswer: -462*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - (18 - (-6 - -19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*k - 35*k - 4*g - 20, 3*g = 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}