diff --git "a/data/dm_maths/full_data/11029_11255.jsonl" "b/data/dm_maths/full_data/11029_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11029_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = -342422149\/15 + 1397082295277\/61200. Let y = f + -2\/3825. Calculate the common denominator of 75\/22 and y.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.1 less than 0?\nAnswer: -106.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(14\/3)*i*i**(-34)\/i*(i**3*i)\/i**(15\/7) assuming i is positive.\nAnswer: i**(-577\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by 5?\nAnswer: 234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -57325.1 (b) -2.9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 + -96. Let b = 78 - c. Suppose b*v - 10 = a, 0 = -3*a + 4*v - 6 + 1. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g + g)*((-4*g + 3*g + 0*g)*(-2 + 0 + 0) - 182*g + 455*g + 27*g).\nAnswer: -302*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2 + 11*a - 205. Let n(s) = 5*s + 23. Let x = 18 - 9. Calculate x*j(i) - 4*n(i).\nAnswer: -2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**3 + 5*o + 4. Suppose -4*v - 4*a - 16 = 0, -3*v + 5*v - 2*a = -16. Let t(d) = -23*d**3 - 14*d - 11. What is v*t(s) - 17*i(s)?\nAnswer: 2*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7229682.832 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2337 + -2339. Which is the fourth smallest value? (a) 4\/85 (b) -0.3 (c) -0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1 - 3\/4*f**2 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 95*l**4\/6 + 223*l - 3. Let a(t) = 25*t**2. What is a(y(s))?\nAnswer: 902500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*c + c - 14, -2*n + 2*c = 0. What is the fourth smallest value in 2\/7, 3, n, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 - 55 + 121*d**3 + 18 - 19*d**3 + 82*d**3.\nAnswer: 201*d**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441605047.\nAnswer: 13, 61, 157, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let j(y) = -1722 + 1722 + 5*y. Calculate m(j(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -493 + 2390. Let n(v) = 1897 + 3*v - i. Let f(j) = -2*j + 48. Determine f(n(g)).\nAnswer: -6*g + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -9\/2, 0.13, 25, -20 in descending order.\nAnswer: 25, 0.13, -2\/3, -9\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 7*d**2 - 8. Let o(a) = 20*a**3 - 20*a**2 + 23. Give 6*o(s) + 17*r(s).\nAnswer: s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 67*h**3 - 8 - 2*h + 16*h**4 - 4*h**2 - h**2 + 4*h**2 - 17*h**4 in the form w*h**3 + b + i*h + y*h**4 + g*h**2 and give w.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(1 + (sqrt(52) - sqrt(13)) + -2 + sqrt(208) + -4 + 5*(-1 + sqrt(13))))**2.\nAnswer: -200*sqrt(13) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 5 = -13*h. Solve 3*s = h*d - 11, -d = -4*s - 14 + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.6, 3\/8, 4 in increasing order.\nAnswer: -3.6, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3\/13 + 2354*f**2\/13 - 34948*f\/13 + 102256\/13 = 0.\nAnswer: 4, 11, 1162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*p**3*s**2 + k*p**3 - k*p*s**2 - 10*p**3*s**2 - 2*p**3 - 5*p**2*s**2 + 1154*p**2*s - p**2 wrt p?\nAnswer: 6*k*s**2 + 6*k - 60*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + d = -21, 0*r - 2*r = 3*d + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 28*q**2 - 2*q + 6. Let o(w) = 54*w + 56*w + 53*w - 222*w + 58*w. Calculate o(a(n)).\nAnswer: -28*n**2 + 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*m - 3 - 7, 2*m = -4*n + 12. Suppose 3*r = -n*r + 240. Let g = r + -29. What is the highest common factor of 133 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 16*l = 11. Let t(y) = -9*y**2 + 13*y - 9. Let q(m) = 5*m**2 - 7*m + 5. Calculate l*q(f) - 6*t(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118771815?\nAnswer: 3, 5, 613, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 82*b + 9. Let g be a(7). Let f = 1475 - g. Is f - (247\/91 + 4\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.211 - 9.2. Let m = q - 5.811. Let y = -6 - m. Which is the nearest to y? (a) 3 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 69139?\nAnswer: 69138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + o**2\/2 + o - 1. Let k(u) = u**3 - 6*u**2 + 7*u. Let t be k(4). Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 44. Let i = n + 39. Let g(m) = i*m - 52*m + 30*m. Let a(w) = -2*w. Calculate a(g(p)).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -16074*d**4 + d**2 + 86*d**3 + 15821*d**4 - 88*d**3 + 3 as t*d**4 + j*d**3 + a*d + g*d**2 + f and give t.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 423c (base 15) to base 12\nAnswer: 8133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136? (a) -613 (b) 96 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7399 + -3434. Calculate the remainder when m is divided by 1316.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6199269ml?\nAnswer: 0.0006199269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 4:52 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -25, -94, -233, -466?\n\"Answer: -4*p**3 + p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 500847185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166.4 - -161.4. Let n be (-2)\/(-34)*(-6)\/(-12). Which is the fourth smallest value? (a) 0.2 (b) 1 (c) q (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 21436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*q + 185 = 202, 0 = -s + 5*q - 47 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 4, 39155?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.03, 4\/9, 1, 0.264?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/26677 and -36\/53898973.\nAnswer: 377292811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(-1 + sqrt(108)) + ((-1*sqrt(288))\/sqrt(8))\/((sqrt(84) - ((sqrt(84) - (sqrt(84) - -2*sqrt(84)) - sqrt(84)) + sqrt(84) - sqrt(84)))\/sqrt(7)).\nAnswer: -1 + 23*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7837ml in litres?\nAnswer: 0.0127837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*o + (4 + 3 - 2)*(-2*o + 1 - 1).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 184202971 a multiple of 829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 86523.78mm?\nAnswer: 86.52378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2.06, -2\/3, -17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2320012 + 112?\nAnswer: -2313300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 13. Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 18*l = -420. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3989.3 or -293?\nAnswer: 3989.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*v - 89 - 111, -253 = -5*v - 3*i. Let y = 57 - v. Suppose -5*w + 485 = -5*r, 3*w + 2*w + y*r - 476 = 0. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 3*k**4 + 5*k**4 + (-3*k + 2*k**3 + 3*k)*(0 + 2*k + 0) + 81 - 74*k**4 - 81.\nAnswer: -68*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 901*k + 58990. Determine n(371).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 469*p + 465*p - 28, -9*c + 35 = -2*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 7*g - 5*g. Suppose -101*l - 12 = -g*l. Solve 3*u = l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2142\/(-27))\/(-17) - (-2)\/6. Suppose 0 = -u*b - 2*t + 5182, -19*t + 23*t + 2092 = 2*b. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 7:38 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4872 and -59\/648.\nAnswer: 131544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 28*o - 176. What is q(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 22) + -30 + 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -4, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 16 + 10)*(-2 + 5 - 5)*(-4 - 4 + 6)*(2 + 6*f**3 - 2) to the form m*f**2 + v*f + k*f**3 + r and give k.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 360 = 3*l. Suppose -3*j + r + 54 = 0, -4*j - j + l = 5*r. Calculate the remainder when j is divided by -16*(15\/5 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 357588342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1653432 and 133\/1653432?\nAnswer: 1653432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42429 is divided by 204?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2214432 (base 6) to base 15.\nAnswer: 22e28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 820*p**3 - 254208*p**2 - 252540*p + 2488 = 0?\nAnswer: -1, 2\/205, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 1. Suppose -y = 2 + k. Sort y, 0, 5 in ascending order.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1113*r**3*z**2 + 240577*r**3*z + 155*r**2*z**3 wrt z.\nAnswer: -2226*r**3 + 930*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/14 - (-440)\/112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333593748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*f**2 - 2*f - 64*f**2 - 72*f**2 to v + w*f + x*f**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + -35022006?\nAnswer: -35022123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*o + 389. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*f - 9 = -6*f, -17 = -5*h - 4*f. What is the remainder when 51 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 90. What is the remainder when d + 3 + (-5 - -5) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*n = 10, 3*n + 23 = 8. Solve b = 20*w - 17*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219989041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/2 - 4\/8. Let q be 1\/t + 413\/35. Let x(d) = q - 1 - 3*d + d**2 - 8. Determine x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*g + 8, -2*g - 20 = -4*z - 0*g. Let l = 2 - -2. Suppose 0 = -2*i + t - 0*t + 3, -3*i + l*t = -7. Solve -i - z = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j**3\/3 - 2. Let x(q) = q - 7*q + q. What is x(m(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/8)\/((-608)\/12416) - (0 + 1). Which is the second biggest value? (a) -4 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/2 (c) 4 (d) 3\/5 (e) -395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -19*g - 3570. Let i(h) = 48*h + 9044. Let d(j) = 15*i(j) + 38*z(j). Let b(n) = 1 - 74*n**2 - 1. Calculate d(b(r)).\nAnswer: 148*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026594256 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9 + a**3 - 4*a**2 + 902*a - 462*a - 441*a. Determine d(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 39, -9, -0.13 in descending order.\nAnswer: 39, 4, 0.2, -0.13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 8. Let j be b(-4). Suppose 7*n - 4*n - 18 = j. Suppose 0 = 2*k - n*k + 40. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 679.9999944 - 680. What is q rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 1 + 1)*(-89*i**2 - 131*i**2 + 23*i + 230*i**2).\nAnswer: 10*i**3 + 23*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7 - (7 - 43)) + -38 + 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 369688406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -383 + 9*z**3 + 287 + 6*z**3 - 33*z**2 - 33*z. Let p(g) = -g**3 + 2*g**2 + 2*g + 6. What is -33*p(a) - 2*t(a)?\nAnswer: 3*a**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 896 = 5*y, 5*u - 201 = -3*y + 932. Which is smaller: u or 234?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1031 or 73?\nAnswer: -1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:04 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 103*v - 150. Let w be p(50). Solve w = -2*q - 24*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + 2*y**2)*(-29*y - 12*y - 6*y) + y**3 - 21*y**3 - y**3 - 2*y**3 + 5*y**3 + 6*y**3.\nAnswer: -106*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 14. Does 5 divide o(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9*w - 15. Suppose 2*l - w*l + 24 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10126)\/2656 + (0 - 3*-1). Let g = -21\/16 - v. Which is the biggest value? (a) -0.4 (b) 10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x + 260 = -12*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by 8240\nAnswer: 25\/1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976719.\nAnswer: 3, 211, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*u - 92. Let t = 21 - u. What is the units digit of ((-35)\/20)\/((-2)\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21963330 by -12465.\nAnswer: -1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 129 - 49. Suppose -4*r + 472 = -180. Let w = j - r. Round w to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**3 - 5*r**2 - 2*r + 3. Let m be w(4). Round m to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*z**2 + 206*z**3 + z + 0 + 2*z**4 - 206*z**3 to the form r*z**3 + m*z**4 + j*z + c + n*z**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16479.5 and -0.5.\nAnswer: 8239.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v - 9. Calculate w(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + p**2 - 45*p**3 - 44*p**3 + 88*p**3 + (-p**3 + 0*p**3 + 0*p**3)*(3 - 1 - 4) + 2 + 2*p**3 - 2 to the form f*p**3 + v*p**2 + n + z*p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 8)*(g - 2*g + 3*g) - 5*g - 74 - 108 - 30 + 41.\nAnswer: -29*g - 171","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -5, -1\/6, 117, -49\/4, -1\/2?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 21*h**2 + 25*h - 42. Give c(22).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6189889, 6190024, 6190155, 6190282, 6190405?\nAnswer: 6190524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z - 3*z. Let d(h) be the first derivative of 3\/2*h**2 + z*h + 0*h**4 + 0*h**3 + 2\/5*h**5 + 5. Find the second derivative of d(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, -2\/21, 2\/5, 4\/5, 6 in increasing order.\nAnswer: -25, -2\/21, 2\/5, 4\/5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_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: 2, g: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(8)\/sqrt(2))\/sqrt(2))*-5*-5.\nAnswer: 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -58. Let i be ((-18)\/(-5))\/((-24)\/c). What is the greatest common factor of 81 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 4)*(-2*c**4 + 4*c - 4*c) + c**4 - 2*c**4 - 2*c**4 + 4*c**4 + 4*c**4 - 6*c**4)*((3 - 1 - 4)*(c - c - c) + 0*c + 5*c + 0*c).\nAnswer: -35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 + 85*p + 38. What is d(21)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 14*m**2 - 17*m + 12. Suppose 5*i - 2*f = 83, -245*i + 35 = -244*i - 5*f. Determine s(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1103, -42 in ascending order.\nAnswer: -1103, -42, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 4 - 1\/1. Let h be (-2 + 0)*(-10)\/(-12). Let y = 1.8 + -2.1. Sort r, h, y.\nAnswer: r, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-3*u**3 - 4*u**3 - 2*u**3)*(9*u - 11*u + 4*u).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89579*h**3 + 18168*h - 36?\nAnswer: -537474*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*f - 3*z + 18, 10 = 5*f + 5*z. Let c(b) = -b**2 + 6*b + 7. Let n be c(f). Let g = -5 + 13. Which is bigger: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 4*h**2 + 6*h - 7. Let b be i(-5). Suppose 0*k - 2*k + b = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vync when four letters picked without replacement from {c: 2, y: 2, v: 8, s: 3, n: 4}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1326 (base 11) to base 12.\nAnswer: bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 3*x + 1. Let w(r) = 0 - 4*r**2 + 62*r - 63*r - r + 1. Determine 3*g(m) - 4*w(m).\nAnswer: 4*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 17 - (8 - (-5 - -2) - -7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -31.614?\nAnswer: 22.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wndnnnydnyndyyywwy. Give prob of picking 1 d and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15107150 to the nearest integer?\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j - 46. Let a(w) = -w**2 - 7*w + 46. Let v(x) = 5*a(x) + 4*g(x). Find the first derivative of v(c) wrt c.\nAnswer: -10*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a3424 (base 12) in base 6?\nAnswer: -211122444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -780200 to the nearest 10000.\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/20)\/((-1)\/8). Suppose f*b + 2*b = -20, 4*l - 3*b - 23 = 0. Let a(n) = n. Let q be a(3). Solve -l*w - 4*o + 24 = -0*w, -4*w + o = -q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1*-2*-3065*(-3)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*l + 3*g, -6*l + 3*l + 5*g = -74. Let o = l + -5. What is the highest common divisor of 117 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.636528 rounded to 2 decimal places?\nAnswer: 14.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y + 24*y + 750 = 17*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -990 + 994. Solve u*q + 27*v + 19 = 30*v, -2*q - v - 7 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:58 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 558352, 1115342, 1672332, 2229322, 2786312, 3343302?\n\"Answer: 556990*s + 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/5 + 74469*s**4\/5 - 74473*s**3\/5 - 223409*s**2\/5 + 74472*s\/5 + 29788 = 0?\nAnswer: -74470, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3*f + 4. What are the prime factors of l(6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102) - (sqrt(102) - sqrt(102)*-1)))\/(sqrt(576)\/sqrt(6)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 187*j + 2019. Determine p(-8).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/9 + 1480*s\/9 + 273800\/9 = 0. Calculate s.\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43295347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j + 14. Let u = j - 2. Suppose -2*s + 4 + 2 = 0, 4*o - 77 = u*s. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1176249335101793632\/743325 - 1582415948746. Let f = i + -134\/583. Let k = f + -14597\/1700. Find the common denominator of k and -43\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001187762 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 779 - 660 = -37*x, -9*x - 35 = -2*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*63.1.\nAnswer: -25.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -11. Let y = 43 + -29. Calculate the lowest common multiple of j and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1 - -1) + -1. Let k = 2 + t. Let m be ((-2)\/(-6))\/(1\/k). Which is greater: m or -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7411\/4 or -2?\nAnswer: -7411\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -846364*a**2*s**3 - 3*a**2*s**2 + 57*a**2 - 4*a - s**2 wrt s?\nAnswer: -5078184*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*5*sqrt(133) + sqrt(133))*-6)\/(-4*sqrt(7)*3 + sqrt(28)\/(sqrt(4)*-3)).\nAnswer: 1188*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -180 + 192. Suppose 5*y = 2*y + 2*z + 19997, 13340 = 2*y + j*z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6525 or -6526?\nAnswer: -6525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (1\/(-4))\/(105\/(-269220))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 36668*k + 695979. What is v(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 2*y, 5*r - 6*r = 2*y + 6. Let h be (r + 3)\/((-1)\/(-115)). Calculate the highest common factor of 46 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/1616 in 0.03, -0.04, 358?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 208516 - 818669\/4. Let f = q + -3871. Calculate the common denominator of 13\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/165 and 85\/1881.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*o - 20, -3*i = 11*o - 12*o - 8. Suppose g - i = s, g = 14*s - 17*s + 8. Solve 11*l + g = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57653 divided by 1\nAnswer: 57653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 120*j - 107. Let m be l(3). Sort m, 1\/2, 5.\nAnswer: 1\/2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {t: 1, e: 5, g: 5, l: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 86556638 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 12*k + 1. Let v be u(-12). Suppose 2 + v = -o. Is -47*(-15 - o)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12 = -0*b, 2*t = b + 8. Is (-1145)\/(-15) + t\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1470 and 14?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Suppose m*t - 8*t = -60. Calculate the greatest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - 164. Let y = 5\/13 + -22\/91. Are c and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-3)\/(-1))\/(3\/(-4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551610 divided by 91935.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7559*l**3 + 73904*l - 557794179 wrt l?\nAnswer: 22677*l**2 + 73904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 - 2.679. Let y = k - 23.021. Let w = y + 24. Which is the closest to 0.3? (a) w (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + d - 27, 3*d - 8 = -y - 15. What is the remainder when 148 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**3 + 177*d**2 - 69*d + 149. Let l be z(35). Solve -125*o + l = -102*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-748*i + 24*i**3 + 748*i)*(-4 + 10 + 4 + 4 - 6 + 1 + (-3 - 3 + 4)*(2 + 1 - 2)) as m*i + v*i**2 + q + r*i**3 and give r.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 26932*o**3 - 135412*o**2 - 157832*o + 4512 = 0?\nAnswer: -1, 188\/6733, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 1498 + 1478. Let u(c) = -c**3 - 4*c**2 - 2*c - 4. Let f be u(-4). Suppose -4*l - 4*o = 0, f*l - o - 9 = 4*o. Put l, i, 4 in increasing order.\nAnswer: i, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + s**2 + 0*s**2 + (-46*s + 47 - 47)*(-23*s - 16*s - s)*(3 - 3 + 2) - 4*s + 2*s**2 + 4*s to c*s + a*s**2 + j and give a.\nAnswer: 3685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -656?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/(-10) + 10\/25. Suppose 7*h - t*h = 3. Let v = 1 - h. Solve f + 0 = v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.2, 3\/4, -36, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4018971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 10*a**2 + 6*a - 1. Let f be i(4). Let k = 6 + f. Let v be ((-18)\/27)\/(-2 + (-10)\/k). Is v greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -0.28, -0.3 in decreasing order.\nAnswer: 1, 0, -0.28, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*o**4 + 92*o**3 - 2642*o**2\/9 + 1000*o\/9 - 8 = 0. Calculate o.\nAnswer: -9, 2\/21, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.249 and -4267056933?\nAnswer: 4267056933.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 1\/2 (c) 2766\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 24*j**2. Let h(a) = -a + 421. What is h(u(w))?\nAnswer: -24*w**2 + 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -12822832.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15943774?\nAnswer: 2, 7, 11, 19, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 842712*d**2. Let l(r) = 3*r. Give l(s(b)).\nAnswer: 2528136*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from bbbbbbbbbbbbbdbbbbb?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/43 - 119\/1161. Let j(g) be the second derivative of -7\/54*g**4 + 0 + 1\/10*g**5 + 1\/189*g**7 + 2\/27*g**3 - d*g**6 + 2*g + 0*g**2. Factor j(r).\nAnswer: 2*r*(r - 2)*(r - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r - 12. Let z(x) = 32*x - 5 + 33*x - 64*x + 2. Let v(t) = b(t) - 3*z(t). What is v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0500624933 to 6 decimal places.\nAnswer: -0.050062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170320 divided by -40.\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/17*f**5 + 6\/17*f**4 + 6\/17 + 2\/17*f - 12\/17*f**2 - 4\/17*f**3 = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 120 + 27 = 0. Suppose y + 13 = 2*m. Suppose o = h + 40, 0 = 2*o + 23*h - 19*h - 92. What is the remainder when o is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3 - -5c?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*y**3 - 2*y + 20*y**3 - 47*y**3 + (y - y + y**2)*(3*y + 3*y - 5*y).\nAnswer: -60*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/44)\/(2\/24). List the prime factors of (-1064)\/(-4)*u\/6.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 11. Let p be s(-8). Let a be -3*(-10)\/6 - -1. Solve l - 2*y + 19 = -a*y, -5*y = p*l + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-18))\/((-2)\/(-102)). Let x = -48 - c. Solve -2*t = -3*t - x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 5095 - 11392 + 4076)*(4 - 3 + 0) + (-4 + 7 - 2)*(b - 4*b + b).\nAnswer: -3*b - 2221","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {g: 2, q: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i - 86. Let y(p) = 17*p - 85. Determine -5*o(m) + 4*y(m).\nAnswer: -2*m + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -25, 50 in decreasing order.\nAnswer: 50, 5, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 585147402, 585147401, 585147400?\n\"Answer: -i + 585147403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 12*(-64)\/(-18)*(-27)\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 527?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 29600?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (85 - (12 + (4 - 1)) - -17).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/4)\/z*z)**(2\/105)\/(z*z**(-4\/17)*z)**(-27) assuming z is positive.\nAnswer: z**(34037\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5453*t - 233240 - 178387 - 109617 + 117722 = 0 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 4*k + 2*s, -4*k + 9 = -5*s. Let r be (4*(-2)\/(-4))\/k. What is the second derivative of 3*v + 0*v - 4*v + v**r + 6*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*3*(-2)\/3*89\/(-178)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let y = -144016 + 144024. What is the third smallest value in j, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 101380747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 101*k - 51. Let a be w(22). Let t = a + -1164. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*f**2 + 430*f**2 + 431*f**2 - 1295*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 1 y when three letters picked without replacement from {g: 1, p: 3, y: 4, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-231)\/6)\/(1200\/800).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*(-60)\/(-28) - 1. Solve -2*m = o - 1 + 3, 4*m + s = 3*o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13597 divided by 413\nAnswer: -13597\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.3, -3214197?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -4*l - q, 291*q + 20 = l + 294*q for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(77))\/sqrt(11) + -5 + 5 + sqrt(63))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24830 divided by -2.\nAnswer: 12415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66530 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-279)\/(-24)*(-64)\/(-40))\/(42\/28).\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2879 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11334433 (base 5) to base 14.\nAnswer: -2a6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 1. Suppose -2*a = -p + 10, -3*p = -n*p + 2*a + 26. Solve 4*g = -h, p*h + 2*g = -g - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in 3\/22, 27, 0.2?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 60 = -0*w. Suppose d = 35 + w. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -62*d - d**2 + 28*d + 32*d - d**3. Let g be p(-3). Let l = 246 - g. What are the prime factors of l?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*j - 92*j = 171270. Solve 4*s + 40 = -5*k, j*k - s - 13 = 497*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 240410?\nAnswer: 240360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391, 7307, 23239, 54155, 105023, 180811, 286487?\nAnswer: 427019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -36*h**2. Let x(o) = 1741970*o**2. Determine x(r(c)).\nAnswer: 2257593120*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 * 194.232.\nAnswer: 1126.5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -14.3799.\nAnswer: -5.75196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106.85 + 107.05. What is the third smallest value in -89, 19, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/22790 and -97\/1032.\nAnswer: 273480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/35 - (-2)\/(-14). Let c be (-8)\/(-1 - -2)*x\/2. Solve -b + 15 = c*r, 0 = -b + 5*r - 30 - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -45*l**2 + 2051*l - 8463. Calculate r(41).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3058\/278 + -9 + -1 + (-6)\/(-4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 > -12777\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 - 2*t - 6. Does 2 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 3*v - 108. Let j be (v\/12)\/(6\/(-16)). Let r(t) = -j*t + 0*t + 5*t. Let o(a) = -a**2. What is r(o(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 + 815*g - 2310 = 0.\nAnswer: -14, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37460 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 480 + -490. Let b be (-10 + (8 - -4))\/((-1)\/v). Calculate the highest common factor of 500 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*g - 52, 0 = -0*q - q + 4*g - 4. Solve -q = 2*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 25 = 0. Let j = -36 + 52. Solve -d*p + 4 = -j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)*s*s**4)**(-33) assuming s is positive.\nAnswer: s**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:29 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1795 and -3?\nAnswer: 3.5385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**26)\/(i**(4\/7)\/i))\/(i**(2\/27)*i*i*(i**(-5)\/i)\/i) assuming i is positive.\nAnswer: i**(6115\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 408\/13 + -1211\/39. Find f such that -2\/3*f + 0 + 1\/3*f**3 - z*f**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.57 - -13.83. Let z = 14.1 - g. Which is the smallest value? (a) -1\/4 (b) -2\/3 (c) z (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.247292 to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/5 + 6\/30. Suppose 0 = -3*g + 12 + 6. Let n = g + p. Solve -1 = 4*x - n*t, -5*t = -0*t - 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from qqqddqdq.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256608.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 802753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -131*3562152\nAnswer: -466641912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2 + 24\/(-48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 246128, 492260, 738382, 984494, 1230596, 1476688, 1722770?\n\"Answer: -5*y**2 + 246147*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(20\/(-15))\/((-11)\/((-330)\/(-8)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 782457 or 782454?\nAnswer: 782454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3817590137 to the nearest integer?\nAnswer: 61787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + (2 - (-824 - -1)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -2. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.53 + 38. Let y = p + 3.53. Let l be 3\/(-12) + 2 + -2. Is l less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4095, -8180, -12239, -16260, -20231, -24140, -27975, -31724?\nAnswer: -35375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*k + 2, 2*i - 818*k + 813*k + 19 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 29*l**2 + 27*l + 22. Let x = -3352 + 3380. Calculate h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (186 + 357 + 1558)*(-3*j - 6*j + 3*j) in the form f*j + u and give f.\nAnswer: -12606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2443*s + 4884*s + 12*s**3 - 2441*s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -10 - (-5 - (10 + -9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12) + (-41)\/4 + 92 + -97\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329692.\nAnswer: 2, 11, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6162324 to the nearest integer?\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1333\/18 + -74. Let t(s) be the second derivative of 1\/3*s**3 + 2\/3*s**2 + 0 + v*s**4 + 2*s. Factor t(q).\nAnswer: 2*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 407, 413, 421, 431, 443?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f**2 + 245*f - 200. Give c(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.199 - 1.059. Let c = -0.56 - n. What is the biggest value in -0.4, 2, -1\/6, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 40501.61 tonnes?\nAnswer: 40501610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2196305*d - 2195040*d + 15180 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83858053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (26\/6 + (-25)\/(-150))*2\/15\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 173 - 8*h - 13 + 6*h in the form t*h + j and give j.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10188568 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/23? (a) -2\/3 (b) -2\/7 (c) -10 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6236444 rounded to 3 dps?\nAnswer: -15.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + j**2 + 2*j - 4. Let l be (-5 - -3)\/(6\/9). Let k be 1\/(-4 - l) - -3. Suppose 0 = k*y - 0*y - 6. What is p(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749300 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*v**4 + 141734*v**3 - 1494224*v**2 - 4 wrt v?\nAnswer: -216*v + 850404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**2*w**2 - o**2*w - 12610*o*w**5 + 7836*o*w + 14*o wrt w.\nAnswer: 8*o**2 - 252200*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + -8 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1398218 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 14*h - 63. Let z be x(-10). Which is smaller: -6\/13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/((-1500)\/(-175))*60\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 638, 4, -2, -89 in increasing order.\nAnswer: -89, -3, -2, 4, 638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/199423, 0.5, -0.1 in descending order.\nAnswer: 0.5, -2\/199423, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1207128222 + -22914\nAnswer: 1207105308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -125*i**5 + 200600*i**4 - 69360045*i**3 - 9221622970*i**2 + 7410539860*i - 1484322360 = 0.\nAnswer: -102, 2\/5, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -3 - (4 - 8 - -1). Let f(w) = 8 - 6 - 4*w - w**t + 2*w + w. Determine f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/6, 9, 2, 78, 1\/9, -3.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 22 = r - 21, 2*r + 12 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/4*b**3 - 5\/4*b**2 + 4*b - 1.\nAnswer: -(b + 1)*(5*b - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 9. Let q = 11 + d. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**2 + 537*r. Let z(m) = -20483*m. Determine z(x(l)).\nAnswer: -327728*l**2 - 10999371*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-8)\/(-100)*20. Let s = -0.14 - 0.13. Let d = -3.27 - s. Which is the third smallest value? (a) g (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391566 is divided by 797123.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -285. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13502 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 599605*t**2 - 9*t**3 - 599605*t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 4. Let j be d(8). Let m = 8 + j. What is the highest common factor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.42822 in 1\/8, 0.1, -6.6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42739657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llaaaacclaacacacl. Give prob of picking 1 c and 1 a.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 1\/9, -1, 2, -0.5 in ascending order.\nAnswer: -3, -1, -0.5, 1\/9, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22604480 to the nearest integer?\nAnswer: 4754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11)\/(-33))\/(3\/558) is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 0 + sqrt(252)*-1 + 0)**2*1*5.\nAnswer: -720*sqrt(7) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-7)\/((-14)\/4). Calculate the highest common divisor of n and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1706 = -844*t + 27870 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*((4 - 6 + 1)*(2 + 0 - 1) + 3 - 4 + 3 + 0 + 2 - 1 - 1 - 6 - 2)*(-2*y + 0*y - y)*(306 + 6 + 150).\nAnswer: -9702*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 72*r - 2616. Let k be f(28). Calculate the highest common divisor of 80 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose 0 = -h + q*h - 9. What is the units digit of (1\/3)\/(1\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -4*p**5\/5 - 9*p**4 - 20*p**3 + 50*p**2 - 12. Factor w(a).\nAnswer: -4*a*(a - 1)*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 205*g + 2. Let w(k) = 1023*k + 11. Let h(b) = 11*c(b) - 2*w(b). Let d(x) = -x**2. Give d(h(s)).\nAnswer: -43681*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 146*c**2 + 3*c - 10. List the prime factors of j(2).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 15*c**2 + 44*c - 523. What is z(14)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46011.\nAnswer: 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515709742?\nAnswer: 2, 19, 211, 64319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-36)*(-6)\/20)\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 514355, 515069, 515783?\n\"Answer: 714*d + 513641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -866547 by -96283.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 29*a**2 + 2*a. Is n(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 574 and 328?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -45*x + 1533. Give g(34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*w - 13, 4*l + l + 33 = -2*w. Let i be w\/(-12) - 10\/(-6). Suppose g = -2*k + i*g - 2, 4*g - 8 = 0. Solve -5*x = 2*m - 2, 4*x - 8*x = k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 4*p - 896, 2*r + 4*p + 604 = 0. What is r rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(((q*(q\/(q*q\/q**(-4)))\/q)\/q)\/q))*q)\/q**(5\/2)*((q**(-2)\/q)\/q)**(28\/5))**39)**(1\/26) assuming q is positive.\nAnswer: q**(-927\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 142. Suppose 43*s - x*s - 72 = 0. Let b = 31 - 13. Calculate the smallest common multiple of s and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -22 (c) 1\/2 (d) 25 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 25*r**2 + 113*r + 104. Let u be l(29). Solve u*k - 15*k = -4*i + 18, -5*i + 25 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose -o*f + 2*f = -3*u, -2*f = 5*u - 16. Solve 3\/4*n**f + 0 + 3\/4*n + 3\/2*n**2 = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32539.68424 rounded to the nearest one hundred?\nAnswer: -32500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 60\/(-7))*(-8 - -1). Suppose -l = -s - s. Suppose -4*z = -s - 9. Solve 4*o - z = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 200. Let b be 33 - (-13 + 9 + -3). Calculate the greatest common factor of b and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265682133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -15ee7?\nAnswer: 15f04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Suppose -2*l + t + 6 = 19, -l - 29 = -5*t. Let q = l - -8. Let v(u) = 3*u**2 - q*u**2 + 3*u**2. Give v(g(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45008587.\nAnswer: 13, 19, 107, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 5*b + 18. Find the third derivative of 8*v**3 - 4*v**3 - b*v**2 + 2*v**3 wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1916 - 1.39. What is m rounded to 2 dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 329*g**3 - 728*g**2 - 4*g + 4. Let r(w) = 328*w**3 - 723*w**2 - 5*w + 5. Let m(q) = 5*b(q) - 4*r(q). Find the third derivative of m(k) wrt k.\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.003626 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = o - 15, 4*f - 5*f = -o - 1. Let b = -17 - -19. Solve -25 = b*y + o*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6703, 141, 3, -3 in descending order.\nAnswer: 141, 3, -3, -6703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173494 by -223.\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 40, 112, 254, 490?\n\"Answer: 4*k**3 - k**2 + k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*r - 36, -2*c - 1 - 12 + 39 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 158, 229, 276, 293, 274, 213?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -68, -23, -318, -6, -1.\nAnswer: -318, -68, -23, -6, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 18 - 10*l - 1 + 1 + 2*l + (-3 + 3 + 2)*(0 + 0 - 2*l) + 0*l - 3*l + 2*l + (-3*l - 2*l + 2*l)*(3 - 6 + 1) to the form k + s*l and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36084 times 22?\nAnswer: 793848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 81. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -193, -416, -723?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**28\/c)**47 assuming c is positive.\nAnswer: c**1269","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 23 - 15 = 0. Let j = 0 + 0. Which is the closest to -0.1? (a) d (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let y = b - -3. Let m be 6 - (3 - 1)\/y. What is the highest common factor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3832669 and 87.\nAnswer: 11498007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17257418 is divided by 628.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11495 by -5.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.922 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvdivdvdididivvdviv. Give prob of picking 1 d, 1 v, and 1 i.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1311290*n**3 - 1311261*n**3 + 2622549*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4) - 2)*-1212. Suppose n - 905 + 1410 = 5*y, -4*n - 505 = -5*y. Calculate the highest common factor of b and y.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**4\/16 - 97*q**3\/6 - 991*q**2\/8 - 199*q + 3016. Let w(y) = 0. What is y?\nAnswer: -4, -1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -106073, -105920, -105665, -105308?\n\"Answer: 51*k**2 - 106124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let w be r(-4). Let q be (-78)\/(-777)*w\/(-2). Let m = 4\/37 + q. Which is the biggest value? (a) m (b) -2\/17 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454 + 124 = -30*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527040180 to the power of 1\/2, to the nearest integer?\nAnswer: 74344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - 2*j + 11. Calculate z(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4*z - 8*q**4 - 4*q**3*z**2 + 75*q**2*z**2 + q**2 wrt q.\nAnswer: 48*q*z - 192*q - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 382110 and 19241.\nAnswer: 27129810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1611 - -1914. What are the prime factors of y?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 937630021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 9*b**2 - 6*b - 3. Let v be k(-8). Let y(j) = -2*j**2 - 1. Let c be y(3). Is v equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34043326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/15 + 13*d**4\/18 + 8*d**3\/3 + 3*d**2 + 3*d - 81. Factor r(i).\nAnswer: 2*(i + 3)**2*(2*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -179\/417621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-32) - 3) + 2. Let h = 0.409 + -0.209. Put n, 1\/2, h in ascending order.\nAnswer: n, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:34 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 778*h**2 + 74*h - 5*h**4 + h**4 - 834*h**2 - 14*h**3. Let y(k) = -k**4 - 3*k**3 - 11*k**2 + 15*k. Let n(c) = 3*f(c) - 14*y(c). Factor n(t).\nAnswer: 2*t*(t - 2)*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-428)\/(-28) - 2\/7. Calculate the highest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2*x**3\/3 + 15627. Let z(d) be the first derivative of -7\/2*d**2 + 0*d + 1. Calculate h(z(t)).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 5:41 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14124 and 2112.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 7*c - 239. What is l(0)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3\/2*y**2 - 2 + 0*y - 2*y**3 + 6\/5*y**5 + 0*y**4 + 1\/2*y**6. Find a such that m(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 3. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 10:44 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-54) + 4053\/5211.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2) - 2) + 12. Suppose 0 = 4*w - 1 - y. Let i be ((-21)\/5 - -4)*-5. Is i equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6610 - -9610. What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 15\/(-10))*(-24)\/15. Solve 0 = -5*m - k*y - 6, 12*y + 2 = 5*m + 14*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + h - 9, 2*q + 0*h + 4*h = 24. Suppose -q*a = -93 - 111. Is a a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d = 834. Let j be (-10)\/(60\/18)*d\/(-3). Let p = j - -397. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 87 = d. Let j(v) = v**2 - v + 2. Let r be j(-3). Calculate the greatest common divisor of d and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36938*n + 15 + 40*n**3 - 4*n**4 - 37*n**3 - 36940*n in the form b*n**3 + a*n**2 + v*n**4 + d + z*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -34, -123, -1, -4 in increasing order.\nAnswer: -123, -34, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - -1*(2 + 4\/(-2)). Suppose -19*m - 2*o + 132 = -14*m, 3*m - h*o = 96. Solve 0 = 3*t + 5*d - 35, 3 + m = 3*t + 4*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204 or 3\/10012?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -3)\/(5\/(-20)). Suppose 0 = -5*g + 3*q + 19, z*g + 5*q = -g - 5. Solve -g*v - 2*n + 7*n - 35 = 0, 5*v + 3*n = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, -1226, 2, -43 in increasing order.\nAnswer: -1226, -43, 2, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/404 and -155\/118776.\nAnswer: 118776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 456, 459, 462?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 23 + 12)*(-h**2 - h**3 + h**2).\nAnswer: -62*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 33 - 20*a + 12 + 11 to z + n*a and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52881753 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 118. Suppose -5*d = -53*a + 57*a - 249, 4*d - 192 = -2*a. Calculate the highest common factor of d and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 132 = -12*y, -5*i + 55 = -38859*y + 38854*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/432293 or -1?\nAnswer: 2\/432293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 0. Let y be 18\/286 - (22 + 6804\/(-308)). Which is bigger: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3101*p - 2465*p + 4204*p + 845*p.\nAnswer: 5685*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/19, -3, 0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 691*w + 1685. Calculate i(-3).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let u be 3\/1*(-3 - l). Does 3 divide 1\/u - (-8)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 35. Find the third derivative of -14 - n**3 + v - n**2 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:50 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8*m + 216 = 3*c, 2*c + 5*m - 144 = 0. Let b(i) = 4 - 72*i**2 + c*i**2 + 111*i**3 - 8*i - 110*i**3. Give b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(252) - 3*(sqrt(252) - sqrt(252)*2) - sqrt(252) - (sqrt(252) + 0 + (sqrt(252) + -2 - sqrt(252)) + sqrt(252))))*-2*2)**2.\nAnswer: 1152*sqrt(7) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3187639*m - 3187572*m - 1597 - 7850 for m.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2234, 4454, 6674, 8894, 11114, 13334?\n\"Answer: 2220*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 - (4 + -2) - (277 + -283)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2239 = -6*s - 16093. Let l = -1727 + s. Let p = 7955 + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3476 smaller than 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3 + 85*k**2 + 209*k + 97886 wrt k.\nAnswer: -6*k**2 + 170*k + 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 271114.4 milliseconds in seconds?\nAnswer: 271.1144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100809527*k + 100809527*k + 347*k**3.\nAnswer: 347*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10244002443 + 20?\nAnswer: 10244003013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22963 or -6\/5?\nAnswer: 22963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4871 is divided by 2279?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022 + 12102001022?\nAnswer: 12101221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.5. Let b = -2\/125 - 232\/1125. Sort x, -1, b.\nAnswer: -1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, -540.\nAnswer: -540, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9051\/9 + 2\/6. Let z be (12 - 15\/6)*-66. Let p = j + z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130356, -260724, -391122, -521550, -652008, -782496?\nAnswer: -913014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350143156 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*-0.0396265.\nAnswer: 0.016246865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 8 = -y - 5*w, 0 = 3*w + 6. Let u(l) be the first derivative of l**y - 6 + 0*l**2 - l**5 + 0*l**2. What is the second derivative of u(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -8, 42, 132, 274, 480?\n\"Answer: 2*i**3 + 2*i**2 + 2*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 8*b**2 - 6*b - 9. Suppose -p + 7 = -0. Give w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 541 - 6?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243895.\nAnswer: 5, 48779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18115 < 18113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -753 or -1062?\nAnswer: -1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4 - 5910\/560. Let c = g - -19\/28. Let v = 1\/6370 + -10831\/12740. What is the common denominator of v and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -689004.4 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*l**3 + 2*l**2 + 148*l wrt l.\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 31 + 11\/(11\/4). Suppose -2*i + m = -9. Calculate the remainder when 42 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36\/19, 1\/7, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*d + 9 = -99, 0 = 5*z + 2*d - 114. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6266*n**2. Let y(u) = -u. Give y(q(k)).\nAnswer: 6266*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010232322 to six dps.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 72 + 42 = 0. Let z be ((-26)\/(-390))\/(4\/l). Let j = 0.5 + -0.45. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a - 9. Let v(g) = g + 1. Give 2*s(c) + 22*v(c).\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1047*d**2 + 2*d + 31. Let g be h(13). What is g rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -6 + 35 + -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 19 + 24*z**2 + 38*z**2 + 2*z**3 - 45 as u + d*z + b*z**2 + w*z**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8)\/(11\/4 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 2) + -4 + 7 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3*45\/(-10). Let m = q - -352. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {h: 9, p: 2, r: 2, l: 2, y: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 6 (b) 2\/75 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 7*c + 29. Does 20 divide j(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*0\/4. Suppose -2*m - 6 = -g*m. Suppose -12 = -4*o - 0*o. Sort m, o, 0 in descending order.\nAnswer: o, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*v - 52*v + 87*v)*(3 - 1 + 2)*(1 - 1 + 3)*(3*v - 2*v + v).\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 24. Suppose 4*k + 3*f = -12, -10 = -k - 3*f - f. Let h(r) = -9*r + 8. Let c(a) = 8*a - 7. What is k*c(j) + t*h(j)?\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17587, -7, 0, 3, 2 in increasing order.\nAnswer: -7, 0, 2, 3, 17587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from cyefw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 952708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 25 + 205. Let i = -20 + f. Solve -i*k = -2 - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 156 - 99 = -0*y. What is the greatest common factor of 16949 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 10. Let l be r(0). Suppose 0*a - 2*a + l = 0. Let d = a + -2. Solve -3*n = -5*j + 10, 0 = 2*n + 2*n - d*j - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, -2, -4, 7 in increasing order.\nAnswer: -5, -4, -2, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101883163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41\/969, 28, 1\/6 in decreasing order.\nAnswer: 28, 1\/6, 41\/969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - 4 - -1 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c**3*v**2 - c**3*v - 9*c**3 - 4220*c**2*v**2 - 3*c**2*v - 9358*c**2 + 3*c*v**2 wrt v.\nAnswer: 32*c**3 - 8440*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 367 = -1118. Let h = o + -52. Solve 2 = h*s - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3, 594, 5\/2, 0.04, 6\/11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 4*j = 42, -368299*b = -368295*b - 4*j + 60 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, g: 6, i: 3, k: 2}. Give prob of sequence kwig.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*g**3 - 345*g + 2.\nAnswer: -1272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79592\/5 - 79589\/5. Let p be (-654)\/9*1\/(-2). Let l = 37 - p. What is the closest to q in 2\/5, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 29*r + 97 + 13*r**3)*(0*r - r + 0*r).\nAnswer: -13*r**4 + 29*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8962 + -2.03077. What is u rounded to 3 decimal places?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34884)\/(-684)*2\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24544342 (base 7) to base 4\nAnswer: -20130100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 574 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 23 = -3. Suppose -5*k = a*z - 2*k - 12, 4*k = 4*z - 16. Solve -15*l - 5*l**2 - 3*l**4 + 6 - 2*l**z + 14*l**2 + 5*l**3 = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 661 + -661. Suppose f = 4, -5*y = -0*y - 4*f + 1. Suppose y*q + 85 + 20 = g. Is -35 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 - 23*n + 130. Is 9 a factor of m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 1, p: 4, o: 2, l: 1, h: 3}. What is prob of picking 3 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4098586 and 0.3.\nAnswer: -1229575.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 5*r + 4*t, r - 5*t + 74 = -7*t. Let s(p) = 2*p**3 + 2*p**2 - 6*p - 1. Let i be s(-4). Let v = r - i. Which is bigger: v or -1\/53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {x: 3, s: 9, u: 5, q: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**(-6\/13)*((n*n**0\/n)\/n)**20)\/(((n*n*(n\/n**1)\/n*n)\/n)\/n**(2\/9)*n\/n**(-6)*n*n**(-6)*n) assuming n is positive.\nAnswer: n**(-2755\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/1907 or -1?\nAnswer: -15\/1907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 5. Let g(k) = -4*k + 9. Let c(r) = -r. Let q(v) = -c(v) - g(v). Suppose 4*y - 2*j + 20 = -0*y, -y = 3*j + 19. What is y*m(f) + 4*q(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 178, 377, 604, 829?\n\"Answer: -5*w**3 + 59*w**2 - w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7838635\/136 + -57642. Let c = q - 5\/34. Calculate the common denominator of c and 25\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-432))\/((-1)\/36)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 3. Suppose 2*t - 5*f = 9, -2*f = -3*t + 6*t - 4. Let i be w(t). Let o be (1 - -29) + (-5 - i). Solve 0 = -5*y + 6 - o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 4*m = 3*d + 7527, -5*m = 3*d - 4524. Let s = -764 + d. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337782454 divided by -4.\nAnswer: -168891227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-16) + (-18)\/12. Let o = 1\/3 + -5\/6. Is o less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**3 + 21*f**2 + 4*f + 21. Give g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4578 and 66.\nAnswer: 50358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.8. Let h = -1.9 + 2.4. Which is the closest to y? (a) 5 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 (base 8) in base 10?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26339397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + -2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/40 - 4*t**5\/15 - 5*t**4\/24 - 25*t**3\/6 + 22*t**2. Is m(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2993479*b - 500354 wrt b.\nAnswer: -2993479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24193080.\nAnswer: 1\/12096540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21774657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9291, 8292, 7293, 6294, 5295?\n\"Answer: -999*n + 10290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from duududddduuudwddud.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 329 = 18*n - 2*f, 939 = 3*n - 10*f. Calculate the greatest common divisor of 133 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(171)*1)\/sqrt(9) - sqrt(19))**2 + sqrt(19)) + ((2 + sqrt(1900) + -3)**2 - sqrt(1900)))*-4.\nAnswer: -7604 + 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794322 <= 1794321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b + 15 - 15)*((-b + 3 - 3)*(-2 - 1 + 2) - b - b + 3*b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1370\/70 + -20 + (87579\/7)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001414 to seven dps.\nAnswer: 0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - sqrt(850))*-5*-2)\/((sqrt(72)\/sqrt(9) + sqrt(2) + sqrt(2) - sqrt(2))*6).\nAnswer: -20*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47087.25496 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-17\/3)*p)\/(p**(2\/17)\/p)*p**27*p\/((p*p\/p**(2\/65))\/p) assuming p is positive.\nAnswer: p**(77062\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 = 2*t, 0 = -j - t + 6*t + 14. Suppose -w - 2*w + j = 0. Suppose 5*c - 24 = -2*r + 2*c, 25 = w*r - c. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 3*r**2 - 12*r - 9. Let g be l(-5). Solve g = -3*p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/(x**(-7)\/x*x))\/((((x\/(x**0\/x))\/x)\/x)\/x)**(-1\/7) assuming x is positive.\nAnswer: x**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(12\/16)\/(1545\/(-3296))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2 + 4*v - 1. Let c be n(-3). Let k be 1 - 5 - 392\/49. Let u = c - k. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -480 (b) -4 (c) -25.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -2.3. Let b = -8 - w. What is the closest to 1 in b, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3557 - -0.4?\nAnswer: 0.7557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3192192 divided by -8313?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2158049\/1028952 - 3\/28582. What is the common denominator of h and ((-16)\/5)\/(22\/(-10))?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336535789 to the power of 1\/2, to the nearest integer?\nAnswer: 18345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1*1\/((-5)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - a + 267. Let k(i) = -2*i**2 - 2*i + 285. What is 4*k(g) - 5*s(g)?\nAnswer: 2*g**2 - 3*g - 195","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -2472, 3\/5 in descending order.\nAnswer: 3, 3\/5, -0.5, -2472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -2622026?\nAnswer: 2622024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 10. Let a be n(-7). Let d = 6 - a. Suppose -7 = -q + 1. What is the smallest common multiple of q and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45866.56 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, q: 7, f: 2}. Give prob of picking 2 q.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtmm when four letters picked without replacement from {m: 6, t: 8}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/9, 57320, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**2 + 39 - 39)*(-n**2 + 6*n**2 - 3*n**2)*(2*n - 2*n - 2*n).\nAnswer: -40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p*w**3 - 79*p*w**2 + p*w + 2*w**2 + 2*w - 548 wrt w.\nAnswer: 30*p*w - 158*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.6 - -88.6. Which is the third smallest value? (a) 0.02 (b) r (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 36 = 2*i + 2*j, 4*i - 2*j + 62 = 0. Let w = -16 - i. Is w greater than -13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*v + 25, -23406*t + 23410*t - 8 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*k - 59*g**2*k + 116*g**2 - 14778*k wrt g.\nAnswer: -6*g**2*k - 118*g*k + 232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 22*x + 487 + 474 - 961 + 8*x.\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269 - -268. Let q = 8 - 13. Which is the nearest to 0.01? (a) 4 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**8\/1680 - f**5\/120 + f**4\/8 + 4*f**2. Let m(t) be the second derivative of g(t). Find the first derivative of m(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38418 is divided by 58?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 2. Let w be a(-1). Let m(g) = -6 + w*g + 16 + 18. Is 7 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/5)\/(2\/24). Let k be 4\/6 + 40\/i. Let r(g) = -4*g**3 - g + 5*g**3 - 3*g + 4 - 3*g**2. Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 13.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 - 17368*h**4 + 121748*h**3 - 104504*h**2 - 556544*h + 556672 = 0?\nAnswer: -4349, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 2*j - 9. Let w(m) = -26*m**2 - 6*m + 26. Let q(x) = -17*n(x) - 6*w(x). What is the remainder when q(-6) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 14 + 50 + (-1 - 57)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 - 1 - 3 - 2*a + 3. Let l(o) be the second derivative of -o**3\/3 + o**2\/2 - o. Let t = 227 + -222. Calculate t*l(m) - 4*b(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183 (base 16) to base 6.\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25966.92 + -25967. What is the nearest to 29 in -20, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + t + 16, 3*t + t + 22 = -o. What is the closest to 0 in 0.1, -2, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2691805762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2 = 4*k, 735*k - 14 = -3*h + 739*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = -0*n - n, -16 = 4*n. Let p(k) = -3*k. Let j be p(1). Let s = -8.1 + 8. Sort j, s, w.\nAnswer: j, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 - -146. Is s smaller than -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3752784 by -1752.\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 30. Let k = -18 - t. Suppose l - 111 = -k. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 5*u**2 + 4*u + 8. Let k = 23 - 19. Suppose 0 = -w - k + 10. Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872376?\nAnswer: 2, 11, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**2 + 8*w + 4. Let u(p) = 23*p**2 + 7*p + 3. Determine 4*i(g) - 5*u(g).\nAnswer: -59*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/306 and -115\/476?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216\/20 + (-4)\/5. Suppose 3*k - m = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3728231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*r = -4*w + 24, r + 6 = 3*w. Suppose -o + 24 = -0*o - 3*g, w*o - 17 = -2*g. Suppose o*f + 66 = -6. Let m(c) = c**3 + 8*c**2 - 2*c - 8. Give m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 30. Suppose 898 = -109*v + 2533. Determine j(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 0.3. Let i = -271 - -275. Which is the third smallest value? (a) 1 (b) -2\/7 (c) i (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792277?\nAnswer: 792277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 170502 divided by -6\nAnswer: -28417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*m**4 + 8545*m**3 - 17627105 with respect to m.\nAnswer: 512*m**3 + 25635*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**4 - 2 - 7*x - 13*x - 13*x**2 + 15*x + 14*x**2 as m*x**2 + o + j*x**4 + f*x + i*x**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17640)\/(-3675)*1\/(3\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:16 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*v - 32, -2*w + 20 = -3*v - 1. Let g = 499.9796 - 500. Let o = -0.0304 - g. Which is the biggest value? (a) w (b) o (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 806450*q**5\/7 - 7119366*q**4\/7 + 13264488*q**3\/7 + 2526392*q**2\/7 - 52992*q\/7 - 18432\/7 = 0.\nAnswer: -16\/127, 2\/25, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11114468 or 11114470?\nAnswer: 11114468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 17\/30*r**6 + 0*r**3 + 11\/12*r**4 + 5*r**2 - 1\/60*r**5 + 0 - 6*r. Find the third derivative of q(f) wrt f.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 10 = -22*b. Let k be 3\/(-6)*(b + 2). Suppose k = v + v. Solve z + 1 = 4*a, 7*a - 2*a - z = v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -77, 247, -14, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 8*n**2 + 11*n - 1. Let d be z(11). Let j be d\/45*3270*-4. Round j to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*z + 2347 + 4735 = -5803 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*v + 3 + 185*v + 234*v - 56*v + 27*v to c + b*v and give b.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/9, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5725363?\nAnswer: 7, 41, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 1 - 3*o + 5*o. Suppose -x + 5*x = -28. Let r(z) = -2*z - 4. Let n(b) = -5*b - 9. Let s(g) = x*r(g) + 3*n(g). Determine -4*p(a) - 3*s(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(363) + 0)*-3)**2 - ((sqrt(363) + sqrt(363)*-2*-4 - sqrt(363))**2 + 0)) + 0)*6.\nAnswer: 566280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/5, 0.22, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373389869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(36)*-2)\/(sqrt(392) + (-2*sqrt(392) + sqrt(392) - sqrt(392)) + sqrt(392) - sqrt(392) - 1*sqrt(8)*-5).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from nkx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155862 and 106097490.\nAnswer: 742682430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.34 (b) 2\/7 (c) -0.33 (d) 5\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 825 - 573. Suppose 257*f = t*f + 120. Solve m + 3*v - 12 = v, -m = 5*v - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -24\/7 (b) -10\/17 (c) -0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnennennnn. What is prob of sequence nee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 8. Let z be p(-6). Let f(l) = 44*l**2 - 1582*l - 56. Let o be f(36). Solve -o + 4 = -z*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7000 and 3505250.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50447, -101065, -151685, -202307, -252931, -303557, -354185?\n\"Answer: -t**2 - 50615*t + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 5490 = 5544 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -5*k**3\/3 + 26*k - 2. Let g(s) be the first derivative of j(s). Let u(y) = -3*y**2. Calculate u(g(b)).\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28735 less than or equal to -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 50 (b) -0.4 (c) 1\/10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 8*b + 45. Which is smaller: b or -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 3. Let c be r(2). Let s be (2 - c - -4) + 0. Let x = 6 - s. Solve x*u + u = 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 47*s**2 + 631*s + 384. Give n(58).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1085, -2173, -3261, -4349, -5437, -6525?\n\"Answer: -1088*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from gggggggggggggggghgg?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-12) - (-5 - (-17)\/3). Which is the closest to -0.2? (a) 8 (b) 3 (c) 2\/11 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33\/2 + 19. Calculate the common denominator of ((-56)\/84)\/(12\/(-106)) and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/257 (b) 0.1 (c) -0.1 (d) 2\/47 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3615 - 3614.7. Round n to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4357, -12434, -20511, -28588, -36665, -44742?\n\"Answer: -8077*y + 3720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-14))\/(351\/(-26))*3*(-54)\/52?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 977431789\nAnswer: 977431818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + 68\/20. Suppose -7*k = w + 4. Let d(l) = 70*l**2 + 4*l + 2. Is d(k) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**2 - 5*x - 222. Let d(y) = y**2 - y + 1. Give -3*d(s) - n(s).\nAnswer: -3*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 - 42*r - 12. Let w be z(-8). Suppose -2*q + w*i + 56 = 0, 3*q - 5*i = -16 + 103. Solve q = -h + 38 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3251 divided by 65914\nAnswer: 3251\/65914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-146)\/(-511) - (214\/(-14))\/(-1). Which is smaller: y or -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**34\/q)\/q)\/q)**(-19))**35 assuming q is positive.\nAnswer: q**(-21280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2. Suppose 2 = n, 4*n - 2 = 5*v - 9. Suppose -11 = -5*z + 4. Let s(q) = v*q - q**2 - z*q. Calculate s(o(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 0)\/1 - -10. Let r(w) = -w**2 - 15*w - 6. Let u be r(-6). What is the greatest common factor of k and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 58 = -o, 264 = 4*o + o - z. Is 16 a factor of o - (2 - (1 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 21\/5, -8, 2, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3435735, -5, -1 in decreasing order.\nAnswer: -1\/3435735, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8653175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278726 is divided by 1991?\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*x - 97. Let r be 1\/1 - (-1 - 10) - x. Solve 0 = -9*j + r - 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015644402 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 66*v + 11. Let f(g) = -221*g**2. Determine p(f(x)).\nAnswer: -14586*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 - 11*b**2\/2 + b + 2. Let t be h(-8). Suppose 2*o - o = 2*g + t, -5*o + 95 = -4*g. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 3}. What is prob of sequence assa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*q = 79*q - 70. Let j(f) = f**3 - 15*f**2 - f + 19. Let d be j(15). What is the highest common divisor of q and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2*v**3 + 10. Let j(d) = 3*d**2. Give p(j(t)).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 95*h**2\/2 + 10*h + 3. Let q be s(6). List the prime factors of 3\/9 - q\/(-15).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:06 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - -13) + -28 - (-1 + -2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 116. Suppose -a + 3*r - 3 = 0, 2*a - 3*r + 0 - v = 0. Let f(m) = -m**3 + 13*m**2 - 12*m + 5. Let p be f(12). Put 1, p, a in descending order.\nAnswer: a, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/(38628\/(-1044))\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/202, -4\/5, 4?\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6272 in 0.2, -1\/5, 1\/90?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {f: 7, q: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 11*w**2 + 11*w + 8. Let p be j(-10). Let r be p*(4 + (-28)\/8). What is the tens digit of 976\/64 - r\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(3))*6 + -1)*6)**2 - (-5 + sqrt(21)\/(sqrt(7) - sqrt(49)\/sqrt(28))).\nAnswer: -3026*sqrt(3) + 5657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1 - (-23 + 14)) + -5 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 10*m**2 - 25*m.\nAnswer: -m*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 19) + (26 - 89 - -68)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(6\/7)*(f*f**(-4\/7))\/f**(-1)*(f*(f*f*f*(f*f**2)\/f*f)\/f)\/f**(-4)*(f\/(f*f**5*f*f*f))\/f*f*f*f**7 assuming f is positive.\nAnswer: f**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315660158?\nAnswer: 2, 11, 14348189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.86873t in micrograms?\nAnswer: 18868730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v = -626 + 37 - 570 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 27*h - 181. Calculate y(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 133. Calculate d(-33).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 3*g + 4. Let p(k) = 2*k - 14. Let c be p(5). Determine v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26314932 + -7801426\nAnswer: -34116358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.24 + 11.76. Let d = 15 - g. Put d, 3\/8, 0.3 in decreasing order.\nAnswer: d, 3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875387 plus 14981531?\nAnswer: 16856918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 421 and 13782698.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 25. Let p be y(5). What is the highest common divisor of 835 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = -16*p. Let m be p*(-4)\/(-24)*3. Suppose -j + m*j = -22. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, 0.1, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a centimeter?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a7 (base 16) to base 11.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 627 + -834. Let c = t + 206.8. What is the nearest to 2\/7 in -5, -4\/3, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-15)*(-35)\/(-42)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*h**3*v**3 - 60*h**3*v - 511*h**3 + 15*h**2*v - 6*h*v**3 + 678822*h wrt h.\nAnswer: 1296*v**3 - 360*v - 3066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*j + 3. Let s(u) = u**3 + 152*u**2 + 55*u + 8376. Calculate the smallest common multiple of j and s(-152).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 2620*b**3 + 2626*b**2 + 5244*b = 0. What is b?\nAnswer: -1311, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607845 is divided by 2849.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 7*m**6\/30 - 4*m**5\/15 + 5*m**2\/2 + 4. Let u(y) be the second derivative of n(y). What is the third derivative of u(x) wrt x?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -201?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -118. Solve -i - 4 + 2 = -v, -3*v - 3*i - t = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54\/35 + 569\/210. Find the common denominator of -28 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x - 76 - 214 = 126. Let u(j) = -8*j - 135. Give u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 1250\/(-75))*114\/(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 329.49 + -56886579.\nAnswer: -56886249.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -412000 + 846180. Round d to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 64.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 274645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 469781403 to the power of 1\/2, to the nearest integer?\nAnswer: 21674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2128 - 2129. Let r be (-8)\/6*15\/65. Is j > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5062530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 103?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1999 - 1229 = 368*q - 613 - 1561 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11675080 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25043351 + -2?\nAnswer: 25043347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 33\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/1267?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + x**3 + 3*x**2 - 3*x**2 - x**2 + 3*x. Let b be f(2). What is the units digit of b\/4*(-2 - 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a85152 (base 11) to base 7\nAnswer: -41541445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 + 9*n - 9. Let g be v(-7). Suppose 4*t - g = -14. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:34 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - q. Let t(h) = h + 1. What is -t(x) - w(x)?\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 2\/15*v**5 + 0 - 167*v**2 + 0*v - 13\/35*v**7 + 0*v**4 + 1\/6*v**3 + 0*v**6. Find the third derivative of a(o) wrt o.\nAnswer: -1872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784\/8407 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-56)\/24)*19)\/(-21*2\/(-42))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3253 from 2592644352.\nAnswer: 2592644351.6747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-51)\/425)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i. Let l be -1*(-1 + 6 - i). Let h be (-6)\/2*4\/3. Sort h, -3, l in descending order.\nAnswer: -3, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 10*m - 11. Let y(p) = -2*p**2 + 34*p - 22. Let g be y(16). Calculate a(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70.335 - 0.665. Let u = 71.2 + z. What is the biggest value in u, 4, -5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbq when three letters picked without replacement from vbqqoooooppoq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/60 + p**5\/12 + 3*p**4\/8 + 19*p**3\/3 + 13*p**2 - 1. Let l be a(-3). Solve j = 5*h - 21, -4 + l = 2*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.96 - 0.96. Let m = r - 43.6. Let a = -3.59938 - m. What is a rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b. Let m(u) = u**2 - 2*u - 7. Let a be m(4). Let j be (-41*1)\/(a - (-6)\/(-4)). Let k(q) = j - 2*q**2 - 82. Calculate v(k(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 - 4*s**2 - 5. Let a = -2 + 1. Let z(g) = -g**3 + g**2 + 1. Suppose -45 = 111*u - 100*u + 10. Determine a*x(h) + u*z(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 897334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250 and -111786.\nAnswer: -27946500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 235\/30 - (-1)\/6. Is 3 a factor of (-9 + 5)*(-6)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*(1 + sqrt(99))*6 - (sqrt(99) - (sqrt(99) + 1 + sqrt(99) + 1) - -5*(sqrt(99) + 1))))**2.\nAnswer: 6324*sqrt(11) + 115405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 966961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 868.7831m?\nAnswer: 0.8687831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4932186515 divided by 5.\nAnswer: 986437303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5581604*a**3*f - a**2*f**3*q - 6*f**3*q + 10*f**2 - 14125*f*q + 2*q wrt a?\nAnswer: 16744812*a**2*f - 2*a*f**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*b = -509, -3 + 0 = b. Let l = 22 + -10. Calculate the remainder when n\/6 + 1\/6 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 871854343.30068193547 - 9723893.40068220147. Let n = 862130471.9 - c. Let a = -22 + n. Round a to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 3237002 in descending order.\nAnswer: 3237002, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = 2. Let c be (3 + -7)\/(1\/(-2)). Calculate the highest common factor of b and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*p + 4485*p + 14493*p - 56*p + (0*p - 2*p + 0*p)*(0 - 2 + 4) as w*p + t and give w.\nAnswer: 18869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/7)\/(r**(2\/9)\/r))\/((r*r**(-3\/7)\/r*r*r)\/r*r*(r*r**(2\/5))\/r) assuming r is positive.\nAnswer: r**(-646\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 - -103. Which is the closest to -1\/4? (a) 0.5 (b) -18 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -4*k**6\/15 + 5*k**2\/2 + k. Differentiate s(z) with respect to z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 1\/24*r**4 + 0*r + 0 - 4\/3*r**3 + 3*r**2. What is the first derivative of a(m) wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2078 + 4719 + 2752 + 3978 + 1121*f**2 + f**3 wrt f?\nAnswer: 3*f**2 + 2242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 292 = 2*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 9*o + 15. Let a be s(-8). Suppose -3*q = -93 - 15. Solve 5*k + 4*r = -q, 3*k + a = -3*r - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-5 - -6))\/(11 + -6). Let x = -38 - -44. Which is the biggest value? (a) i (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3602, -3583, -3596, -3653, -3766, -3947, -4208, -4561?\nAnswer: -5018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -627288, -1254575, -1881862, -2509149, -3136436?\nAnswer: -3763723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-6 - -16)) + 7 + -17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6931035.\nAnswer: 3, 5, 51341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2076)\/(-700) + -3)*(-35)\/(-21).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:50 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102047188 to the power of 1\/2, to the nearest integer?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.7 (c) -0.11 (d) -383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6174*k + 9*k**3 - 6*k**2 + 5*k**2 + 6689*k - 7*k**3 - 1 to the form x + t*k**2 + v*k**3 + a*k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -30*w - 360. Let c be g(-12). Sort 3, 2\/11, c, -1170 in increasing order.\nAnswer: -1170, c, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-1)*v*v*v)\/v*v)**36*v**(2\/15)\/(v**(-1\/13)\/v)*(v\/((v*v*v*v\/((v**2*v)\/v)*v*v)\/v)*(v*v**(1\/6))\/v)**(7\/4) assuming v is positive.\nAnswer: v**(73841\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 - 4*c**4 + c**4 + (-12*c**3 + 4*c**3 + 6*c**3)*(-6*c + c + 2*c) - 8*c**4 - 11*c**4 - 5*c**4.\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 23773968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2. Let r(o) be the third derivative of -o**5\/10 + 11*o**2. Give t(r(p)).\nAnswer: -108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 + 12*n**3 + 17*n**3 - 39*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2285 + 0.1.\nAnswer: -2284.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h. Let r(z) = -z**3 + 6*z**2 + 7*z. Let p(d) = -d**3 + d**2 + 3*d + 1. Let w be p(-2). Let a be r(w). Solve h = -a*o - 5*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/30 - (-1 - 2\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + (-2 + -1 + sqrt(891) - sqrt(891)))**2*-6.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812 - 1902 = 9*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33102311 (base 4) to base 14\nAnswer: -18b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 1. Solve 5*w + g = t, -2*w + 4*t = -0*t - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 6*d = 162 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193.96 - 189. Let u = b + -5. Let t = 4.0753 + -0.0753. What is the fourth biggest value in 2\/11, t, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21305.\nAnswer: 5, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 0.04, -1\/3, -58127, 4 in ascending order.\nAnswer: -58127, -0.9, -1\/3, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-776)\/152 - 312\/(-76). Solve -h + 0*p - p - 9 = 0, 0 = 5*h + x*p + 40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (110 + 9*g**2 - 110)*(-204 + 123 + 101) + 3*g - 6*g**2 - 4 + 4*g**2 + 2 to the form p*g**2 + v*g + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*p + 2674, 3*p + 1281 = 5*d - 744. Round p to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*r - f, 4 = -4*r - 0*f + 3*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1060)\/6*12\/(-150)*15 and 5?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/25)*h**(-27) assuming h is positive.\nAnswer: h**(-649\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161362703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24031 - 24018. Solve 2*r + 5*g = q, 1 = -r + 29*g - 24*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 + 1688*q - 26220 = 0. What is q?\nAnswer: -437, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 236679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from gkdzadkqkakqga.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 + -195. Suppose -2*y = 2*y + 4, 4*y - 31 = 5*f. Let q be 72\/(-14) + (-1)\/f. Sort 2, 0, v, q in increasing order.\nAnswer: q, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/360 - y**5\/45 - 5*y**4\/72 + 5*y**2. Factor q(h).\nAnswer: h*(h - 5)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/63? (a) 22 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 2881, 3 in increasing order.\nAnswer: -121, 3, 2881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:00 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6 - -2) + 12\/(-36)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + c - 6*c - 3*c - 3*c + 3*c + (3*c + 17 - 17)*(0 + 1 - 6).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r - 9 + 15 - 7 - 13. Let j be p(5). Calculate the greatest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 1309*q + 1382*q - q**2 + (q**2 - 2*q**2 - q**2)*(-2 - 1 + 5).\nAnswer: -5*q**2 + 73*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (5 - (-40 - 1)). Suppose -6*k + 7*k - q = 0. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 + 5*y + 10. What is a(-7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -350, -386, -418, -446?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6614*r + 1594012. Calculate l(241).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 6*c**2 - 23*c - 26. Let u(q) = q**2 + 25*q + 20. Let d be u(-24). Let w be y(d). What is the greatest common factor of 68 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3380*j - 3406*j + 572 = 0. Let f = 11 - 5. Calculate the remainder when j is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 114 = x. Suppose 2*i + 4*c - 7 = 29, -i + 3*c = -x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325864 - -285365005?\nAnswer: 285690869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -34971*l + 34949*l. Which is smaller: l or 538?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3*j + 4. Let t be d(3). Let n be 3\/(-6)*-8 - 2. Find the second derivative of 0*u**5 + n*u - t*u + 5*u**5 - u**5 wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23960.334 months?\nAnswer: 1.9966945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3838021053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0777 rounded to 3 dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-19 - -1 - -44)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 1 + 240)*4*1 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -329 - -333. Suppose 0 = -r*t + 5*c + 335, -3*t - 5*c = -5*t + 155. What is the highest common factor of 240 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 8*l - 9. Let y be u(4). Let m be ((-2)\/(-1))\/6 + 3\/y. Solve -3*w - 6 + 18 = m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1377)*-2)**2 + 1 - (-1 + (2 + sqrt(1377))*1)**2.\nAnswer: -18*sqrt(17) + 4130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(3\/120*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272076 and 48822.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/13268 and 31\/1096?\nAnswer: 3635432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, 1046, 3377, 6640, 10835?\nAnswer: 15962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 252\/55 - 22\/5. Which is the smallest value? (a) 13.6 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) -4 (b) -3\/7 (c) 2\/11 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4*2\/((24\/9)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.71 + 74.71. Let z = 6077\/715 - 459\/55. What is the second smallest value in z, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -15*m - 5. Let q(j) = -8*j - 3. Let o(h) = 9*q(h) - 5*x(h). Let w(s) = -4*s. Determine o(w(a)).\nAnswer: -12*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*j - 16 = -j, 5 = 5*j. Suppose -98*f - u = -99*f. Solve -h = 4*p - 7, -8*p + f = -2*h - 3*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -371*v**4 + 1 + 18 - v**3 - 1 - 19 to q*v**2 + g*v**4 + o + c*v + b*v**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - -1 - ((-712935)\/(-18711) + -31) and 59\/297.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*v + 22. Let h(y) = -y**2 - 24*y + 114. Let r be h(v). Solve g + 5 - 6 = r*a, 5*g + 8 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 155992056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 122904.\nAnswer: 1597752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000454258614 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-6)*10\/(-70)*-4. Sort 4, g, -0.09, 2\/5.\nAnswer: g, -0.09, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4 - 11571*i**2 - 2*i + 11571*i**2 + i**3. Let x be a(0). Sort 3, x, -2 in increasing order.\nAnswer: -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5170*l - 2721 wrt l.\nAnswer: 5170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k**9 assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1696 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107067 and 5607?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-28)\/(-6). What is the first derivative of 112 + 10*p**2 - 6*p**4 + 4*p**j + 23*p**2 - 11*p**2 wrt p?\nAnswer: -8*p**3 + 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4176 = 4*m - 6*g, 2*m - 5*g - 2102 = 0. What are the prime factors of m?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -463\/8. Which is the closest to -3? (a) q (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3678237 and 3186?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 50 (c) 16\/5 (d) -5 (e) -87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + -7.89. Let m be (4\/5)\/(18\/(-40)*-8). What is the second smallest value in m, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(91\/(-28) - -2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6847876382 to the power of 1\/2, to the nearest integer?\nAnswer: 82752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259972\/11 - -23626. Put p, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {j: 4, s: 1, e: 7, i: 2, v: 1, q: 3}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121915 (base 12) to base 9.\nAnswer: 486348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkmmttm. Give prob of picking 1 m and 1 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4 - 104663202*r**3 + 104663204*r**2 = 0.\nAnswer: -52331602, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-6)\/(-9))\/(11 - 786\/72) and 1128?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -22. Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-267)\/1335*(-30)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3337, 13784, 31353, 56050, 87881, 126852?\n\"Answer: h**3 + 3555*h**2 - 225*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Let w(u) be the third derivative of -119\/24*u**4 + 0*u + 0*u**3 + 0 + 99*u**2 - 1\/60*u**5. Calculate w(m(j)).\nAnswer: -4*j**4 + 238*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/120 - 11*u**5\/30 + 25*u**4\/24 + u**3\/3 - 16*u**2. Calculate the remainder when o(21) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5257076 to three decimal places.\nAnswer: 0.526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3570824 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850 - 11856*c**3 - 850 - 2*c**2.\nAnswer: -11856*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*u + 5, 0 = -2*l + 5*l + 2*u - 5. Let x = -0.39411 - -0.29411. Which is the closest to 3\/7? (a) -0.11 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10*t**2. Let l(z) = -54*z. What is l(s(w))?\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(2\/101)\/(k**(-4)*k*k**(-1\/2)))**(-7\/4) assuming k is positive.\nAnswer: k**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30352 - 30416.0054. Let q = h - -64. What is q rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - sqrt(504)*-3) + sqrt(56))\/sqrt(8).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (12 + -23 - 16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7026 + 1.7. What is q rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z**2 + 2. Let c be j(-2). Let n = c + -20. Let r = n + 47. Let h(m) = -3*m - 8. Give h(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:34 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -6*s + 21. Suppose -3*f + 4*c + 27 = -s, -3*c + 18 = 5*f. Suppose f*v = 37 + 5. Solve -3*l - 16 + v = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6611*v**2. Let l(s) = 8*s - 2996. Give l(i(t)).\nAnswer: 52888*t**2 - 2996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003089 to five dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.6265887 minutes to weeks.\nAnswer: 0.000359780625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.764462kg?\nAnswer: 1764462000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.0641242 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2301? (a) 3 (b) 0 (c) 497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13957606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8064 - 16127\/2. Which is the smallest value? (a) -2 (b) r (c) -0.061 (d) -33 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91192700 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16478.0559 to the nearest integer.\nAnswer: 16478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 30*l - 577. Determine h(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*r**2*v**3 + 42*r**2*v**2 + 110*r**2*v - r*v**3 + 9*v**3 - v**2 wrt v?\nAnswer: 462*r**2 - 6*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69601 is divided by 2784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/5 + -4\/5. Let x be -55*(-1 - 120\/(-132)). What is the biggest value in x, 4, b, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203.6 + -207.6. What is the nearest to d in 0.4, -4, 1\/18, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -27, 0.07?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 135.3, 0 in ascending order.\nAnswer: 0, 3, 135.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158184\/(-10816) + 15*1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1033050, 1033053, 1033056, 1033059, 1033062?\n\"Answer: 3*o + 1033047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o - 1847*o**2 - 1848*o**2 + o + 3696*o**2 + 82*o.\nAnswer: o**2 + 119*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/3 - -15*(-10)\/(-30)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-215)\/45 - -5). Let q(p) = -13*p**3 - p. Let v be q(-1). Suppose -2*a - a = -4*k + 10, -a + v = 3*k. Solve -a*u - u = r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1474, 1473, 1472?\n\"Answer: -z + 1475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*-8*1\/6*1\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111101111 (base 2) in base 7?\nAnswer: -110450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7128 divided by 4.\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g**(-3\/7)*g)\/g*g)\/g*g*g**1)\/(g**(2\/7))**(-8))\/(((g**(4\/5)*g)\/(g\/(g\/g**0)))\/(g**(1\/11)*g**1)) assuming g is positive.\nAnswer: g**(1597\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 2. Let y(n) = -n - 2. Suppose 30*g - 158 + 38 = 0. Determine g*y(j) - 5*c(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2312868, -2312889, -2312914, -2312943?\nAnswer: -2312976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (9 - (-1 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -37.4 (c) 10 (d) -0.03 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(75) + sqrt(75)*-2 + sqrt(75))*-1 - (sqrt(75) - -5*1*sqrt(75))**2) - -6*(-1 + sqrt(300) + 1)*-6.\nAnswer: -360*sqrt(3) + 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**7\/6 - d**4\/6 + 15*d**2. What is the second derivative of p(r) wrt r?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2090980 and 17\/2630.\nAnswer: 549927740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -590*w + 34799. What is o(59)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:36 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24334*p**4\/21 - 142830*p**3\/7 - 56718*p**2\/7 - 1062*p - 324\/7.\nAnswer: 2*(p - 18)*(23*p + 3)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1933*i - 460 + 344 - 3750 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 20*h**2 - 2*h**3 + 607*h - 622*h in the form f + d*h**3 + w*h**2 + x*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 11*k + 3. Let f be y(-11). Suppose t - 436 = -f*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s**2 + s. Let n be m(-2). Let k = n + -14. Calculate the remainder when k is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057505 + 1057505 + 5*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 92458112*n**2\/3 + 2137125526193021*n\/3 + 4274251422218498\/3.\nAnswer: (n - 46229057)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.213594 rounded to 3 decimal places?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfi when three letters picked without replacement from mciiypfp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -24. Let s = 34 + r. What is the smallest value in 3, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47059039 to the power of 1\/2, to the nearest integer?\nAnswer: 6860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 + j - 1. Let h be z(6). Suppose n - 2*n + 5*l = -46, -h*n = 5*l - 230. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*g**2*r**3*y**3 + 2*g**2*r**2*y**3 - 4*g**2*y**2 + 22*g*y**3 + 2*g + r**3*y**3 wrt r?\nAnswer: -648*g**2*y**3 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7728 (base 10) to base 7\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1316906 and 0.5?\nAnswer: 1316906.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(1260) - sqrt(35)) + sqrt(105)\/(2*sqrt(3)))\/((2*sqrt(1620) + sqrt(1620) - sqrt(20))\/(sqrt(16)*2)).\nAnswer: -25*sqrt(7)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -149, -370, -755, -1346, -2185?\nAnswer: -3314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 12*i - 37. Give f(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 6 = 4*w. Suppose -4*p + g + w = 0, 5*p + 0*g - 11 = g. Suppose -p*o - 139 = -3*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 0*c - 2297 + 2280 as m*c + a and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(3\/(-4) - (-8)\/(-32)). What is the nearest to k in -3, -6\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 4*v**2 + 5*v. Let o be s(5). Suppose 5*u + 3*q + 25 = o, 5*u + 0*q + 25 = -q. Let w = u - -8. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -163*y + 13740 + 37116. Calculate the remainder when y is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27626952 divided by -26\nAnswer: -13813476\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(28)\/(sqrt(16)\/sqrt(4)) + sqrt(847) + 0)**2.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1276 and 142912?\nAnswer: 142912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 39168 (b) 1\/3 (c) -63 (d) 3\/4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 8*h + 4. Let a be n(-6). Let w be 1 + 1 - (a + -2). Suppose -5*s + 20 + w = 0. Solve -2*z - 6*q + 3*q = -s, -2*q - 16 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r**3 - 3*r**3 + 3*r**2 + r**3 - 3*r**2 + (-3 - 1 + 3)*(0*r**3 + 0*r**3 - r**3) - 2 + 2 + r**3 + (r**2 + 3*r**2 + r**2)*(4*r - 4*r - 3*r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5254*j*l**2*t*z + 2*j*l**2*t - 3*j*t + 4*j*z - 2*l*t*z - 2*l + t wrt l?\nAnswer: 10508*j*t*z + 4*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1344 (base 5) to base 2.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 22 - 3*y - 84 + (y + 0*y + y)*(-4 - 3 + 5) + y - 2*y + 0*y + 2*y - 3*y + 4*y to the form a + x*y and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 201*o - 1848.\nAnswer: -3*(o + 11)*(o + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 11*l - 11. What is i(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**4\/8 + r**3 + r**2. Suppose -46*t = -51*t - 35. Let w(y) = -5*y - 11. Give t*v(i) - 4*w(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g. Let i(t) = -t**3 + t**2 + t. Let c be i(2). Let w(v) = 8*v - 5. Let k(d) = -9*d + 6. Let r(s) = 5*k(s) + 6*w(s). Calculate c*u(f) + 9*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from uujlkuuju.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-56)\/84?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 2. Let d(b) = 5*b + 1. Let l be d(0). Let w be x(l). Suppose w = 5*s + 809186 - 259186. What is s rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34346 = 4*o + 2*a, -332*a - 42937 = -5*o - 330*a. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3626 and 236282.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 350754 - 350938.229. Let i = a + -3.671. What is i rounded to the nearest integer?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46511235*o**2 + 407268416?\nAnswer: 93022470*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -12010414041?\nAnswer: -12010414044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 36*m**2 + 197*m - 4. Calculate v(41).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.1. Let z = 0.1 + t. Let n = 0 + z. Which is the second smallest value? (a) n (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3418 + -175. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*j = 2*h - 45, 2*h - 35 = -5*j. Suppose 4*z - 30 = -5*u - z, -14 = -2*u - z. Calculate the remainder when h is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 and (-2)\/(-3) - 4996\/6360?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:02 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -406320103*c**2*p**3 - 257*c**2*p**2 + 2*c*p**2 - 2*c*p + 12*c + 15537*p**2 wrt p.\nAnswer: -2437920618*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is 295 minutes after 9:31 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -1\/15*t**5 + 0*t**4 + 0 + 10*t**2 + 0*t + 0*t**3. Let n(i) = 10*i. What is n(b(u))?\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzyz. What is prob of sequence zz?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:03 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72*7 - (19 + -3)\/4. Let o = 497 - v. Let n(p) = p**3 + p**2 + 2*p + 4. What is n(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/60*21*(-4)\/(-6). Sort -4, 44, m in descending order.\nAnswer: 44, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29475757 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 s = 9 - 0. Let a = -15 + s. Let o = a - -6. Which is greater: o or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.3 (c) -5 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 99 = 3. Let z = a + -66. Suppose 7 = -q + z. Calculate the remainder when 113 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-9))\/(k*k**(12\/5)\/k))\/((k\/(k**(-1\/15)*k))\/(k\/(k*k**(10\/9)*k)*k)))**(-3\/13) assuming k is positive.\nAnswer: k**(-289\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 38, -33 in decreasing order.\nAnswer: 38, 5, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 3*c + 12. Let n be p(5). Solve -12 = n*z + z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 4. Let a be p(6). Let j = -1265 + 1263. Sort j, a, 3, 1 in ascending order.\nAnswer: j, 1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 15 + -11 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -100?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/973 - -1787\/154707. Let g be 6\/(-21) - 2295\/(-21). Let c = g - 108. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.2 (c) -22 (d) -0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 534 = 2*t, -2*a - 5*t - 22 + 277 = 0. What is the highest common factor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(96)\/sqrt(3) - sqrt(32))**2 + (1*sqrt(160))\/sqrt(5))*-4 + -3.\nAnswer: -1155 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -112 + 3 + (-45 - -21) + 37\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*b = 160*b + 16. Let v be ((-9)\/(-12))\/(((-168)\/128)\/b). What is the biggest value in v, 2, -10, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j - 36. Let f be o(-6). Let a be (3\/f)\/((20\/(-176))\/5). What is the highest common factor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(128) + -2*sqrt(128)))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(3 + (-22)\/6). What is the units digit of h\/(-5) + 13\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, -189, -737, -1807, -3573, -6209, -9889, -14787?\n\"Answer: -29*x**3 + 3*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.000004 - -5. What is o rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - y. Let r be z(2). Let v(n) = -n**3 + 2*n + 1. What is v(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 88. Let k = 45.09 + r. What is the closest to -0.1 in k, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a factor of 15615371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*v + 3*v = -28, 0 = 3*v + 6. Let r be ((-2)\/6)\/(d\/(-738)). Let o be r + 2*1\/(-2). Calculate the greatest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2394*b - 2382*b - 30720 = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 4*x**2 + x + 7. Let s be f(3). Suppose -5*q + 7 + 13 = -h, -q - 7 = 2*h. What is the highest common divisor of q and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*z + 1280 = 4*g, -2*g - 4*z + 510 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 84) + -78 + 1 + 6 + 13.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014853314 to seven dps.\nAnswer: -0.0001485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -2*o**3\/3 - 15*o**2\/2 - 6*o. List the prime factors of b(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 - (-36 - -22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 167078.\nAnswer: 1336624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25922324 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7099*v**2. Let j(p) = 14796118 - 14796118 - p. Calculate j(h(i)).\nAnswer: -7099*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*l + 23028 - 21354 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 15}. Give prob of sequence zbb.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/4 (c) 0.4 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**16\/o*o)**(9\/8)*(o\/(((o\/(o\/o**(5\/2)))\/o)\/o)*o)\/(o**(2\/15)*o))**40 assuming o is positive.\nAnswer: o**(2204\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (387*l**4 - 425*l**4 + 357*l**4)*(-22 + 6 + 2).\nAnswer: -4466*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2))\/(7\/2). Let i(m) = -m**3 + 2*m**2 + m - 2. Let f be i(2). Suppose f = -7*q + 10*q - 6. What is the nearest to z in 4, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(-52591 + 52578 + 45*p + 46*p).\nAnswer: 455*p - 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.43 + 0.3?\nAnswer: -30.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -20.91. Let p = v + -0.39. Which is the biggest value? (a) p (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 14*g + 5*y - 20 = 0, -4 = 3*g - y. Suppose g = -5*f - 10, a - 2 - 16 = 5*f. Solve 4*c + a = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and -1\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(10\/(-45)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8666219 grams?\nAnswer: 866.6219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/168 + t**6\/120 - 3*t**5\/80 - t**4\/48 + t**3\/12 - 8*t. Factor n(s).\nAnswer: s*(s - 1)**2*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 593 + 577. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-36) - (-78)\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x = -217 - 287. Solve -2*r + 2 = 2*j, 3*j - x = -6*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -20\/13, 2, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.99. Let v = -1.99 + h. Let j = v + 1.5. Sort -3, -2\/7, j in decreasing order.\nAnswer: -2\/7, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140003113 (base 5) to base 12\nAnswer: -29b179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582832 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -881 (base 14) to base 8.\nAnswer: -3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzymmyyzyyqzq. Give prob of picking 1 z, 2 m, and 1 q.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*w - 9*j + 12*j - 77 = 0, 5*w - 110*j + 160 = 0 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 12581?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13832 minus -2.500998?\nAnswer: -13829.499002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11*i + 32 = 0. Let u be ((-78)\/(-24) - 4) + 7\/i. Let z = -9.14 - -0.14. What is the smallest value in u, z, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = -3*l, -980 = a + 3*l - 982 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h. Let y(b) = -28*b. Calculate y(o(g)).\nAnswer: 168*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 57*h = 17*h - 0*h - 4*l - 300, -10 = -2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + v - 14 = 9*v - 6*v, 5*v - 172 + 6 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7 = -4*p. Let w = p - -11. Suppose 9*b - 12412 = -12376. Calculate the remainder when w is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 94 = -192. Let n(l) = -7*l**3 - 3*l - 11. Let z(x) = 10*x**3 + 5*x + 16. Calculate o*n(c) - 5*z(c).\nAnswer: -c**3 - 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -21 - 12033\/(-764).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*h + 2*h + 26, -5*c - 52 = -2*h. Let d(f) = -79*f + 37. Let m be d(c). Suppose 0 = 2*a - x - m, -5*x - 1669 = -3*a - a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -350 + 443 + 8*b + 17. What is x(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -16 + (-18 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 18625255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -1\/16*y**4 - 2*y + 0*y**2 + 3\/80*y**5 + 0 - 1\/4*y**3. Determine c so that f(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 1. Let p(y) = -1. Let m(a) = -5*p(a) + t(a). Determine m(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 - -99. Let m = 39.8 + o. Let g = -18 - -14. Which is the smallest value? (a) -0.4 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1415489 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/6 - 16*y**3 - 576*y**2 - 25*y + 2. Suppose j(r) = 0. Calculate r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672620 is divided by 461.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -355\/2 + 178. Put 2\/7, n, -4, 1 in increasing order.\nAnswer: -4, 2\/7, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 59 = -2*i. Suppose 0 = 3*d, 2*d + 16 = 4*z - 0*d. Suppose z*s - 1775 = -i. What is s rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 11*p - 4. Let h be f(9). Calculate the highest common divisor of 56 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 6*m)*(0 - 1 + 2)*(-4 + 4 + 2).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + d + 1. Let w be y(0). Suppose -2*v + 9 = -3*n, -n = v + n - w. Solve -v*s - 4*a + 0 = -1, 5*s + 5*a = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 - 94. Suppose 3*c + 9 - 3 = -l*u, -3*c = 2*u. Let b(r) = 3*r**3 - 2*r**2 + 3*r. Give b(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -4)\/((-6)\/28). Suppose 3*q - 102 = -3*i, -q + 145 = 3*q - 5*i. Calculate the greatest common factor of w and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(36*f**2 + 9*f**2 + 8*f**2 + (-4*f + f + f)*(f + 3*f - 2*f) - f + 0*f - 2*f**2 + 0*f**2).\nAnswer: -94*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -184022.534.\nAnswer: -184021.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*a + 75*a - 3060 + 6119 - 3059.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -2*n + 7*n. What are the prime factors of n\/(-6)*4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.5132l in millilitres?\nAnswer: 173513.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -263*z**2 + 263*z**2 - 21*z**4 + (-4*z**4 - z**4 + 3*z**4)*(-2 - 1 + 2) - 3*z**4 + 2*z - 2*z.\nAnswer: -22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbjn when four letters picked without replacement from jjjjnbbbjjnbjb.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 384\/(-80)*5\/(-6)*(-184)\/115. Sort -1\/4, -2, z, -0.08 in descending order.\nAnswer: -0.08, -1\/4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 678307.2 millilitres?\nAnswer: 678.3072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 + 17. Suppose -3*z + z = 0. Let f be w(z). What is the greatest common divisor of f and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 27*i**2 - 736*i + 208. Give u(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 + 6*w**2 + 3913*w. Let u(h) = -2*h**3 - 2*h**2 - 1305*h. Let f(m) = 11*u(m) + 4*y(m). Find the second derivative of f(s) wrt s.\nAnswer: -36*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 6*d - 9. Give n(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.6 + -76.6. Let v = u + 53. Which is the closest to -1? (a) 2 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/12 + 2*x**3 - 11*x**2\/2 + 10*x. Is 7 a factor of y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/15 + 47278*u\/3 - 2442056\/5 = 0?\nAnswer: 31, 118164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/4 - 22*l**3\/3 - 247*l**2\/2 + l - 121. Calculate the remainder when x(-7) is divided by (-2)\/5 + 304\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -104*t**2. Let g(l) = 274*l**2. What is m(g(f))?\nAnswer: -7807904*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - 10\/(-3). Suppose 0 = 8*f - 7*f + 4*j - 10, -3*j = f - 8. Solve 0 = -f*d + s - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20924, 20489, 19310, 17015, 13232?\nAnswer: 7589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 + -139. Suppose 2 = -0*d - 2*d. Is (m\/72)\/(d\/(-123)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1271141, 1271145, 1271159, 1271189, 1271241, 1271321, 1271435, 1271589?\nAnswer: 1271789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 168. Let t = 49 + z. Let n = 46 + t. Let k(f) = -f - 3. Calculate k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -18077423.\nAnswer: 8\/18077423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -7, 0 in decreasing order.\nAnswer: 14, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r + 3*r - 28*r + (-3*r + 2*r + 0*r)*(2 - 2 + 1)*(5 - 4 - 3).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131615933?\nAnswer: 47, 2800339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25215043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 367105 less than 286?\nAnswer: -366819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23626 (base 9) to base 3.\nAnswer: -210200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 177042461150 and -0.8?\nAnswer: 177042461150.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -33 + 0*g - 1\/24*g**4 - 1\/60*g**5 + 1\/2*g**3 + 15\/2*g**2. Let d(w) be the second derivative of h(w). Calculate d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**(-25)*(s**(-1))**(-26\/9))\/((s\/((s**(-1\/4)*s)\/s))**(-20)\/(s\/(s\/((s\/(((s\/s**(-2\/3))\/s)\/s))\/s))*s)**(-48)) assuming s is positive.\nAnswer: s**(-1075\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/10 - (-3)\/15. Does 4 divide (-12)\/((-6)\/2 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87306057, -87306060, -87306063?\nAnswer: -87306066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 775 - 379. Let u be p + ((-15)\/(-3) - (-2 - -7)). What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.0286054.\nAnswer: 0.00286054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1223?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.55 times -1\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*l + 49. Suppose 11 = 5*d - 74. Calculate the remainder when d is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*s + 28 - 132*s + 2214*s**3 - 8 wrt s?\nAnswer: 13284*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*b = 435*b + 252. What is the remainder when b is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1395*n**3 - 648*n**3 + 14*n**4 - 694*n**3 - n in the form r*n**2 + o + x*n**3 + c*n + v*n**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*w**3\/7 + 1842*w**2\/7 + 612*w\/7.\nAnswer: 6*w*(w + 102)*(3*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 6*h**2 - 15*h + 1. Let r be n(-2). Is -446*((-21)\/r)\/((-4)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times 1.2?\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50416 = -34*g + 59872 + 9154. Is g <= 3513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -234, -5 in increasing order.\nAnswer: -234, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 342*n + 253. Let f be s(6). What is the greatest common divisor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 14, f: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 218807, 218781, 218741, 218681, 218595, 218477, 218321?\n\"Answer: -p**3 - p**2 - 16*p + 218825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203354914.\nAnswer: 2, 7, 23, 631537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u. Let t(a) be the second derivative of 5*a**3\/6 + 5*a. What is t(n(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnec when four letters picked without replacement from {c: 1, e: 3, n: 2, v: 1, b: 11}?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12267 + -29587. Round m to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -90*d**4 + 2*d**3 + 262*d**2 + 164*d - 8. Let o(x) = -2*x**4 - x**3 + 2*x**2 + 2*x. Let u(a) = -4*o(a) + 2*w(a). Find k such that u(k) = 0.\nAnswer: -1, 2\/43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 68 + 76 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -835, -3359, -7577, -13483, -21071, -30335?\nAnswer: -41269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 502*w**2 - 506*w**2 - 11*w + 5*w to the form v + p*w + m*w**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14282 rounded to the nearest one hundred?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 6*k - 2. Let j be o(5). Let g be 1\/3 - 3\/(8 - -1). Suppose g = r + j*r. Solve l + 2*l + 3 = r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -12*f - 25. Let k(l) = 3*l + 6. Let h(v) = 2*c(v) + 9*k(v). Let p be h(-2). Is 11 a factor of -9*11*p\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - 160\/10)\/(-2 + 1). Let j be 3\/r + (-736)\/110 + 6. Which is the second smallest value? (a) 3\/8 (b) 7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c - 3. Let y(w) be the third derivative of w**5\/12 + 41*w**4\/24 + 5*w**3\/6 - 2*w**2 - 5. Let h be y(-8). What is j(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9595 + -5426. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 - 2 - o**2 - 6 - 27)*(-1 + 4 + 4).\nAnswer: -21*o**4 - 7*o**2 - 245","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410684 and 13612.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1190 + -8329\/7. Let u = 0.4 + 0.1. What is the third biggest value in u, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 5*g + 2. Let v(x) = -x**2 + 2*x - 1. Let i(n) = -17*v(n) - 6*y(n). Let w be i(-4). Solve -w*r + 20 = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -20 - (-4 - (-6 - 11))) + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 228500 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -20*b + 1. Let u(p) = 15*p**2 - 24*p - 1. Determine l(m) - u(m).\nAnswer: -15*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 - 2*r + 12. What is the least common multiple of m(0) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 18. What is the remainder when j is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67744822?\nAnswer: 2, 33872411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 16\/5*u**2 + 1\/15*u**6 + 6 + 10\/3*u**3 + 8\/5*u + 19\/10*u**4 + 14\/25*u**5. Factor t(y).\nAnswer: 2*(y + 1)**3*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 3:45 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = 190. Let r be 1896\/(-21) - (-4)\/14. Let o = z - r. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8235700 rounded to the nearest 10000?\nAnswer: -8240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -274b3 + -b?\nAnswer: -27502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/(49\/(-42)) + (-75)\/(-21). Let 0 - 2\/3*o - 1\/3*o**2 + 2\/3*o**3 + 1\/3*o**p = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245 a factor of 514658355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/10)\/((-24)\/(-660)). Suppose g - 27 = -g + 5*h, 5*g - v = h. Calculate the highest common divisor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiilqhhhqq. What is prob of picking 1 h, 1 i, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378\/5 - 75. What is the smallest value in -0.2, u, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 118800?\nAnswer: 118800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*((-85)\/(-15) - 3). Let n(r) = -126*r**2 - 37. Let z(w) = w**2 - 2. Let v(f) = c*z(f) - n(f). Differentiate v(g) wrt g.\nAnswer: 244*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 at least as big as -2479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 - 41 - (-119 + -12).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*w = -27, 5*k - 12 = 3*w + 42. Let u = 16 - k. Suppose 0 = -u*x + 8*x - 2. Solve -4 = 2*h + x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -38*m + 31*m. Is 6 a factor of 2416\/m + -3 + (-153)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + 3553?\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-3))\/(44\/(-66))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (84\/16)\/(3\/8). Suppose f*s - 12*s = 4. Find the second derivative of -8*x**s - 5*x + 0*x - 8*x**2 - 2*x wrt x.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(1\/4))**(-2))**31)**(-8\/3))**28 assuming w is positive.\nAnswer: w**3472","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8148 or -6.7479?\nAnswer: -6.7479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0254604 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72652, 72781, 72910, 73039, 73168, 73297?\n\"Answer: 129*z + 72523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**3 - 16*y**2 - 6. Suppose -7*u = -11 - 10. Let f(x) = -x**3 - 3*x**2 - 10 + 0 + u + 6. Give -16*f(k) + 3*v(k).\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 16. Let s(m) = m**2 + 11*m - 6. What is the remainder when s(-12) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59387, 118872, 178561, 238556, 298959?\nAnswer: 359872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -0.5. Let i = f + 0.2. What is the smallest value in i, -0.3, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165550 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l. Suppose l = -q + 96 - 39. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 8*y**2 + 11*y + 3. Let k be q(-9). What is the tens digit of ((-48)\/20)\/(2\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 182, 407, 722, 1127, 1622?\n\"Answer: 45*j**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872) + sqrt(13) + -1 + sqrt(52))**2 + ((-1 + 1 + sqrt(13))*-5)**2 - (-3 + 2*5*1*sqrt(117)).\nAnswer: -60*sqrt(13) + 3254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16248 by -230.\nAnswer: 8124\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/3 and (-12 + (9 - 3))*2\/(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**12*l*l*l**2)\/((l**(4\/5)*l)\/l**32))**(-12\/17) assuming l is positive.\nAnswer: l**(-2832\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-7)*5*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -734, -964, 72 in increasing order.\nAnswer: -964, -734, -2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 70928834*i. Let l(f) = -2*f. What is l(h(n))?\nAnswer: -141857668*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1144*p + 250. List the prime factors of i(2).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**6 + 3*g**6 - g**6 + 219*g**2 - 585*g**5 + 661*g**5 wrt g.\nAnswer: -120*g**3 + 4560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(1 + sqrt(76)).\nAnswer: 9 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 28*q + 125. Calculate o(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4\/7 + 24*b**3\/7 - 188*b**2\/7 - 96*b + 448.\nAnswer: 4*(b - 4)**2*(b + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (161298\/77868)\/(1\/(-14))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 303317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*o**5 + 402*o**4 - 237*o**3 - 1278*o**2 - 672*o - 96 = 0. What is o?\nAnswer: -1, -1\/3, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + sqrt(5) + -1) - sqrt(40)\/(-2*sqrt(8)))**2.\nAnswer: -39*sqrt(5) + 881\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35120 - 33947. Calculate the greatest common factor of p and 2760.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 24*b + 38. Let o be w(-9). Let m = 146 - o. Solve 5*k + 8 + 7 = m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 + -1 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23\/3? (a) 0.12 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnntnttntttyngs. Give prob of picking 1 y, 1 t, and 1 g.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 3 - 3 + (3 - 2 - 5)*(b + 2 - 2) + 0*b + b + 0*b)*(3047*b + 36*b**2 - 3047*b) in the form q*b**3 + r*b + p*b**2 + a and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 22*a - 8. Let l(s) = 9*s - 3. Suppose 0 = 17*d - 72 - 132. What is d*l(u) - 5*y(u)?\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 43748b0?\nAnswer: -43748b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -759 or -758?\nAnswer: -758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/4 + 23*o**2\/2 + 697*o\/4 + 867 = 0.\nAnswer: -17, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0213 minus 0.21?\nAnswer: -0.1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8638771 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n**3 - 108*n**2 - 170*n - 1. Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4.3. Let r = -1.7 - n. Let d = 145\/7 + -2769\/133. Which is the biggest value? (a) -4 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/26875461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89\/186 + -2\/93. Suppose 3*t + 7 = -w, 3*w - 12 = 6*w. Which is the nearest to t? (a) 0.3 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*(-4)\/(-4)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 6, b: 4, u: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 377, -2?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l - 9956. Let f(y) = -33*y - 19896. Give -4*f(d) + 10*p(d).\nAnswer: 2*d - 19976","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**2\/2 - 1478. Let h(i) = -4*i + 36. Give h(a(v)).\nAnswer: 4*v + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 174. Suppose -5*n + 3*b = -351 - 1024, -n + 5*b + 253 = 0. Let s = w + n. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -l - 3, 0 = 5*o + 4*l - 3*l - 9. Let x = o + 1. Suppose 2*s = -i + 5, 24 = 3*s - x*i + 3. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - d - d + 4)*(4 - 1 + 5 + 0 + 0 - 2 + 2 + 0 - 1 - 5 + 2 + 2 + (-1 + 3 - 3)*(3 + 3 - 4)).\nAnswer: -8*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/5628 and -125\/3732.\nAnswer: 1750308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k + 34*k = 36. Let m(a) = 14*a**2 + 24*a + 11. Is m(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28130 and 870.\nAnswer: 84390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11 - (-20 + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -168*o + 7. Let y be a(-8). Let p = -4016\/3 + y. Let h = 2186560\/41 - 53332. What is the common denominator of p and h?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 256. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1167 + ((-25)\/10 - 2\/(-4)). Suppose 3490 = 5*y + j. What are the prime factors of y?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(-o**2 + 2*o**5 + o**2) - o**3 + o**3 + o**5 + 9*o**5 - 6*o**5 + o**5 + (-3*o + 2*o - o)*(o**4 + 3*o - 3*o).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 30 = -84 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 416, 5 in descending order.\nAnswer: 416, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 348543838*w + 330822194?\nAnswer: 348543838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3869.\nAnswer: 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6366.\nAnswer: 2, 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 5, u: 1, y: 6, f: 1, m: 1}. Give prob of sequence vvy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.65 + -0.15. Let o = -0.3 - f. Which is the closest to 2\/3? (a) o (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26445 by 6668.\nAnswer: -26445\/6668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/60 + y**4\/24 - y**3\/3 + y**2. Suppose 0 = -5*l - 4*o + 5, 3*l + 3 = 2*o - 16. Give b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -6 - (1 - 8). Suppose 0 = s - 5, 0 = -h*v + 5*v + 5*s - 36. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*c**4 - 9*c**2*o**3 + 2*c**2*o**2 + 1672*o**3 + 3*o**2 wrt c?\nAnswer: 52*c**3 - 18*c*o**3 + 4*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c. Suppose -5*l = 9 + 21. Suppose 5*d = -25, -4*a = 4*d - d + 7. Let v be l + 3 + a*4. Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/60 - 3*g**5\/20 + g**4\/24 + 19*g**3\/6 - 6*g**2 + 6*g. List the prime factors of w(-8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 221*h**2 + 468*h**2.\nAnswer: 696*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and -81\/4652.\nAnswer: 23260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/3)*r)**(-2\/117)*(r*r\/(r*r\/(r**(1\/14)\/r))*r)**(-50) assuming r is positive.\nAnswer: r**(-8873\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 5. Suppose 0 = s*q + 5068533 + 15911. Let p = -58889 + q. Round p to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/1135 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 16*y**2 - 2*y - 31. What is u(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) -5 (c) 0.05 (d) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*q - 72*q - 60*q + 36*q.\nAnswer: -172*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 861468, 861436, 861404, 861372, 861340, 861308?\n\"Answer: -32*i + 861500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 898 and 22*(-9)\/24*(0 - 12\/9)?\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:19 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thsvhvshtsshhtchtvh. Give prob of picking 3 t and 1 s.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 - d**4\/4 + 5*d**3\/6 + 3*d**2\/2 - 2*d - 267. Let t(o) = o**3 - 4*o**2 - 5*o - 4. Let n be t(5). Determine i(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35059499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-5))\/(l*l\/l**(-4\/3)))\/(l\/l**(2\/5))**(2\/51))\/(l\/(l\/(l*l\/(((l\/(l**(1\/2)*l))\/l)\/l)*l))*l**(2\/5)\/l*(l**(-8)\/l)\/l**(1\/7)) assuming l is positive.\nAnswer: l**(24583\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + -0.18. Let c = r - -0.04. Are c and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**4\/2 + 259*k**2\/2 - 1382*k - 1138. Find the first derivative of c(r) wrt r.\nAnswer: -6*r**2 + 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*m + 10, -m = -4*g + 2*g + 7. Solve -2*w = -q - 3, 15 = g*q - w + 3*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-2 - (-8)\/3)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74242 is divided by 375.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -3. Let d(m) = 6*m - 2 - 3*m + l*m**2 - 5*m**2. Determine d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 3*f**2 + 4*f**2 + (0*f - f - f)*(-3*f + 5*f - f) - 29*f - 4*f**2 + 12*f + 18*f in the form w*f + o + y*f**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20838803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -414572.\nAnswer: -414605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/9)*y)\/y)\/y)\/(y\/(y**5\/y)*y)*y\/(((y\/y**(-5))\/y)\/y)*y**(2\/7)*((y*(y\/(y**6\/y*y))\/y*y*y)\/y**2)**45 assuming y is positive.\nAnswer: y**(-14276\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:41 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4662 - -65299\/14. What is the common denominator of f and -81\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 12*(-10)\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(-3))\/(f\/f**4*f)*(f**(2\/9))**(-21)*(f**(-2))**(-11)*f**(-2\/21)\/f*f**7\/f assuming f is positive.\nAnswer: f**(509\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -825*m**3*r - m**3*t - 17*m**2*r + 2*m*r*t + 4*m*r + 2*m wrt m.\nAnswer: -4950*r - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Let o = 47 + -27. Let l = 28 - o. What is the lowest common multiple of w and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.99 + -40. Let z = b + 19.01. Let j = z - 21. What is the second smallest value in j, -4, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -0.0436\nAnswer: -0.7848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(4400) + (sqrt(4400) - (-1 + sqrt(4400))))*-6 + -5)**2.\nAnswer: 2640*sqrt(11) + 158521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + -223.24. Let j = -283.7118 + 278.42. Let n = u - j. Round n to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = k + 4*f - 11, -4*k - 2*f = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 4, y: 6, b: 6}. Give prob of sequence yyg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.8 in -9, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 + 562*b**3*z + 3273*b*z wrt b?\nAnswer: 40*b**3 + 3372*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 147.53332?\nAnswer: 142.53332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*b**4*p**3 - b**4*p - 1010*b**2*p**2 - p**3 wrt b.\nAnswer: -3456*b*p**3 - 24*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 1011?\nAnswer: -100c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*w + 30 = 0, 5*q = -2*w + 14 + 3. Suppose 5*r = 5, -2*r = -q*v - r + 19. What is the remainder when 37 + 0 + (2 - v) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.162 - -1.16196212. What is z rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 28. Solve -2*y + 3*y = -c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - 5*r**2 + 2*r**2)*(24478*r + 77*r**2 - 24478*r)*(-4 + 2 + 0).\nAnswer: 1386*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4740 * -2900\nAnswer: 13746000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(228) - (sqrt(228) + sqrt(228)*-1 + sqrt(228)))*-6)\/(sqrt(96)\/(sqrt(8)*4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(1\/3). Suppose 0*a - a - f = 0. Let x be 1\/3 + a\/(-12). What is the closest to x in -0.1, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/16 and 79\/9540?\nAnswer: 38160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 2*l + 1. Let f be t(-1). Let w(c) = c + 15. Let h be w(-3). Suppose -2*a - 23 = 2*m + 3*m, -3*m - h = 3*a. Put a, 4, f in decreasing order.\nAnswer: 4, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -685 (base 9) to base 4\nAnswer: -20303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -727*w**5 + 354*w**3 + w**2 - 526763*w wrt w?\nAnswer: -14540*w**3 + 2124*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -0.144743\nAnswer: -5.934463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:34 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 199, -0.1, 4\/11, 4, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21b1 - 2436b?\nAnswer: -2217a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 80.2 (b) 9.63 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -10*w + 8*w. What is the lowest common multiple of w and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 + 79*c + 327. What are the prime factors of f(51)?\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -51. Let t = 17.8 + j. Let u = -2 - -2. Is u > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 570 + -301. Let i = c + -222. Calculate the remainder when i is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981 is divided by 424?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose -y - u + 4 = 0. Let o be 96\/10 + 16\/40. Solve w + 7 = -3*p - 0*w, -y*w = -o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23183579.\nAnswer: 43, 539153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(264\/(-32)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1129.7419089848?\nAnswer: 1120.7419089848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -3*l - 66. What is the common denominator of 93\/94 and 2*(-243)\/l + (-12)\/3?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0.1 (b) 0.4 (c) 2\/11 (d) -1 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - z + 3*z + 25, -3*z = -4*w - 45. Is 170\/6*w\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 2)*(6*u - 5*u + 7*u) + 2*u - 4*u - 15*u + 3 - u - 3.\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3 - -5) + 3)\/6. Let k = -1\/6 + v. Sort 5\/8, k, 2 in descending order.\nAnswer: 2, k, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18. Suppose 4*t - 16 = -4*i, -6 = -3*t + n*i + 24. Suppose -254 = -2*h - 5*l, h - t*l + 3*l - 140 = 0. Round h to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(3\/7)*a*a**(2\/13)*(a\/a**(-2\/5))\/a assuming a is positive.\nAnswer: a**(772\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 7. Let i be a(5). Let p(g) = 0 + 4*g - 1 + 0*g**i - 1 - g**2. Let v = -5 + 9. What is p(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 47 = q. Calculate the remainder when q is divided by ((-20)\/(-8))\/(1 - 29\/34).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 13, 1, -27, -77, -155?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 36 = 0. Let i = a + 1. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*63\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let k(x) = x**3 - 16*x**2 + 23*x + 7. Let u be k(14). What is the units digit of ((-1)\/l)\/(9\/u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 2*b + 4 + 2*b. Let d be k(-3). Which is bigger: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 2*u + 19. Let n be l(9). Let y = 72 + n. Let g be (-2)\/(-6) + y\/6 + 1. Solve g*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 4*j + 9*j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*m - 8*m. What is the remainder when m is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -15*u**2 - 104*u + 15. Determine q(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -775*-14006\nAnswer: 10854650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58.8? (a) -20 (b) -4 (c) -1 (d) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, p: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/80 and -111\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47174 and 308234?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18954 = 8490*w - 8247*w for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-71.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 100. Let y = -59 + 61. Suppose 6*n - d = -y*u + n, 0 = -u + n + 6. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m - m)*(-3 + 11 - 2)*(m**3 - m**3 + 5*m**3).\nAnswer: 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182047963.\nAnswer: 182047963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from ttttyyyedyllteee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1465.17831 - 0.02169. What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = -20. What is the second derivative of -v*h + 13*h**3 - 10*h - 7*h + 6*h wrt h?\nAnswer: 78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1865 - -1997. What is the highest common factor of 164 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 2*u - u)*(-3*u + 0*u + 0*u) - 5*u**2 + 6*u**2 - 3*u**2 + (-2 + 3 + 2)*(-6*u**2 + u**2 + 2*u**2) to the form c*u + z + y*u**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5 + 20. Suppose 10 = 3*a - y. Suppose 3*l + 2 = a, -5*r = -5*l - 15. Calculate the least common multiple of 18 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhhhhhpnhhhphhhphh. What is prob of picking 1 n and 1 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12*8.72\nAnswer: -104.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703440486.\nAnswer: 2, 3, 7, 53, 105337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3754467.000092 + -3754406. Let w = x - 61. What is w rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34745 by 1.\nAnswer: -34745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37090368 and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 12978.6\nAnswer: -10382.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23298 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 91820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.88 - 0.12. Let z = d - -16.7. Let r = -15 + 59\/4. What is the biggest value in z, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053 + 0.28.\nAnswer: 0.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 20 - 2 + 0*m + 0*m - 5*m**2. Let c be t(12). What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 times -7.1?\nAnswer: -1469.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 + 832 + 827 - 1667 + t in the form i + j*t**2 + o*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-39)*(-6)\/(-5)*(-4)\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17746?\nAnswer: 2, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527*y - 352 = -531*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 8*o**3\/7 - 1156*o**2\/7 + 244*o + 1144\/7 = 0.\nAnswer: -1\/2, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 7*r**4 - 5*r**4 + (-5*r + r + 3*r)*(-4*r**3 + 0*r**3 + 3*r**3) + 3*r**4 - 2 + 2 as t + c*r**2 + l*r**4 + u*r**3 + b*r and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6379, 12757, 19135, 25513, 31891, 38269?\n\"Answer: 6378*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-15)*-6 - -7. Let m be b*((-50)\/(-3) + -4). Let d = m - 31. What is the remainder when 40 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 + -59?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1886098 and 90352?\nAnswer: 15088784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39215570 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, o: 12, y: 1, e: 3, v: 1}. Give prob of sequence gey.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2881?\nAnswer: 8643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -0*y. Is (145\/y)\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1360 + 2211. List the prime factors of k.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23867, 23855, 23843, 23831, 23819?\n\"Answer: -12*y + 23879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n**3 + 34*n**2 - 11*n - 7. Let i(c) = -18*c**3 - 35*c**2 + 10*c + 6. Suppose 2*g + 2 = 6. Let b(w) = g*r(w) + 3*i(w). Factor b(f).\nAnswer: -(f + 2)*(4*f + 1)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -0.504621?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13074752 from -733.\nAnswer: 13074019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -787337, -787336, -787335, -787334?\n\"Answer: j - 787338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9185959322 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -240.9 + 241. Let g = 8 - 23. Let j = -10 - g. Which is the nearest to k? (a) -2\/5 (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-6) - 3\/(-18). Suppose 39 = 4*x + d + 139, -p*x - 100 = 3*d. Let a be 10\/x + 56\/(-10). Which is greater: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, n: 2, d: 4, u: 8}. Give prob of picking 4 d.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -4556.\nAnswer: 4\/1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1182, -5, -4, 0, 2 in descending order.\nAnswer: 1182, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1235464, -1235486, -1235510, -1235536, -1235564?\nAnswer: -1235594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/21 + 49 + -35 + 58\/77.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4509\/45 + (-1)\/5. Let y be (-4)\/(-10)*i\/8. Suppose 0*d + 2 = d, 4*d = y*r - 427. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + 5831\/19698. Let m = q - -104\/3685. Do m and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -4b4?\nAnswer: -4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -175? (a) -20 (b) 12 (c) -0.3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -4*q - 9. Let a(k) = -k + 5. Determine -2*a(y) - 3*t(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10.6 - -2.7072470363\nAnswer: 13.3072470363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -59. Suppose -640*w + 678*w - 228 = 0. Is w at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -48.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**22)*p\/(p\/(p**(3\/4)\/p)*p))\/(p\/(p\/(p*p**(-2\/5)))*p**22\/p))**(-48) assuming p is positive.\nAnswer: p**(10764\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 9*c - 11. Calculate the least common multiple of (0 + 2)*(-40)\/(-16) and v(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.8 + -22. Let r = 3.2 + y. Which is the third smallest value? (a) -5 (b) r (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133044 - 10?\nAnswer: 133034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 12\/11 in decreasing order.\nAnswer: 12\/11, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2230 divided by 5\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/2 - 14. Let d be (-2)\/(-7) - (-2)\/42. Let j = 5.042 + -8.042. What is the closest to z in 0.01, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q - 189*q - 42 = -78*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(54\/21) + -1. Suppose -n + 3389 - 3396 = 0. Which is the closest to n? (a) -5 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 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: Does 12 divide (0 - 3) + 35*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:51 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 0*b + 2*b**2 - 9*b - 5*b**2 + 5. What is the tens digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23264\/(-49436)*(-221)\/(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 5*g**2 + 4*g + 3. Let o be x(-3). List the prime factors of 1 - 4\/3 - 3516\/o.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t. Let z(h) = -14*h**2 + 10. Let c(j) = -8*j**2 + 6. Let k(s) = 5*c(s) - 3*z(s). What is k(n(x))?\nAnswer: 722*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 673997*b*c + 10*b - 23452 wrt c?\nAnswer: 673997*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5 - 3 - 28*c + 26*c. Suppose 0 = 5*i + 4*g - 13, 4*g - 7 - 3 = -2*i. Suppose 6 = -h - 4*v, 2*h - v = -4 + i. Determine j(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/(-20)*(-4)\/(-3). Suppose o*z = 3*z + 9. Solve 0 = -z*r - r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 279, 930, 2195, 4278, 7383, 11714?\n\"Answer: 34*z**3 + z**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 477 = x, -2*x - y + 685 = -294. Let j = x + -304. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102421 is divided by 12799?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 3*t - 41. Let k be b(10). What are the prime factors of (k - 4)*(-6)\/15?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*858.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1161848 divided by 8?\nAnswer: -145231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16392 at least -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 10 - 2613*i + 2374*i - 43*i**2.\nAnswer: -43*i**2 - 239*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489538 is divided by 263.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -5897 - 2101. Calculate the highest common factor of 62 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -246550 and -246548 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1. Let m be 2\/(-6) - 4004\/(-78). Let v(q) = q - 139 + 48 + m + 46. Let f be (0 - -1)\/1 + -3. Give f*v(r) + 11*d(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3*b + 3*b)*(0 - 7 + 1) + (-b - 4 + 4)*(-b - 3*b + 3*b) + 0 + 0 - 2*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 270 + 259 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:53 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((-1 - -22) + -25)) + (-1 - -32)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*b + 105 = 0, -3*v + 3*b + 16 = -83. Suppose -d + f = -3*f - 6, 3*d + 4*f + v = 0. Is ((-471)\/d)\/(2\/4) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 503\/7 + -72. Let v = -11 - -8. Which is the nearest to -1? (a) z (b) 2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.64520736 to three decimal places.\nAnswer: 4.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n - 2. Let g(w) = 2*w**3 + 4*w**2 + 17*w + 16. Let m(u) = g(u) + 3*h(u). Let o be m(7). Solve 3*a + a = -o*s - 29, 3*s + 34 = -5*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 3*s - 5. Let n be u(-4). Let w be -1*(n - -1)\/4. Suppose -5*b - 5*x + 1755 = 0, -b = -w*b - x - 341. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n + 28. Let b = n + 25. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.32 - -1.32. What is the nearest to -2 in -5, b, -19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 - 13*j**3 - 2*j**3 + 7*j**3 + 13*j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/29871 and 2\/43147.\nAnswer: 388323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 - 3)*(2 + 2 - 1) - 776 - 670 - 104)*(-1 + 1 - 2)*(-n + 0 + 0)*(-1 + 1 + n**3) to f*n**2 + t*n + o*n**3 + u + k*n**4 and give k.\nAnswer: -3106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 3622685?\nAnswer: -3622681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 (base 11) in base 2?\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 - 11*c + 9. Let d(t) = 4*t**2 + 22*t - 19. Let a(k) = -4*k**2 - 21*k + 18. Let n(u) = -6*a(u) - 5*d(u). Give -5*n(g) - 7*s(g).\nAnswer: g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -48*y + 50*y. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42294091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1 + (-18)\/(-22)). Let z = d + 15. Sort -4, 3, z.\nAnswer: -4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3910891 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.45 - 0.05. Let x be ((-12)\/(-18))\/((-4)\/24) + -1. Put x, 0.5, o in decreasing order.\nAnswer: 0.5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/3 - 2*a**4\/9 - 14*a**3 + 18*a**2 - 40*a\/9 = 0. What is a?\nAnswer: -5, 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013201332 (base 4) to base 9.\nAnswer: -485814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/(3 + 13)*(1 - 12\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12837141*a**2 - 35637205*a.\nAnswer: 25674282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1655 and -1645 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 240053 (base 8) to base 9\nAnswer: 134380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = n + 2*k + 68, -n = 3*k + 60. Let h = n - -60. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29550933390 + 2.7.\nAnswer: -29550933387.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-792353.\nAnswer: 158470.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 2)\/(8\/6). Solve 0 + 3 = d*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 4\/5*s - 5 - 2\/5*s**2 + 1\/15*s**3. Suppose x(d) = 0. What is d?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -39*b**4\/4 + 383567*b**3\/4 + 104078233*b**2\/4 + 6963048617*b\/4 - 178676589\/2 = 0.\nAnswer: -133, 2\/39, 10101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 h when three letters picked without replacement from {n: 2, w: 1, h: 4, u: 10}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9957736, -9957734, -9957732, -9957730, -9957728, -9957726?\nAnswer: -9957724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 + -28.8. Let p = -4369.03 + 4335. Let q = u - p. Round q to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/20 + c**4\/12 - c**3\/6 + 4*c**2 + 3*c. Calculate the remainder when f(0) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*v + v - 6*v)*(0 - 3 + 2) + 0*v + 0*v + 2*v to l*v + j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/((4 - 3) + 0)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*a + 14 - 39 = 0, 24 = a + 3*a + 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7614*i + 6192*i - 903473 = -254591 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 898182*o - 201682726281.\nAnswer: -(o - 449091)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -15, -53, -103, -165, -239, -325?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/25372 and 81\/16.\nAnswer: 101488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 4*m**3\/3 - 3*m**2\/2 + m + 17. Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1041 + -244. List the prime factors of j - (-2 - (-9)\/((-27)\/(-12))).\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*o + 5 + (313 - 590 - 184)*(-2 + o + 2) + 2*o - 3*o - 1 + 0.\nAnswer: -460*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78.5 and -3.\nAnswer: 75.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*r + 5*d - 3, -4*d - 71 = -5*r. Let q be -3 + (-1 + 4)\/3. Let g = r + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**6\/15 + c**5\/4 - c**4\/4 - 37*c - 3. Factor l(x).\nAnswer: x**2*(x + 3)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from bdkbkdbdkbubbdiud.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 4, 0, -3, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 454291141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -4 + 2*sqrt(5) + 1)*-6.\nAnswer: -18*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 2\/5 in descending order.\nAnswer: 6, 5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 34. Let m = i + 13. Solve 0 = 3*v - m + 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.63 + -20.73. Let r = -62 - -62.02. Which is the nearest to -2? (a) r (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 171, -1.1, -47, -0.4?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 8*g**2 + 21*g + 6. What is the units digit of x(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 47. Let t = f - 31. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*w = -13, 219*r - 221*r - 7*w - 29 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764891 is divided by 254856.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 1. Let c(f) = -9*f - 2. Suppose -7 = -3*k + 2. Calculate k*c(v) + 7*d(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2. Let a(u) = -u. Let o(y) = -12*y. Let l(q) = -42*a(q) + 3*o(q). Determine w(l(v)).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1 - 0)*2. Suppose 0 = t*f - f - 30. Suppose 0*j - 2*j + f = 0. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4631 + -3212. Suppose k = 3*m + 3*k - q, -4*k = 5*m - 2363. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 403889 and -51.\nAnswer: -20598339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**2 - 13*b + 31. Let r(f) = 3*f**2 + 6*f - 16. Calculate 9*r(n) + 4*u(n).\nAnswer: -n**2 + 2*n - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let c be f(-1). Suppose 0 = k + c - 2. Let h be 3\/(-3) + 0 + k. Solve h = 3*u - x + 1 + 2, -5 = 5*u - 2*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (-3*(-6)\/(-27))\/((-2)\/(-21)). Solve p*c - 12 = -3*h, 4*h = 2*c + 2*h + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 119*t - 122*t - 4*u, -3*t - 14 = -u. Let v be 4*(1 - 2) + 1. Sort t, v, -9 in increasing order.\nAnswer: -9, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277 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: Which is the closest to 0.3? (a) -2\/7 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 5:55 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a**(3\/5))\/(a*(a\/(a\/(a**(-1\/11)\/a)))\/a*a*a\/(a*a**2)) assuming a is positive.\nAnswer: a**(-193\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2968 and 1166.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f + 293 = 118 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -127, -1, 1, 8 in decreasing order.\nAnswer: 8, 1, -1, -2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 5*t**2 + t - 5. Let p be y(5). Let s = p - 0. Find the second derivative of c + 2*c**4 + c + s*c**4 wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -19. Suppose -h*n = -5*d + 69, -5*d = -n - 29 - 52. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000812306 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.047 - 1.773. What is u rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 2*t + 1. Let g be c(-2). Let i be 2*(g - (-3)\/(-6)). Let n be i + 0 - (-5 + 1). Solve 3*b - 4*b = -n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/10 and 137\/762.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 28, 63, 112, 175?\n\"Answer: 7*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*p + 10, 0*a + 2*p - 12 = 2*a. Let u = a + 7. Let w(i) = i**3 - 2*i**2 + i - 2. Calculate the remainder when w(3) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 - -254. Suppose v + 56 + w = 2*m, 2*v = 5*m - 433. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/6 + 2)*54\/12. Is (16\/20 - 0)\/(z\/(-165)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 58. Suppose j - z*l = -18, -l = -3*j - 3*l + 16. What is the smallest common multiple of j and (1\/(-3))\/((-6)\/36) - -18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -3 - (-42 + (23 - -9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1)))\/(f*f**(-40)))**(4\/19) assuming f is positive.\nAnswer: f**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12046536 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/18*3\/(-2). Suppose 4*m + x = 21. Solve 4*s - 24 = -m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (1 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 6*t = 1701. Let g be ((-24)\/(-1))\/((-16)\/200). Let a = g + t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1)*-2)\/((-31224)\/11709)*(-224)\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 9 - 9) + (-6290)\/(-425)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15\/6*((-590324)\/(-35) - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 + 73*w - 374. Let a be m(6). What is the highest common divisor of 11 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:50 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 57 (c) -46 (d) 0.3 (e) 0.045 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5264811 and -0.4.\nAnswer: 5264810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 408\/11. Sort 1\/2, 2\/7, 2, o.\nAnswer: o, 2\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0.2, -2, 6\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.2. Let c = -0.06 - -0.16. What is the nearest to c in 0.2, 2\/5, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*n - 125*n - 348 = 204*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-1 - -6) - (-4880 + 4888).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x**2 - 165*x + 375. Give c(6).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1026856 (base 11) to base 16\nAnswer: 1b9dc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18) - 3\/(27\/(-1033)). Let w(r) = -28*r - 5. Let h be w(-1). What is the highest common divisor of h and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2761*h**2*l*m + h**2*l - h**2*m - 261*h*l*m + 3*h*m + 2*l*m - 22 wrt h.\nAnswer: 5522*l*m + 2*l - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90634363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - ((-168)\/(-24) + -21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -183 (c) 948 (d) -0.034 (e) -1\/5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -4717267.\nAnswer: -28303602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93023\/25 + 3722. Let x = 346893 - 6937947\/20. What is the common denominator of v and x?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -666998 + 31?\nAnswer: -666967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 125240336 rounded to the nearest ten thousand?\nAnswer: 125240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 33*n - 38*n + 48 = 0. Solve n = -4*w - 3*g - 5, 5*g - 13 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 v when four letters picked without replacement from {n: 2, v: 7, j: 3, d: 8}.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 19, 41, 77?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -2. What is the smallest value in 0.5, j, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 965 - 824 = -141*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 15*i**2 - 21*i + 70. Let x be n(-13). Solve u + x - 15 = -3*c, 10 = -3*u - c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 3*u + 13*r - 11, 0 = -3*u - 3*r + 3. Suppose -7*m + y + u = -4*m, -m + 8 = -4*y. Solve 4*p - 28 + 16 = m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 5. Determine i(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from axkxkkkkcxbbkbxk.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 0 = 92, 4*f = -5*i - 11 + 113 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 81, 4, -339 in decreasing order.\nAnswer: 81, 5, 4, 3, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1807 = 3*m + 943, 3*g + 2*m - 4151 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 0*k**2 - 3*k**3 - 13*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 194 - 190. Let o be 2 - 2*(-3 + -95). Let p be 2\/11 - (-8)\/o. What is the nearest to 0.1 in p, -2, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -13, 1, 15, 29, 43?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -5a19?\nAnswer: -5a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80821935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) 319 (c) 464 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.505. What is h rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 17 = 4*f, -1893 + 961 = -5*l - 957 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 - (2\/(-2) - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 84*x - 81*x + 1, s = -2*x. Solve 0 = -3*u, -u + 3 = -s*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16188751 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 19*h + 12*h - 35 = -12*h, 2*j = -6*h - 12 - 1 + 7 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*i = 30 - 31, -i = 17*k - 87 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*m = 535*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 99 + -101 - 279*(0 - -4). Let i be 4\/(-6) + y\/(-903). Solve -8\/7*u**4 + i*u + 6\/7*u**3 + 0 + 18\/7*u**2 = 0 for u.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40413 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9 + (-512)\/(-6). Let j = t - 50. Let l = 91 - j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 - 6*z**4 - 181*z - 3 - 2*z**3 + 179*z to r*z**4 + s + x*z + p*z**2 + q*z**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 837\/11. Let r be (-8)\/(-6) - (-1 - -2). Sort -0.04, j, r in descending order.\nAnswer: r, j, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110903170*p**3*s**5 - 1644355*p**3 + 7*p**2*s - 4*s**2 wrt s?\nAnswer: -6654190200*p**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1494 and -37744999712.\nAnswer: -37744999711.8506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32095 (base 12) to base 6\nAnswer: 1224305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43b (base 16) in base 4?\nAnswer: -100323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -1) + (-24 - 26 - -55)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 + 42*f**2 + 21*f - 258. What is s(8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-153)\/(-2))\/(-4 + (-36)\/(-8)). Suppose -n = -o + 9. Let w = n + 96. Is 47 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from {f: 2, b: 3, l: 1, a: 2, c: 4}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 343 - -31562?\nAnswer: 32015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**2 - 1\/30*f**5 + 19 + 0*f**3 - 19\/24*f**6 + 0*f + 13\/24*f**4. What is the second derivative of u(d) wrt d?\nAnswer: -570*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 35 + 33 = f, -3*x + 4*f + 34 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/4 - 33*b**2\/2 + 211*b\/4 + 69 = 0.\nAnswer: -69, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**5\/20 - 11*n**4\/12 - 5*n**3\/3 - 5*n**2\/2 - 3*n. Let f be u(12). Let o be f\/6 - (-1)\/(-6). Solve o*k = k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (936\/(-1560))\/(-1 + 8854\/8860). Which is greater: 876 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 1. Let n be w(-1). Let s be 1\/((-12)\/n)*-1. Let v be (-2)\/10*5\/6. Sort s, -1, v in decreasing order.\nAnswer: s, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2)*(-3 + 2). Calculate the common denominator of 43\/18 and 1\/(g\/(-2)) + (-145)\/(-50).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 125664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 15) in base 13?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(36)\/sqrt(3)*-6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -18*k - 172. Let c be d(-21). Is c less than 206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 16*a + 4. Let y(g) = g**2 - 15*g + 5. Let b(o) = 5*r(o) - 6*y(o). What are the prime factors of b(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**3 - 2*t**2 + 1. Let r = 26 - 27. Let g be l(r). Suppose 0*f - g*f = -1516. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95569533 to the nearest integer?\nAnswer: 9776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*n + 1850 - 2540 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r. Let u = 3 - r. Suppose -3*k + u = -18. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*q - 189*q = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*k + 13, w = -0*w - 4*k + 29. Calculate the remainder when 82 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 9*y + 160 = 33*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2237, -2201, -2163, -2123, -2081, -2037, -1991?\n\"Answer: l**2 + 33*l - 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 less than 0.074?\nAnswer: -304.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10 = 4*z. Let f(w) = -w**3 - 7*w**2 - w + 2. Let n be f(-7). Suppose 0 = -5*g + z*s + 145, -4*s + n = g - 10. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**8\/20160 + g**7\/7560 + g**6\/2160 - g**5\/360 - g**4\/24 + 3*g**2. Let n(b) be the second derivative of a(b). Factor n(r).\nAnswer: -(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 - 2 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70))\/sqrt(7))\/(sqrt(8)\/(sqrt(4)*-1)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -984 * -18016\nAnswer: 17727744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t + 18. Let z(n) = -n**3 - 22*n**2 - 4*n - 76. Suppose -3*x = 105 - 39. Let r be z(x). Calculate the highest common divisor of t and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8*c = 3150. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:17 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21 - 22 - 732*z**4 + 695*z**4 wrt z.\nAnswer: -148*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -280*b*o**2*q**2 - b*o*q + b*o - o**2*q**3 - 84*o*q**3 - 2*o*q wrt o.\nAnswer: -560*b*q**2 - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027832 to 4 decimal places.\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprpjpr. Give prob of picking 1 j, 1 r, and 2 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5105 - -9255. Let y = 10383 - g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -15, -273, 35, -1.\nAnswer: -273, -15, -2, -1, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 22, 29, 34, 37, 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55718947.\nAnswer: 29, 109, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.57, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 1527 = -3720. Find the second derivative of -578*v + 96*v**4 - 2*v**3 - t*v + 10 + 1160*v wrt v.\nAnswer: 1152*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75325.\nAnswer: 5, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -0.5 (c) 548735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v - 4*v + (-2 + 6 - 2)*(-1 + 1 + v) + 0*v - v - 3*v - v + 0*v + 0*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*c - 17*c + 21*c**2)*(-2 - 9*c - 8*c + 7*c) as d*c**3 + o*c**2 + n + p*c and give d.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3601 in 2, 2\/21, -2\/21, 1\/6, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 357816\/32528 + -6 - 5. Is y at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-117*c**3 - 127*c**3 + 190*c**3).\nAnswer: 108*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331 - 1662\/5. Let n(q) be the first derivative of q**3\/3 - 2*q + 7. Let d be n(-1). Which is greater: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 + 10*m**2 - 3*m + 3. Let g(h) = 3*h**3 + 9*h**2 - 3*h + 3. Let q(o) = o + 2. Let w be q(2). Let d(a) = w*p(a) - 5*g(a). What is d(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004547.\nAnswer: 3, 17, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 26)*(-8*b + 6*b - 11*b).\nAnswer: 390*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.3, -53, 26774?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1804285*2\nAnswer: 3608570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284 - -7666\/27. Which is the second smallest value? (a) 0 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - 4*u)*(2*u**4 + 12*u**4 + u**4).\nAnswer: -30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -561 + 523 - 32?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2) - 0)*-15. Let k = 3 + 9. Let y be (-6)\/(-2)*k\/9. Solve y*u = -u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 6, t: 1, w: 3}. Give prob of picking 2 q and 1 i.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) -5\/4 (c) 349 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-10 + 922 + 284 + 4 + 0 - 2 + (1 + 1 - 1)*(-1 + 3 + 0) + 2 - 4 + 4 - 3 + 3 + 2)*(0*b + 2*b - b)*(3*b - 6*b + b).\nAnswer: 2408*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + (-5 - (1 - 6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.44 - 0.16. Let f = c - -2. Let r = 38 - 41. What is the third biggest value in r, 0.3, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 - 141724*c**3 - 613604220*c**2 - 940707675700*c - 488592189394000.\nAnswer: -4*(c + 1585)**3*(c + 30676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/80297 and 64\/9.\nAnswer: 722673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 15. Suppose -5*q = -s*g - 0 + 1, -4*q - 19 = -5*g. Solve -1 - g = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*j + 17. Which is the biggest value? (a) -2\/21 (b) j (c) 2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 6\/7 (c) 0.6998 (d) 1.14 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 19. Let d be 0 + x + -2 + -27. Which is smaller: d or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 1265*t**2 + 17 - 36 - 1.\nAnswer: 1265*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 29. Determine z(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 3*v**4 + 7*v)*(60*v + 130*v - 18 + 16)*(-1 + 0 + 3).\nAnswer: 1140*v**5 - 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37*24\/72 - (-1)\/(-6)*2. Solve 2*q + 18 = -2*b, 3*q - b - 5 = -g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1241, 1240, 1239, 1238, 1237?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -242? (a) -0.4 (b) -1\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -36. Let s = -16 + z. Suppose 4*w = -s*x, 2*x - 2*w + 30 = -2*x. Is -5 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120055 and 171613.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.702 - -1601664?\nAnswer: 1601478.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248505*h**2 + 812*h**3 - 248505*h**2 + 4488*h**3.\nAnswer: 5300*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -20.4. What is the smallest value in 5, -4\/5, m?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*n - 4*n + n)*(1 - 1 - 2*n) + 5*n**2 - n**2 + 2*n**2)*(1 + 0 - 3) to the form m*n + d*n**2 + y and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 11. Let b be i(6). Suppose 68 = 9*o + 8*o. Sort b, o, 0 in increasing order.\nAnswer: b, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 20 = 0, 0 = 3*v - 1156*x + 1158*x - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-1*-5 + -5 + sqrt(1300)*-2 + sqrt(1300) + 4 + -2 + sqrt(1300) + sqrt(1300) + 0)**2.\nAnswer: -360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*(3 - 0)*-2. Suppose -4*x + v + 12 = 0. Suppose x*t + 23 = 4*r - t, -t = r - 17. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) + sqrt(2) + sqrt(8)\/sqrt(4))**2 + -4 + -1 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126826285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14175 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4+-669665981395\nAnswer: -669665981399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -253\/6 (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(((-10)\/7*8316\/(-9900))\/(-1)).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2491297t to micrograms.\nAnswer: 249129700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18*b - 32*b + 19*b. Let d(k) = -95*k**2 + 69*k**2 + 25*k**2. Give d(u(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 45*c**2 + 177*c + 126 = 0?\nAnswer: -3, -14\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -61, -62?\n\"Answer: -i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25422 + -25589. Let r = 5\/7 - 8\/21. Do r and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1 - 9. What is the second smallest value in -2\/9, u, -2, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/(-8) - 32\/(-8). Let d = 68 + -70. Which is the biggest value? (a) 2 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*x - 5*o, 5*x - 6*x - 3*o = -14. Suppose -4 + 4 = -x*d. Suppose 12*i - 15*i - 46200000 = d. What is i rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Let r(n) be the first derivative of j*n - 2 - 2\/3*n**3 + 1\/2*n**2. Find the second derivative of r(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 156135 + 78969 = 0. Is z a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26139 - -66172. Is v a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/27, -233, -0.4?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 9*v + 1. Let f be h(9). Differentiate n - 2*n - 1 - f - 3*n wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 4407690*f**2 + 971346886380*f + 17485672075560.\nAnswer: 5*(f - 440778)**2*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p - 107*p = -3*q - 181*p + 84, -5*q = 3*p - 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let d(s) = 3*s**2 + 6*s - 6*s - 5*s**q. Let p(c) = c - 3*c + 4*c. Give p(d(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1878 - -0.088506071\nAnswer: 1878.088506071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/12 + 128*a**3\/3 + 254*a**2 - 9910*a. Determine r so that i(r) = 0.\nAnswer: -254, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*r**5 - 1100*r**3 + 30*r**2 + 2*r - 256.\nAnswer: 3600*r**2 - 6600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hho when three letters picked without replacement from {y: 1, h: 11, o: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 25 + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 31*v**2 + 10*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2. Let s(a) be the first derivative of -7*a**5\/20 - 27*a**2\/2 - 13. Let j(f) be the second derivative of s(f). Give z(j(n)).\nAnswer: 441*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105702 take away 0.009?\nAnswer: -0.0195702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(1872) + sqrt(1872) + 3)**2.\nAnswer: 192*sqrt(13) + 7505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 12 = 2*a, -2*q + 3*a = 5*a + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -998 + 998.0000735. Round o to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*t + 25 - 52 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 + 138. What is the greatest common divisor of r and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j**3 + 2*j**3 - j**3)*(2 - 2 - 2*j) - j + j - j**4 - 1 + 1 + j**4 + j**2 - 2*j**4 - j**2)*(5*j - 5*j - j + (1 + j - 1)*(5 - 1 + 1)).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.038 (b) 3 (c) -2\/11 (d) 0.6 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 8:59 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41866.61 millennia?\nAnswer: 4186661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(567) + sqrt(567)*1)**2.\nAnswer: 180*sqrt(7) + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -38*q. Let m(t) be the second derivative of -t**5\/40 + 22*t**3\/3 - 38*t - 2. Let u(w) be the second derivative of m(w). What is u(f(d))?\nAnswer: 114*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 5. Let j be x(1). Factor 2*z**3 - 13*z + 12*z**2 + 54 + 45*z + 6*z**j + 22*z.\nAnswer: 2*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 6*r - 4. Suppose -g = -6*m - 0*g - 27, -4*m = 2*g + 26. What is c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - v + 5*v = 4584, -2*s = 5*v + 4611. Let k = 27595\/12 + s. What is the common denominator of -53\/68 and k?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 797 - 737. Calculate the highest common divisor of t and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2489800 divided by -622450?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3a84 (base 11) to base 2\nAnswer: 1010010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 47*v + 4. Let m be j(-14). Find the common denominator of 181\/(-110) + m\/(-185) and 45\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)\/(2\/(-3)). Suppose -2*z - y*z + 5 = 0. Let l be (1 - z)\/(-8 - (-1 + -6)). Put l, 1, 5 in decreasing order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is 458 minutes after 11:06 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 3 = 21*m. Is (7 - -48) + m + 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 6:38 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612399192 to the power of 1\/3, to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5218 is divided by 742?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5 + (-112)\/120. Sort 4, l, -2\/7.\nAnswer: l, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, -27, -46, -37, 12, 113, 278, 519?\n\"Answer: 2*h**3 - 4*h**2 - 37*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 22*p - 54. Calculate w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-222 + 223)*(0 + 65 - 2). Calculate the highest common factor of 77 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*q + 30. Let g = -26 + q. Let z = g - -1. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 574 = -850. What is the remainder when l is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1148 - -11736?\nAnswer: 12882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 3}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 + 6*x + 2. Suppose -6*w + 10*w = 8. Suppose -9*d + w = -10*d. Let t be c(d). Solve -t*p - p + 16 = 2*j, 0 = 3*j - p - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibii when four letters picked without replacement from {b: 2, i: 10}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2. Let m(j) = -17*j**2 + 2. Let n(h) = 325*h**2 - 39. Let r(t) = -78*m(t) - 4*n(t). Calculate y(r(l)).\nAnswer: 4056*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 3.96. Let q = -1\/10 - -3\/5. Which is the nearest to q? (a) 0.1 (b) -0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -1\/3, -3\/7, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-196)\/(-147) - 26396\/(-3). 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 o(k) = k**3 - 19*k**2 + 20*k - 32. Suppose -j + 1 = -g + 2, 0 = 5*j + 5*g - 45. Let z = 22 - j. Let u be o(z). Solve v - u = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 22 = -104. What is the remainder when 152 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - -58. What is the greatest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 + 5. Let x be p(-5). What is the third derivative of u**2 + 0*u**2 + 2*u**2 + 5*u**x wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6166 - -7222. Calculate the least common multiple of 363 and g.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 23*d**2 - 7*d**2 to q + o*d**2 + i*d and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 6*p + p + (-2 - 1 + 5)*(4*p - p - 4*p) + (1 - 5 + 6)*(-3 + 2*p + 3).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*h = -15, -3*t = 2*h - 8 + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1819 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*t - 5*d, 23*d + 26 = -5*t + 27*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3 - 15. Suppose 0 = 3*d - 3 - q. Find the first derivative of -2 - d*a**4 + 0*a - 2 + 0*a wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/17, -4, -3, -106\/15 in descending order.\nAnswer: 0.3, 4\/17, -3, -4, -106\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -770*h**2 + 4*h - 2*h**3 - 2*h + 771*h**2 in the form v*h**3 + p + z*h + t*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6226277?\nAnswer: 6226277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 385216 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14776535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttgt when four letters picked without replacement from ggtgggggtgtggggtgg.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10)*5\/(-1). Let d(i) = 19*i**2 + q - 7*i**2 - 3. Let j be 1*(-22 - (-35 - -12)). Determine d(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 4*c**2 - 3*c - 1. Let p be b(-4). Suppose -3*y = -p - 19. What is the units digit of ((-12)\/y)\/((-2)\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 8*d + 3. Let u be (-2)\/(-3) + 261\/(-27). Calculate the smallest common multiple of 2 and x(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = 4*t + l, 0*t - 422 = 4*t + 5*l. Let s = t - -112. Suppose s*m + 9 = 36. Calculate the remainder when 9 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0)\/((-2)\/(-40)). Let o = -24 + z. Let m = 49 + o. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k - 10. Suppose 6*l + 70 = 4*l. Let q be l\/20 - (-12)\/16. Is q at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + s + (-27 + 12 - 32)*(2*s - s + 2*s).\nAnswer: -140*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5\/4 - 15*j**4 + 255*j**3\/4 - 115*j**2 + 75*j = 0.\nAnswer: 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, v: 1}. What is prob of picking 3 z and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 511 - 4?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*t + 41 = 0, -623*n - 21 = -624*n + 3*t for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/120 + 7*m**4\/24 + m**3\/3 - 7*m**2. Let k(o) be the first derivative of t(o). Calculate k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r - 165. Let v = -38 - r. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 2*k - 1. Determine a(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 81*y**3 - 2*y**2 + 1. Let k be n(1). Suppose -7*c + 323 - 1 = 0. Let i = c - k. What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**2 + 320*g\/3 - 356 = 0?\nAnswer: -89\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 7*v**2 - 7*v + 19. Let k(c) = -c**3 - 2*c**2 + 2*c - 6. What is -7*k(a) - 2*l(a)?\nAnswer: 3*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 1 - 1 + o + 2*o - o - 2*o + 0*o + 3*o + (-2*o + o + 3*o)*(1 + 1 - 3) + 0*o + o - 3*o + (-113 - 103 - 3*o + 200)*(2 - 2 + 1).\nAnswer: -5*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) -367 (b) 12 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from lnvblidi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(468)*3)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Let b be (-2)\/6 - (-20)\/6. Let u be (-3)\/27*b*0. Solve -t*r + 2*a = 14, 5*r - 5*a + u = -5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138.007 - -0.007. Are k and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -87. Differentiate 24*i - 60*i + 22 + m*i with respect to i.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -906837, -3627338, -8161505, -14509338, -22670837, -32646002, -44434833?\n\"Answer: -906833*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452102 less than -0.1?\nAnswer: -3452102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-2*sqrt(176)*-1)**2 - (2 + sqrt(176) + 3*sqrt(176) + -3 + 1).\nAnswer: -16*sqrt(11) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -43. Suppose k = 5*v - 2*j + 4*j, -v + 4*j = 3. Solve 0 = -r - v, 23 = f - 3*f - 3*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/39 + (-20)\/3. Let b be x\/(-4) + 3\/2 + -3. Let g be (-17)\/(-4) - (1\/4 - b). Solve -g*l - 1 = 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 21 = -q, -2*g + 13 = -g - 2*q. Suppose -g*l + 1554 = t, 3*l = -5*t - 0*t + 928. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 1129 = -337*o + 11. Suppose 14 = -5*v + 79. Solve -o*c = -10 + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0 + 1\/300*n**5 - 1\/20*n**4 + 0*n + 4\/15*n**3 - 10*n**2. What is w in b(w) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -83. Let r = -26 + 26.06. Which is the second biggest value? (a) r (b) 0.02 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37290990, -74581986, -111873008, -149164068, -186455178, -223746350, -261037596, -298328928?\nAnswer: -335620358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2. Let z(x) = -13*x**2 - 25. Let g(c) = -6*c**2 - 13. Let t(n) = 9*g(n) - 4*z(n). Let u(p) be the first derivative of t(p). Calculate u(j(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47976458 divided by 7691\nAnswer: -6238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2520)\/(-147) - ((-12)\/14 + 1). Solve -4*b = 3 + q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69006 is divided by 284.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29592 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*2\/7)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/4, -2\/11, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6456 by 3228.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*z - 13741620 = -13767807 for z.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 670716 and 4464.\nAnswer: 2682864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 20 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 + 23*a - 9. Let i be s(-5). Let n = 142 + i. Calculate the remainder when 121 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43722441 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or -4\/38501?\nAnswer: -4\/38501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-4 - 9) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55724 * 244.\nAnswer: 13596656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h + 3256. Suppose 8*i - 10*w + 205 - 717 = 0, 3*i - 238 = -2*w. What is the highest common divisor of h and i?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y - 44951 = 6436*y - 279779 - 257741 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 31. Let u = 31 + q. Let c(p) = 4 + 5*p - 9 - 4 - u*p. Give c(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(272)*-2*-6 + 3 - (sqrt(272) + 2*(sqrt(272) + 1) + sqrt(272) - (sqrt(272) - (5 + sqrt(272)*2))))**2 + 4 + 5.\nAnswer: -672*sqrt(17) + 40041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*2*2)\/((sqrt(96) + (sqrt(96) - (sqrt(96) + -1*sqrt(96))))\/sqrt(8)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 849 + -776. Calculate the greatest common factor of 292 and a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 18*x**2 + 44*x + 1. Let f = -27 - -28. Let q(z) = -z**2 - z - 1. Let s(l) = f*p(l) + q(l). What is the second derivative of s(u) wrt u?\nAnswer: 12*u + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 28*z = 98. Suppose z*n - 1414 - 1218 = 0. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -5008.\nAnswer: 5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*k - 3, -k + 5*n - 1 = 4*n. Let p = 2 - k. Solve p*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (30 - (-1 - 17 - 14)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, 5, -3, -84, 4 in increasing order.\nAnswer: -164, -84, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64800618373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1847232 by -288.\nAnswer: -6414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 106\/22 + -3. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/(-50))\/((-6)\/(-20)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 5. Let k be m(1). Let j be (k\/(-18))\/((-1)\/309). Let q = -22981\/1338 + j. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-1)*q)*q))**30*(q**(-1\/6)*q)\/q*q**(-2))\/(((q**(1\/9)\/q)\/(q**(-2\/23)*q))\/(q**(1\/4))**10) assuming q is positive.\nAnswer: q**(-5768\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -3 - 3\/3. Let i(j) = -j + 3. Let f be i(x). Which is smaller: -2\/13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175624 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) 5 (c) -13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*t + 8, t + 947*p - 28 = 952*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 7*d + 80. Let u be j(-16). Let h = 65 + u. What are the prime factors of h?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 717 - 716 - 717 - 723 + 2873.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120132 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384*r**2\/5 + 70*r - 34\/5.\nAnswer: 2*(r + 1)*(192*r - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70023.\nAnswer: 3, 17, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 15*g + 3 to the form z*g + w and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/4)\/((-9)\/48). Calculate the greatest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 950.5000001668 + -950.5. Round a to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 6, 3 in decreasing order.\nAnswer: 6, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1392 and 26488194.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose 8*g - 5*g + 24 = 0. Let r be 1 - 2*4\/g. Is k less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 20*x**2 - 583*x + 10354. Give k(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 1 + 1 + 8\/(-4). Let p(u) = -2*u + 12. Let o be p(v). Suppose o*r - 167 = -3*g, 2*g - 4*r + 13 = 119. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -51. Let t be (6\/q)\/((-2)\/(-12)). Solve 0*r + r = -t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122100 + 1222200201?\nAnswer: 2000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 74 - 218. What is the remainder when o is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eheggheee. Give prob of sequence ggh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8. Let i = 25.2 - 25. What is the closest to v in 0.4, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/7 + 2*t**2\/7 + 3*t\/7.\nAnswer: -t*(t - 3)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:12 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 38836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*r - 73 + 85, -7*s = -3*r - 52 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -274, -533, -882, -1321, -1850?\nAnswer: -2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -106, -219, -402, -679, -1074, -1611?\n\"Answer: -4*m**3 + m**2 - 42*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5039 nanometers in micrometers?\nAnswer: 0.0055039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 11\/2*f**2 - 116 + 0*f. Let h(j) = -3*j**2 + 0*j**2 + j**2. Determine h(p(x)).\nAnswer: -242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -13. Suppose 3*b + q - 1876 = -3*q, -3*q = -p*b + 1869. Suppose 8*y = 2*y + b. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2. Suppose -4*u + 4 = -2*u. Let l(y) = 3*y**2 - 6*y**2 + 4*y**u. Calculate j(l(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 289, 251, 193, 115, 17?\n\"Answer: -10*b**2 - 8*b + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99 + 3*c**2 + 139 - 83 + 538*c**3 + 174*c**3 wrt c?\nAnswer: 4272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11191*c + 1. Let f(b) = 5595*b + 1. Let n(v) = 9*f(v) - 4*w(v). Let g be n(-2). Let i = g - -290703\/26. What is the common denominator of i and 65\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0 + 0*t - 27*t**2 + 1\/24*t**4 + 0*t**3. Let k(z) = -25*z - 2. Determine c(k(g)).\nAnswer: -25*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*d + 3. Suppose 5*m - 6 = -d. Let w(q) be the first derivative of q**4\/4 + q + 1. Let j(p) = -5*p**3 - p**2 - 2*p - 6. Calculate m*j(k) + 6*w(k).\nAnswer: k**3 - k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1107 + -5371\/5. Let h = 33 - u. Suppose 0 = -i - 8 + 7. Is h less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 660\/1027 + -764917\/948948. What is the common denominator of j and 73\/3?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 5*h - 1090. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d + 49. Let a be t(6). Let x be a\/2*(-7)\/((-42)\/24). Sort 5, 0, -8, x in decreasing order.\nAnswer: 5, x, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318552 is divided by 78895?\nAnswer: 2972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76978, -76980, -76984, -76990?\n\"Answer: -u**2 + u - 76978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = 0, -w - 196 - 28 = -4*j. Let k be ((-58)\/(-5) - 4)\/(4\/10). Let z = 24 - k. What is the greatest common factor of j and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8916781nm in micrometers?\nAnswer: 0.0008916781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 39*r - 1217. Give o(31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**3\/3 - g**2 + g. Let v be a(-3). Let d(c) be the third derivative of c**4\/8 - 2*c**3\/3 - 115*c**2 - 2*c. Give d(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14*h - 26. Let k be i(-2). Suppose -w = k*n + 3*w - 1906, 2*w = n - 941. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*x - 42*x - 14*x**2)*(-3 + 0 + 2) + (3*x - 3*x + 2*x)*(x - 2*x + 0*x) - 2*x + 2*x - x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2332 + 28057\/12. Calculate the common denominator of -11\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 3*a**2 - 24*a + 20. Let o be s(-9). Let i be (-425)\/o + (-3)\/15. Factor -i*d**2 - 15\/2 + 9*d.\nAnswer: -3*(d - 5)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -903 and -719.66.\nAnswer: -1622.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147, 155, 163, 171, 179, 187?\n\"Answer: 8*l + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - o**2 + o**2)*(3*o**2 + 4*o - 4*o) + (2 + 0 + 0)*(-3*o**5 + 3*o**5 - o**5).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**2 - 10 + 5*z**2 + 10 + 7*z**5 wrt z?\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 17*x**2 - 7*x + 18. Let h be z(-9). Suppose h = -105*v + 102*v + 198. Let y = v + -62. Solve 0 = y*n + 10 - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 305*z + 305*z - z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + 4\/(-6). Let h be (-2)\/(7*(-4)\/(-56)). Sort h, d, 5.\nAnswer: h, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4901)\/(-130) + -38 + (0 - 189\/(-30)). Suppose 0 = -y - 0*y + 4. Solve -5*d - 5*v = 19 + u, 0 = d - 2*v - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/16, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + 5 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74869\/139860 - -2\/4995. Let y = 1765\/28 - h. Let f = 629\/10 - y. What is the third smallest value in -1\/2, -6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k + 5. Let d(r) = 19*r - 8. Let z(q) = -5*d(q) - 8*y(q). Let x(v) = -2*v. Calculate x(z(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 598086067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, -17013, -1 in descending order.\nAnswer: 0, -0.4, -1, -17013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 33*d**4 - 10*d + 6. Let q be (23\/46)\/(2\/(-24)). Let m(n) = 33*n**4 - 9*n + 7. Let l(c) = q*m(c) + 7*t(c). Find the second derivative of l(a) wrt a.\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, 13\/3, -0.64798, 4.\nAnswer: -0.64798, -3\/16, 4, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 56*i + 265. Let n be o(-5). Let p(d) = -2*d**2 + 14*d - 11. Calculate p(n).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 203?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2 - 2784*r + 484416 = 0.\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 3) in base 2?\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y + 10*y - 53 - 17*y to v*y + m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/475)\/(7\/(-21))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 7*y**2 + y - 7. Let k be r(7). Let c(u) = 10*u - 35. Let x be c(4). Suppose -18 = x*v - 43. Solve -q + v + 0 = k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, p: 7, v: 2, h: 3}. Give prob of picking 1 p and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 22*z - 34. Let g be w(-24). Suppose -63 = -11*t + g. What is the highest common divisor of 28 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131012 + -1422?\nAnswer: 124040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.151635 - 46.17. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -688\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1500403*o**2 + o - 294752 wrt o.\nAnswer: 3000806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1112202?\nAnswer: -1112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 3, 275 in increasing order.\nAnswer: 3, 79, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*p**(-2\/7)*p*p**(-6)*p**(-1\/8))\/((p*p**(2\/5))\/p*(p\/p**4)\/p*p*p**(-5)*p**(-5)) assuming p is positive.\nAnswer: p**(2853\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7867177?\nAnswer: 433, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 81*w**2 + 14*w + 335. What is the ten thousands digit of h(45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 + -481 - (99\/(-6) - 3\/(-6))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097 is divided by 66.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k - 4*t - 52 = 0, 42*t - 52 = 46*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/5 - 423*p**4\/5 + 491934*p**3\/5 - 2941212*p**2\/5 + 5875416*p\/5 - 3914592\/5 = 0 for p.\nAnswer: -484, 2, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*n = 22, 10 = -2*o - 5*n + 4*n. Let m be (4 - (-21)\/o)*0. Suppose m = -b + 4*j + 154, -4*b + 133 = -4*j - 423. List the prime factors of b.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31b + -8?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/4, 0.02, -1863\/139, -5 in decreasing order.\nAnswer: 0.02, -11\/4, -5, -1863\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 180, 597, 1458, 2973, 5352, 8805, 13542?\n\"Answer: 35*c**3 + 12*c**2 + 136*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 4*b - 29, -2*s - 22*b - 2755 = -2603 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 30*d + 214. Determine o(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/26))**(-2\/79)*k*k\/(k**(-15)\/k)*k*((k*k\/(k**27*k))\/k)\/k assuming k is positive.\nAnswer: k**(-9244\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3)*-1*2*-1 - (sqrt(27)*-6 - sqrt(3) - -2*2*sqrt(3))*6)**2.\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 195?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -358*d**3*u**4 - 12*d**3*u**3 + 2*d**3*u**2 + 2*d**3 + 2*d*u**2 - 126*d*u - 17*u**3 - 736*u**2 wrt u?\nAnswer: -8592*d**3*u - 72*d**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2354 - -219.2878. Let y = w + -0.1232. What is y rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(21) + sqrt(2541)))*1 + 1*sqrt(105)\/sqrt(5))\/(((sqrt(18)*1)\/sqrt(2))\/(sqrt(3)*2*5)).\nAnswer: -100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2901699 or -30?\nAnswer: -2901699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -15235.\nAnswer: -15234.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 + 2*c**2)*(-2 + 2 - 2*c + (0*c - 3*c + c)*(-5 + 6 + 5)).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720050 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 4. Let g = 116680\/7 - 16668. Is g > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -765, -4.\nAnswer: -765, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105261.\nAnswer: 3, 13, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 511836 divided by -127959\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 5888?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4788 - 2823. What is the common denominator of 50 and (6\/(-15))\/((-36)\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 531\/46 - -87\/115. What is the common denominator of s and 40\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 5*x**2 - 5*x. Let s(w) = 2*w**3 + 4*w**2 - 5*w. Let d be 14\/(4 + 3) - -2. Let c be (-121)\/(-33) + (16\/3)\/d. Calculate c*s(y) - 4*m(y).\nAnswer: 2*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 - 45*y**4 - 1 - 12 - 33 wrt y.\nAnswer: -180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3 - 9. Suppose 3*p + 8 = 7*p. Suppose -1 = -0*s + s, p*a - y*s = 40. What is the remainder when 71 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:26 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from nvjn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 + 2*p + 3. Let t be q(-2). Let v = 19 - 13. Let l(u) = 2*u + 5*u + 0*u + 7 - u**3 + 2 + v*u**2. Give l(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26015629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2487*d**2*j*m - d**2*j + 5*d**2*m**2 + 4*d*j*m**2 + 56*d*m**2 + 4*j*m + 3*m**2 + 2 wrt d.\nAnswer: -4974*j*m - 2*j + 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13\/3, 9\/7, -0.4 in increasing order.\nAnswer: -13\/3, -0.4, 1, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c - 95593 = -651333 - 13017. List the prime factors of c.\nAnswer: 7, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 99474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230466844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101480 by 4.\nAnswer: 25370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olp when three letters picked without replacement from {l: 2, p: 1, o: 1, i: 1, y: 4, r: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5359295 equal to -5359293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*g - 3482*g + 6961*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -51*i + 13. Let b be q(-3). Suppose 54 = -5*h - b. Are h and -45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**2 - 2*a + 4. Let g(r) = -18*r**2 - 3*r + 7. Let t(q) = 7*d(q) - 4*g(q). List the prime factors of t(-3).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h + 2. Let y be 22\/10 + h\/10 + 0. Put -1, 5, 16, y in ascending order.\nAnswer: -1, y, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 15 - -21 - 50 - (2 + -7)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/2, -2, 8\/2733?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -1.6\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -11*r**8\/28 + r**5\/20 - 91*r**4\/12 + 16*r + 3. What is the third derivative of o(n) wrt n?\nAnswer: -2640*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152 by -14.\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006888 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 12 - 8 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 3) + (-5 - -1478) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.7203101 - 3?\nAnswer: -35.7203101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0*o)\/o*o)**(-45)\/(o\/(o**(2\/29)*o)*(o**(-5\/2)\/o)\/o)*o**2\/(o**(4\/9)\/o*o)*(o*o*o**(5\/4))\/o**(-3\/7) assuming o is positive.\nAnswer: o**(-586079\/7308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2669 + -18639\/7. What is the common denominator of 97\/54 and h?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 - 1066*v + 6430. Determine k(6).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*z + 417*z = -9948. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 80 - 311. Let q = n - 52. Suppose 4*z - 45 + q = 0. Solve 0*v + z = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 306, 465, 622, 777, 930?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -16*l - 18. Let f(q) = 2*q**2 + 2*q + 1. Let n(d) = -3*d**2 - d - 1. Let s(w) = -7*f(w) - 6*n(w). Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from htkheeeekk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*i - 6, -u + 4*i + 7 = -1. Let v(f) = f - 3. Determine v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -18 (b) -4\/9 (c) 2 (d) 102 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 10478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2143.\nAnswer: 1\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -311049 divided by -57?\nAnswer: 5457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 29*f**2 - f - 6. Is a(1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 11 (b) 0.16 (c) 2\/9 (d) -8 (e) 0.4 (f) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from {x: 3, o: 3, q: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 414424 times 36\nAnswer: 14919264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/860748 and -139\/1229640.\nAnswer: 8607480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 12 + 2)*610\/15 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let p(h) = h + 7. Let m be p(-7). Let f(y) = -y**3 + y + 4. Let r be f(m). Solve d = -r*l - 2*v, -2*l + 5*v = -4*l + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1706053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from omxncmcx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3*i**5\/20 - 2*i**2 + 19. Let s(a) be the second derivative of b(a). Let w(v) = 4*v**2 - 2*v**2 - 4*v**2. Determine s(w(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15509*k + 30850*k - 15533*k + 6*k**2 to h*k + m + x*k**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -0*x - 12. Let s be ((12\/15)\/(-4))\/(x\/6). Which is the smallest value? (a) 5\/3 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184900 and 6450?\nAnswer: 554700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 628129\nAnswer: 251251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 67 + 1 = 0. Suppose -8*d + t*d - 54 = 0. Let r = d - -31. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a factor of 302929845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 1071 = 297. Let w be i\/(-18) - 3\/18. Let l be (7 - w)\/(2\/2). Sort 13, l, 3.\nAnswer: l, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 13) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 5 = 2*l. Suppose -4*k + 1 = 5*j + 12, j = 5*k - 37. Solve 5*h = o - k*o - 35, h + l = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.043 + 13.457. Let g = b + -14. Let x = -0.9 - -1. Sort 0.4, g, x in decreasing order.\nAnswer: 0.4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from {b: 1, u: 4, n: 5, k: 1, s: 7, e: 2}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 8 = 6*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 13. Let a be g(0). Let o(x) = -x**2 - 14*x - 9. Let h be o(a). Suppose 0 - 16 = h*d. What is the biggest value in d, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 109. Let v(w) = -w**2 - 6*w - 3. Calculate v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 - 60*o**2 + 100*o = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55 + 33 - 54*d**3 - 35*d + 24 wrt d.\nAnswer: -324*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*4*sqrt(363)*-2)**2.\nAnswer: 1486848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(0*h - 4*h + 2*h) + (-18*h + 4*h + 6*h)*(67 - 209 - 80) in the form y + i*h and give i.\nAnswer: 1772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 6. Let u be r(5). Let w = 205 - 177. Calculate the remainder when w is divided by u\/((-124)\/(-40) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.051, 0.6, -1\/11, 6, -4, 3, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*s - 159, 2*s + 35 = f + 134. Let q = s - 4. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721.289598 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -53664000 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let i(d) be the third derivative of -d**4\/24 - 25*d**2. Let c(v) = v - 3*v + 6*v. Let f(s) = 2*c(s) + 6*i(s). Give f(p(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -955 - -1103. Let s = -357006.0286 - -356858. Let x = h + s. What is x rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1474 - 730. Suppose -2*c - 6*c = -n. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75515 (base 9) to base 16\nAnswer: -c347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, l: 2, c: 6}. What is prob of picking 2 q and 1 c?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 615, 2.\nAnswer: -34, 2, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(5 + 1 - 4)*(16*o**3 + 112*o - 112*o)*(0 - 8*o + 0).\nAnswer: 256*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2. Let q(v) = 13*v + 85. Calculate f(q(c)).\nAnswer: 338*c**2 + 4420*c + 14450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 23 = -3*v, -4*x - 10*v = -11*v - 15. Let t(s) = -6*s - 7. Let u(i) = -12*i - 15. Let a(l) = 13*t(l) - 6*u(l). Determine a(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose y*c + 60 = 150. What is the greatest common factor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3095?\nAnswer: -3\/3095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*u + 12, -5 + 19 = -4*u + 3*p. Sort -15, u, 1, -3 in increasing order.\nAnswer: -15, -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:15 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872 = -113*j - 258 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 + u**2 - 2*u + 1. Let f(y) = -2*y**3 - 3*y**2 + 7*y + 9. Let d be f(-5). Let r = 150 - d. Calculate q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2238*l**2*u + 312*l**2 - 17*l*u + 38*l - 26*u wrt l?\nAnswer: -4476*u + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -417*t + 30. Let r(z) = 174*z - 12. Let o(s) = 5*p(s) + 12*r(s). Let n(m) = -2*m - 4. Determine 8*n(u) + 5*o(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 4501568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (1 + sqrt(891))**2 + 4 + (-3*((0 + sqrt(891) + -5 - sqrt(891)) + 4 + -1*sqrt(891) + sqrt(891)))**2.\nAnswer: 18*sqrt(11) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 + (9 - 18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -33. Is (-6305)\/(-91) + 2\/i + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 27*s - 39806 + 39806.\nAnswer: -7*s**2 - 27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.038 and 1993317602729?\nAnswer: 1993317602728.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/74 - -175\/666. Which is the second smallest value? (a) d (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 14*x - 54. Let w = x + 33. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158998879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50\/4)\/((-1)\/(-2)). Let u = -21 + c. Suppose -282 - 590 = -u*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**8\/13440 + x**6\/960 - x**5\/480 - x**3\/3 - 5. Let h(c) be the third derivative of d(c). Let h(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22968 = 72*s + 22896. Calculate the remainder when 366 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Which is smaller: z or 2\/59?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -1, -0.11, -93 in descending order.\nAnswer: -0.11, -0.8, -1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/1062789 and -43\/6183?\nAnswer: 9565101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35962110397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 11:11 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2385 + -1917?\nAnswer: 66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 1004 - 68. Solve -j + 87 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*n**4 - 7*n**3 + 2*n + 150 wrt n?\nAnswer: -2760*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365622137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4387 (b) -2\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 133, -1, 74 in ascending order.\nAnswer: -33, -1, 74, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164382\/(-136985))\/(21*-2)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 20 = 5*h - 4*y, -3*h + 2*y - 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 3*f + 3. Let a(r) = 3*r**2 + 2*r - 4. Let o(i) = 3*a(i) + 4*y(i). Let k = 1 - -5. What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/69 and 85\/1353.\nAnswer: 31119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/15288978 and 65\/12.\nAnswer: 30577956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*q - 1 + 52*q + 7*q**2 + 71*q + 1.\nAnswer: 7*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:15 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 63 - 43, 9*v + 2*s - 28 = 72 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201002 + 12?\nAnswer: -22200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*v + 18, 2*c - 15 = -4*v + v. Suppose 5*f - 35 = 2*g, 0*f + c*g + 3 = 2*f. Solve j = -2*j + f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 38 = 2*l - 4*x, -x - 18 = l. Are -1\/20 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = -92. Suppose 3 - 1 = 2*a - 4*y, -5 = -3*a + 5*y. What is the highest common factor of x and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139 + 166. Calculate the smallest common multiple of a and (-28)\/(-5) - 2\/(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -69, -100, -143, -198, -265?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24290 by -6.\nAnswer: -12145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20895 divided by 15?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/27? (a) 3 (b) 3\/23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let x(a) = 8*a**2 - 26 - 7*a**2 + 26 + 2*a + 3*a**2. Calculate -4*p(u) - 2*x(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*w - 1. Suppose 55 = 3*v + w*b, 2*v - 6*v + b = -77. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15140 (base 7) in base 12?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 2, 19, 56, 119?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = 4*k. What is the common denominator of (k\/32)\/(25\/170) and 5\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -11 (c) 7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -22. Let d = b - -4. Suppose -13*n + d*n = -1605. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 173408.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 469 (base 11) to base 14\nAnswer: 2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/195)\/((-3)\/(-15)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 14*s + 17. Let r be u(-6). Let f(l) = -24*l + 160. Let w be f(r). Which is greater: w or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0.2, 0.3 in increasing order.\nAnswer: 0.2, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*j + 3*p, 0 = -j - 4*p - 5 - 6. What is the highest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppiiipiiiiiiipii. What is prob of picking 2 i?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 204\/40 - (-18)\/(-30)*(-2)\/(-6) and -49\/4680?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5 + 316128*o**4 - 1264424*o**3 - 1896688*o**2 + 1264428*o + 1580560 = 0.\nAnswer: -1, 1, 5, 79028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/652, -3\/8, -8, 1\/9 in descending order.\nAnswer: 1\/9, -1\/652, -3\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 32. Suppose -t*z - 10 + 65 = 0. Which is the nearest to 0.23? (a) -1 (b) -5\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24435 - -4?\nAnswer: -24431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + 9*o**2 + 5*o + 16. Let l(j) = 11*j**3 - 17*j**2 - 8*j - 35. Let w(b) = 4*l(b) + 9*n(b). Determine w(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746849079 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 67*b - 19. Let q be n(22). Solve -76*o**q - 49 + 235*o - 111 - 680*o**2 - 895*o + o**3 = 0.\nAnswer: -8, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkg when three letters picked without replacement from {g: 7, k: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7 = -3*g, -5*g + 4733*m = 4735*m - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**2 - 113*y**4 + 154 - 35*y**4 + 0*y**2 - 3*y**2 - 136 wrt y?\nAnswer: -3552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2776 is divided by 232?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6288863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 182634 divided by 706?\nAnswer: 91317\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 - 39*w**2 - 51*w + 7. What is m(-12)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053785 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-5)*(-5 - 0). Let s(q) = 43*q + 157. Let r be s(-9). Let a = r + 242. Calculate the greatest common factor of u and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 7. Give d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.071, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 4*p - 8. Suppose -p*q + 15 = q. What is the third derivative of -q*k**2 + k**3 + k**2 - k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-106*n - 135*n + 200*n) in the form w*n + o and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s + 33*s**2 - 21*s**2 - 7*s - 7*s**2.\nAnswer: 5*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1795*p - 5*y + 19 = 1792*p, 0 = 3*p - 3*y + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/3 - o - 1. Let b be j(3). What is the common denominator of -21\/4 and 1124\/140 - 4\/b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24388750 a multiple of 1790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.000162. What is c rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/4746 - 1583\/4746. Sort -1\/7, d, -262, 3\/4 in decreasing order.\nAnswer: 3\/4, -1\/7, d, -262","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 2*h + 3*h + (0*h + h + h)*(5 + 0 + 1) + h - 3*h + 3*h + (2 + 1 - 4)*(-2*h + h - h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 5*q**3\/6 - 7*q**2\/2 - 287*q. Let x(a) = 2*a**2. Give f(x(m)).\nAnswer: 10*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32033 (base 10) in base 6?\nAnswer: -404145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 167, 148, 121, 86, 43?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -191, -386, -581, -776, -971, -1166?\n\"Answer: -195*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*p + 6 - 18*p - 12 + 4*p - 9*p to the form f + b*p and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {z: 7, h: 2, g: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/79 in -0.8, 5\/2, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10241 (base 5) to base 11\nAnswer: -583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17024539 > -17024540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49097198.\nAnswer: 2, 67, 366397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -140. Suppose -i*q + 5*q + 35 = 0. Let j(x) = -x**3 + 6*x**2 + 7*x - 7. Determine j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4113629, -4113672, -4113715, -4113758, -4113801, -4113844?\n\"Answer: -43*y - 4113586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 577, 1143, 1711, 2281, 2853, 3427?\n\"Answer: h**2 + 563*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 909071 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 + 3 = 5*s, -2*u = -s + 4. Let j be 70\/245 + -2*u\/(-14). Determine m so that j + 6\/7*m**2 + 2\/7*m - 8\/7*m**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/((-90)\/180) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2998*j**4 - 2*j**2 + 12540 wrt j?\nAnswer: 11992*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 4803*i**7\/7 + 1291*i**3 - 931. Find the third derivative of s(n) wrt n.\nAnswer: 576360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 65\/26012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104187.\nAnswer: 3, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(1\/4)))**32*a**(-1\/8)\/a**(-3\/2))**(1\/3) assuming a is positive.\nAnswer: a**(-53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 e when four letters picked without replacement from nnnneennen.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1550, -3084, -4606, -6116, -7614, -9100, -10574?\nAnswer: -12036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 18, 24, 28, 30, 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -2) + (-8 - ((-14 - -10) + -9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j + 40 = 0. Let s = j + -10. Is (-96)\/(-5) - 2\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2683788 and 2682?\nAnswer: 8051364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1068 - 1067.5. Which is bigger: -17\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0 - 1 + 0)*(3*y**4 - 6 - 5*y**4 + 5).\nAnswer: 2*y**5 + 2*y**4 + y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 2. Let m = 0.3 - b. Let f = m - 0.999993. What is f rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-50)\/(-561) + (-44)\/(-2992)*-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -39, -1406 in descending order.\nAnswer: 21, -39, -1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p - 1 = 30*p. Which is smaller: -1\/54 or p?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 144 = m, -f = 2*m - 0*m + 283. Let n = m + 196. Calculate the smallest common multiple of 2 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8)*0 + 8. Solve -r - h = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {k: 1, f: 2, j: 1, e: 2, c: 1, q: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (24 - 57)) + -22 + 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4735 - 3951158611.2.\nAnswer: -3951163346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.16, -564?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -345 times 356.5\nAnswer: -122992.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.8 - 13.188. Let v = i + -0.60643. Round v to four dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/24 + 137*l**5 - 187690*l**4 + 411416480*l**3\/3 - 2303*l**2. Factor r(n).\nAnswer: -5*(n - 548)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 24\/85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 444, 453, 466, 483, 504?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3. Let n be u(1). Let v(b) = -b**2 + 4*b + 3. Let f = -4 - -8. Let k be v(f). What is the highest common factor of k and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/45*-15 + 0 + -2. Which is greater: -11\/31 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150329401 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70235518?\nAnswer: 2, 337, 104207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 14*l + 213*l**2 - 44*l**2.\nAnswer: 169*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*b + 8*b. Suppose -3*o = -b*w + 816, -w + 2*w - 2*o - 204 = 0. Suppose -2*c - q = -5*c + w, -5*c = 2*q - 329. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 0)*-4*1)**2 + ((sqrt(2057) - (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 0)) + 2 + sqrt(2057))) + -2)**2.\nAnswer: 88*sqrt(17) + 24105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 5. Round b to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36032 - -112915. What is the ten thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112022 - 1022202021?\nAnswer: -1001012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4739 - 658716\/139. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (5 - (-6 + 4) - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.2693616 and 2.\nAnswer: 4.2693616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 36*c**2 - 81*c.\nAnswer: -3*c*(c - 9)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.173 + 3.827. What is the closest to -0.1 in f, -0.5, -2\/13, -45?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(495\/(-36) - -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - 452\/(-16). Let v = -26 + f. Find the third derivative of 12*k**5 - v - 18*k**2 + 8*k**2 + 2 wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = 4*b + 5, 4*b + 12 = -2*x. Suppose -2*i + 2*q + 42 = -x*q, 20 = i - 2*q. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567 = 88*b - 277*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/14*4\/(-5). Let y be (-3)\/(-27)*-3*1*-15. Suppose 7 = -4*p + p - 5*q, -3*p - 4*q = y. What is the nearest to -0.1 in 2\/17, p, m?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 7. Let c be z(5). Suppose 5*w = -5*l + 25, -15 = 2*l - 0*w - c*w. Let j(q) = -3*q**2 + 2*q + 1. Let b be j(-1). Put 2, l, b in ascending order.\nAnswer: b, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 5*p)*(-3*p + 12 + 13 - 9).\nAnswer: 9*p**2 - 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1653, 1606, 1563, 1524, 1489, 1458, 1431?\n\"Answer: 2*g**2 - 53*g + 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 145659352 divided by 19528\nAnswer: 7459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((2 - -2) + -4 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 43. Let q(d) = -d**2 - 46. Give q(b(u)).\nAnswer: -u**4 - 86*u**2 - 1895","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/12*k**4 + 1\/60*k**5 + 1\/3*k**3 + 0 - 5*k + 1\/2*k**2. Let o(a) be the first derivative of g(a). What is o(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01464851 rounded to five decimal places?\nAnswer: 0.01465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -53\/3. Let w = -0.2 + 0.2. What is the closest to w in f, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**6\/300 - n**5\/50 - n**4\/60 + n**3\/5 + n**2\/2 - 5. Let d(g) be the second derivative of m(g). Factor d(v).\nAnswer: 2*(v - 3)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2 - -2) + 3)*(12 - 3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677, -676, -675, -674, -673?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999703 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 0.06 (c) 2\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 99028.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -18\/53?\nAnswer: -18\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169412524 is divided by 8651?\nAnswer: 8642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 500 + 4462640?\nAnswer: 4463440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 120251.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15046 + -15030. Solve i*h + 35 = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12 = 2*h, 3*h - 5*w - 28 = h. Suppose -t = 3*z + 3*t - 26, h*t = -5*z + 38. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72985746 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.76 and 7.4.\nAnswer: 13.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - (-4 - -8)) + 16\/(-6). Let m = 6 - 11. Let u = m + 0. What is the second smallest value in 0, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 95573a?\nAnswer: 955746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -151 + 1850?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 1243579728*a - 96655658743284624.\nAnswer: -4*(a - 155447466)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-16) - -10 - (-158442)\/(-44). Let v = -3603 - z. Calculate the common denominator of v and -15\/79.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27648, -27311, -26974, -26637, -26300, -25963?\n\"Answer: 337*f - 27985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 104 (c) 1 (d) 1\/2 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b (base 15) in base 3?\nAnswer: 100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122341?\nAnswer: 19, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-3*n + 5*n - n)*(-26 + 169 - 3).\nAnswer: 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (4 + 4 + -9 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7356840 and 97\/4040?\nAnswer: 7356840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 109\/2003 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -2*l**2 + 52*l - 9. List the prime factors of v(0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1027.5?\nAnswer: 1027.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 837894, -50, -1 in ascending order.\nAnswer: -50, -1, 0, 3, 837894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646 = 2*c + 650, -k = -5*c - 26224. What are the prime factors of k?\nAnswer: 2, 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*s + 4*h, -4*s + 4*h + 29 = 25. Let o(f) = -f**2 + f + 5. What is o(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 3*p. Let d(g) = -654*g**2 + 9*g + 2. Give -3*c(y) - d(y).\nAnswer: 657*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -2\/5 (b) 54939 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7148500 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 3*j**2 + 4*j. Let g be a(-3). Suppose -6*u - g = -u. Let t(x) = -x + 4. What is the units digit of t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 1. Let v be (200\/120)\/(30\/108). Let c(m) = -37*m - 5. Calculate v*x(i) + c(i).\nAnswer: -43*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18127?\nAnswer: 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -232*y + 227, 5*j - 2272*y = -2271*y + 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 p when three letters picked without replacement from ssdvsvvvvp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.136 - 21.136. Let o = 22 + r. Put o, -2.1, 1\/8, -0.1 in ascending order.\nAnswer: -2.1, -0.1, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719464 * 1\nAnswer: -719464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:28 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 + 16*i - 11. Let p be m(8). Let w = p + -179. Solve -w*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*u - 30, 0 = -24*s + 15*s - 5*u + 20. Does -166 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 - 2*r. Let f be p(-2). Let w(a) = a**2 - 2*a - 3. Let o be w(3). Suppose 4*x - f = -o*x. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 358416 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 3*s + 15. Suppose -14 = a - s*a. Calculate the lowest common multiple of (-6)\/9 - (-29)\/3 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 3*t**2 + 4*t + 2. Let f be l(4). Solve 0 = 4*m - 3*i - 10, 5 = -5*m - 3*i - f*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3189 + -3187. Let j(o) = 10*o. Calculate the smallest common multiple of x and j(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from hhjhhjjjjhjjhjjfjhjj.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:49 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*q = 10, 4*j - j - q - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**3 - z**2. Suppose 5*l = -0 + 5. Calculate b(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 10520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 19*v**2 - 19*v + 18. Let f be s(-18). Let p be ((-4)\/f*-17 + -2)\/(-1). Which is the fourth biggest value? (a) 3 (b) 2\/13 (c) -2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 6*l + 2 - 3 + 0*l in the form n + j*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 30*q**2 - 35*q + 5. Let x = -15 - -17. Let y(i) = 15*i**2 - 18*i + 2. Let j(c) = x*o(c) - 5*y(c). What is the second derivative of j(z) wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/400 and 13\/450?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + u + (-2*u - 4 + 4)*(-2 + 2 + 17) + 0*u + u - 2*u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869157341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 751 by -1.\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:06 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 24*u - 21. Let r be w(9). Find the second derivative of 4*q**2 + r*q**2 - 22*q**2 + 83*q wrt q.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00466621074 rounded to 7 decimal places?\nAnswer: -0.0046662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7943 = -198*q - 27347 for q.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 5, 0.5, -0.009, -1\/7, 1\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -104*o**2 - 8*o + 14. Let k be s(-8). Let w = k + 10015. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -53. Suppose 4*k + 2*r = 5*k - a, 38 = 5*k + r. Let b be (18\/(-12))\/(-3) - k\/2. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*r + 6*g - g, -3*r + 4*g + 33 = 0. Let t be (4\/14)\/((-2)\/(-14)). Suppose 99 = -d + t*d. What is the greatest common factor of d and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let g(p) = -7*p + 59. What is g(a(o))?\nAnswer: -7*o + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30574 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2950828, 5901654, 8852480, 11803306, 14754132, 17704958?\nAnswer: 20655784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -2*q**5\/5 - 5*q**4\/24 - q**3\/3 - 12*q**2 - 23*q. Calculate w(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*g = -12*l + 270, g - 200 = -3*l. Calculate the least common multiple of 36 and l.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -107. Find the third derivative of -50*d**6 + 0*d**2 + 19*d**6 + 39*d**w wrt d.\nAnswer: -3720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-30)\/8)\/((-30)\/40) + -6)*1. Let x(t) = -2*t**3 + 5*t**2 - 2*t + 5. Let w(o) = -o**3 - o**2 - 1. What is s*x(p) - 5*w(p)?\nAnswer: 7*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55706, -226602, -512692, -913976, -1430454?\n\"Answer: -57597*w**2 + 1895*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010001?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 663 = 0. Suppose -5*a = y - j, 5*y = -a - a + 93. Suppose -3*x + a = -49. Solve 4*r + t + 25 = 4*t, 5*t - x = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 0.4 (c) -46.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/2, -1\/4, 130, 5, 0.4 in descending order.\nAnswer: 130, 5, 3\/2, 0.4, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263338367, -526676739, -790015111?\nAnswer: -1053353483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -13*f**3\/3 + f**2\/2 + f - 6. Give m(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-153)\/(-6))\/(2\/4). Let l = y - 33. What are the prime factors of (0 + 1)*l\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5131 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -30. Suppose 5*o + j = 2*n, 3*n = 7*n - o - 88. What is the remainder when 114 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 10. Suppose 18 = -3*z - 21. Let y be d(z). What is the greatest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1704\/3124 - (-64)\/(-440).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 19 = 3, 4*j + 58 = 2*o. Suppose 5 = h, h = -7*f + 4*f + 20. Solve -o + f = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o - 1. Let t be d(1). Let y = t - -8. Solve -2*u = x + u + 7, 5*u + 15 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 - -8) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5)*-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Suppose 2*t - 2*b = 2, a - 9 = -3*t + 2*b. Suppose p = 4*u - 13, -1 = -t*p - 4. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1248\/1991?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -459\/10 + 46. Which is the nearest to 2? (a) 2\/5 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**5\/20 - i**4\/4 - i**3\/6 + i**2 + i. Let d(t) = t**2 + 2*t**2 - 4*t - 3*t**2 - 9 + t**2. Let f be d(6). Calculate p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + -1 - (23 + (-9 + -6 - -5) + -12)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five eighths of a week?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*g**3*p**2 + 134*g**3*p + 99*g**3 + 81751*g**2*p**2 - 9*g*p**2 - 87*g*p + 5*p wrt p?\nAnswer: -24*g**3 + 163502*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84)\/(-208) - (-3)\/(-12). Which is the nearest to -2\/3? (a) 1\/5 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/9)\/(2\/(-3)). Calculate the remainder when ((126\/p)\/3)\/1 is divided by (-4)\/14 - 237\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.46 and -4.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 1, f: 4, i: 3}. Give prob of sequence iii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 64. Let x be f(13). Suppose -3*a = 4*j - 71, -2*j - 4*a = -0*a - x. Calculate the greatest common divisor of j and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*i = 17*i - 32391. What is the highest common divisor of i and 767?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(108)\/sqrt(4) - (2*sqrt(3) + -1))**2)*2*-5 + -5.\nAnswer: -95 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 36, 77, 140, 231, 356, 521, 732?\n\"Answer: q**3 + 2*q**2 + 12*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 744428.\nAnswer: 8188708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34611508 - 242*i - 17305755 - 17305753.\nAnswer: -242*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-9)\/(-4))\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 131 = -78. What is the remainder when g is divided by (-70)\/(-105) - (-104)\/6 - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*y**4 - 111*y**3 + 2*y**2 + 2*y - 1215 wrt y?\nAnswer: -1992*y - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414322 - 10?\nAnswer: -414332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17631 less than or equal to 17629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 5*m**2 + 5*m. Let i be l(-5). Let u = -33 + i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 1636\/13. Which is the second biggest value? (a) 1\/3 (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-7) - (-270)\/21. Suppose -a*k = -11*k - 6. Solve -i - 6 = -4*u - 4, 0 = -u + k*i + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 12*j**2 - 976*j + 324 = 0.\nAnswer: 1\/3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z = -f + 19, 0 = 4*f - 2*z - 20. Let u be (-6)\/(-22) + (-21)\/77. Sort u, f, -90, 2 in descending order.\nAnswer: f, 2, u, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z - 10 + 10 + (-5*z + 4*z - z)*(-3 - 1 + 3) + 1 + 2*z - 1 - 2*z - 3 + 3 + 2*z + 0*z - z in the form q + g*z and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.30373 - -0.00373. Sort 25, -1\/6, z, 4 in increasing order.\nAnswer: z, -1\/6, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from wvccc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -3*d + 4*i - 21, -5*i = 3*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 30\/285287?\nAnswer: 30\/285287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 8. Let w = 2152 - 2160. Is w less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -989 - 996139.2.\nAnswer: -997128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 + 4. Let c be o(0). Let b be -2 - (-8)\/c*-1. Let w(r) be the second derivative of -r**4\/12 - r**3\/2 + r. Calculate w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 26*g + 12 = 0. Suppose 0 = 4*k, -g*t - 36 = -5*t + 2*k. What is the highest common divisor of 42 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12*c**2 - 3 + 5)*((-2 + 1 - 1)*(-3*c + c + c) + 4 - 4 + 4*c + (4 - c - 4)*(-92 + 66 + 254)).\nAnswer: 2664*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 65807.43 days?\nAnswer: 5685761952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.011.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*q + 269890 = 233964 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 277 = 289 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/3*(-22)\/99?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 53*g - 42. What is the lowest common multiple of w(25) and 366?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(63\/12))\/(480\/1008)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 5, v: 1, k: 3, w: 1, g: 3}. What is prob of picking 1 g and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14525 by -415.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - (4 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1358 + -162. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 3.1. Let v = f - 2. Let c = 5.7 - 6. What is the nearest to 1 in c, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33\/7, -2, -53\/2, -5, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 124 in -1, -234, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 615421529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 1 - 3*m + 26*m + 36*m.\nAnswer: 60*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**3\/5 - 7064451*u**2\/5 + 56515464*u\/5 - 113030832\/5 = 0.\nAnswer: 4, 2354809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-132)\/(-528) + (-2)\/8. Solve 1 = l, -7*b + 2*b + 4*l - 14 = p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 199, 226, 233, 214?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*u - 122*u - 36 = -217*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 8*j**4 + 3*j**4)*(3 - 3 - j).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 43927, 0.1, -4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2*r - 12*r)*(-229*r**3 + 120*r**3 + 110*r**3 + 2 + 4*r**2) in the form u*r**4 + j*r**3 + d + f*r**2 + l*r and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - 404. Let r be (284\/h)\/(-2*2\/154). Solve 5*z + 4*y + r = 0, -3*y - 10 = -1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.49217cm to nanometers.\nAnswer: 44921700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -255*f - 10. Let x(w) = -253*w - 13. Determine -4*x(c) + 5*y(c).\nAnswer: -263*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24 = 2*n, 33*v = -2*n + 36*v + 11. Suppose 0 = 4*r - 7*r + 12. Sort r, 0, n in decreasing order.\nAnswer: r, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 70 - 22, 0 = 2*b + 3*z - 10200. List the prime factors of b.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1d?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a - 81*a + 28*a + 28*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*o + 32 = -3*o, 5*u + 55 = -2*o. Let h be (7 - u\/(-3)) + 1. Solve h = -5*t, -7*k = -3*k - 3*t + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1\/7, -5, 1330, -3, -2\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1444, 1443, 1448, 1459?\n\"Answer: 3*v**2 - 10*v + 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**5 + 21*v + 22369*v**4 - 3*v**2 + 21*v + v**2 - 22422*v**4 wrt v?\nAnswer: -60*v**2 - 1272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-744)*31*36.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000010010 - -20?\nAnswer: -1000002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 21.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10539.\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 10*a - 11. Determine q(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let z(f) be the first derivative of -f**6\/120 - f**3 + 1. Let d(i) be the third derivative of z(i). What is d(s(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.078 - 11.078. What is the third smallest value in 1\/3, r, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:15 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1837, 0.65, -3, 8, -0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 34. Let v = 13 - n. Calculate the highest common factor of v and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -46. What is the remainder when 111 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -510 + 62. Suppose 0 = -9*u + g + 83. Solve 12 = -s - 2*n, 3*s - 5*n - u = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 393*v**2 + 88*v - 77. Give y(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -11010?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(-3*4\/80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 1. Let u be v(2). Let m = -8 - u. Let r(g) = 3*g**2 - 2*g + 6. Let k(p) = 6*p**2 - 4*p + 13. Determine m*r(o) + 6*k(o).\nAnswer: -3*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q**2 - 3*q - 41. Let i be x(-8). Is -5 + (-6)\/(-6) - i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(20)\/(-1*sqrt(1210) - sqrt(1210)))**2 + (-4 + -2 + sqrt(2) + (-1 + sqrt(2))**2)*2).\nAnswer: -6531\/242 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/89 - 3973\/712. Suppose -2*o = -10, 3*y - 685 + 94 = 3*o. Let f = y + -530\/3. Find the common denominator of f and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 26578*j. Let y(u) = -u**2. What is b(y(t))?\nAnswer: -26578*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 14. Let g be v(5). Suppose -x = 3*x + y - 107, 104 = 4*x + g*y. Calculate the least common multiple of x and 8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 4. Let a(s) = 117. Calculate a(b) - w(b).\nAnswer: -b + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 3, f: 1, l: 2}. Give prob of sequence dq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13315361 (base 8) to base 12.\nAnswer: -1001755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418 divided by 38.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-106)\/(-12) - 3) + (-14)\/(-84). Sort -0.5, 3\/10, k in decreasing order.\nAnswer: k, 3\/10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 23*d**2 + 131*d + 374. Determine a(-13).\nAnswer: -1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**2 - 96*v**2 - 5460*v**3 + 51*v**2.\nAnswer: -5460*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + 63. Suppose -c - 50 = -3*z. Let y(b) = b**3 - 5*b**2 + 3*b - 7. Let a be y(5). Calculate the greatest common divisor of a and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 207 + -207 + (76\/2 - 0). Let u be (p\/152)\/((-2)\/16) + 7. Let q(h) = 16*h**2 - h - 1. Let r be q(-2). What is the greatest common factor of r and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 7*n**2 - 2*n. What is the units digit of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -19. Let a(u) = -2*u**3 + 2*u**2. Let y(j) = -j**4 + 3*j**3 - j**2. Let v(t) = z*a(t) - 2*y(t). Find the third derivative of v(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 60 = 5*q, f + 912 = -2583*q + 2659*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 2*l + l)*(154 - 29*l**2 + 27*l**2 - 607) to the form c*l**2 + w*l + n*l**3 + t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4, 0, 1.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/6 + (-9 - -6). Let h = -0.31 - -0.3. Let g = 69 + -70. Sort g, h, a.\nAnswer: g, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 2*m**2 - 2*m - 3. Suppose -3*u - 3*k + 21 = 0, u + 3*k - 19 = -4. Let l(o) = -2*o**3 - 3*o**2 - 2*o - 4. Give u*l(b) - 4*v(b).\nAnswer: 2*b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**4 + 7620*j**3 - 1793376*j**2 - 10095404*j = 0.\nAnswer: -11\/2, 0, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 - 106) + (52 - (120 + -79))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/(((x\/((x*((x**(2\/3)*x*x)\/x)\/x)\/x))\/x)\/x))\/((x*x**3)\/x**(-1\/7)) assuming x is positive.\nAnswer: x**(-73\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1938.684 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -29941064.\nAnswer: -29941067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1308.4 * -1051.4\nAnswer: 1375651.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10040499 divided by 16989?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4300 and 25?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5056 - -5.4926. Let c = -21974 - -21973.987. Let k = n - c. Put 0.01, 3, k in descending order.\nAnswer: k, 3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.337107 rounded to two dps?\nAnswer: 3.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10726607*g + 8326475.\nAnswer: 10726607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.207 - 0.09. Let j = x - -0.473. Let p = j - 0.5705. Round p to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -38. Solve 2*c + 0*c = -d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 2 - 2 + (-119*v + 182*v - 88*v)*(3 + 37 - 12) to the form a*v + f and give a.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206853 is divided by 6976.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j + 63*j = -157 + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139957975*h**2 - 23*h - 219674.\nAnswer: 279915950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvkjdq. What is prob of sequence kjd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 (base 8) in base 11?\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**3 + 5*g**2 + 5*g + 4. Let k(x) = x**3 + x**2 + x. Let j(r) = -5*k(r) + u(r). Find the first derivative of j(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 3. Let y(o) = -5*o + 5. Let z(a) = -2*s(a) - y(a). Let f(h) = h - 1. What is f(g) - z(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 12. Suppose -5263 = -z*q - 1720. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 59. Determine v(53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -30*q**4 - 26*q**3 - 4546*q**2 - 99*q**3 + 5*q**5 + 4456*q**2 = 0.\nAnswer: -2, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*m**2 - 552 + 547 - 622 - 693 + 27*m**2 in the form v + o*m + s*m**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 2*u**2 + 0*u**2 - u + 2)*(0*u**2 + 2*u**2 - 8*u**2) to j + t*u**3 + p*u**2 + x*u**4 + o*u and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 14*g + 5*g - 21*g in the form n + f*g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.48 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 494*g**3 + 765*g**2 + 90*g + 6. Let k(r) = -r**2 + 15*r + 1. Let i(v) = -6*k(v) + s(v). Find the third derivative of i(t) wrt t.\nAnswer: 2964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7298616556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0*r**5 + 2*r**5 + (-291*r + 12*r + 133*r)*(-2*r**4 + 4*r**4 - 3*r**4).\nAnswer: 147*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12284 and 32204?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, -0.3, -1, 321, 1 in ascending order.\nAnswer: -5, -1, -0.3, 1\/3, 1, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 34091808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2347, 0.1, 6\/11, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/200)\/((-10)\/25))\/(1\/2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 - ((0 - -27) + (-19 - -4))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 5.392 (b) 0.4 (c) -1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.264 and -0.04?\nAnswer: 0.01056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/5 + 7986*v**4\/5 + 96056*v**3\/5 + 51264*v**2 = 0.\nAnswer: -8, -4, 0, 4005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.05, 59, -5, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 1. Let g be (3 - (-142)\/(-40)) + (-3)\/15. Which is the biggest value? (a) g (b) -4 (c) -5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*v - 4*n, 5*n = 4*v + 2*n - 4. Suppose 258 = 3*f - v*m + 9*m, -m = -3*f + 276. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvjj when four letters picked without replacement from jvtvvcjcvxvtcvct.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090752.81 rounded to the nearest 1000?\nAnswer: 1091000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by -216791.\nAnswer: 210\/216791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 757350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -1*2*sqrt(152))\/(sqrt(968)*-1).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spspspppsppsp. What is prob of sequence ps?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*v + 1 = 3*i, 4*v - 7 = -5*i for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12919745 by -1.\nAnswer: 12919745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24450523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, -1\/8, 1630, 7\/3, -4, -5\/2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {v: 1, p: 1, k: 18}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 7*b + 16*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22138 divided by 6?\nAnswer: 11069\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 28365*h**3 - 3184875*h**2 + 90305955*h.\nAnswer: -5*h*(h - 5559)*(h - 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 5. Suppose 2*a - 19 = 1. Let w be (12\/15)\/((-2)\/a). Calculate o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**4 - 108*q**3 + 300*q**2 - 200*q.\nAnswer: 4*q*(q - 10)*(q - 1)*(2*q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*2 + sqrt(30) - sqrt(30))\/sqrt(6)*-5.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 240*x\/7 - 242\/7.\nAnswer: 2*(x - 1)*(x + 121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -38, -3, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35 - 33)*(-132)\/11. Which is the nearest to 3? (a) 1\/5 (b) 0.1 (c) p (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -434, -603, -740, -845, -918?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -31.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -45*u - 88. Let f be k(-2). Solve 15 = 5*a + 5*m, 5*a - 9 = f*m - 4*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 307a4 + -5795?\nAnswer: 2600a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1119601 and -0.13?\nAnswer: 145548.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43246505363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 5*c - c)*(c - 4*c + c)*(0 + 1 + 3).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087 is divided by 56.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 586, 1109, 1580, 1993, 2342, 2621, 2824, 2945?\n\"Answer: -y**3 - 20*y**2 + 590*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -559 - -561. Suppose 0 = -3*h + 2*h + l*o + 27, -h + 17 = 3*o. What is the remainder when 551 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 + -0.43. What is the closest to g in 0.3, 5, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 12*f**2 - 16*f - 32. Let y be p(-13). Let 3*n + 9*n**2 + 0*n - y + 6 - 11 = 0. Calculate n.\nAnswer: -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by 5.\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 16257.357 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 22*s**2. Let z(g) = 2*g - 5. Let q(k) = k - 3. Let v(d) = 10*q(d) - 6*z(d). Give n(v(y)).\nAnswer: 88*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/147 and 3\/10339?\nAnswer: 31017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 14. Let b be g(11). Suppose -n + w + 52 = 0, -w - 205 = -7*n + b*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(98) - sqrt(2)) + (sqrt(128) + 3 + sqrt(2) - sqrt(2)) + sqrt(2).\nAnswer: -13*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25540 (base 11) in base 9?\nAnswer: 55161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 (base 8) in base 2?\nAnswer: 10100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {m: 9, i: 1, r: 2, z: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-15)*(-5 - (-1 + 2)). Let i be h\/(-1) + (5\/4 - -1). Which is the biggest value? (a) i (b) -5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99997 is divided by 1449.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 413540482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 20, 62, 124?\n\"Answer: 10*a**2 - 8*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199862289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -55. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.83795 tonnes in kilograms?\nAnswer: 5837.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 494 - 488 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 9975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((sqrt(22) + (-1*sqrt(66))\/sqrt(3))\/(-6*sqrt(162)))**2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 11144*m + 211014.\nAnswer: 2*(m - 5553)*(m - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o**2 + 1016*o + 531. Determine w(-63).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -158, -402, -744?\n\"Answer: -49*n**2 + n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 39*q = 1832, -313*i + 309*i = 5*q + 239 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-8)\/18)\/2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546379 divided by 51?\nAnswer: 49929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.2330159 - 48.231. What is f rounded to five dps?\nAnswer: 0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 = 222*r - 218*r. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.19 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032086 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10110000 (base 2) to base 12\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*v + 1495, 10*v = 5*t + 14*v - 1495. List the prime factors of t.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2, 529, 0, -35, 3.\nAnswer: -35, -2, 0, 3, 4, 5, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = h - 6, -5*h = -s - 50. Let y(c) = h*c - 3*c**2 - 4*c - 5*c. Let m(n) = -n - 2. Let b(v) = 2*v + 5. Let w(k) = 2*b(k) + 5*m(k). What is w(y(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76592 = -514*r - 3093*r + 11666 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 555, 2\/3, 0.0226?\nAnswer: 0.0226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z + 66. Let n = -78 + 113. Suppose 19*a - 14*a = n. Calculate the least common multiple of w(-13) and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**3*b)\/b)\/b**(2\/17))**(2\/55)*((b*b*((b\/(b*(b\/(((b\/b**0)\/b)\/b))\/b))\/b)\/b*b*b*b)**(-2\/7))**(-6\/5) assuming b is positive.\nAnswer: b**(492\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16606992 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d - n, 4*d - 3*n + 10 = 58. Suppose 76 = d*b - 8*b. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1128428932 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504244 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4814 and 43\/20.\nAnswer: 48140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6846 and 87\/10?\nAnswer: 34230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 345 = 4*d + 186. Which is smaller: d or 40.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q**3 - 166*q**2 + 15*q - 4. Let a(o) = 5*o**3 - 71*o**2 + 8*o. Let t(s) = 5*a(s) - 2*h(s). Determine p, given that t(p) = 0.\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 80*a - 412. Calculate o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 5*c - 5. Let v = 7 + -12. Let o be s(v). List the prime factors of (o\/1)\/((-1)\/2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = d - 11, -3*d - j - 16 + 29 = 0. Solve 4 = 4*n + w, 5*n - w + d = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.116 (b) 0.5 (c) -51 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 28*r**2 + 5*r - 3. Let l be t(-5). Suppose 4*p + l = 12*p. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 6}. Give prob of picking 1 w and 3 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105744523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -141*q**3 - q**2 - q - 1. Suppose -1 = 2*b - b. List the prime factors of f(b).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 2 t when four letters picked without replacement from zsttxtghxtzstzttzgtt.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2875 + 2921. Let w(i) = 13*i**2 - i + 2. Let q be w(5). Calculate the greatest common divisor of q and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/20 + 11 + (-212)\/20.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -68 * 1\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from {y: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 29*l**3 + 6*l**2 + l - 7. Let p(z) = 30*z**3 + 5*z**2 + z - 6. Let i(u) = 7*p(u) - 6*x(u). What is the tens digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 1.1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/13, -0.5, -0.2, -7, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/10)\/((-8)\/((-120)\/9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 20*x**6 - 7*x**2\/2 + 3*x + 12. Find the second derivative of t(s) wrt s.\nAnswer: 2400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/2)*z*z*z**(2\/7)*z*z**0*z*z\/(z\/z**(4\/9)) assuming z is positive.\nAnswer: z**(785\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 77080?\nAnswer: 77077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -3\/2*u**2 + 0 + 0*u**3 + u + 1\/20*u**5 + 0*u**4. Find the first derivative of v(m) wrt m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 0.1408?\nAnswer: 8.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144260 - -2?\nAnswer: 144262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -94. Suppose 4*t - 3*q - 3 = 13, q + 17 = 3*t. Suppose 4*b - 4 = 4*w, -b + 2*w - t = -2*b. Calculate the least common multiple of m and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*o + o + 0*o - 2*o + (31 + 3 + 35)*(4*o - 4*o + 2*o).\nAnswer: 139*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or -13?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + -8) - (392 - 398)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3455 (base 6) in base 11?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 22. Calculate l(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-493))\/(3\/(-1515)). Let i = -58615\/17 + 3449. Let a = w - i. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -6, -175880, -5 in increasing order.\nAnswer: -175880, -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2343 divide 30870100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7439941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.206 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a + 20*a + 5*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*z + 333*z + 48 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1687 - -129abb?\nAnswer: 128434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l**3 + 2*l**2 - 4*l + 3. Let q(a) = 13*a**3 + 2*a**2 - 5*a + 4. Let c(f) = 5*p(f) - 4*q(f). What are the prime factors of c(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -145. Let j(r) = -r**3 - 2*r**2 - 2*r - 4. Let s be j(-3). Suppose s = 2*w + u, -h*w - 3*u = u - 20. Solve w*b = 2*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31056416 and 680.\nAnswer: 155282080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/(1\/(-9)). Suppose -y*v - 76 = -5*v. Suppose -3*n + v = 8. Calculate the least common multiple of n and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(5 + -2) - 2. Let t(w) = -w**2 + w + 1 + 0 + 4 - a. Calculate the smallest common multiple of 26 and t(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*y**2 + 45160*c**3 + 9*c**2*y**2 - c**2*y + 2*c*y**2 + 1810*y**2 wrt y.\nAnswer: 2*c**3 + 18*c**2 + 4*c + 3620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 4*n**2 + 3*n**3 - 4*n**2 + 2*n**3.\nAnswer: 5*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1066\/535 - 226223\/154080. Calculate the common denominator of b and (5\/14)\/(12\/266).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 1 + (sqrt(325) + sqrt(325) + -2 + -3 - (0 + (sqrt(325)*5)**2)).\nAnswer: -8126 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 4046 = -16*s. Let v = -1547\/2 + 657. Let z = s + v. Which is the biggest value? (a) z (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15583 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9122.487cm in millimeters?\nAnswer: 91224.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*t**2 + 2*t**2 - 3*t**2) - 20 + 20 - 3*t**2 + 4*t**2 - 2*t**2 - t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j - 100*j - 45 = -53*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1 - (-5475)\/(-2740). Let a = 3281\/3836 + q. Factor -a*z**2 - 6\/7*z - 2\/7*z**3 - 2\/7.\nAnswer: -2*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 121\/12 - 230\/2760. Let b(r) = -19*r**3 - r**2. Let y be b(-1). Suppose -y*q + z*q = 88. Which is greater: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 + 7*y**4\/24 + y**3 - 238*y**2. Let s be -2 + 9 + (-1 - -2). Calculate m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250124, -250188, -250252, -250316?\nAnswer: -250380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -204 in 1329, -0.3, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -368 (c) 1\/4 (d) 8.9 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 697*q**2 - 52*q + 717. Is t(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 32*g**2 - 61*g + 5. Suppose -5*t + 1 + 9 = 0. Let n(r) = 16*r + 20*r - 16*r**t - 6*r - 3. Let l(u) = 13*n(u) + 6*s(u). Factor l(c).\nAnswer: -(4*c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = d + 65. Let u be (-4)\/((-1160)\/(-1085)) + d. Let l = -1651\/232 - u. What is the common denominator of l and -93\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831042 by 46169.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**2 - 5*j**2 + 4*j**2 + (-4*j + 3*j**2 + 4*j)*(-2 + 0 + 3) - 3*j**2 + j**2 + 4*j**2 as d + s*j**2 + a*j and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -16, 5*o - 5*m + 13 - 103 = 0. Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/14 + 40\/(-560) - -1101?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 7*b**2 + 9*b + 50. Let t be z(-4). Let m be 5\/3 - 1\/(-3 - t). Factor -4\/3*c - m - 1\/6*c**2.\nAnswer: -(c + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c**3\/c)\/c))\/((c\/(c*c**(2\/3)))\/c))\/(c**5*c**(-2\/15)))\/((c**0)**(-9\/13)*c**(-3\/5)\/((c*c\/((c\/c**(-2\/3))\/c))\/c*c)) assuming c is positive.\nAnswer: c**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = g + 8 - 2, -3*g + 4*z - 8 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3106 by -23462.\nAnswer: -1553\/11731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5236 and 16.\nAnswer: -24.3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16 - 16 + h**2. Let c(g) = 3*g. What is d(c(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240360 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -931, -1803, -2825, -3907, -4959, -5891?\nAnswer: -6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*h - 5*m - 6, -13 = -3*h + 4*m. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuououxxxuooououoxux. What is prob of sequence ou?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 3)\/(2\/4). Let v be (-51)\/(-6) - 2\/4. Let o = v - 8. Sort j, 5, o.\nAnswer: o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41666, -83431, -125194, -166955, -208714, -250471?\n\"Answer: a**2 - 41768*a + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20499\/83 + 247. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3 - 63. Let j = 169 + -178. Let o = j - w. Calculate the smallest common multiple of 8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232009\/12211 - (557\/31 - (-3)\/3)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2986 - 233. What are the prime factors of w?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 796 + -469. Let n(b) = -8 - j*b + 163*b + 169*b + 8. Let x(z) = -2*z**2 - 15*z. Give x(n(d)).\nAnswer: -50*d**2 - 75*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*p**3 - 82*p**3 + 2*p**2 + 161*p**3.\nAnswer: -p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-330)\/(-20) + -6)\/((-3)\/(-68)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = -16*t - 438. Let x be (t\/270)\/(2\/3). Let m = 2.2 + -2. Which is the second smallest value? (a) x (b) m (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssbssbsssb. What is prob of sequence sb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 21. Which is smaller: -29 or w?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -4 - -9 - -9) + (144 + -5 - 24)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0*r**3 - 1\/40*r**5 + 0 - 1\/16*r**4 + 17*r + 7\/2*r**2. Let i(d) be the first derivative of n(d). Factor i(q).\nAnswer: -3*q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w + 3. Determine j(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -137 (c) -10 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-35*l**4 - 40*l**4 + 155*l**4) - 16*l**4 - 9*l**4 + 30*l**4.\nAnswer: -155*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -y + 9*u - 11*u, 5*y + 8*u = 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7275440606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2910, -355, 0, 5, 3 in descending order.\nAnswer: 5, 4, 3, 0, -355, -2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 725 = -126*r - r. Let p(t) = -t**2 - 8*t - 10. Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207 - 207.273. Let b = -77.69 + 78. Let o = b + z. What is o rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -223671732.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*z + 18*z - 774 - 674 = -20663 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*d**5 + 11*d**4 + 2*d**3 + d**2 + 113801*d wrt d.\nAnswer: 640*d**3 + 132*d**2 + 12*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687093 is divided by 1898?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -23*f + 9*f + 21*f - f + 15*f. Let z(y) = 3*y. What is u(z(t))?\nAnswer: 63*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(-19)\/57?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -13*d**6\/360 - 7*d**4\/24 + 13*d**3\/3 + 10. Let h(i) be the third derivative of z(i). What is the derivative of h(g) wrt g?\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -2, 48049, 3, -1, 4 in ascending order.\nAnswer: -2, -1, 1, 3, 4, 10, 48049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.7 - -14.1. Which is the third biggest value? (a) -46 (b) 0.3 (c) u (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 5*y + 70, -5*n + 290 = -5*y. Let t = n + -13. What is the remainder when t is divided by (((-45)\/3)\/(-15))\/(1*6\/132)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - sqrt(98)*1) + 3)**2 + -3 - ((sqrt(160)\/sqrt(5) - sqrt(2) - sqrt(2)) + -4 + -4)**2.\nAnswer: -66 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134504557.\nAnswer: 11, 127, 96281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*(-4 - 11). Let c be -2 - b\/(1\/(-1)). Let j(k) = 2*k - 4. Let r be j(c). Solve -4*h - 3*x + 29 = 0, -2*h - x - r = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/224*56\/(-32).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341902, 683797, 1025692, 1367587, 1709482?\nAnswer: 2051377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -6478 in decreasing order.\nAnswer: 2, 1, -6478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 59*c**2 - 31*c + 31. Let i be a(30). Suppose -t - i + 7 = 0. What is the third smallest value in 2\/9, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 18 + -4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255771 is divided by 25562.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -36. Calculate the remainder when 214 is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/10 + u**4\/4 - 2*u**3\/3 + u**2 - 2*u. Let t = 28 + -26. What is v(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 122245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 945359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srv when three letters picked without replacement from svdsdipr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(((-6)\/(-15))\/(-1)). Solve -2*t - z - 8 - 2 = 0, 5*t + 4*z + n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.7? (a) -154 (b) -3\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7940 = -26*m - 7238 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8693*h**2 + 7059*h**2 + 7133*h**2.\nAnswer: 5499*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.60297 - 0.00297. Put 0.066, 0.2, l, 1 in decreasing order.\nAnswer: 1, l, 0.2, 0.066","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 0.4, 0.34, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 11*b**2 - 12*b + 14. What is j(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1550, 4933, 10534, 18353, 28390, 40645?\n\"Answer: 1109*v**2 + 56*v + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.4. Let c = 4563 - 4562.6. What is the second smallest value in u, -4\/7, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:27 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 524600043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 15*h - 72. List the prime factors of 2*((-6363)\/(-6))\/h.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23927382 is divided by 725072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (93269\/2135 - 43)*450. Factor -192\/7*n**2 - w*n - 6075\/7.\nAnswer: -3*(8*n + 45)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/3 + 12376*c - 57437016 = 0.\nAnswer: 9282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26446873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -322*a**2 + 783*a.\nAnswer: -a*(322*a - 783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (24 + 18 - 13).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:50 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579001*m + 579064*m = 7623 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 41*l**3 - 54 + 29.\nAnswer: -41*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*p**2 - 6*a - 48*p**4 - 8*p + 1 wrt p.\nAnswer: -2*a - 576*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l + 134 + 32 = -6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-144)\/27)\/(6\/(-6336)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-86)\/(-180). Let r be 1 + (8 - 6 - 3). Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:10 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/45920 and 65\/66912.\nAnswer: 2341920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1832 + 1831.75. Sort 0, k, -1\/8.\nAnswer: k, -1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 5*l**2 - 3*l + 6. Let r be v(6). Suppose -d = 2*d - r. Solve -8 = -4*a + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 131*c - 135*c, 5*p - 4 = 4*c. Solve 70*x - 76*x - 18 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -74 + 77 - 5*2. Put -1, -2, 2, b in ascending order.\nAnswer: b, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*w - 40, -3*u + 5*w + 5 = 3*w. List the prime factors of (-1)\/(0 - u\/665).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujwalqjjuqq. Give prob of sequence jul.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 230 - 786 = 0. Let v = w + 291. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.624 - 28.524. Let d = n - -40. Round d to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 5.\nAnswer: -9, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 1369?\nAnswer: 39701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 - 5. Let q = n - 0.3. Suppose 0*g - 3*g + 13 = 2*z, -2 = -2*g + 2*z. Which is the nearest to q? (a) g (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Suppose 3*k + 3*h = 5*h - 10, 4*k - 2*h + 16 = 0. Let z(l) = 2*l**3 - 1 - 7 + 14 + 6*l. Let a(c) = -c - 1. Determine k*a(n) + r*z(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/66*2*8\/32.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 - -2.3. Suppose 69*h = 66*h + 33. What is the nearest to 1 in f, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/14 - (1090786\/(-13363) - -80).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46914\/19 or 2470?\nAnswer: 46914\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - b + 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-5))\/((-1)\/(-5)). Let i be 16\/(-72) - ((-94)\/18 - -3). Suppose -62 = -a + 5*j, -i*j + 3*j = 2. What is the greatest common divisor of a and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -4536, -10429, -18700, -29349, -42376, -57781?\nAnswer: -75564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -458 (base 12) to base 13.\nAnswer: -3a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/((h*h*h*h*(h**24*h)\/h)\/h))\/h))\/h*h\/(h*h**(-6))*(h**(-5\/7)*h)**25 assuming h is positive.\nAnswer: h**(281\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7*y**1)\/((y\/y**7)\/y**(2\/7)))\/((y**(-2\/5)*y*y**(-3)*y)\/(y**3*y\/y**(1\/5))) assuming y is positive.\nAnswer: y**(682\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/46*-8*17\/136?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61405362*b**3\/5 + 739745664*b**2\/5 + 6921928*b + 81120.\nAnswer: 2*(b + 12)*(5541*b + 130)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/2, 3, -1, 278\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/54)\/(-11*(-5)\/15).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10 - ((-25)\/18)\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418389739.\nAnswer: 199, 2102461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 4*b**3 + 536*b**2 + 2544*b + 2016.\nAnswer: -4*(b - 14)*(b + 1)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1)*(35\/245)\/((-22)\/7)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.4 + 4.4. Is j != 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1477 - 1?\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c + 6. Let f(k) = 10*k + 5. Let d(i) = -2*f(i) + 3*t(i). Let j be d(-4). Let v = 109 + j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a day in minutes?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwweewrreeewee. What is prob of sequence eew?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1427 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 30. Let i(u) be the third derivative of -u**4\/12 - u**3\/2 - 2*u**2. What is i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 5*t**2 + 2*t**3 - 2*t + 5*t**2 + 1 + 3*t**2 in the form h*t**3 + l*t**2 + n*t + k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052658439 rounded to 4 decimal places?\nAnswer: -0.0527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 632323 and -2.73?\nAnswer: -1726241.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*m + 1 = -2*a, 0 = 3*a + 2*m - 29. Let j = -5 + a. Solve -2*g - 8 = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*r**3 + 3864*r**2 + 80560*r + 473632.\nAnswer: 4*(r + 82)*(3*r + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000486832 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 19*q + 10*q - 22*q + 6*q. Let x(m) = m**2. What is x(l(g))?\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -389, -3, 10, -2\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9320.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*(-20)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5024?\nAnswer: -5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**30*k**(-2\/21)*k*k)**(-27) assuming k is positive.\nAnswer: k**(-6219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -7\/295, -3, 0, 76 in decreasing order.\nAnswer: 76, 0, -7\/295, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = w + 23, -8422*n + 8417*n + 19 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/9450 and 67\/450.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000186606 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/13 + 44\/39. What is the closest to p in -5, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4535*t**3 - 3307*t**2 wrt t.\nAnswer: 27210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 - 3. Let b = 1.974 + 0.026. What is the biggest value in b, w, 0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5633348 and 2964920.\nAnswer: 56333480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 5:01 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/2, -74.33?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-326*u + 577*u - 353*u)*(-2 - 4 + 5) to r + o*u and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -4. Solve 0 = -h*m - 2*c + 4, -4*m = 3*c - 8 - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506933820 to the power of 1\/2, to the nearest integer?\nAnswer: 22515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:43 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-6))\/r)\/r*r\/r**(2\/5))**(-25))**(1\/13) assuming r is positive.\nAnswer: r**(160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b - 0, 0 = -3*u - b + 33. What is the third derivative of -22 - u*m**5 - 9*m**2 + 22 wrt m?\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 7*u**2 - u + 29. Let q be r(0). Solve 5*p - 8*y + q = -5*y, 0 = 2*p - y + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(720) + 1)*1 + -5)**2*3*6.\nAnswer: 6048*sqrt(5) + 52722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(3969)*1)\/((sqrt(847) + sqrt(847)*4 + sqrt(847))*-6 - sqrt(847)).\nAnswer: 108*sqrt(7)\/407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5919 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssesessssesessusssse. Give prob of picking 2 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.73? (a) -0.3 (b) 12 (c) 77 (d) -3 (e) 0 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4 - 4*x**3\/3 + 34*x**2 - 60*x + 249. Factor l(g).\nAnswer: -4*(g - 3)*(g - 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8195 is divided by 1148?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/2, -2, 4, 4\/7, -2\/2639?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153933865.\nAnswer: 5, 30786773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 33. Let p = 19 + t. Does 26 divide ((-202)\/6)\/(2\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1519 - 1512.09. Let d = -7 + a. Let x = 0.01 - d. Which is bigger: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q**(-4\/3)*q**(-4)*q*((q*(q*q*q\/((q**8*q)\/q)*q)\/q)\/q*q)\/q)\/((q**(-9)\/q)\/(q**(-2\/5)\/q*q)*q**1\/q**(-2)) assuming q is positive.\nAnswer: q**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1349*a + 41832. Determine v(-31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/5 - 992*m**3\/5 - 163344*m**2\/5 - 1763584*m + 18297184\/5 = 0. Calculate m.\nAnswer: -166, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -287*a**6\/40 - a**5\/60 - a**4\/8 - a**3\/2 + 81*a**2. List the prime factors of i(-1).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/4)\/(1250\/1000)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 5. Let x be v(-9). Let c be (-3)\/(-6)*2*5. Suppose -2*d + 14 = t + 3*t, -3*d = 5*t - 16. Solve x*p + 0 = o - 4, -t = 5*p - c*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*z + 305*z - 852 - 1776 - 2562 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 3095055\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.43 + -0.43. Let n = 0.42 - 0.02. Which is the closest to k? (a) n (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 85*b**9\/504 - b**5\/10 + b**4\/24 + 76*b**2 + 2*b. What is the third derivative of l(w) wrt w?\nAnswer: 10200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724b2 (base 15) in base 7?\nAnswer: 50231363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10 and 101\/378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 560455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 60*r**2 + 294*r + 17. What is the hundreds digit of g(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (764\/(-3))\/((-9)\/(-3 + 84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 3) to base 4\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 6. Let t be l(-9). Put -2, 0, t in decreasing order.\nAnswer: 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:36 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let g be 7360\/1280 + ((-4)\/(-16) - 1). Solve 17 = d + g*n, 2*n - 8 = 2*d - a*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 6*a**2 - a**3 + 3*a**3 + (3*a**3 - 4*a**3 + 2*a**3)*(-1 + 1 + 2).\nAnswer: 4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-20)\/(-10)*1\/(24\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - d = -0*d + 520002, 2*d = -s - 104004. Round s to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 717 - 417. Suppose k = o + 4*o. Does 30 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16305920 and 1920?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from ldddkdlrdddrrwddd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 = -1. Let f be c*((-4)\/(-3))\/(-2). Suppose 3*u + 2*i = 4 + 60, -f*i + 84 = 4*u. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2588\/(-156) + (-4)\/52. What is the second biggest value in y, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -142*g - 314. What is the remainder when y(-8) is divided by 138?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -99166.793 and 73.1.\nAnswer: -99093.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -227?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26\/9 (b) 0.5 (c) 703 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(28) + sqrt(847) + 0 + sqrt(847).\nAnswer: 1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08548 - -0.91452. Put y, -703\/5, -3, 3 in decreasing order.\nAnswer: 3, y, -3, -703\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.1*-0.05.\nAnswer: 1.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + d = -g - 19, -2*d = 3*g + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708023603 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -3*d**3 + 1\/2*d**2 + 0*d + 20. Find the second derivative of y(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 12256248*g + 56330855639064.\nAnswer: 2*(g - 9192186)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40449739 and 16687?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17.4867*7\nAnswer: 122.4069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 118, 485, 1106, 1987, 3134?\n\"Answer: t**3 + 121*t**2 - 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + o + 96 = 0, o = -t - 4*o + 70. What is the lowest common multiple of 5 and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 732d?\nAnswer: -7332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 2*t**2 - 4*t - 12. What are the prime factors of r(-4)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-40))\/((-2)\/30). Let m = p - -20. Calculate the smallest common multiple of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)\/((-2)\/2). Let n = 0 - 6. Let t(c) = -c**2 - c. Let s(q) = -43*q**2 + 13*q**2 - 6*q + 22*q**2. Determine n*t(z) + w*s(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -80, -24 + 86 = 4*p - 2*i - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 264. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(931) + -2 - (-2 + sqrt(931) + -4) - (-5 + (sqrt(931)*2 - sqrt(931)) + sqrt(931) + 4)*6)**2.\nAnswer: -2240*sqrt(19) + 238436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b762b + -2?\nAnswer: b7629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20045080 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 1 + a**3 + 5*a**3 - 4*a**3 - 10*a**3 as t*a + d*a**2 + j + v*a**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/507 and -149\/2088?\nAnswer: 352872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2 (c) 34.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231977*j**2 + 2 - 8*j**3 - 4*j + 4*j + 231995*j**2 to the form o*j + i*j**3 + r*j**2 + f and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z. Let n(h) = 384*h - 84. Give n(c(d)).\nAnswer: 1152*d - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541961 divided by -1.\nAnswer: 541961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2 - 302324*z + 302322 = 0.\nAnswer: 1, 151161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971448797?\nAnswer: 11, 929, 95063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*z + t - 7, -84 = -5*z - 3*t. Calculate the remainder when (22\/6)\/((-1)\/(-39)) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4 and 81\/1990?\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.311 * -0.5.\nAnswer: -1.1555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 152245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 38. Let g(h) = -h**3 + 6*h**2 + 4*h - 6. Let i be g(6). What is the highest common factor of i and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4 - h**2 + 0*h - h - 38. Let b be u(0). What is the tens digit of (-1)\/2 + b\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4522798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -192.\nAnswer: 5\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -12*k**2 + 0 - 1\/4*k**5 + 0*k**4 - 1\/6*k**3 + 0*k. Let a(n) = 2*n + 19*n - 11*n - 11*n. Calculate d(a(u)).\nAnswer: -15*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 60*f**2 - 35\/24*f**4 - 5\/24*f**6 + 0*f + 3\/2*f**5 - 5*f**3 + 0. Let n(d) = 0. What is d?\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 7. Let m be c(-5). Let p = m + 0. Calculate the lowest common multiple of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 6948.\nAnswer: 104220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*c = 448*c - 220717. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 j when four letters picked without replacement from {q: 1, e: 11, j: 2, c: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -213 + 234. Suppose 6*u - g*u = -4305. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 48\/17 (b) -9 (c) -24 (d) 3 (e) 1 (f) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19618 <= -843623\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6a (base 14) to base 8.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*f**4*j**2 - 3*f**3*j - 40*f**3 + 321*f**2*j - 8*f**2 + j**2 wrt f.\nAnswer: 1008*f*j**2 - 18*j - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 - 4*q**2 + 14*q - 87. Let y be f(6). Solve -2*v - z + 5 = -3*v, -y = 4*v + 5*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 37 = -2. Let q(z) = z - 10. Let a be q(h). Let t(j) = -2*j**2 - 3*j + 1. Determine t(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose 6 = 2*k + 2. Let a be (1\/7)\/(k\/(-6)). Is a equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/15 and -2\/699?\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**6\/360 - c**5\/40 + c**4\/24 + 7*c**3\/6 - 40*c. Let i(k) be the second derivative of h(k). Calculate i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-1 - (-104)\/109). Let m = n - 3859\/5232. What is the common denominator of m and 5\/((2\/(-2))\/((-551)\/(-116)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8830*q + 17498. Give j(2).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**8\/1260 - i**7\/315 + i**5\/45 - i**4\/18 + i**3\/2 + 4*i. Let h(j) be the second derivative of f(j). Factor h(p).\nAnswer: 4*(p - 1)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-22)\/((-660)\/(-695)) + 23 and 65\/25823.\nAnswer: 154938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 206\/20. Let u = n + 52\/5. Let w be (-9)\/6*1\/(-6). Which is the nearest to u? (a) 5\/3 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -25. Calculate the remainder when 117 is divided by 26 - (0 + (-5 - u)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*(4*i - 2*i - 4*i + (-5*i + 2*i + i)*(2 - 2 - 3) - 721 - 13*i + 721).\nAnswer: -54*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.9 + -24. Let y = 22 - 21.85. Let p = y - -0.35. Which is the nearest to f? (a) p (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 127*k**2 - 32770*k + 1197. Calculate q(258).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 2992?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79\/6 + -529\/42. What is the biggest value in t, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j)\/j)\/j**(-2\/33)*j**(1\/3)*j*j*j**(1\/22) assuming j is positive.\nAnswer: j**(29\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + t**4 - 3*t**4)*(0 - 2 + 4)*((-2 + 2 - 1)*(3*t - 3*t + t) - 4*t + 4*t + 3*t).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**3 - p**2 + p**2)*(-2*p + 4*p - 3*p) - 3 - 77*p**2 + 24*p**4 + 80*p**2 - 20*p**4 in the form b*p**4 + x*p + c*p**2 + m*p**3 + l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/(-68)*(-5)\/70.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**2 + 3*t**2 + 3*t**2)*(-7*t**3 + 3*t**3 - 7*t**3) + (0*t**5 - 3*t**5 + 2*t**5)*(0 - 2 + 4) + 0*t**2 - t**5 + 0*t**2 - 76*t - 25 - t**5 + 76*t.\nAnswer: -15*t**5 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 7*a**2 + 4*a + 12. Is f(-5) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 640, -2, 0.5, -60.\nAnswer: -60, -2, 0.5, 640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)\/v**(5\/4)*((v**8*v)\/v)\/v**(1\/9) assuming v is positive.\nAnswer: v**(263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 32 = 3*o + 2*j, -4 = -o + j. Let t = o + -2. Let n(l) = 9*l - 2. Calculate the remainder when n(2) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.199 and 136334595?\nAnswer: 136334601.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + h + 16 = -h, 2*l = -5*h - 28. Let s = 0 + -2. What is the third smallest value in s, 3\/8, l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.79, -1.52, -3?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -50, -79, -122, -179?\n\"Answer: -7*f**2 + 6*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5 - ((-3176)\/(-46052) + 0 + 547\/58).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 30*w**2 - 16*w - 16. Let r(k) = -10*k**2 + 5*k + 5. Give 16*r(h) + 5*x(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 41 (b) 432043 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from ifiiffiiffifi.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Let m(h) = 0*h**2 + 5 - 2*h**2 - a. Let i(u) = -3*u - 2 + 2. What is m(i(v))?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3108?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 16\/72 + (-138498)\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28261043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 4 + 5*i + 0*i)*(i**3 + 0*i**3 + i**3).\nAnswer: 4*i**4 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-33) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 348 = -7*v. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.3 + -31. Let r = f + -3.1. Is -1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42)\/((-7)\/(-21))*-1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*3\/6 + 738. Suppose q = 2*v + 2*v. Suppose 0 = -4*o + 2*h + v, 7*h - 32 = -o + 4*h. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = y - 39733, -3*y - 39742 = -5*z - 7*y. Suppose -10*w = 2296 - z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 504260 to the nearest one thousand.\nAnswer: 504000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.49615 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v - 2*r, -2*v + 5*r + 0*r - 25 = 0. Suppose -2*c + 2 + 8 = v. Solve c*z - 10 = -y, 0 = -4*y + 5*z + 3 - 13 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95.48406 - -0.2934\nAnswer: -95.19066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*t**2 - 367*t**2 - 360*t**2 - t - 364*t**2 + 1469*t**2 + 3*t.\nAnswer: 10*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 - 88. Suppose -2*b = -86 - a. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -122, -671, -2158, -5051, -9818, -16927, -26846?\n\"Answer: -78*m**3 - m**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1167875520 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(5\/(-10))*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/32 - (-9120)\/1536.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(8 + 2 - 7)*((h**2 - 3*h + 3*h)*(1 + 0 + 0) + (0*h - 4*h + 2*h)*(8*h - 2*h + 0*h)).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9782473 is divided by 233.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxlxuxlux. Give prob of picking 1 u and 1 l.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 30. Let l(b) = -269*b. Calculate l(i(n)).\nAnswer: -1614*n - 8070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -26. Suppose 5*j - 3*q = 30, 2*q - g = -5*j + 1. Is 2*j\/2 + 10 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 248*t - 1 + 5 + 118*t)*(1 + 5 + 4) to the form p*t + d and give p.\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 29 - 107 + 34 + 44.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l + 149 = -1057 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1607 - 0.1393. Let q = 561\/5 + -111. Which is the third smallest value? (a) g (b) q (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from mmttm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*a**2*k**2 + 289*a**2 - 2*a*k - 2910*a - k**2 + k wrt a.\nAnswer: -88*k**2 + 578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**4 + 2*d**4 + 5*d**4 + (-8*d + 2 - 2)*(4 + 2*d**3 - 4) - 11*d**4 - 27*d**4 + 141*d**4 to the form r + c*d**4 + h*d + i*d**2 + l*d**3 and give c.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, n: 4, v: 4, t: 3, j: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 57?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59006197 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3945348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*c + 18, -91 = -3*i - i + c. Suppose -6 = 21*w - i*w. Put w, 7, 0, -4 in ascending order.\nAnswer: -4, 0, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + -0.1. Let o = 0.3 + f. Sort 2, o, -1.1 in ascending order.\nAnswer: -1.1, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 12*h + 39. Let x be d(6). Suppose x*p + 752 = f + 6*p, 4*f - 2*p - 2994 = 0. List the prime factors of f.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (28 - (28 + -47)) - -25?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - 1. Let h(k) = -9*k**3 - 4*k**2 - 20*k. Let q(l) = 18*l**3 + 9*l**2 + 40*l. Let s(i) = r*h(i) - 4*q(i). What is the second derivative of s(y) wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31784 and 1392?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = p - 0, 0 = 5*o - 2*p + 3. Let a be -2*o + (-630)\/(-321). Let q = a + -71\/963. What is the closest to 1 in 4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 40 = -8*u. Let d = 2 - u. Is ((-15)\/(-2))\/(-5) + 18185\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7593 is divided by 155.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1514737 - 2?\nAnswer: -1514740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14041, -14102, -14219, -14404, -14669, -15026, -15487, -16064?\n\"Answer: -2*m**3 - 16*m**2 + m - 14024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19944829 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11817368*w - 11817600*w + 23635253*w.\nAnswer: 285*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4604.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:43 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - y = -x - 26, 0 = 3*x + 3*y - 42. Let v be (-2)\/12 - (-74)\/x. Find the third derivative of -2*w**2 - 6*w**4 + v*w**4 - w**5 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or -29?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3423015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-3)**2 + sqrt(684) + -1 + sqrt(19).\nAnswer: 7*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1979761*l**2*n**2 - 2*l*n**2 + 47*l*n - 6*n**2 - 288*n wrt l.\nAnswer: -3959522*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 5, u: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 14. Give y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6574 + -6586. Is 1.97 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/272 and -169\/60.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36871082 and 5470.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 892*d**5 + 4*d**2 - 6 wrt d?\nAnswer: 53520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -302 + 26?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, s: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -0*s - k - 1, 3*s = k - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 4*g + 10. Determine t(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -2, -4, -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -226 (b) -9 (c) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 - 158*u**2 + 6628*u\/3 + 2368.\nAnswer: 2*(u - 222)*(u - 16)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a82 (base 12) to base 14.\nAnswer: -44a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 150 = -4*a. Let l = 16 + -4. Suppose l*b - 104 - 964 = 0. Calculate the remainder when b is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-12)*(-4)\/(-5). Solve 7*b + l = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 35 + 48 = 73 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499055286 to the power of 1\/3, to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 217*h**2. Let j(g) = -g. Give j(i(p)).\nAnswer: -217*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 39 - (2 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - (17836\/6 + -1). Let w = g - -1861. Round w to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**4 - j**3 + j + 1. Let a(k) = 14*k**4 - 6*k**3 + 6*k + 17. Let o(q) = -a(q) + 6*l(q). Differentiate o(d) with respect to d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21444693323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/4) + 0. Let h = 1.4 + -1.1. What is the nearest to 2\/7 in 0.2, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 653235400 to the nearest one million.\nAnswer: 653000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) 3 (c) 118 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 17. Let q be t(-5). Let r(m) = 2*m**2 - 2*m - 1. Let p be r(-4). Suppose q*s - p = -9. Solve 0 = 4*g + 2 - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/6 + 1\/(-3). Suppose 3*x + 5*r + p = 0, 2*r + 3 = -6*x + 3*x. Let u = -0.3 + 0.8. Sort -0.3, u, x in descending order.\nAnswer: u, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62335, -13, 5, -0.03 in descending order.\nAnswer: 62335, 5, -0.03, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Suppose -h = -0*h + 2. Sort 0, h, 1, b in increasing order.\nAnswer: h, b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 3037*m + 15185. Determine k(5).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -2 (c) 1\/2 (d) -1 (e) 20\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 20. Let q be ((-8)\/(-6))\/((-2)\/(-6)). Find the third derivative of -q*u**3 + 4*u**3 - u**i + 0*u**3 + 4*u**5 wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740509633 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493767038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -12*v**5 - 3113*v**4\/3 + 2836*v**3 + 36577*v**2\/3 + 5228*v + 1780\/3 = 0?\nAnswer: -89, -2, -1\/4, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 272122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 1)*(0 - 2 + 3)*(-245 - 23*c**4 + 245).\nAnswer: -138*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -176? (a) 5 (b) -0.148 (c) 5\/32 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + 3*v + 2. Let p be x(-1). Which is the fourth smallest value? (a) p (b) 1 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:50 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*420\/(-12)*312\/1170\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 10 = 11. Calculate the remainder when c + 1 + (-8 - -90) is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 8. Let o be (16\/(-20))\/(k\/(-15)). Let t(u) = -4*u - 9. Is t(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7c04a (base 13) in base 5?\nAnswer: -2002024113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823359, 823307, 823239, 823149, 823031, 822879?\nAnswer: 822687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.071 times -181.127\nAnswer: -12.860017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1356*s + 57. Let j(t) = -226*t + 10. Determine 17*j(d) - 3*x(d).\nAnswer: 226*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(24)\/(sqrt(80)\/sqrt(90)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s + 3. Let j be l(1). What is the third derivative of 7*a**j - 40*a**3 - 69*a + 136*a - 66*a wrt a?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a milligram in micrograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -61) + -3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)\/(x\/(x*x**(6\/5))))**(-19) assuming x is positive.\nAnswer: x**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*t + 2*s, 48*t = 40*t + 6*s - 56 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/51*12\/60.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*8\/112)\/(((-318)\/1113)\/(31\/2)).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 104269.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 260 = -2*q, 5*u - 4*q + 62 = 488. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.5. Let i = -109.08 - -110. Let s = i - 1.12. What is the nearest to -2\/3 in w, 0.3, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1319 - 1278.55066443\nAnswer: -1278.41876443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5769 is divided by 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*a - 558 = 0, 14*a + 366 = 2*c + 17*a. What is the highest common divisor of 120 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*u - 8*u - i + 388, 0 = -4*i + 16 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsaasqsahssqqaqaax. What is prob of sequence ha?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/3 - 52*m**2\/3 - 4*m\/3 + 52\/3.\nAnswer: 4*(m - 13)*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 19*b - 49. Let a be o(-21). Let d be (-1 - 290001) + a + 9. Round d to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114506 and 20902?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/17, -1\/251, -3\/8?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48911\/60 + -4058\/5. Calculate the common denominator of 19\/18 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 5. Let p be s(-5). Let i be (p\/10)\/((-9)\/6). Let h be 0 + 3*(-4)\/(-42). Do i and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11528 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 60*q + 64. Calculate the remainder when 19 is divided by g(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, 1 n, and 1 i when four letters picked without replacement from xniajxxaixvavxnxaia?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1110860, -1110861, -1110862, -1110863?\n\"Answer: -u - 1110859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 2*d**2 - 2*d - 1. Let k be v(-1). Suppose -r = 0, 4*q - k*r - 12 = 2*q. Suppose -7*g + 4 = -5*g. Solve 12 = -g*x + q*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, c: 5}. Give prob of picking 2 m and 1 c.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 14*c - 5*w - 190, -150 = -5*c - 5*w. Let j be (24\/18)\/(c\/3). Determine r, given that -20\/17 - j*r**2 + 14\/17*r = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -69, -113, -175, -255, -353?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 1. Let s(f) = -8*f**2 - 8 + 0*f**2 - 9*f + 10*f**2. Determine -s(k) + 6*x(k).\nAnswer: -2*k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27761 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l + 11. Give w(-9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c = 45*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(22\/(-66))*4*-1. Sort 85, 5, -3, 4, a.\nAnswer: a, -3, 4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k. Suppose 6*v = 162 - 30. Let z = 27 - v. Let g(f) = 15*f - z*f - 6*f. What is m(g(a))?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)*80\/10. Let g = -1 + 9. Let y be (8\/(-10))\/(g\/(-20)). Calculate the highest common divisor of y and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**2*w**2 + 2*p**2 - 115574*p*w + 2339*w**2 wrt w?\nAnswer: 14*p**2 + 4678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287768, 287764, 287760, 287756?\nAnswer: 287752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 4. Let w(v) = 9*v + 8. Let o(y) = 7*a(y) + 3*w(y). Let c be o(-4). Solve -2*p + 4 = -c*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26697 is divided by 2224.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 4. Let z be b(4). Let c(r) = -6*r**2 - 7*r + 4. Let i be c(2). Let k = i + z. Solve 0 = y - k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45023 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11833 a factor of 2747312356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:37 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*z**2 + 2*z - 4*z**3 - 9*z - 65*z**2 + 276*z**2 - 6*z in the form y + o*z**3 + t*z**2 + p*z and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -444999, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -444999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 798.8262 and -3?\nAnswer: -2396.4786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 4. Let k be r(-4). Let w be ((-8)\/14*-11)\/((-4)\/4060*-10). Suppose k*n + n - 632 = -5*o, -n - 3*o + w = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-30)*((v\/(v\/((v*v*(v*(v\/(v\/((v*v*v**(-2\/3)\/v*v)\/v*v))*v*v)\/v*v)\/v)\/v)))\/v*v)\/v*(v*v*v**(-20))\/(v\/((v**(-28)\/v)\/v)) assuming v is positive.\nAnswer: v**(-227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*q + 214, -3*a = -q - a + 92. Calculate the remainder when q is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 1:14 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*c + 380 - 116 = 445 + 1091 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161260 (base 11) to base 12.\nAnswer: 100ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*f*g**2 + 9*f*g + 2*f + 2*g**2 + 103*g with respect to f.\nAnswer: -62*g**2 + 9*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -12*m + 66 - 11 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeenene?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 76?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 128\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 66*f**2 + 145*f - 603. Let z be n(68). Let l be (18\/7)\/((-2)\/(-14)). Calculate the highest common divisor of l and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2 and -379340.\nAnswer: -379338.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/32, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/44 + 1370474\/(-77)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(15\/2))**(-24)*(j**13)**(1\/18) assuming j is positive.\nAnswer: j**(-3227\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h**4 + 5*h**2 + 5*h + 14. Let g(y) = -28*y**4 - 7*y**2 - 7*y - 21. Let p(s) = -5*g(s) - 7*w(s). What is the derivative of p(f) wrt f?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437198086?\nAnswer: 2, 7, 421, 583169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 2\/115174711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278 - 264. What is the remainder when c\/(-3)*2\/(4\/(-150)) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/51*1068\/1246?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 33*l**2 + 31. Let q(c) = 56*c**2 + 64. Calculate 2*q(o) - 5*w(o).\nAnswer: -53*o**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3276682958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/40)*i*i)\/i)**47\/(i**(21\/8)\/i*i*i**(-14\/3)) assuming i is positive.\nAnswer: i**(3013\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674425 to the power of 1\/2, to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 14. Solve g + 4*d + d + 19 = 0, -5*g - a*d = 35 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:59 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/344 and -55\/24.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20900 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 8*x**2 - 9*x - 1. Let u = -30 - -39. Let q be p(u). Let t be -9 - -12 - (1 - q). Which is the closest to t? (a) 0.2 (b) -1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -15. Let h be (8\/(-40))\/(4\/x). Find u such that 1\/2*u + 0 + h*u**3 + u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18013 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81 - -c32b4?\nAnswer: c3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 - 113 - (-12 + 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 4*f + 4. Let v be z(0). Let m(k) = -14*k + 3. Let h be m(-3). Suppose 0 = v*n - 27 - h. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6259634952915?\nAnswer: -6259634952918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(147)*2 + sqrt(147))*4)**2 + (sqrt(84)\/sqrt(63))\/sqrt(4)*-5 + 2 + -5.\nAnswer: -8069*sqrt(3)\/3 + 21421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11318 + 45271\/4. Suppose -2*q - l = 8, -5*q - l = 22 + 1. What is the biggest value in q, -0.7, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y**(-1))\/y*((y*y\/((y\/(y*y*y\/(y**(-2\/7)\/y)))\/y))\/y)\/y*y**(-2\/9)*((y**(-9)\/y*y)\/y)\/y*y assuming y is positive.\nAnswer: y**(-374\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 5 - 116 + 8*n**3.\nAnswer: 8*n**3 - 289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 88899*b - 88896.\nAnswer: -3*(b - 29632)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*b - 30, 0 = -3*b - 3*t + 144 - 111 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 13) in base 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 756.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/3*12\/(-18). Let g be 186\/o - (4 - 5). Let a = g + 145. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*u**3 - 4 + 19441*u**2 - 19441*u**2.\nAnswer: 85*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 13*b - 20*b - b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -2\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -201300 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -21. Let z = 10 - v. Suppose -4*r + 270 = -2*j, 5*j - 330 = r - z*r. What is the tens 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 - 76\/(-84))*(-4476)\/(-373)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - 16*a**3 - 329143*a**2 + 329141*a**2 + 12*a - 14*a in the form w*a**4 + l*a + r*a**3 + u*a**2 + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + 279. Let h = y + -295. Calculate the least common multiple of h and 27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42 - -30)*2\/(-3). Let t(z) = z - 17. Determine t(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 10*b - 15. Let n be x(-5). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177968, -711877, -1601726, -2847515?\nAnswer: -4449244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10921*q**3 - 5*q**2 - q + 154473?\nAnswer: -32763*q**2 - 10*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12849, 26276, 40273, 54840?\nAnswer: 69977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/7430 and 109\/1255670?\nAnswer: 1255670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17577.965 bigger than -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -989\/273 - -25\/7. Which is smaller: 2\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44708.\nAnswer: 2, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 1. Let t be (6 - 3) + 15\/(-3). Let u(z) = -z. Determine t*u(l) + c(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 34 = -246. Let l be ((-12)\/q)\/((-15)\/(-200)*-2). What is w in l*w**4 - 6\/7*w**3 + 0 - 8\/7*w**2 - 2\/7*w**5 + 8\/7*w = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*r - 7*v + 24, 0 = 5*r - 5*v - 40. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - w = -141 + 57, -2*f + 2*w = 84. Let l be 12\/2*f\/(-9). Suppose -2*n - r - r = -74, -n + l = 4*r. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 170368000\/7*b**3 - 2\/7 - 1161600\/7*b**2 + 2640\/7*b = 0.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -788259, -1576578, -2364897, -3153216?\nAnswer: -3941535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/80*2970\/(-2079)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9215435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 7198 = -48298. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*l - 5, -4*x - 1036 = l - 1056 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 77*k - 350. Let z be m(5). Is 39 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/9)\/((-12)\/(-40)). Let p = 16\/27 - d. Which is the closest to p? (a) -4\/5 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y - 30 = 0. Let f(v) = -v**3 - v**2 - 2. Let d be f(-2). Calculate the greatest common factor of d and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, k: 3, t: 2, m: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2, 8, -1\/5, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*l + 489 = -5*g + 184 - 267, -24 = 5*g - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**3\/6 + 2*x**2 - x. Let n be d(0). What are the prime factors of (2\/(-1))\/((-1)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 - -2 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -426\nAnswer: 1\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -966935 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-248)\/16)*(5 - -5). Calculate the greatest common factor of 335 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647 - 318 = 20*t + 249 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + (-6 - (7 + 7 - 119) - -3).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -770 + 1271. Let q = j - 501. Which is the biggest value? (a) q (b) 11 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*o + 5, -4*o - 4 = -4*l. Let r = 1 - l. Let f be (-1 + r)\/(7\/(-21)). Solve 4*w + 18 = -2*z, f*z + 2 = -w - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.04 - -0.04. Let y = 61\/2 + -30. What is the closest to -2\/7 in a, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 4*r + 16. Let u be v(-4). Suppose -9*c + u*c = 2772. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*x - 3)*(1 - 1 - 1) + x - 3*x + x + (0 + 0 - x)*(-3 + 4 - 3).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*f - 3*l + 1172, 0 = -4*f - 2*l + 1172. Let d = 288 - f. Let g(x) = x + 9. Calculate g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 47 = 3*z + 6, 59 = -3*z - h. Let i = 84 - z. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((130\/50)\/(-13))\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Let m(n) = -n - 1. Let j(k) = 3*m(k) - 4*x(k). Let o(p) = -p**3 + p**2 + 4. Let w be o(0). Let u = w - 2. Determine j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-35)\/9) + 2\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*f**2 + 36*f**3 + 317 + 4*f**5 - 20*f**4 - 12*f**2 + 8*f - 317.\nAnswer: 4*f*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(48)*3 + -5)*-2 - ((sqrt(288)*1)\/sqrt(12))\/(-2*sqrt(800))))**2.\nAnswer: -7664*sqrt(3) + 728323\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9217 is divided by 2300?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 22*z**2 + 12. Let c be a(-22). Calculate the highest common divisor of c and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00336045515 rounded to 6 dps?\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - l - 8 = 0, 3*p - 2*l = -2 + 9. Let b(z) = -22 - 29 - 23 + 75 - p*z. What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(152)*-1)\/(sqrt(72)\/(-1*sqrt(9)))*-2.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 8*l**2 + 15605*l - 62214. Determine f(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d**2 + d + 1. Let u(h) = -5*h**2 - 2*h + 3. Let t(g) = -u(g) + y(g). Suppose -16 = -3*n - 1. Calculate t(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*f + 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12733.7 to the nearest 100.\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3, 0.06, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by -6.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 12. Sort 4, k, -4 in decreasing order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in -4, -2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3088 and -79\/152?\nAnswer: 58672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 17*l**2 - 3*l - 42. Let o be n(-17). Sort 0, 2\/5, o, -5.\nAnswer: -5, 0, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 138897*d**2 - 6*d + 6. Let x be j(5). Let f = -912401 + x. What is f rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 93, -5, 4, -4 in increasing order.\nAnswer: -5, -4, 2, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c, c - 26 = -5*h + 2*c. Suppose -h*o + 2*o = -52. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9389 is divided by 2333?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + (-7 - ((1 - 10) + 21 + -33)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/17)\/((-1)\/1))\/(1226\/3678)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -442, -663?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a23ac (base 14) to base 16.\nAnswer: 1e9394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4010206*t**3 + 214585?\nAnswer: 12030618*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8958.798t in grams?\nAnswer: 8958798000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p + 15. Is m(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4*1)\/(((-3)\/518)\/((-2230)\/(-15610)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1930524502 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 13*b**2 - 4*b - 1. Let f be m(-13). What is the greatest common divisor of f and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 5*f + 2. What is the smallest common multiple of y(-6) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 111. Which is the nearest to 3? (a) p (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 1}. Give prob of sequence mum.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35760471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/26 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 2*q + 1. Let l(f) = -11*f + 87. Let g be l(8). Let y(z) = z. Determine g*p(n) - 3*y(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*1 + (12\/(-40))\/((-18)\/330). Which is the closest to w? (a) 6 (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 15*g + 8. Let h be s(3). Let a(o) = 24*o - 3. Let f be a(4). Let w = f - h. Calculate the remainder when w is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.503 - 100.597. Let x = w - -104. What is x rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -997 - 2*u**3 - u**2 + u + 5*u**3 + 1049 + 3*u**4 - 4*u**4 + 0*u to m*u**2 + c*u**4 + g + h*u + b*u**3 and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -611\/7 + 87. Suppose 40 - 16 = -4*r. Let v be (r - -3)*(-2)\/(-6). Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 + 1 + 9*i**3 + 3*i - 12*i**3 - 3*i**4 + 3*i to the form v*i**3 + f + c*i + x*i**4 + g*i**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (2 - 8)) + 19 + -21. Solve -c*u = u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1001141231222?\nAnswer: 1001141231232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - o - 6 = 2*o, 0 = -3*j - o - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01374934 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 4*s + 15*a + 2, -2*a - 10 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(112) - (1 + sqrt(9)\/sqrt(3))) + (2 + -1 + sqrt(147))**2.\nAnswer: 53*sqrt(3)\/4 + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Suppose -3*s + 2 = -c, -2*c - 6 = -0*c - w*s. Let v(z) = -z**2 + 5*z + 6. Let m(r) = -r**2. Let a(t) = 2*m(t) - v(t). Give a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 62*m**2 - 176*m + 324. Calculate q(59).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -307*a*n**4 + 13*a*n**3 + 5*a*n**2 + 55*a*n - 16*a + 706*n**4 + 5*n**2 - 3*n + 6 wrt n.\nAnswer: -7368*a*n + 78*a + 16944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/4801 (b) -2\/7 (c) 2 (d) -8 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + -3 + sqrt(1872) + sqrt(65)\/((sqrt(5) - (sqrt(5) - (sqrt(80) + sqrt(5))))*3))**2.\nAnswer: -362*sqrt(13)\/15 + 426343\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310388 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 11) in base 3?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*-7 - -1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - 0.283313\nAnswer: -0.273313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 4*n - 263753 = -28*n. List the prime factors of n.\nAnswer: 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010818898 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -64.993314698749?\nAnswer: -65.993314698749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/5))**46*f*f**3*f*f**(-2)*f*(f**0)**(-1\/10)*f**(-2)\/(f\/f**6) assuming f is positive.\nAnswer: f**(357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146.99997904 + -147. What is s rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((4\/2)\/((14\/1)\/(-1)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3595 or 3567?\nAnswer: 3595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17))*-2*5.\nAnswer: -10*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + g + 0*g + 4*g**2 - 4*g**2 + 7*g**2 + 49 as n*g**2 + s + r*g and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 678*y - 170*y - 347*y to h + f*y and give f.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -571?\nAnswer: -2\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -2015\/16. Suppose -q - q = -2. Which is bigger: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 297, 302, 307?\n\"Answer: 5*r + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 513182 and 340?\nAnswer: 87240940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 - -14623?\nAnswer: 14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 11*c - 11. Let s be q(-12). Let r(b) be the second derivative of 7*b**3\/6 - b**2\/2 - 165*b. Let f(j) = -j. Give s*r(l) + 2*f(l).\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 390. Suppose 0 = -5*t - 0*t + g. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -406, -832, -1268, -1720, -2194, -2696, -3232, -3808?\n\"Answer: -y**3 + y**2 - 422*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 0.1991.\nAnswer: 0.1991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 48 = 24. Let b be -18*m\/8 + 2. What is the second smallest value in -0.4, b, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32777 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rar when three letters picked without replacement from {r: 2, t: 5, a: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**6\/40 + 3*y**5\/8 - 17*y**4\/4 + 51*y**3\/4 - 135*y**2\/8 + 53*y + 7. Determine s, given that c(s) = 0.\nAnswer: -15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-117)\/156).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from {f: 1, a: 1, t: 2, u: 1, w: 1, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5212187 is divided by 370.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8*y + 56. Suppose -14 = -2*l + y. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 399 + -257. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/10)\/o*o*o)\/(o*o**(-15)\/o*o) assuming o is positive.\nAnswer: o**(161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 12. Let z(g) = -7*g - 22. Let q(c) = 5*d(c) - 3*z(c). Let v(j) = -j - 7. Calculate 5*q(x) + 4*v(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4620.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22731, 46031, 69307, 92559?\nAnswer: 115787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**2\/2 - 5*y - 290. Let j(l) = -l - 3. Determine 4*c(w) - 7*j(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -588, -1174, -1760, -2346, -2932?\n\"Answer: -586*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 4 + 1 + 4. Let p(v) = v**3 - 3*v - 3. Suppose 0*a = 2*a - 24. Suppose -a = k - 3*k. Give k*t(c) + 2*p(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -212011 (base 6) to base 5\nAnswer: -1023122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-22)\/v)\/v**(-11\/4)*v\/(v**(-17)*v)*v**(-2\/41) assuming v is positive.\nAnswer: v**(-377\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83, 120, 157?\n\"Answer: 37*f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.2. What is the smallest value in 1, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 12*m. Let u be w(12). Find the third derivative of -14*n**2 + 13*n**2 + u*n**5 - n**5 wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -85*n. Let h(v) be the third derivative of -v**8\/6720 - 3*v**5\/20 - 26*v**2 - 1. Let r(y) be the third derivative of h(y). Give w(r(i)).\nAnswer: 255*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)\/w**(-2\/21)*(w**(-1\/4))**4*(w**(-2)\/(w**(-4)\/w))\/(w**0\/w)**(-16) assuming w is positive.\nAnswer: w**(-890\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -2\/19, -0.2, 3\/5, 2 in decreasing order.\nAnswer: 2, 3\/5, -2\/19, -0.2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 667053683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 2 = 0. Is m < 12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133631, -133630, -133629?\nAnswer: -133628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 105*x + 1. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 54 = -36. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3099156239 to the power of 1\/3, to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.635721s in hours?\nAnswer: 0.0110099225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3.7. Suppose s + 5*t = 1 + 5, 0 = 4*s + 2*t - 78. Let o = s - 16. Put o, -7\/5, l in descending order.\nAnswer: o, l, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180.76746 rounded to the nearest 10?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -616.1098.\nAnswer: 61.61098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/120 + 13*i**5\/60 + 89*i**2\/2 + 40*i. Let k(v) be the first derivative of s(v). Factor k(d).\nAnswer: d**2*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8)*z*z*z*z*z\/((z*z*(z*(z\/(z**(-2\/19)\/z))\/z)\/z*z)\/z))\/(z**(2\/3)\/z)**(3\/19) assuming z is positive.\nAnswer: z**(315\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 617621, 24, 2.\nAnswer: 2, 24, 617621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:58 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {x: 1, c: 2, y: 2, g: 4, r: 8, k: 3}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2209348, 2209347, 2209346, 2209345?\n\"Answer: -y + 2209349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(112)*1)\/sqrt(7))\/(1*1*sqrt(8)*-2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -42*c**2 + 1. Let s(u) = -42*u**2 + 1. Calculate -2*d(o) + 3*s(o).\nAnswer: -42*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17299, 17385, 17523, 17713?\nAnswer: 17955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00897 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -24) + (-3867 - -3782).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*x + 26*x + 214*x + 222*x + 167*x to w + y*x and give y.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -0.5, 1\/5, -3, 178\/5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -6734641 and -6734650 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-53)\/308 - 2\/(-8). Let r = z - 3015\/154. Let h = -67\/5 + 702\/55. What is the common denominator of r and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g + g + 0*g - 4*g. Let w(a) = -7*a**2 - 3*a + 17. Let m(o) = -2*i(o) - w(o). Let d(s) = -3*s**2 + 8. Let f(l) = 9*d(l) + 4*m(l). Calculate f(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7230669 is divided by 430?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505071744?\nAnswer: 2, 3, 1315291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 1, o: 5, k: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 2786, 6246, 11058, 17204, 24666, 33426, 43466?\nAnswer: 54768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 3*z + 4 - 13 + 4*z as b + d*z and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/9*(-9)\/2. Let y be (-3)\/h*(10 + 20\/(-5)). What is the highest common factor of 4 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4 + 10148*w**3 - 1430490*w**2 + 52524664*w - 99408520 = 0.\nAnswer: 2, 71, 4930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - (-814)\/935. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465518927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 144308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 6, -2*d - q = 5 + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/18 (b) 0.5 (c) 3 (d) 2 (e) -1.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 3*c**3 - 12*c**2 + 4*c.\nAnswer: c*(c - 1)*(c + 2)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*l - 1 = 0, -803 = 5*c - l - 844 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4193691 centimeters in micrometers?\nAnswer: 4193.691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose z = g - 28 + 6. Solve -x + 2*q + 29 = 4*x, -4*x + q = -g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/25*(-70)\/42?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:31 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435746, -435643, -435540, -435437, -435334?\nAnswer: -435231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(21)\/sqrt(3) + 5) - (sqrt(448) + 0 + -1)**2.\nAnswer: -424 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*v + 0*v = -3980, 3*u = -2*v - 2986. Is (-15)\/(-9) + -1 + u\/(-18) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 112. Let o be n(-107). Solve 0 = -5*v - 2*z - 2*z + 25, o*v + 5*z = 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-620 - 115 - 459)*(114 - 37*m - 114) in the form r*m + t and give r.\nAnswer: 44178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-614*v - 228*v**2 - 1047*v**2 + 614*v)*(-14 + 14 + 3*v**2).\nAnswer: -3825*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654675, 1309430, 1964261, 2619168, 3274151?\nAnswer: 3929210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12. Suppose 2 = m + o. Let v(q) = -2*q + 3. Let d be v(4). Which is the closest to 0.2? (a) d (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 310692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -54404330 rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*d = -t - 15, -4*d = 4*t - 12. Let l be (-18)\/t + (-1 - -8). Solve 0*o + 4*c = -2*o - l, -4*o + 10 = -c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.85 + -0.5. Let z = s - 0.05. Is 0.1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1013233330?\nAnswer: 1013233333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3 - 3*-1. Let f be 3 - ((-6)\/2 + d). Suppose 4*k = -c - 7, f*c - 14 = 5*k - 1. Is -3\/14 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*g**3 + 2*g**4 - 2918*g - g**2 + 2920*g + 0*g**4 in the form q*g**3 + j*g**4 + c*g**2 + f + t*g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 467390, 934785, 1402180, 1869575, 2336970?\n\"Answer: 467395*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15216 + -10065. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-14 + 51*v - 2*v**2 + 22 - 48*v).\nAnswer: 2*v**2 - 3*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 21 + 18. Suppose -3*n = 5*y + 19 - 1205, a*n = 5*y - 1204. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 22. Let k be o(-8). Let j(i) = 4*i + 11. Let z(d) = 4*d + 10. Let c(y) = 6*j(y) - 7*z(y). Determine c(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 + 2*t + 10. Let d be x(6). Suppose 3*j - 217 = -5*p + d, -p + 125 = j. Calculate the remainder when j is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13712643.\nAnswer: 3, 7, 217661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*k + 99 + 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405 and 602774.\nAnswer: 244123470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31320222 (base 4) in base 15?\nAnswer: 11cb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1274 - -1276. Suppose -4*b + 27 = -5*m, m = -2*b - 3*m + 20. Calculate the lowest common multiple of 34\/f - (0 + 11) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1553702, 1553704, 1553706, 1553708, 1553710?\n\"Answer: 2*a + 1553700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + 5*1*sqrt(209) + sqrt(209) + sqrt(209) + sqrt(209))\/(sqrt(44)\/sqrt(36)) - (-1 + (sqrt(228) + 4*sqrt(228)*2)\/sqrt(12)).\nAnswer: 1 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3900) - (sqrt(3900) + -1*sqrt(3900)))\/(sqrt(48) + -2*sqrt(48)) + 3)*-4.\nAnswer: -12 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57ac2c (base 16) in base 11?\nAnswer: 3274921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/8 - 234\/(-208). Let r = -81 - -79. Which is the nearest to 5? (a) r (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721, -517, -313?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 111. Let j = 2149092.52900035 + -2149148.529. Let s = v - j. What is s rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 142\/6 + (-1)\/(-3). Suppose 175 = 7*g + 2345. Let b = g - -318. What is the greatest common divisor of b and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30322, -39371, -48420, -57469?\n\"Answer: -9049*m - 21273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0.711\nAnswer: 8.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(117))*5 - (-1*sqrt(117)*-5 - sqrt(117) - (sqrt(117) + 0 + sqrt(117) + -1)))**2.\nAnswer: 432*sqrt(13) + 7569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + x - 18, -t - 2*x - 215 - 221 + 417 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 8}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 18449297639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 39 - 105. Let r = y - 48. Let z(h) = 2*h + 3*h - h + r*h. Let f(c) = 3*c**2. What is f(z(p))?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1307*t + 1403*t + 2458*t in the form y*t + v and give y.\nAnswer: 5168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cba when three letters picked without replacement from {a: 2, h: 2, c: 1, b: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2928 and 4080?\nAnswer: 248880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5320 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19219\/3820 + -18\/955. Find the common denominator of y and ((-220)\/(-154))\/((-48)\/(-238)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 21*y - 103. Let s be i(5). Solve 0 = -6*d + 8*d - 3*l, s*l = 4*d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1414, -1400, -1386, -1372?\n\"Answer: 14*m - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/4 - (-1)\/(-4). Suppose -3*g = -2*g + 2. Let k be (-65999998)\/(-5) - g\/u. What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*3)\/(2\/(-6)*-3). Let d = 23 + -68\/3. What is the nearest to -0.7 in v, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16645598 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**4*s + 5*r**3*s + 18*r**2*s**3 + 4*r*s + 185*s**3 wrt r?\nAnswer: -60*r**2*s + 30*r*s + 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o**2 + 27*o**3 - o**2 + 20*o**5 + 15*o**5 + 6*o - 32*o**5 - 15*o**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/144 + 46\/12. Solve 29*z = t*z - 150 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3108)\/29008 - 201\/1260.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/3904 and -91\/976?\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -96963 less than or equal to -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 4 + 1 + 2. Is m(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7604 = -1828*x + 1811*x - 7407. Is x less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*l + 214 = 4*x - 1184*l, 5*x + 3*l = 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) 0.5 (b) -9 (c) -0.5 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 8, -4, 195.1, -3?\nAnswer: 195.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)*i**(-2\/9)*i assuming i is positive.\nAnswer: i**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170*s - 7949 + 7949)*(-4*s + 4*s - 3*s) - 4*s**2 + 0*s**2 + 5*s**2.\nAnswer: -509*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 174 = -25*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688462 (base 12) in base 7?\nAnswer: 20136404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 5. Suppose 13*r - 16*r = 3*q - 6, 3*r = q - 6. Sort j, 2, q in increasing order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 12 - 0. Suppose k*z - 105 = -z. What is the highest common divisor of 42 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:11 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14950 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 8\/3, 0.028, -5, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 + 194.01. Let w = 0.01 - i. Let l = w - -4.2. Which is the nearest to 0.1? (a) -5 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -7*t - 13 + 35, b = 83*t - 88*t - 2*b + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/((-4)\/32*6). Let a = t + -8. Suppose 0 = 2*s - 6 - 2. Calculate the smallest common multiple of s and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 + 248. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1149 or -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -2. Let x = s + -1. Calculate the lowest common multiple of x and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppyppppyppppyppp. What is prob of picking 1 y and 2 p?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + (4 - -26) + -57)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/60 and -31\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + -2 + 0 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240213 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 11*k. Let n = 8 + 3. Let l be x(n). Let b = l + 13. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110011110110 (base 2) to base 10.\nAnswer: -23798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 6. Let o be v(4). What is the second derivative of y - 10 + o + y**3 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2*n - 12, -5*c - n - 6 - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -338 - -338. Suppose -20*i + 0*i - 100 = p. Put i, 3, 2 in descending order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4 + 14. Let y be (-52)\/8 + (-1)\/d. What is the units digit of (-8)\/6*9\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + g + 4*g = -95, -264*j + g = -585*j + 316*j + 65 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893009611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*b - 406 = 0, 168 = 4*w + 5*b - 600. Let v be (93*6\/(-27))\/(1\/(-3)). Let y = w - v. What is the greatest common divisor of 90 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.932773km in millimeters?\nAnswer: 1932773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h + 212*h**2 + 0 - 41\/12*h**4 + 0*h**6 + 0*h**3 + 1\/12*h**5 + 1\/105*h**7. What is the second derivative of c(b) wrt b?\nAnswer: 24*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 1. Let c be q(-3). Let m be (1 + c)*1 + 3. Let z(d) = 3*d**m + 268 - 268. Let x(p) = -6*p. What is x(z(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1795 + 1785. Let y be (2 - 4) + 8 + -36. Let b = y + 20. Is f <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {y: 1, h: 1, p: 2, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 - 669*n - 12*n**2 + 16*n**2 + 669*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2481041.8 and -1.\nAnswer: -2481042.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, z: 2}. Give prob of picking 1 z and 1 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15550633 or 15550631?\nAnswer: 15550633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1159965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10818590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 85770?\nAnswer: 1200780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 - 449\/3. Let j = 0.02 + -3.02. Let k = -45 + 45.5. Which is the second smallest value? (a) v (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705553 to the power of 1\/2, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 442, 0 in increasing order.\nAnswer: -24, 0, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26566*t**4 + 11*t**3 - 2*t**2 - 8689395*t?\nAnswer: -318792*t**2 + 66*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 202*l + 320. Let g be t(52). Solve 6 = -3*c + q, -2*q = -4*c - 6*q + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3404558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 205*a**2. Let f(h) = -2288*h**2. Determine d(f(i)).\nAnswer: 1073163520*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.135 * 36\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 252 + 2*g**2 - 1429 - 14*g + 96*g - 2*g**2 = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -5*d**4\/4 - 3*d**2\/2 - 3. Let q(o) = -o**3 + 2*o**2 + 3. Let m be q(0). Let n(p) = 6*p**3 + 4*p. Calculate m*n(g) + 4*h(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, 89, 255, 489, 791, 1161?\n\"Answer: 34*i**2 - 4*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143718235 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 348 = -3*x, 2*x = v - 0*x + 174. Let u be v\/(-12) + (-1)\/(-2). Solve 0*i = 3*i - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v - 20. Let j(h) = -22*h**2. Give j(d(y)).\nAnswer: -1782*y**2 + 7920*y - 8800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3001939 is divided by 104.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118682042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i**4 + 20*i**4 + 11*i**4 + 0*i**4 - 4*i**4 + 3*i**4 + (6*i**2 - 2*i**2 - 2*i**2)*(1 - 2*i**2 - 1) + i - i + 3*i**4.\nAnswer: 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let r(f) = 77317 - 4735*f - 77317. Give r(b(p)).\nAnswer: 4735*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 39595.28 nanoseconds?\nAnswer: 39.59528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -5*w**3\/6 + 5*w**2\/2 + w. Let z(t) = -14*t + 14. Let f(k) = 11*y(k) - 4*z(k). Calculate f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3662938043 to the nearest integer?\nAnswer: 60522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179561\/42 - -4272. Let n = s - -17\/6. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -24, 56?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(3 - 10\/4) - -8. Suppose -4*z - y*z = 5*z. Let p = 295 - 1777\/6. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229 divided by -6?\nAnswer: 1229\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231 - -236. Let k(a) = -a**2 + 7*a - 5. Calculate k(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 16 = 0. Suppose -z*f + f = -9. Suppose -f*r + r = -62. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, v: 3}. What is prob of sequence vz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 0*v + v**2 + (4*v + v - 3*v)*(4*v - v - 2*v) + 3*v**2 - 5*v + 5*v + (-2 - v**2 + 2)*(175 - 306 + 184) to the form c + s*v**2 + p*v and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b - 5*s - 9 = 0, -3*b - 3*s + 9 = 0. Suppose -b*x + 3 = -21. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -113, -4, 17.2, -3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-7) - (-40)\/(-14)) + 36\/12. Solve -31*p - 128 - 27 = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/9 - 74332*a**3\/9 - 115121684*a**2\/3 - 38365636*a.\nAnswer: -4*a*(a + 1)*(a + 9291)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(17\/(-4))*(-6)\/(-8). Solve -3*z + y = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + (1 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, -3*q + 8*q = -5*y + 5. Let i be ((-5)\/2 - -1) + (-11)\/(-22). Put y, -3, i, 11 in decreasing order.\nAnswer: 11, y, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*((4*i + 10*i - 3*i)*(2 - 5 + 5) - i - 2 + 2) to the form x*i + o and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 10 = -2*i, 5*v - 38*i + 25 = -34*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 15. Let q be 4\/(8\/6) + x. Solve q = r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584)*-2)\/(sqrt(64)\/sqrt(2)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzmm when four letters picked without replacement from {m: 9, z: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51644635279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3026*r**3 + r**2 + 614*r + 1229. What are the prime factors of f(-2)?\nAnswer: 3, 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2 + 8*j - 2 - 4*j**2 + j**2. Let r(z) = -z**2 - 1. Let h(c) = -g(c) + 2*r(c). Let k be h(8). Solve 0*p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363\/(-231)*(-12)\/22.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10569944 and 15099920.\nAnswer: 105699440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.036 + 0.336. Let i = 11.904 - 0.204. Let w = i + -2.7. What is the second smallest value in -2\/5, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*m + 11. Let k(h) = -25*h + 43. Is k(m) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 4 + 4*m - 7*m.\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4629 + 4631. What is the remainder when 187 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 2*x**2)*(-2*x**2 + 4*x - 4*x - 5 - x).\nAnswer: 2*x**4 + x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/33)\/(10\/110)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223332 - 4?\nAnswer: 223323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3119 divided by 44\nAnswer: -3119\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 737 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 17 = 63. Suppose 0*m - 5 = 3*a - m, -4*m + k = a. Let y(i) = i**2 + 69. Does 23 divide y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 14*w + 23. Calculate s(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1754818*i**2 + 17*i + 44588469 wrt i?\nAnswer: -3509636*i + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1140*q + 1465 - 1465 - 62*q.\nAnswer: 1078*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -4\/7, 0.1, 5, 2, 8, -97.\nAnswer: -97, -4\/7, 0.1, 0.14, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 13 = 3*r, -u + 5*r - 21 - 3 = 0. Let f be (-102)\/(-12) - u\/(-2). Solve 5*b + f = -11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4860 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289456 at most as big as -1289461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 790.3 and -3.8.\nAnswer: -3003.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984850816, 984850823, 984850834, 984850849, 984850868?\nAnswer: 984850891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 17 - 12)*((l - 2 + 2)*(1 + 5 - 4) - 3*l + l + l + (2 - 1 + 2)*(-l + 1 - 1)) as m*l + h and give m.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/378 - ((-38)\/(-84) - 22\/77)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11646 + -11344.24. Let w = r + -302. Let f = -1.2 + 0.2. Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4034223 + 0?\nAnswer: 4034223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 56, -26, -21, 0, -5\/2, 1\/5, 0.1?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 573.\nAnswer: 5\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 181128211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 73*u**3 - 34*u + 564. What is the first derivative of p(t) wrt t?\nAnswer: 438*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 40 = -3*b. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 30*i**3 - 3*i**2 - i + 8. Let s be o(3). Suppose 3*v - r - s - 383 = 0, 2*r = -2*v + 786. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-6)\/134)*6. Is (3\/2)\/((-9)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 + 7*b**3\/2 - 37*b**2\/2 - 175*b\/2 + 294.\nAnswer: (b - 4)*(b - 3)*(b + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1165 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -14 in descending order.\nAnswer: 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 329. Which is the third biggest value? (a) 91 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 107\/(-7) + (-4)\/(-14). Let t be ((-2)\/2 - -3)\/1. What is the units digit of ((-20)\/c)\/(t\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 13*q**2 - 13*q - 11. Let j be h(-12). Solve 0 = f + 2*f - 2*m - 7, 0 = -f + m + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 486742689*t**4 - 2*t**2 + 4*t - 973975 wrt t.\nAnswer: 11681824536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/(-28)*(-4)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11979 = -25982*z + 25979*z. What is the smallest common multiple of 3630 and z?\nAnswer: 39930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/35)*(m*m*m**(2\/13)\/m)\/m*m)\/(m**(1\/8)*(m\/m**(3\/4))\/m*m) assuming m is positive.\nAnswer: m**(6267\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 + 1746 = 29*x. Calculate the highest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 14459*x**2 - 20948739*x - 8018693001.\nAnswer: -(x + 789)**2*(x + 12881)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-6)\/(-36)). Solve -4*n - 13 = -4*p + 3, -2*p + n = -o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 15*v**2 + 385 - 385 + 5*v**3 = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1035 and 3335?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -23532683419.\nAnswer: -23532683419.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -133525.\nAnswer: -1\/133525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 3*p + 16. Let l be i(-7). Let w be l\/(-9) + 12\/18. Solve -w*g + 15 = -7*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/(2\/905). Let u be x\/(-9) + 6\/(-27). Let m be (12\/10)\/(16\/u). Which is bigger: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/30)\/(4\/(-24)*3). Which is bigger: w or -24?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 2. Let o be r(2). Let u = -5 + 14. Let i = u + o. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2378.\nAnswer: 19024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.93175 centuries to decades.\nAnswer: 679.3175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 2, v: 10, x: 3, l: 1}. Give prob of picking 3 x.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 60\/109 (b) 3\/2 (c) -32 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9096.068l to millilitres.\nAnswer: 9096068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 652296*d - 265931294760.\nAnswer: -2*(d - 815370)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0292 + -127.22636?\nAnswer: -127.25556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 21783. Let t(i) = -3586*i. Calculate t(s(w)).\nAnswer: -10758*w**2 + 78113838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.68, 1, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330 - 318. Solve 3*b = 3*p + z, -2*b = -4*p - 3 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 3*a**2 - 3. Give n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 130\/(-13) - (0 + -13). Sort 4, -4, a, -10 in descending order.\nAnswer: 4, a, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1489 - -1525) + (0 - -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/(-9) + 3666\/(-846) and (-133)\/(-54) - (-1 - -2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95\/3 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/159985 and -87\/45710?\nAnswer: 319970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/24 - a**3\/3 - a**2. Let t(v) = 4*v + 39. Let w be t(13). Let n = 88 - w. What is s(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 3*b + 3. Let c = 22 - 18. Let p(y) = y**3 + 2*y**2 - y + 1. Let m be p(-2). Let t(k) = -3*k**2 - 4*k - 4. What is c*r(n) + m*t(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 427, 625, 825?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 15 - a**2 + 19 + 4 - 58 + 18 - a. Let h = 15 - 8. Suppose h + 1 = -4*v. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 44853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -2. Suppose 83*y = 90*y + 14. Let o be (18 - 16)*y\/4. Which is the nearest to 0.1? (a) p (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y**2 + 7*y - 2. Let r(a) = 9*a - 1004 - 4*a - 9*a**2 + 1003. Calculate -5*c(l) + 7*r(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6158 + 6156. Let p be -2 + 9\/(2430\/536). What is the second smallest value in x, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3875 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -o - 3*o + 40, -5 = 2*o - 3*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-7) - (1 - (-30)\/(-42))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -83.16.\nAnswer: 1912.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - (-181)\/(-3). Let h be (-2)\/7 + 292\/(-7). Let f = h - c. Calculate the remainder when 52 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 6*(-3 - -1). Suppose 0 = 33*d - 48*d + 90. Let o(q) = -2*q**3 + 12*q**2 + 9*q - 41. Let s be o(d). Solve 0 = 5*u + s + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*k + 327. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 2*t**2 - 4*t - 4. Let o be a(-3). Calculate the highest common divisor of o and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/(323\/(-19)) + 20\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/(-2480))\/((-1)\/(-6))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572117433.\nAnswer: 1572117433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7099 + 8422. Calculate the lowest common multiple of w and 945.\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 1572*t + 102298. What is v(-121)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/52375 and -31\/209550.\nAnswer: 439007250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13820257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12867361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3 - 2 = 0. Let i be (72\/30)\/(g\/(-5)). Solve -6*m = -2*m - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*c - 6149 = 400*c - 242*c + 23083 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/2)\/((-290)\/2320)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81861986 and 1142?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:56 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1 + -6.7. Let c = z + 0.034. Let y = -0.212 + c. Round y to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {x: 7, t: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/11 - (-118524)\/5478 - 2175\/99?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*p = 64*p + 8267 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -18. Let r be h\/(-3)*(7 - -2). Let g(i) = -5*i - 5. Let u be g(-2). Solve -4 - 8 = -y + u*b, 4*b = 2*y - r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*p - 2*v - 238, -3*v - 207 = -3*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {f: 2, p: 2, i: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 778\/4 + (-51)\/34. Let o = 196 - r. Solve 2*c - 20 = -o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*z = -15, -3*d = -4*z + 3*z + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t**2 - 22 + 4 + 2*t**3 - 23 + 3*t - 48*t**2 + 0. Calculate r(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -30?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -19.5. Let i(r) = 10*r**2. Let o be i(-1). Suppose -2*s - 3*s + o = 0. What is the third smallest value in 0.3, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3 - 3\/(-2)). Solve -s + 9 = -a, 5*s - 20 = g*a + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17636 - 17635.69999. Let u = -0.3 + j. Round u to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 436\/3 - 5674\/39. Let h = 0.03 - -0.37. Let l = 108 + -119. Put o, h, l in decreasing order.\nAnswer: h, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 1. Let z(s) = -5*s**3 + 4*s**2 + 1 + 3*s - s**3 - s**2 + 3 - 3*s**3. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -20. Let i = 0 + p. Suppose i*h = -2*h. Solve h = f + 5*w - 18, -4*f - 2*w = -0*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 32068*z**2\/5 - 576576*z\/5.\nAnswer: -2*z*(z - 16016)*(z - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3065 or 1?\nAnswer: 2\/3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-6 + (-2 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*d = -4, -3*z - 4*d = -8 - 0. Suppose -363*w + 84 = -342*w. Solve -5*a - s = w, a + a + 2*s = -z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/4 - 3*p**5\/20 - p**4\/8 - 9*p**3\/2 - 250*p**2. What is the second derivative of j(q) wrt q?\nAnswer: 180*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 27*u**2 + 27*u + 70. Let r be t(-28). Let m(v) = 99*v + 1 - r*v - 1. Let h(a) = 3*a. What is -h(w) + 6*m(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4 and 21\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2324 and 1660.\nAnswer: 11620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656.084 millilitres in litres?\nAnswer: 2.656084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6\/5, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n)*(20 + 3 - 2) - 4*n + 4*n - 5*n.\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235457140?\nAnswer: 2, 5, 17, 692521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -472, -1019, -1772, -2725, -3872, -5207?\nAnswer: -6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441 - 141.17418.\nAnswer: -582.17418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161269 or 157053?\nAnswer: 157053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/7)\/m*m*m)**(1\/57))**47)**31 assuming m is positive.\nAnswer: m**(5828\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 544667254 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503 + 5*j - 5*j - 4*j**2 - 394.\nAnswer: -4*j**2 - 897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g - 64 + 3*g + 83 - 23. Let s(a) = 3*a + 5. Let t be (1\/(-2))\/(1\/2). Let y be ((-10)\/(-2)*t)\/1. Determine y*m(o) - 4*s(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3911\/11486086 + -1\/3566. Let c = 2200267\/9049 - 46515367027\/174880974. Let n = c + m. Find the common denominator of n and 53\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8 - 2*u + 2 + 0. Let m(j) = j**2 + 15*j + 42. Let h be m(-4). What is the units digit of k(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/24*63)\/(16\/(-8))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*t - 12 = 0, -5*t = -l - l + 20. Suppose 6 + 3 = b + g, -2*b + 4*g - 12 = l. Factor 5*c**3 - 2*c**3 - 4*c**3 + 9*c**3 + 4*c**b.\nAnswer: 4*c**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -34. Solve z = -0*l - l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.36018714412 - 747.\nAnswer: -742.63981285588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6296.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122011 + -12?\nAnswer: -1122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4822 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49582, -99181, -148780, -198379, -247978, -297577?\n\"Answer: -49599*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 213?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-3)*(-6)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*n + 22 = y, 5*n = -3*y + 20. Suppose 2 = -2*v - 2*d, -5*v + 4*d + 11 = y*d. Calculate the remainder when 11 is divided by (-6)\/5*(-10)\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 2839. Let k(b) = -7*b. Calculate l(k(n)).\nAnswer: 98*n**2 + 2839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by 17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 69 = -d, -189*d + 125*o + 127*o - 704 = 256*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5013, -19720, -44235, -78558, -122689, -176628, -240375?\n\"Answer: -4904*h**2 + 5*h - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14\/9))**(-1\/8)*(q\/(q*q**(7\/2)*q*q))**(-8\/5) assuming q is positive.\nAnswer: q**(1619\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 411898864 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:35 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 25. Which is the third biggest value? (a) 3 (b) v (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 75 - 904 = 5*a, 5*o - 1040 = 5*a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:44 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*j - 2*j, 0 = 3*t + 4*j + 3. Let x = 14\/5 + -12\/5. Which is the third smallest value? (a) 4 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133367 by -15.\nAnswer: 133367\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 272240173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 22*k - 32. Calculate g(25).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32*29\/(-116))\/(136\/4)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -5*y + 2*j - 8, -90 = 5*y - j. Let l(d) = -d**3 - 19*d**2 - 38*d - 42. What is l(y)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 781518680 by -1517512.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98, 264, 496, 794, 1158, 1588, 2084?\n\"Answer: 33*u**2 + 67*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 2026 (b) -3 (c) -2\/27 (d) 1\/7 (e) -2\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175220 is divided by 1116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 17*u + 44. Let o be t(14). Which is the smallest value? (a) o (b) -0.3 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 26. Let l = b + -7. Solve -3*v + l - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*t + 3561 + 7113 = 1287 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 83029, 56.\nAnswer: -4, -1, 56, 83029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 4202442.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 2. Let w be m(-6). Solve -b - w*b - 23 = 2*l, 3*b = -l - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 244 + -194. Suppose -u*w + 47*w - 638400 = 0. Round w to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -0.2, 1\/4, -0.4, -18 in increasing order.\nAnswer: -18, -3, -0.4, -0.2, 1\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -208, -309?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82103 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*h - 5*t, 0*h + 4*t - 32 = -8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:51 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 31 = -116. Let g = -19 - -17. Let y = 1 - g. Sort 14, c, y in increasing order.\nAnswer: y, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.30727 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 - -43. Let t = -159 - f. Let l be 2\/(-13) + 186\/195. What is the fourth smallest value in t, -0.3, -1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -168 - 56e?\nAnswer: -6d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9140 divided by -47.\nAnswer: -9140\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1467809 - -5?\nAnswer: -1467804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18374 - -18968. Solve 13*b = 516 - c for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a minute in seconds?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4063 + 90156 = 3*n - 6331. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*r = 3*r + 3, 0 = -4*b - r + 3. Suppose 3*w = -5*l + 32 - 10, l = -4*w + b. Is 29 a factor of (203\/28)\/((l\/4)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -1, 578, 1733, 3656?\nAnswer: 6539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - (sqrt(2880) + (2*sqrt(2880) - sqrt(2880))*-5 + sqrt(2880)))*3)\/(sqrt(64)*3 - (sqrt(4) - 3*sqrt(36))) + 4.\nAnswer: 4 + 36*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 - 7*n**3 - 5825*n**4 + 5826*n**4 - 8*n**2 - 12*n**2 to v*n + s*n**4 + k + q*n**2 + l*n**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*i - 2*i - 2*s, 20 = 4*s. Put -5, -7, i in decreasing order.\nAnswer: i, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 5*r - 1. Let p(z) = -21*z**2 + 25*z + 4. Let h(y) = 11*k(y) + 2*p(y). What is the units digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8103 and -1832399?\nAnswer: 1824296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15524 by -4.\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(9\/4))\/(q\/q**20*q*q*q)*q**9\/(q\/(q**(2\/13)*q*q)))**3 assuming q is positive.\nAnswer: q**(4587\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153872 and 5881120.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-66460)\/(-26) + (-13756)\/(-494) + -28 is divided by 1263?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/12 + 4\/(-6). Let k(r) = -r + 2. Let t be k(0). Suppose -3*b - 25 - 2 = -t*g, -b = g - 6. Solve -11 = -5*f + z*f - 2*j, 0 = 4*f + j - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 419\/4164 + -6\/347. What is the second biggest value in 2\/13, o, -1.421?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 61.7. Is -2\/7 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2600 and -79\/598.\nAnswer: 59800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.48 - 2. Let p = h + 0.02. Let g = -10 - -9. What is the closest to 0 in g, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + -633?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 4. Suppose -6*k + k + 15 = 0. Suppose k*z = 2*z. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 13. Calculate the remainder when z is divided by 43\/4 - (-2)\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfoqfoqq. Give prob of sequence oq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1143 divided by 10.\nAnswer: -1143\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u, -c - 3*c + 3*u = -6. Suppose -8*w = 2*w - 60. Solve c = 2*v - w*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 483 + -12?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24*h**2 - 11*h + 12. List the prime factors of a(3).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -66787439 and -66787439 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -24*(474\/9 + -12). Is -974 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5810, 11682, 17566, 23462, 29370?\nAnswer: 35290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 24*h**3 + 18*h**2 + 3*h + 6. Let c(p) = -2*p**3 - 2*p**2 + 2*p - 3. Calculate 2*c(o) + l(o).\nAnswer: 20*o**3 + 14*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/33 - 46\/(-11). Let z = w - -2. Let r(c) = 11*c + 14. Let b(i) = -4*i - 5. Let k(t) = 4*t + 5. Let s(l) = -4*b(l) - 5*k(l). Give z*r(q) + 17*s(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11*u + 6 = -10*u, 0 = -f + 5*u - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 14*d + 18. Let c = -7 + -9. What is the remainder when i(c) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7214\/(-4))\/(16\/(-32)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 8. Let o = k - -6. What is the common denominator of 1\/o + (-97)\/20 and 36\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000091617 rounded to 7 dps?\nAnswer: -0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2985.4 or -360?\nAnswer: 2985.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*l + p, 5*l + p - 3*p - 7 = 0. Suppose 3*s = -5*u + 12, l*s - 4*u - 21 = -6*u. What is the remainder when 16 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/7)*g\/(g\/g**16*g) assuming g is positive.\nAnswer: g**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -26*g**2 + 14. Let s(t) = -t + t + 1 - 9*t**2 + 4. Calculate -6*a(z) + 17*s(z).\nAnswer: 3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzyqzzyq. What is prob of sequence qz?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*b*c**3*i - b*c**3 + b*c**2 - 39*c**2*i + 3*i wrt c.\nAnswer: 978*b*i - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 24*c - 92. Let q be k(19). Solve d - 6 = q*v, 5*v - 5*d = -15 - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 2. Let t be (1\/2)\/(-2 + x). Which is the third smallest value? (a) 1\/5 (b) -14 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2129, 4252, 6379, 8510?\n\"Answer: 2*k**2 + 2117*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 81 - 39. Let s be 18\/u*15\/(-6). Solve a - 4 = -s*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 14. Let o = 2942\/15 - 196. Put i, 5, o in decreasing order.\nAnswer: 5, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*4*-5*((sqrt(405) + -6*(sqrt(405) + 0))*6)**2*-2.\nAnswer: 174960000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3613010672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b**2 + 3)*(b**3 - 176438 + 176438 + 15*b) + 15*b + 25*b**5 + 11*b - 27*b.\nAnswer: 23*b**5 - 30*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4 - 13175*m**3 + 114*m**2 + 9*m wrt m?\nAnswer: -24*m - 79050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {z: 4, c: 1, v: 7, y: 6, i: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*b + 4*g, 13 = -b + 4*g - 8*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4)*s*s*s)\/((s\/s**4)\/s))\/((s**(3\/2)\/s)\/s**(-5\/4))*((s**(-1))**(-2\/15))**(23\/4) assuming s is positive.\nAnswer: s**(203\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592 and 2384?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.9 + 236.9. Let b = 192.07 - r. What is b rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, w: 7}. Give prob of sequence wwwn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -4*b**5\/15 - b**4\/4 + b**3\/9 - 31. Factor m(h).\nAnswer: -h**2*(h + 1)*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**4 + 2*p**3 + p**2 - p + 1. Let i(g) = 15*g**4 + 4*g**3 - 32*g**2 - 2*g + 1575. Let x(y) = 2*h(y) - i(y). Differentiate x(z) with respect to z.\nAnswer: -68*z**3 + 68*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548592607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -53 * -1540959\nAnswer: 81670827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6514*d - 84290. What is s(13)?\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-3 - (6 - (9 - -2))) - -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 a factor of 51714234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-528)*12*2*-64.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 6*p - 3. Let j(m) = m**2 + 7*m + 8. Let g be j(-6). Suppose 0 = 2*l + g*l + 8. What is the units digit of b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 35*u + 70. Calculate t(5).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from pmqqpqpdmqpppm?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*c + 1121 = 2015 + 2161 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 5*l**2 + 0*l**2 + 2*l**2 - 1. Let h(j) be the first derivative of -j**3\/3 + j - 8. Let i(w) = b(w) - 2*h(w). Factor i(s).\nAnswer: -(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.320132 decades?\nAnswer: 83.20132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a + 125. Let s be m(14). Is 59 a factor of 18\/(-90) + (-13563)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 + 4*r - 4. Let a(i) = -6*i**2 - 5*i + 4. Let b(h) = -4*a(h) - 5*u(h). Let k be b(0). List the prime factors of -1*k*(-1 + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(0 - (-1 + 0)). Suppose 0 = -g*j + 9 + 19. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -462 - -981. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13394515 is divided by 10186.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*b = -46, 7*s + 113 = 2*s - 4*b. Let n be 4\/14 + 5 + (-351)\/s. Find the third derivative of -n*a**4 - 26*a**2 + 3*a**4 - a**4 + 8*a**2 wrt a.\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 96, -0.2, 1.92, -10, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t**3 + t**2 - 172*t + 896. Give v(5).\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -176*t**4 + 2*t - 3075.\nAnswer: -704*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6448376949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 7*n**2 - 627*n - 5973. Give b(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -87*j - 14*j**4 - 5*j**5 - 8\/15*j**6 - 6*j**3 + 0 + 0*j**2. Factor w(z).\nAnswer: -4*z*(z + 3)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:51 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42816037\/42 + 1019342. Let z = -457\/7 - m. Calculate the common denominator of z and 59\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11791.988384 - 11792. Round f to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/7 (c) 128 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 + 5*x - 12. Let n(y) = 5*y**2 - 4*y + 11. Let o(c) = 5*n(c) + 4*q(c). Differentiate o(g) with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 + 2*z + 9. Let k be i(-4). Suppose 82*d - k*d = 134. List the prime factors of d.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -343. Let h(c) = c**2 - 25*c - 82. Let d be ((-4)\/2)\/(2\/(-29)). Let n be h(d). Calculate the greatest common divisor of g and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2113 divided by 27\nAnswer: 2113\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78816 - -34816. Round d to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/348 and -65\/192?\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4349664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3364544239.\nAnswer: 7, 17, 28273481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -593, -889?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2971 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000324 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -1520\nAnswer: -17\/1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433856248 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205080 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62869 - -9?\nAnswer: 62878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275484636.\nAnswer: 2, 17, 433, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784 and 4372564.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1042*p - 394*p - 134*p as d + z*p and give z.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -35. Find the first derivative of 5*m**2 + 9*m**2 + x + 6 - 3*m**2 wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 521 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20759244 and 2805.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.8. Let x = -2\/6731 - -20203\/33655. Which is the second biggest value? (a) -0.1 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*z - 2*z - 4 = 0, -4 = -2*i + 3*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*p**6 - 19*p**2.\nAnswer: -1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 7047 - 621 = 0. What are the prime factors of k?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9717, 19434, 29151, 38868, 48585, 58302?\n\"Answer: 9717*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + 4*t + 56, 5*k - 3*t = 258. Suppose -14*o = -11*o - k. Let v(s) = 33*s**2 - o*s**2 - 17*s**2. Let q(x) = -64*x. What is q(v(a))?\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/30975 and -47\/11.\nAnswer: 340725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -226 - -401?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let j be 6*-1*s\/12. Are j and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 85, -1 in ascending order.\nAnswer: -1, 4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1449 = 19*w - 10*w. Calculate the remainder when w is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 61, 110, 199, 340, 545?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -87873 less than -87869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5442*m + 155617 = -3421*m for m.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*i - 9*i - 8*i - 53*i - 11*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.2272806707 + -0.3.\nAnswer: 34.9272806707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1\/9 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11959526.87 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 291499*s\/4 + 3789825\/4.\nAnswer: -(s - 13)*(2*s + 291525)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 + 103*l. Let g be q(34). Suppose -g*c - 5227 = -35*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 1054. Let w(l) = -29*l**2. Give b(w(g)).\nAnswer: 841*g**4 - 1054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/w**(2\/7)*w))**(-1\/13)\/(w*w**(-2\/7))**(1\/33) assuming w is positive.\nAnswer: w**(562\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1836537 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 9, 0.171, 3 in decreasing order.\nAnswer: 9, 3, 0.3, 0.171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -194, -199, -206, -215, -226?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let m be 20\/6 + h\/(-6). Suppose -q - 7*l = -m*l - 8, 4*q = 5*l + 95. Calculate the lowest common multiple of 22 and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1813, 2820, 4491, 6820, 9801, 13428, 17695?\nAnswer: 22596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 bigger than 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -11*f**4\/12 - 79*f**3\/6 + f**2 - 30. Find the first derivative of t(h) wrt h.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 717 + -717.000000509. What is h rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38467656)\/(-324)*(-1)\/((-6)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -442*g + 11. Let l(c) = -295*c + 7. Give -8*l(u) + 5*x(u).\nAnswer: 150*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4556 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 53*i**2 + 6*i. Let f(x) = -2*x**3 + 52*x**2 - 5*x. Give 5*f(m) + 4*h(m).\nAnswer: -30*m**3 + 48*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 546*g - 286*g - 56 - 296*g. What is the units digit of u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -5, -0.0782, -1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2637605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 9:35 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 16*z**2 + 3*z - 9. Let s be o(8). Solve 3 = 4*v + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n + 36. Let u = -4252 + 4253. What is the smallest common multiple of n and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 10:28 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*r - 59, 4*r - 108 = a + a. Let l be (2\/2 - (-1072)\/(-16))\/(-2). Suppose l = 4*s + x, -r = -5*s - 2*x + 14. Solve 0 = -5*m - 4 + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2250000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 337\/3 + -111. Let k = -3694\/13 - -284. What is the second biggest value in 2\/15, b, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/5 (b) 1\/3 (c) -1.6 (d) -0.1 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = 79. Calculate the remainder when f is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 62350?\nAnswer: 62353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -2*q**2 + 0*q - 75 - 81\/5*q**5 - 4*q**3 - 1\/6*q**6 + 0*q**4. Find the third derivative of o(f) wrt f.\nAnswer: -60*f**2 - 1944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 - 5*t**3\/2 - 9*t**2 + 64*t - 80.\nAnswer: (t - 4)**2*(t - 2)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h - 3. Let n(m) = -5*m + 1. Let p(a) = -8*n(a) - 3*z(a). Suppose 2 = 2*j - 4. Give p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6357 + 6352. Which is the biggest value? (a) 0.5 (b) 3\/5 (c) f (d) 99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let n = -100 + 110. What is the lowest common multiple of t and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14833 (base 10) to base 7\nAnswer: -61150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4 - 7*z**2 + z**2 - 2 + 7*z. Let b be w(5). Calculate the common denominator of (1\/(-30))\/(b\/(-330)) and -13\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -259, -258, -257, -256, -255?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (40 - (5 + -15 + 43)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttittttttttttti. Give prob of sequence tt.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -5*c + 5*p + 35, 0 = -4*c - 3563*p + 3560*p - 41 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1)\/(5*3\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4601 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.2 + -2.5. Let z = -16 - f. Let o be -1 + 1 + (-4)\/(-14). Sort 0.2, z, o in ascending order.\nAnswer: z, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 5 = -2*p. Let v(w) = 2*w**2 + w + 1. Let j be v(p). Solve 3*r - j = 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*b**2 + 11*b**2 + 18*b**2)*(18 - 19 - 6*b - 2*b).\nAnswer: -16*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(245) - sqrt(245)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 7*i + 2. Let t be s(-6). Sort t, -3, -1 in descending order.\nAnswer: -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400478 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 + 235 = 0. Let p = w - 45. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 310155.1.\nAnswer: -310154.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03238070005 to six decimal places.\nAnswer: 0.032381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53688866*k**3*t**2 + 13*k**3*t + 25*k**3 - 1774*k**2*t wrt t?\nAnswer: 107377732*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-18 + 0 + 4 + 25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1437 in 2, 1, 1\/6, -2\/11, 0.054?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 3987161. Let m(s) = s. What is m(p(d))?\nAnswer: d + 3987161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from ihhhbbxibkhhhbhiwhix.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -179259.8 to the nearest 1000.\nAnswer: -179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*u - 4*y = 85*u - 19, -4*u + 2*y = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11568 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/18)\/(2\/(-52)). Let h = f + -9. Suppose b + h*b = -2*x + 30, 5*x = 2*b + 17. Solve -3*g + 7 = z, 0*g = x*g + 2*z - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, 36\/5, 1206?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 11:48 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 5*t + 32. Let q(r) = -r**2 - 2*r - 11. Let g(j) = 6*i(j) + 17*q(j). Let b(c) = -3*c**2 + 7*c - 9. Determine 3*b(h) + 5*g(h).\nAnswer: -4*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 15\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 2*o + 2*o)*(-100 + 241 - 47) + 57*o - 26*o - 11*o in the form c + n*o and give n.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 48. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + 1 - (-8 - 14 - -32)) + -33?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 8*m - 3*m)*(4*m**4 + m**4 - 4*m**4).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.114, 3, -2\/27, -1\/2.\nAnswer: -3, -1\/2, -2\/27, 0.114, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-6))\/3 + (8 - 22\/4). Let x(d) be the first derivative of 5\/2*d**2 - 7 - j*d. Calculate x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437731?\nAnswer: 53, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/7 (b) 1.272 (c) 6\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1325*v**5 + 3395*v**4 + 135*v**3 - 3455*v**2 - 1460*v + 60 = 0. Calculate v.\nAnswer: -2, -1, -3\/5, 2\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -354 - -445. List the prime factors of c.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -1201?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 8. Let q be z(0). Suppose 10*w - 20 = 5*w. Suppose -2*m + 19 = 3*m - n, w*n = -m + 8. What is the highest common divisor of q and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x = -558*x + 4212 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgigihgbgagiagbmaa. Give prob of sequence aiim.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380473 is divided by 12682?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*y + 22 = 0, 4*y - 364 + 368 = l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1914*q - 233452. Determine s(-122).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0, -4, 5, -60, -0.3.\nAnswer: -60, -4, -0.3, -0.08, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200121 (base 3) to base 16.\nAnswer: -1f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6557491*f - 5 + 6557507*f + 5 - 19672495*f + 6557496*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = -20. Suppose n*f - 8 = 4*f. Suppose q + f*q - 174 = 0. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 573\/12 + 5\/20. Let v(h) = -h**3 + 15*h**2 + 4*h - 8. Let w be v(15). Let l = w - q. Solve 3*z + 16 = -g, -l*z - 19 = -g - 0*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8597.0652 - 47786\nAnswer: -39188.9348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 218 + 114 + 104.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53522, -53491, -53434, -53345, -53218, -53047, -52826?\n\"Answer: l**3 + 7*l**2 + 3*l - 53533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/6 + y**3\/2 - 23*y**2. Differentiate v(u) with respect to u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t - 5. Let v be i(-4). Let w = 22 - v. Let p = 5 - 8. Sort -2, p, w.\nAnswer: p, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/18)\/x)**(7\/3)*x**20\/x**28)**24 assuming x is positive.\nAnswer: x**(-2204\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) -3\/8 (b) -3 (c) -1\/7 (d) -16\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1456656 and -73\/728328?\nAnswer: 1456656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4\/5, 71, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = 0, 5*b = 32*y - 31*y + 12. Solve o**4 - 52*o**3 - y - 2*o**2 + 3*o + 105*o**3 - 56*o**3 + 9*o = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v + 152 - 194 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5315 - -18771. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11804509 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -513.71 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -33. Suppose 0 = 3*s - p - 8, -4*s - p = t*p. Suppose -6*z + s*z + 84 = 0. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/(-9) - -4) + 7784 - 8?\nAnswer: 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3964 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25521121.\nAnswer: 1049, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 - 308024*a\/3 + 513374\/5.\nAnswer: -2*(a - 1)*(a + 770061)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 153, 2065, 0, 3 in ascending order.\nAnswer: -2, 0, 3, 153, 2065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1580380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 12525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1523, -3037, -4551?\n\"Answer: -1514*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = -s. What is the units digit of 1\/s*3*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y - 36. Let t be x(3). Let k = 0.0114 - 0.0114. Which is the nearest to t? (a) k (b) -8 (c) -1\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let n = -81 - -76. Let d(j) = 2*j - 1. Determine n*u(q) - 5*d(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/120 - d**5\/20 - d**4\/24 + 2*d**3\/3 - 2*d**2. Give o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -14) + 6 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let l(d) = -2*d - 17*d + 4*d**2 + 3*d**2 + 16*d. Calculate l(t(n)).\nAnswer: 7*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 - -3.4. Which is the nearest to -1? (a) s (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/63 and -93\/41594.\nAnswer: 374346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/((-12)\/16). Let d be 107 + t\/(-6 + 5). Let y = 111 - d. Is -8 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001170613467 rounded to six decimal places?\nAnswer: -0.001171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27024956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1101000110111111011011001?\nAnswer: -1101000110111111011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880c0 (base 15) to base 13.\nAnswer: 121938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 571857 and 639375.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8729670 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37746 + -19.\nAnswer: 37727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 679865 - -2?\nAnswer: 679867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307506*k**2 + 615104*k**2 - 307603*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3438349.\nAnswer: 3438349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/9 - 15212*r**3\/9 - 19202444*r**2\/3 + 1855133824*r\/9 - 14872290304\/9.\nAnswer: -(r - 16)**2*(r + 7622)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4773*f + 370. Let m(l) = -77*l - 6. What is -3*b(y) - 185*m(y)?\nAnswer: -74*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/12 and -67\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -449*h*m - 1467*h with respect to m.\nAnswer: -449*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10175323 to the nearest integer?\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -30*j + 29. Let r(w) = 74*w - 57. Let i(a) = 5*k(a) + 2*r(a). Determine i(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.8 - 29. Let k = -1691 - -1696. Let h = j + k. What is h rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -4*z - 8, 538*p = 543*p + 3*z - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/584 and 20\/73.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(75)*4*-3 + sqrt(75) + sqrt(75) + (0 + sqrt(75) - sqrt(75)) + 0 + 5 + sqrt(75) + 0)*6)**2.\nAnswer: 48600*sqrt(3) + 1969200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221110010101 (base 3) in base 14?\nAnswer: 2c9c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 49 = 13*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5*z. Suppose z = 5*i + 3*l - 443 - 3366, 3*i - 2*l - 2293 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 6) to base 2.\nAnswer: -1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171020207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-30))\/(11\/33).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 3*f. Let o be p(-3). Suppose -5*d - 29 = -g, o = -7*d + 2*d - 25. Let u = -7 + g. Sort u, 3, -4 in ascending order.\nAnswer: -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1071442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:18 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2) + (8 - (9 - 4)). Let i(t) = -t**2 - t + 1. Let z(r) = -r**2 - 7*r + 7. Let a(k) = 2*i(k) - z(k). Give a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -780, -598, -154, 654, 1928?\n\"Answer: 17*t**3 + 29*t**2 - 24*t - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*v + 2436 = -334*v - 54 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3434 - 103?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t**2 - 4*t**2 - t**2 + 2*t**2. Let l(v) = -43*v. Determine l(b(u)).\nAnswer: 129*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:36 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440 + 1?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 7296?\nAnswer: 7295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:07 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -18, -30, -46, -66, -90?\n\"Answer: -2*s**2 - 2*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5975*p + 6450*p - 1275*p to the form n*p + s and give n.\nAnswer: 11150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/29, -4, -2\/7, -0.7 in decreasing order.\nAnswer: 1\/29, -0.2, -2\/7, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 0)*(-13*i + i + i) + 6*i - 5*i + 3*i to the form o + w*i and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 408 - 385. What is the remainder when 139 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -0.05. What is s rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/15*(-3)\/(-1). Let u(q) = 7*q**2 - 1. Let o be u(1). Put m, -1, o in increasing order.\nAnswer: -1, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12248 is divided by 532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4208470 by 35.\nAnswer: -120242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h + 1. Let a(q) = -2*q. Let d be a(-4). Let m = d - 7. Let f(i) = -i - 1. Calculate m*c(g) + 3*f(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s - s)*(2 + 2 - 5)*(-1 + 0 - 1).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*r + 168, -4*r = r - 3*b - 280. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176347 + 88176 - 2263*j + 88172 as z*j + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -27257 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/1295 - (-12)\/20. Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -131*j**4\/24 - j**3\/6 - 5*j**2\/2 - 14. Let x(z) be the second derivative of d(z). Is x(-1) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23170*y - 8336*y - 7409*y - y**3 - 8690*y.\nAnswer: -y**3 - 1265*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -314, -94?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 24646, 0, 3, -4 in descending order.\nAnswer: 24646, 3, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -943380203884 and -0.02?\nAnswer: 943380203883.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/210 - 133100\/(-14)) + -1. What is the greatest common divisor of 98 and x?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 2, 77195, 0, -2 in descending order.\nAnswer: 77195, 2, 0, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - -1.5. Let x = 0 - s. Put x, -0.3, 3\/5 in descending order.\nAnswer: 3\/5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 5*z - 60, -4*z - 58 = -5*x. Suppose 0*b + x = 2*b. Suppose -b*n + 24 = -w, -36 + 15 = 4*w - 5*n. What is the biggest value in -4, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*d - 219*d - 3*u = -4, 0 = -3*d + u + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14170 - 14170.1. Which is the nearest to 2\/5? (a) q (b) -5 (c) -13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 4*h + 3*h - 2*h + 3. Let q be y(0). Let -2*n**2 + 6*n**3 - 9*n**3 + 2*n**q = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.02 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78008 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 + 26407502*c - 26407500 = 0 for c.\nAnswer: 1, 13203750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746984*t**2 + 373497*t**2 + 373487*t**2 - 63*t**3 + 57*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 593933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 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: Let q(s) = 329*s. Let l(i) = 4*i**2 - 2854*i - 1. Give q(l(h)).\nAnswer: 1316*h**2 - 938966*h - 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 70*a**2 + 238*a + 234. Let k(l) = 6*l**3 + 280*l**2 + 949*l + 933. Let b(y) = -4*k(y) + 18*t(y). Factor b(c).\nAnswer: 4*(c + 4)*(c + 6)*(3*c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1158023\/3497 + -22\/3497. Let m = l + 331. What is the nearest to -2\/3 in -1\/2, m, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 12) to base 8.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 0*u - u - 3*u + 3*u + 2*u + (3 - 1 - 1)*(-2*u + 4*u - u) - 14 + 14 + 5*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.506930448 + 4?\nAnswer: 3.493069552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*c = -1514958 - 1244743. Is c != 9822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - s**2 - 7*s**2 - s. Determine k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186094080 divided by -646160\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 147732 divided by -52?\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17991233 to the nearest integer?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -1529.\nAnswer: -1223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*y - 70 = 0, -j + 8*y + 30 = 5*y. Suppose 0 = 2*r - 6*r + p + j, -10 = -5*r + 3*p. Solve -w = -2*s + 5, -r*s = 2*w + 2*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121\/45 - 26\/9. Let p = 7 - 10. Which is the nearest to -2? (a) -2\/7 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106935 and 2?\nAnswer: 106933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from akddnnddtnttnk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 415, 412, 409, 406, 403?\n\"Answer: -3*d + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10820470, 21640935, 32461400?\n\"Answer: 10820465*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - -5. Suppose 0 = r - 2, -7*r + 2*r + u = -2*g. Let d = 1 - g. Calculate the greatest common factor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 o when four letters picked without replacement from {h: 1, r: 1, q: 4, a: 4, o: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, -336, -22 in decreasing order.\nAnswer: 4, 1, 0, -22, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -15*g**2 + 31*g - 10. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -549 + 185. Let f = v - -578. What is the remainder when f is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/28 or 659\/4?\nAnswer: -23\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*u**3 + 624*u**3 - 1911*u**3 + 629*u**3.\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -568, -883, -1232, -1627, -2080?\nAnswer: -2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + -59)\/87*(-3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/23, -2\/11, 1.7, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {s: 1, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 418013078 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5\/2, 1\/2, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 947774.1 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.731472 to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.187 - -116.887. Let t = -117 + r. Which is the biggest value? (a) -7 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31443720, 31443721, 31443722, 31443723, 31443724, 31443725?\n\"Answer: o + 31443719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:32 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 20. Let n = 21 + r. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -39*f + 16. Let a be j(8). Let u = a - -499. Find the second derivative of 2*h**3 - 203*h**2 - 8*h + u*h**2 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -126*f - 77. Let t be y(-14). Let z = -822 + t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4839*y - 149810. Give g(31).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*-3*(-6)\/(-54))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 2. Suppose 0 = -4*p - 66 + 14. Let k(o) = -o**2 - 13*o + 5. Let x be k(p). Let y(s) = -s**3 - 5*s - 5. Determine x*u(g) - 2*y(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1412413203 (base 5) to base 8.\nAnswer: -15702431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + sqrt(396) + 1 + sqrt(396) + -2.\nAnswer: -1 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5820, -5830, -5862, -5922, -6016, -6150?\nAnswer: -6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2673994007 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01269704 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239\/30 + -92\/15. Let o = 46 + -11. What is the common denominator of h and ((-1)\/(-6))\/(o\/(-1605))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 4)*(2 - 7 + 1)*(-2 - 2 + 1)*(7*q + 7*q + 0*q)*(-1 - 1 + 0) in the form b*q + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31911 is divided by 233?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744322670 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: What is 12299 (base 10) in base 12?\nAnswer: 714b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(9\/5)\/r*r*r**(-8) assuming r is positive.\nAnswer: r**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 370706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c**2 - 61*c**2 + 45*c**2 + 5*c + 69*c**2.\nAnswer: 2*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*w - 62, 7*x + 1196*w = 1193*w + 113 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + sqrt(352)*2 + sqrt(352))\/sqrt(8))\/(sqrt(576)*1 - sqrt(4)).\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/5 (b) -4\/7 (c) 0.4 (d) 13\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:00 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 - -4) + 3 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/24 and 7\/(-2)*(-11)\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2104583 times 5?\nAnswer: -10522915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 26 = 5*m, 108 = 3*r - 4*m + 125. Let f(x) = -5*x**3 + 5*x**3 + x + 1 - 3*x**3 + 4*x**3. Let s(c) = 5*c**3 - c + 6. Give r*s(o) - 6*f(o).\nAnswer: -o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742512.4 times -0.2?\nAnswer: 548502.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-6))\/((-2)\/(-15)). Let n = 54 - g. Suppose 4*f + n*d = 436, d = -f - 2*f + 337. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 0.5 (c) 1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v - 12 = 0. Suppose -v*t + 5*t = -4*s + 20, 3*t = -s + 10. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200977057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.06 - -1. Let q = 3.0831 - 0.0831. What is the third smallest value in q, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4534*b**3*f**3 + b**3 + 2*b**2*f**2 + b + 15139*f**3 wrt b?\nAnswer: 27204*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2111 + 2040?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 1 + (0 + 0 + 1)*(-1 - 1 + 0))*(4 - 5 + 0)*(j + 2*j - 4*j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31764 and 52599?\nAnswer: 556918212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**5\/20 - u**4\/12 + u**3\/2 + 10*u**2. Calculate c(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2500.67 - 2507. Round p to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**2 + 28*p - 51. What are the prime factors of t(16)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402610 is divided by 187.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**16\/(v*v**(2\/7)*v**3\/v)*((v*v*v**(-1\/4))\/v**2)**(-22) assuming v is positive.\nAnswer: v**(-193\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*h - 195*h - 196*h - 28*h**3 - 191*h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1716*i**2 + 8*i**5 + 0*i**3 + 1852*i**2 + i**3 wrt i.\nAnswer: 480*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-685151)\/137309 + (8 - 3)?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 8*w - 59 + 63, -5*w - 44 = 9*g + 102 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17511, -30864, -44217, -57570, -70923?\n\"Answer: -13353*g - 4158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 114345*q - 114340 = 0. What is q?\nAnswer: 1, 22868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206209426.\nAnswer: 2, 173, 595981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -6?\nAnswer: -145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 47. Let x = 14 - -4. What is the greatest common divisor of x and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 2*u + 2*c, 4*u - c = -13 - 221. Let o = u + 104. Calculate the greatest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58725?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {e: 8, w: 1, f: 10}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140104630.\nAnswer: 2, 5, 797, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96714167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 32*u - 13*u. Is u at least 63\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1584) + (4 + -2*sqrt(1584) - sqrt(1584)) + (sqrt(1584) - (-4*(0 + sqrt(1584)))**2))*2)*1.\nAnswer: -50679 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 - -0.07. Suppose 0 = -f - 4*d - 25, 5082*d = 3*f + 5081*d - 16. What is the fourth biggest value in y, -1, f, 20.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + 49*m + 26. Determine n(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 18322*y**2\/5 - 36652*y\/5.\nAnswer: 2*y*(y - 2)*(y + 9163)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 19*b**2 - 4*b - 57. Give w(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89847 = 37*v + 90809 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, j: 1, a: 5, w: 2, o: 4}. Give prob of sequence ajs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2\/599 (c) 1\/2 (d) -4 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.134 - -3.08. Round d to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5)\/r)**(-12\/11)\/(r\/r**0)**(-4\/29))**(2\/49))**(-45) assuming r is positive.\nAnswer: r**(-22752\/15631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + 2 - (-3 - -1). Let j = y - 32. Let q = j + 27. What is the remainder when 51 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20136 and 50340.\nAnswer: 100680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 963 = 0. Let p = -206 + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -d + 209, 2*d - 418 = -7*w + 8*w. Calculate the highest common divisor of d and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 301*l**2 + 2*l\/3 = 0.\nAnswer: -2\/903, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3119 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*r - 3*r**2 + 19*r + 2 + 16*r as b + a*r**2 + n*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + (2*(sqrt(120)*2 - sqrt(120)))\/sqrt(10) + -2 + sqrt(1200) + -4)*-5)**2.\nAnswer: -13200*sqrt(3) + 46221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/112 + 158\/4 + 0. Find the second derivative of 3*x - 5*x**4 + 2*x + s*x**4 wrt x.\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -477, -1924?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -4. Is (-200)\/v + 2\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 234504\/405 - 6\/(2 + 0). Let w = k + -576. Find the common denominator of w and 52\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, v: 2}. Give prob of sequence gggg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/9623136 and -99\/472?\nAnswer: 9623136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163439 is divided by 163435.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/55 at least 44909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*m + 32*m - 1044. Put 0, -4, 1, m in decreasing order.\nAnswer: 1, 0, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.326.\nAnswer: -0.2608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 52 = c + 4*x, 0 = -2*c + x + 31. Let a(l) = 119*l + 1029. What is the least common multiple of c and a(-7)?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1545, 3224, 4903?\nAnswer: 6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 2483772098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, 4, 83, 198, 349?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.027 and 0.280882.\nAnswer: 0.288465814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/3*2. Suppose 5*m + 29 = 2*a + 5, -4*m = 4*a + 8. Suppose -3*y + 2*j = 1, y - 5 = a*y + 4*j. What is the nearest to -10 in y, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 41. Let d(g) = -4*g - 2*g + 7*g**2 - 8 + h - g. Let b(z) = 11*z**2 - 11*z + 8. Let r(l) = 5*b(l) - 8*d(l). Let r(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -27868*h**2 + 267*h + 20. Let u be p(4). What is u rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:00 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 3, -1.076, 207?\nAnswer: -1.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = -4. Let f be (-335)\/10 + 1\/o. Find the common denominator of (6\/(-4))\/(f\/(-68)) and 8\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/11 + 16264*q**2\/11 + 12701498*q\/11 + 12685236\/11 = 0. Calculate q.\nAnswer: -7257, -874, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214\/155 + -18\/31. Let p = 148 - 144. What is the nearest to -2\/11 in 1\/3, v, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 + l + 1. Let b be f(8). Suppose 3*q = -5*y + 53, b*y - q = 4*y + 69. Calculate the greatest common divisor of y and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8759998048778\/5775 - -1516882775. Let p = 320\/77 + d. What is the common denominator of p and 7\/4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z + 307 - 13*z**3 - 311 + 12*z**3 + 3*z - 3*z**2. Give o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + 1330\/9. Let j be 2\/8 + 38\/(-88). Put j, u, 2\/3 in decreasing order.\nAnswer: 2\/3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*r - 2*z, 3*r - 6*z + z = 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.993109 weeks to days.\nAnswer: 69.951763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 3*c**4 - 4*c**4)*(-1 - 3 + 3) - 14*c**4 + 78 - 78 - c**2 + (-3*c**3 + c**3 + 0*c**3)*(2*c + c - 4*c) - c**4 + c**4 - 3*c**4.\nAnswer: -13*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 488*j**2 + 139360*j - 1081600.\nAnswer: -4*(j - 130)*(j - 8)*(j + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 490 - -4020. Round k to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-3)\/18*(-45)\/1125?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -893195, -893267, -893341, -893417, -893495, -893575, -893657?\n\"Answer: -i**2 - 69*i - 893125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 29, 64, 115, 188?\n\"Answer: r**3 - r**2 + 21*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21.91, -2\/3, 108\/13?\nAnswer: -21.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -3.95. Let j(l) = -l**3 + 10*l**2 + 1. Let b be j(10). What is the closest to b in -1, -1\/8, o?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(1*-9)*(8888\/(-808))\/(110\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -3, -122, 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 11, h: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251667.\nAnswer: 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2943117.3 seconds to minutes.\nAnswer: 49051.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650802624 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 + -2 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 111*t - 2086. Calculate the smallest common multiple of 154 and i(21).\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, -34, -344, -830?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 205.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5290471*c. Let h(n) = 5*n. Give h(x(w)).\nAnswer: -26452355*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -543.5023 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2)*(0 + (-70)\/(-4)). Suppose -5*m + p = 10. Suppose o - 16 = m*o. Let f(s) = -s**3 - 3*s**2 + 4*s + 5. Give f(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1633.9 not equal to -29\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 258 + 22?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h + 3*h)*(-8*h - 8*h + 11*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, -276 in descending order.\nAnswer: 1, -4, -5, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -19 (c) 6053951\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6098036 and 21896?\nAnswer: 12196072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18 = 2*f. Round f to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 20 (c) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 = v, -4*v = -6*v - 4*l + 24. Determine u so that -14*u**2 - 2*u**4 - v*u**2 + 8*u - 22*u**3 - 4*u**4 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-4) + (-3)\/(-6). Let t be 6\/12 - c\/10. Suppose -4*q + 0*q = -2*l - 12, -4*l + 6 = 2*q. Which is bigger: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5512 + 5514. Let i(q) be the first derivative of -q**2\/2 + 6*q - 1. Let z be i(3). Solve -l*j - z*j = -15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53548700, 53548698, 53548696?\nAnswer: 53548694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxfc when four letters picked without replacement from xjjfjcxjjfcxxjcxj.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 320780869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 - 333. Suppose 0 = -4*o + n + 22393, -o - v*n = -6*n - 5587. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.6 (c) -280 (d) -0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21900023?\nAnswer: 2203, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112107931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/9 (b) -5 (c) 0.3 (d) 7502\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.05 times -123121?\nAnswer: 991124.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - 5.9. Let h = -3109 - -3106. Which is the nearest to 2? (a) -2 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1468*r + 32306. Determine g(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4341b0 - -3?\nAnswer: -4341aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 - 249. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36974869073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 98147?\nAnswer: 98147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 7*z + 2. Let r = -11 + 13. Suppose d - 5 - r = 0. Give x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Suppose w - x*p = -2*w + 2, w + 5*p = -12. What is the units digit of (w\/(24\/(-423)))\/((-3)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -84 - (2 - 2 - 3). Let a be 9\/(k\/14100)*3000. What is a rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqy when three letters picked without replacement from qyyqyqq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*x**3 + 4*x - 36*x**3 + 76*x**3 - 113*x**3.\nAnswer: -236*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*99\/18*(-6)\/3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 - 5*j**3 + 3*j + 8*j**3 - j**3 + 0*j**3 - 2 - 19*j**4 - 2*j**2 as u + w*j**3 + m*j**2 + t*j + s*j**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/5)\/(6\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < -157954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11611, -11497, -11387, -11281, -11179, -11081?\n\"Answer: -2*d**2 + 120*d - 11729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-4) - 3 - (273\/(-28) + 5). What is the nearest to -1 in m, 6\/103, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -2017, -3325, -4515?\nAnswer: -5587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/34)\/(10\/8). Suppose 12 = 1972*x - 1975*x - 2*b, -2*x + 4*b = -24. Is x less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from rrrvrrvvvdrrrvrrvvrr.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 4*i - 5*i - c*a = 5, 0 = -3*i - 5*a + 1. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let b(d) = 10*d**2 + 23495100*d. Determine b(v(h)).\nAnswer: 10*h**4 + 23495100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 3*a**2 - 2*a + 1. Let t be f(-3). Let h = 1547\/4 + -387. Is h <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -73, -1, -3, 9 in descending order.\nAnswer: 9, -1, -3, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/2 - 2)\/(-3)*-22. Suppose -9*p - 336 = -j*p. Calculate the greatest common divisor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166894?\nAnswer: 2, 583447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323379 is divided by 2213?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16 = -2*j, 0*j - j - 20 = -2*u. Calculate the smallest common multiple of u and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3 + (2 - 1)). Suppose 14*r - 10 = 18. Determine s so that 1 - s**r + 2*s**2 + 3 - 3 + a*s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-92))\/((-80750)\/(-9775))?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - 2) + (2 - -1)*(-60)\/45. Sort a, -527, 4 in ascending order.\nAnswer: -527, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342.898kg in tonnes?\nAnswer: 3.342898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 11*w**5\/60 - 5*w**4\/12 + 17*w**3\/3 + 3*w**2 - 1. Is z(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 18*p - 36*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (2 - 3))*64435091. Suppose -v = -4*x + 32764909. Round x to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)*g)\/(g\/(g*g**(1\/9)))*g**(-1)\/(g*g*g**(-7\/5)) assuming g is positive.\nAnswer: g**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167531449.\nAnswer: 7, 166790207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982750.\nAnswer: 2, 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**3 + 2*l**2 - 4*l. Let n(g) = -5227*g + 20936. Calculate the remainder when u(-3) is divided by n(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1922 - 1923. Suppose 0 = -z + 4 + 2. Suppose 9*b + z = 7*b. Put n, -4, b, 1 in increasing order.\nAnswer: -4, b, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 10*g - 1. Let v(h) = -7*h**2 + 20*h - 4. Let q(x) = 5*u(x) - 3*v(x). Give q(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2877898\/2775 - 25793\/25. Let b = i + -1\/37. Factor s**3 + 4\/3 + b*s + 13\/3*s**2.\nAnswer: (s + 2)**2*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17424 is divided by 149.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + -3 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + -1 + -1 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = n, 4*z + 13583*n + 28 = 13587*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 769368?\nAnswer: 3846840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1407 or -1403?\nAnswer: -1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Let g be (0\/2)\/(-5 + 6). Suppose g = q + 3 - 5. Solve 0 = n*d + b - 21, -q*d + 0*b = -3*b - 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 1\/30*i**5 - 2*i**2 + 1\/2*i**3 + i - 24 + 1\/6*i**4. Let t(v) be the second derivative of u(v). Determine t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001111100001001 (base 2) to base 10.\nAnswer: 597769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5*o + 52 = 0, 7*o + 46 + 23 - 5 = -2*v - 0*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -12*h**2 + 146*h**4 - 12*h**3 + 0*h**3 - 150*h**4 - 4*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 12873345, 0.4?\nAnswer: 12873345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -29*w + 61 - 220, 133*w = -129*w - 132*w + 399*w + 2*l + 39 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2, 7601.\nAnswer: -30, 2, 7601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 7. Suppose -13*b = -14*b - 5. Let d be y(b). Let 0*r - 6*r + 2*r**3 + r**d + 3*r**2 + 0*r = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 3*w + 0*w - 3 + w + 3 + (-w - 4*w + 3*w)*(-1 - 2 + 4) + 2 + w - 2 + 56*w - 36*w + 89*w.\nAnswer: 111*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14858, -29716, -44574, -59432?\n\"Answer: -14858*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139 - -88268?\nAnswer: 8812a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 668*v + 10 + 16)*(2*v**2 + 0*v**2 + 0*v**2).\nAnswer: 1336*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanaaaaaaaaa. Give prob of sequence na.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -30, -48, -82, -138, -222, -340?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35512193 > 35512191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 6*v**2 - 6*v + 13. Let o be q(-7). Solve 2*k + 2 = 2*h + o*k, -4 = -4*h - 4*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134231*o**2 - 1 + 2*o**3 + 4*o**3 + 134231*o**2 + 1.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14ab9 (base 12) in base 15?\nAnswer: -89d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/7*545\/(-109).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, 5, -1534, -1 in decreasing order.\nAnswer: 5, -1, -5, -29, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*d**2*u - 66*d**2*z + 479*d**2 - 2*d*u - 1164*u*z wrt u?\nAnswer: -8*d**2 - 2*d - 1164*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 1. Let q be u(1). Suppose f - 10 = -q*f. Suppose f = 2*y, y + 2*y = 3*p. Solve -1 = -2*n - p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9296*i - 9296*i + 286*i**2 + 232*i**2.\nAnswer: 518*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 7*j**5\/30 - j**4 - 4*j**3\/3 - 2*j**2. Solve z(r) = 0 for r.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, o: 5, e: 4}. What is prob of sequence ooe?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - 0.6. What is the smallest value in -1\/3, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-97 - (77 + -89)) + 65\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2\/2 - 2*a - 2. Let l(y) = -y - 1. Calculate 4*l(s) - 2*p(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l + 342. Is v(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 + -44. Let p = -1274 + 1361. What is the remainder when p is divided by t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 3*z - 5. Let t be l(-5). Let u be 1\/4 - (78\/8)\/3. Let f be 28\/8 - u\/(-6). Solve -j + f*k - 2 = 0, -3*j + t*k - 3 - 3 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -0.2, -11\/12 in decreasing order.\nAnswer: 4, -0.2, -11\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f = -158*f + 79*f. Let m(s) be the first derivative of 5\/2*s**2 + f*s + 16\/3*s**3 - 4. What is the second derivative of m(r) wrt r?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4578, -36713, -123990, -293985, -574274?\nAnswer: -992433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(4 + 18\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.027 - -10.273. Let s = -9.3 + o. What is the nearest to 3 in s, -0.03, -2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b + 11. Let h be a(-7). Suppose 3*k = 4*x - 2*x - 161, h*x = 5*k + 319. Suppose -48*p + x = -46*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g + 14. Let m(z) = 3*z - 5. Let s = 1305 - 1291. What is s*m(y) + 5*l(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15399933 + -0.154. What is y rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from wweeew.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 906\/517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17792 - -17966. What is the greatest common factor of v and 1856?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r + 41*r + 567. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106057 (base 9) to base 10\nAnswer: -63475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159734955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k**2 - 2*k - 9. Let h(j) = 6*j**2 + j + 3. Calculate -7*h(m) - 3*l(m).\nAnswer: -3*m**2 - m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**4\/4 - 2*w**3\/3 + w**2\/2 - 1416. Determine i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 2*i**2 + 3*i + 2. Let v be p(-2). Let f(o) = -2*o + 7. Let g(r) = -r + 4. Let a = 58 + -35. Let m = -16 + a. Determine m*g(w) + v*f(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -2. Let z(y) = -2 + y**2 + p - 2 - y. Let i be z(0). Solve -i = -2*a + 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.2, 0.365?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2057)*1)**2 - sqrt(2057)) + 1 + sqrt(612)*2.\nAnswer: sqrt(17) + 32913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**2 + 0*g**2)*(-157 + 157 - 3*g)*(-3*g**2 - 2*g**2 + 3*g**2) - 132*g**5 + 0*g**3 + g**3 + 115*g**5.\nAnswer: -29*g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 876 - 519. Suppose 0 = -s + 4*x + u, 0 = 4*s - 5*s + 2*x + 347. List the prime factors of s.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuwfuufuffuffuffffw. Give prob of sequence wf.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 98*a + 3583. Give x(24).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 2*q**3 - q**2 + (3 - 10 - 4)*(-251*q**3 + 1679*q - 1679*q) in the form k*q**2 + r + t*q + u*q**3 and give u.\nAnswer: 2763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**4 - 7*r**3 + 2*r**2 + 3. Let w(f) = f**4 + 13*f**3 - 4*f**2 - 5. Let u(c) = 5*k(c) + 3*w(c). Factor u(z).\nAnswer: -2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 15. Let s(j) = 2*j - 36. Let t be s(15). Let w be 3 + (t - -9) + -2. Sort -1, 5, q, w in increasing order.\nAnswer: q, -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3.147 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14234 and 880.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10818 - 74?\nAnswer: -10892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -20, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 5. Let o be j(7). Suppose 3*z = -o*z - 3*m + 22, 2*z - 3*m = -8. Factor -5*i**2 + 2*i**3 + i**2 + 6*i**z - 2*i**4 - 2*i**5.\nAnswer: -2*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 2003?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, 3, -52.\nAnswer: -52, -22, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 13. Let r = -4 - c. Let z(a) be the first derivative of -a**3\/3 + 5*a**2\/2 + 3*a + 3139. Give z(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*a + 39 = 0, 2*b - 3*a - 21 = -92. Let k = 47 + b. Solve -6*t - 4*g - k = -3*t, 0 = -t - 2*g - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-988)\/(-169) + -6)*-39. Solve c*h - h - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 0*p + 2*p)*(-4*p + 14*p + 7*p) + 3*p**2 + p**2 - p**2 - 4*p**2 + 3 + 3*p**2 - 1 to the form m*p**2 + f + g*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-1 + 1 - 2)*(4*a - 5*a + 4*a)*(2 - 3 + 0).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/7 - 119613*p**2\/7 - 170316096*p + 170333184.\nAnswer: -3*(p - 1)*(p + 19936)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.3, 24, 0.9, 16?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78094201*j**3 - 17*j**2 - 3*j - 19780.\nAnswer: -468565206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*i - 124 = -5*i, -2*i = 2*g - 48. Let k = g - 22. Suppose 0 = 2*w + 4, -3*y + k*w = -42 - 0. What is the remainder when 21 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5657 times 4407?\nAnswer: 2493.0399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 368\/759 + (-5)\/((-30)\/(-4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66284 divided by 1.\nAnswer: -66284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 206190 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21680 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let z be t(0). Let a be -1 - (-2)\/((-30)\/(-25)). Suppose 0 - a*f**4 - 2\/3*f**3 + z*f**2 + 0*f = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = a + 4 + 5, 0 = -5*u - 2*a + 9. Let p = 8 - u. What is the derivative of 3 - n - 2*n**3 - p*n + 6*n wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 + 2. Let c be n(-3). Let z = c + 10. Let o = -4 + z. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293160*y - 146577*y - 146576*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.549 - 0.549. Let k = 3 - 3. Put h, k, 0.08 in decreasing order.\nAnswer: h, 0.08, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 411066.\nAnswer: 11\/411066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -27*z + 26 + 7*z + 15*z + 7*z. Determine y(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-45)\/(-5)))\/(5\/9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1140*w - 1174*w + 2 - 1205*w + 11450*w + 7722*w + (-3 + 4 - 3)*(1 - 1 - 2*w) - 5*w + 2*w + 2*w.\nAnswer: 15656*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -963196.8595 rounded to the nearest 1000?\nAnswer: -963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30347.829 and 11.6.\nAnswer: 30359.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 3*k + 8*k - 7*k - 2*k**2 to the form p*k**2 + s + f*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498 divided by 247?\nAnswer: 2498\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from aaagaagg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -2*w**3\/3 - 976. Let r(g) = -94*g**2 - 3*g. What is r(s(f))?\nAnswer: -376*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y - 28. What is the remainder when 75 is divided by h(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2.15 (b) 18 (c) 1\/4 (d) -2\/11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.47 take away 54391?\nAnswer: -54251.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 50336472*w + 12559. Let b(u) = -12025*u - 3. Determine -12559*b(j) - 3*g(j).\nAnswer: 12559*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:52 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 - 12*h - 4. Let r(o) = -13*o**2 + 23*o + 7. Let f(s) = 6*r(s) + 11*y(s). Let u be f(4). Let a(t) = -t**2 + 5*t - 6. Determine a(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 201, 12025, -1\/7?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2. Let y(m) be the third derivative of 5*m**4\/2 + 55*m**2 - 2*m. What is y(l(i))?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 117 and -1582198145.\nAnswer: -1582198028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/(-18))\/8)\/((-298)\/25479).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (39\/5)\/3 + -3. Which is the nearest to 2\/7? (a) 2 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 270397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -16*m**3 + 3185*m**2 - 3367*m + 198 = 0?\nAnswer: 1\/16, 1, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.14, 361, 4.\nAnswer: -5, 1.14, 4, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 388*y**2 + 391*y**2 + 1 - 778*y**2 + (y - 1 + 1)*(3*y - 6*y + y) in the form q*y + a*y**2 + g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*4*(-5)\/10. Suppose 0 = -3*d - 5*a - 61, 2*a = -0*a - c. Let k = -4 - d. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 3*p**2 - 5*p**2)*(3*p**2 - 5*p**2 + 3*p**2)*(3 + 10 + 0).\nAnswer: -26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + 1851. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*y - 5*y. Let h be 6\/(-15) + (-27)\/(-5) + y. Find the third derivative of 16*s**2 + 19*s**h - 94*s + 94*s wrt s.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 m, and 1 x when four letters picked without replacement from myxxiyiiixnminmimi.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 + -65. Let r be (4\/6)\/(4\/(-6)). Let z = r + a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 25 + 9 = 3*x, 14 = -2*m - 3*x. Let v(t) = t**3 - 11*t**2 + 5*t + 113. Let s be v(9). Put s, m, 1, -5 in decreasing order.\nAnswer: 1, m, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khkkskkhskkykhhksy. Give prob of picking 1 h and 2 s.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/3 - d**4\/12 + 150*d**2 - 750*d. Find the first derivative of z(s) wrt s.\nAnswer: 40*s**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -51, -122, -229, -378, -575, -826, -1137?\n\"Answer: -s**3 - 9*s**2 - 7*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 34 = -2*h, 27 = 4*q - 4*h - h. Let z = q - 5. What is the third derivative of z*a**5 - 5*a**5 - a**2 + 0*a**5 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/(k**(-2\/21)\/k*k))**(1\/3)\/((k\/(k*k**5))\/(k*k*k**(-3))*k**5*k**(-2\/7)\/k) assuming k is positive.\nAnswer: k**(104\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-552)\/(-33580))\/(((-198)\/(-55))\/6).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose -c*o + 34 = 5*x, -3*x + o + 10 = -3*o. Suppose 1 = 4*u - v - 36, -u - 3*v = -x. What is the greatest common factor of u and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.17902 and 68.\nAnswer: -80.17336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 11*y**4\/24 + y**3\/6 + y**2. Let b(v) = -v**2 + 19*v - 70. Let q be b(13). Let w = q + -7. What is s(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 28*s**3\/3 - 2. Let b(p) = 31*p. Let o(k) = 11*k. Let u(z) = -b(z) + 3*o(z). Give c(u(f)).\nAnswer: 112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 622. Let c = x - -311. Let z(m) be the third derivative of m**4\/24 + 2*m**3\/3 + 3*m**2. Give z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/242 and 13\/198.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6560186827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/3 - 21*g**2\/2 - 4*g. Let d be u(12). Suppose 5*f - 38 = -d. Solve -3*p + f - 16 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -1\/6 (c) 1.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*i**3*r**3 + h**3*i**3*r - 6421*h*i**3*r**4 + h*r**2 + 736*i**3*r - 2*r**2 wrt r?\nAnswer: 12*h**3*i**3 - 154104*h*i**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.4. What is the closest to 1 in -1, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 = j. Let f(x) be the second derivative of x**4\/2 - x**3\/3 + 2*x**2 - 4*x. Let n be f(2). What is the highest common divisor of j and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 86 = 2*h, 16 = 3*h + h. What is the smallest common multiple of z and (1 - 33\/(-21))\/((-93)\/(-434))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-24 - 0) - -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1718*i**2 - 174*i + 4 wrt i.\nAnswer: 3436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let l(w) = -25*w - 5. Let c = 3 - 2. Let s(k) = c*l(k) + 30*r(k). Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 23. Solve x*c - 1 = 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -27842 - -15)\/((5 - 3)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46140, -92271, -138402, -184533, -230664, -276795?\n\"Answer: -46131*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1))\/t))**29*(t*t*t*t*(t\/(t*t**(-1)*t))\/t*t)**(-8))**27 assuming t is positive.\nAnswer: t**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:32 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 80*c. Let q(n) = -20*n**2 - 37*n**2 + 55*n**2. Calculate q(v(w)).\nAnswer: -12800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33380 is divided by 16687.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - u**4 - 2*u + (u**3 - u**3 + u**3)*(-2 + 2 - u) + (-42*u - 11*u + 15*u)*(2 - 3*u**2 - 2)*(-u + 2*u + 5*u).\nAnswer: 682*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-12) + (-8)\/(-6). Suppose -z = -0*z + 2. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 326. Let p = -261 + s. Which is bigger: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -16*z**2 + 16*z. Let f(o) = o**2 - o. Let l(i) = 6*a(i) + 88*f(i). What is the second derivative of l(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -166*p**2. Let r(z) = 52*z**2 + 4*z + 68. What is r(x(i))?\nAnswer: 1432912*i**4 - 664*i**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 30705*t - 373533930 = 0. Calculate t.\nAnswer: -12243, 6102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/20)\/(9\/(-60))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45545640 divided by 210?\nAnswer: 216884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8429594459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-19625.94.\nAnswer: -98129.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/7)\/p*p*(p*p*p\/p**(-4\/15))\/p*(p**(-19))**(-2\/3))**(-6\/13) assuming p is positive.\nAnswer: p**(-3316\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -83411000 to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/3 - 17*n**3\/6 + 4*n + 648. Let c(t) = -4*t. Determine c(u(a)).\nAnswer: 16*a**2 + 68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 572, 1547, 3422, 6497, 11072?\nAnswer: 17447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -792, 1, 3 in decreasing order.\nAnswer: 14, 3, 1, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 4*n**2 + 15443 - 15443. Let r(u) = u**2 + 3*u - 104. Let m(q) = -2*q + 103. Let o(c) = 3*m(c) + 2*r(c). Calculate h(o(v)).\nAnswer: -4*v**4 - 404*v**2 - 10201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*w**2 + w + 0 = 0. Calculate w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/4*z**2 - 7\/120*z**6 - 23\/80*z**5 - 9\/16*z**4 - 3*z - 13\/24*z**3 - 6. Factor d(h).\nAnswer: -(h + 1)**3*(7*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -8104560, 0.5?\nAnswer: -8104560","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o**3 + 6*o**2 + 69*o + 11. Let b(d) = 32*d**3 + 11*d**2 + 121*d + 22. Give -4*b(s) + 7*w(s).\nAnswer: -16*s**3 - 2*s**2 - s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:29 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 2 + (17\/(-51))\/((-1)\/39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 6. Let c be i(7). Suppose 6 = 3*y, f - 2*y - 16 = -4*f. Suppose 24 = b - 4*l, b = 4*b + f*l - 8. Calculate the highest common divisor of c and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*z + 26. Suppose 5*n = n + z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 793785431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p**2 + p - 1. Let a(j) = 11*j**3 + 2*j**2 - 4*j + 4. Determine a(y) + 4*z(y).\nAnswer: 7*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**3 - k**2 - k - 1. Let z be a(-1). Let g be 13 + 0 + -1*1. Let y = -27 + 29. Solve z*q - y*q = g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 2752.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/10 + 5*v**2\/2 - 8*v. Differentiate q(j) with respect to j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 9*x + 5. Let r be i(-3). Suppose -4*w = -4*n - 36, 2*w + r*n = 3*w - 21. Which is the third smallest value? (a) -0.5 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01326556638 rounded to four decimal places?\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/(-9)*2)\/(-2). Let d(q) be the first derivative of 2 + 0*q**2 + 0*q**4 + 5\/6*q**6 + z*q**3 + 0*q**5 + 0*q. Find the third derivative of d(j) wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**7\/5040 + j**6\/240 - 7*j**5\/12 + j**4\/12 - j**2 + 3*j. Let z(g) be the third derivative of l(g). Calculate z(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/18087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwo when three letters picked without replacement from xwwwsxxosss.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 21 - 29. Let h = -7 + 9. Calculate the least common multiple of (-5)\/((-15)\/24) - h and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 - 211*h**2 - 1357*h + 1708. What is i(-45)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckkzkkkqqkqkckkkczz. Give prob of sequence kqq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*j - 18 = 0, -j = y + y + 12. Let c(t) be the first derivative of -t**2 + 5*t + 1. Does 7 divide c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 4*m**2 - 2*m + 2*m**2 + 8*m**2)*(-50*m**2 + 38*m**2 + 21*m**2).\nAnswer: 81*m**4 - 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23664.99 days in seconds?\nAnswer: 2044655136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 434489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**3 - 8*s**2 - s - 3. Let z(k) = -2 - 4*k**2 + 12 + 3*k**3 - 11. Let f(m) = -2*y(m) + 5*z(m). What is f(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -28. Let w be ((-1)\/u)\/((-2)\/(-108)). Let x = 187\/7 - w. Is -0.015 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24*o**3 + 10*o**2 + 12*o. Let r(w) = -w**3 + w**2 + w. Determine -c(q) + 12*r(q).\nAnswer: 12*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1554.992805 - -1555. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -7*k**4\/12 + 39*k + 3. Determine n(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 86730.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.2. Let p = f - 0.1. Let l be (-4*(-3 + 4))\/(-1). Put -0.3, l, p in increasing order.\nAnswer: -0.3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 + -5)*((-14675)\/(-75))\/(2\/(-126))?\nAnswer: 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {c: 1, z: 3, a: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 9*s**2 - 7*s + 7. Give x(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/9 and 48\/47.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 + (-30 - -3) + (11 - -3 - -1) + 14.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*m - 46*m - 5*m**2 + (0*m + 0*m + 2*m)*(-5*m + m + 2*m) - 5*m**2 + 2*m**2 + m**2 - 2*m**2 + 0*m**2 + m**2 - m**2 - 3179 - 3125 + 6225.\nAnswer: -13*m**2 - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:00 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24214998 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23618.44897 rounded to the nearest integer?\nAnswer: -23618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 7 - 7964\/(-1086). Determine d, given that -2*d**3 - 4\/3*d**2 + v + 2*d = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -529 - -532. Let p(w) = 33*w - 39. Let h(c) = -3*c. Let i(r) = d*p(r) - 36*h(r). Differentiate i(g) wrt g.\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y - 2*y - 3*y + y**5 - 13*y**5 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d - 6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42 + -2*4\/8. Suppose -p + 5*z = -23, -2*p + 5*z + u = -5. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1745 + 1a?\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.213 - -2.213004523. Round r to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/105 + 9*c**6\/40 - 29*c**4\/12 + c**3\/3 + 2*c**2 + 48*c. What is the second derivative of b(w) wrt w?\nAnswer: 24*w**2 + 162*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 14*j + 20. Let l be w(15). Suppose 2*m - 276 = -4*f + 5*m, -l*f = 3*m - 345. Is 23 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76833*c = 76830*c - 7*o - 6, 2*c - 2 + 6 = 2*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -67.1. Let y = -1.095 - -4.995. Let i = y + b. Sort -0.3, 5, i, -0.4 in ascending order.\nAnswer: -0.4, -0.3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30426916900 to the nearest one million.\nAnswer: -30427000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -39. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 3)*5.\nAnswer: 15 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 3*x + 2. Let a = 7 + -9. Let y be q(a). Suppose 0 = 3*t - 22 - 86. Calculate the highest common divisor of t and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = f. Let k(m) = m**2 + 2*m - 10. Let w be k(f). Let t be 3\/(3\/(-9)*-3). Solve 4*o - w*o = -a - 2, -a - t*o = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*z + 10 - 2, z = -t - 2. Let x(m) = -15846*m - 5. Let v be x(-1). Suppose -16*u + 23*u - v = t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/88)\/(3*-3*(-9)\/324). Let d = -58 - -5. Are f and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2. Let f = -160 + 165. Let y(t) = 7*t**2 - 2*t + 1. Let g be y(1). Let r(n) = f*n**2 - g*n**2 + 2*n**2. Determine r(k(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/9)*g*g\/(g*g*g*g\/(g\/(g\/g**(1\/6))))*(g**(-1\/2))**(4\/13)*(g\/(g*(g*g*g**(-3)*g)\/g*g)*g*g*g\/(g**3\/g))\/((g**2\/g)\/g**(-5)) assuming g is positive.\nAnswer: g**(-1583\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -57 times 1401488\nAnswer: -79884816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -61 (b) 9\/6497 (c) -5 (d) 1 (e) -4 (f) 0.3 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 858925204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 3 + 33 + -41 + 10 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -3.04. Let h = 3.05 + -0.05. Let v = h - f. What is the closest to 2 in 5, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-26))\/(((-22)\/55)\/2*10).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 6*f - 6. Let i be g(-4). Suppose 2*r = -2*p + 78, 70 = i*p + 6*r - 2*r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2\/2) + -2. Let a be ((-2)\/(-4) + h)*62. Let q = -63 - a. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 45*s + 2*s = 1 - 13, -2*s - s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 2*r - 34, -146*r - 148*r = 10*g - 295*r + 17 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:56 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((6\/27)\/((-76)\/24))\/2. What is the fourth smallest value in f, 5\/2, 0.1, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-6)*c)\/(c**3*c))**22 assuming c is positive.\nAnswer: c**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*g**4*n + 3*g**4 - g*n + g + 3*n wrt g?\nAnswer: -516*g**2*n + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**5\/20 + r**4\/3 - 2*r**3\/3 + 13*r - 6. Let b(n) be the first derivative of w(n). Calculate b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.36, -2, -4, -1 in ascending order.\nAnswer: -4, -2, -1, -0.36, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/4 + (0 - -1). Let v(d) be the first derivative of 4*d**3\/3 - d - 10. Let r(f) = -f**2 - 1. Let z(b) = p*r(b) + v(b). Factor z(w).\nAnswer: (w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (864 - 875 - (-23)\/2) + 139\/(-2)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -830895?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.50853 - -0.00853. What is the nearest to 0 in 4, 14, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziz when three letters picked without replacement from qkqkiqzqtkz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 91 - (-1)\/1*-3. Let h = b + 75. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*i**6 + 5*i**4 + 131*i**3 - 1143*i**2 + i - 654?\nAnswer: -9120*i**3 + 120*i + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 42 = -12. Let h be ((-2)\/4)\/((-3)\/y). Solve h*i = -9 - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80132 divided by -2574.\nAnswer: 3082\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 660833388 - 356721171. Let j = u - 304112230.99999948. Let g = j + 14. 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 0.3 times 57763.702?\nAnswer: 17329.1106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 + 122?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42916 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 31*w. Let o(p) = 73471*p + 3. Determine o(s(q)).\nAnswer: 73471*q**2 - 2277601*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/17 - (1 - 0 - 7). Let q be (17 + -2)*(-2)\/(-3). Solve 0 = k*a - q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 h when three letters picked without replacement from {g: 3, h: 1, v: 1, m: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3952\/(-880) + 2\/5 and 11\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, -1325, 0, -63, 1.\nAnswer: -1325, -63, -22, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -356*t**5 - 3*t**4 - 2*t**3 - 19*t - 351 wrt t.\nAnswer: -7120*t**3 - 36*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*h - 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 3*x**2 - 11*x + 11*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 64423.9.\nAnswer: 64423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.129.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8195 and 0.1.\nAnswer: -8194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46440784.\nAnswer: 2, 13, 223273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/43)\/c**(-2\/13) assuming c is positive.\nAnswer: c**(60\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145.9285 - 0.1715. Let p = f + 146. What is the closest to p in 3\/4, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - 2) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215314 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1098 + 1098. Which is the third smallest value? (a) 0.1 (b) -0.1 (c) k (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:57 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*h = 5, 2*h + 4 = -4. Let y = 2 + c. What are the prime factors of (9\/y)\/(12\/68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -4458195?\nAnswer: 79\/4458195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)*c*c*c**(-2\/3))\/((c**(4\/5)*c)\/(c*c**(2\/37)*c)) assuming c is positive.\nAnswer: c**(-6889\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*v - 392*v + 932 = 0. Put 3, v, -3, 1 in descending order.\nAnswer: v, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - (4 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1940, -4, 0.4 in descending order.\nAnswer: 0.4, -4, -1940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9*5\/(-20)*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/6 - (120 + -122). Which is the third smallest value? (a) -2\/47 (b) 2\/15 (c) -1\/5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69*t**3 - 4*t**2 + 8*t**2 + 2*t**2 + 72*t**3.\nAnswer: 3*t**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-20))\/((-1)\/(-5)). Suppose -12 = 4*k + 2*w - 0*w, 0 = -3*k - 4*w - 14. Let v be 0\/(k\/(-3) + (-20)\/12). Solve v = f*j - 5*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - (-7 - -17 - 18) - 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**4 - 6*q**2 + 5*q + 53. Let s = 442 - 441. Let a(i) = i**2 - i. Let u(r) = s*v(r) + 6*a(r). Differentiate u(p) wrt p.\nAnswer: 24*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4278 is divided by 330.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 4*y)*(-15 + 39 + 0 + 111 + 21).\nAnswer: 624*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88073910473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186985643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106904, -106902, -106898, -106892, -106884, -106874?\nAnswer: -106862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s + 27. Let a(h) = 3*h. Give o(a(v)).\nAnswer: -24*v + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - v. Let s = 0.912 - -415.088. Let m = s - 411. Sort m, -0.4, v, 3 in decreasing order.\nAnswer: m, 3, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 3*d**2\/2 - 3*d - 2. Let u be o(2). Suppose 4*f + 2 = z, 3*z - 2*z = -u*f + 2. Solve 3 = -z*v + v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9650698*m**2*p**2 + 6*m*p**2 - 209936565*p**2 wrt m.\nAnswer: 19301396*m*p**2 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1903193*m**2. Let d(s) = 2*s**2. Give t(d(c)).\nAnswer: -7612772*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*r - 4. Which is smaller: r or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617*m + 612*m + 25 = 0. Solve 2*a + 3*j + 4 = m*j, -3*a + 18 = 5*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*v - 2*x, 3*v - 5*v + 5*x + 2 = 0. Let k be (-12)\/(0 - v) - (-22)\/8. Sort k, -26, -4 in decreasing order.\nAnswer: k, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = 2*n, -w = 2*n - 7*n + 3. Suppose -w*r + 4 = -3*r. Let i(l) = -l**2 - 3*l + 1. What is i(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33b6a (base 12) to base 13.\nAnswer: 25582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -0.2, -1, -0.1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(2\/23)*b\/b**(3\/11)*b*b\/(b**7*b) assuming b is positive.\nAnswer: b**(-1356\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t - 47 + 172*t**3 + 61*t + 46.\nAnswer: 172*t**3 + 86*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -0.5, 2, 0, -0.1 in increasing order.\nAnswer: -0.5, -0.1, 0, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*x + 4*j = 0, j = -x + 10. Suppose 148 = x*q - q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a38 (base 16) in base 7?\nAnswer: -61311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 30446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/6 and (-17)\/((-2975)\/4)*167\/72.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 1, i: 7, v: 5, t: 2}. Give prob of picking 2 t, 1 q, and 1 i.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83665792 divided by 93377?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -1 - -8) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -98*k - 5. Is s(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/1224 and -37\/80?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4 - 23*g**3 - 120*g**2 - 86142*g wrt g.\nAnswer: -36*g**2 - 138*g - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 8*i - 7. Let t be k(9). Let n = t - 6. Let m(p) = -p**2 - p + 1. Let v(c) = -c**2 + 4*c + 8. Let z(b) = -2*m(b) + v(b). Give z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006301892979 to five decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 240861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266635*g**3 + 14*g**2 - 38237163*g wrt g.\nAnswer: 1599810*g + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -1\/41, -5?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21648 is divided by 470?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-621)\/(-33) + 4\/22. Suppose -2*c = -9 - j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8830?\nAnswer: -3\/8830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.439394 to 1 decimal place.\nAnswer: 131.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:08 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3\/5 + 4*v**2\/5 + 64*v\/5 + 16 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44095627 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505586636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by ((-4)\/4 + 3\/9)*-123.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) -0.01 (c) 1.6 (d) 1\/5 (e) -1\/14 (f) -0.07 (g) -2.05\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let l(c) = -231*c**3 + c**2. Let t = 21 - 22. Let a be l(t). Let r(m) = 232*m - a*m - 20*m**2. Calculate q(r(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.826174 and 1185245.\nAnswer: 1185244.173826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2867*u = 2802*u - 332 - 123 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose -j*l + 4*l - 5 = -2*m, 5*m = -3*l + 13. Solve -3*i**3 - 3*i**4 + m*i**4 + 3*i**4 + i**3 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/(-17)*((-10)\/(-12))\/(-5).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44370 + 3*l**3 + 44370.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose -4*c + 7*c - 5*i - 9 = 0, 0 = g*c + 3*i - 9. Differentiate h**3 - h**c + 3*h**3 + 2 wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4393952 and 60777.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1685*c - 1683*c + 16 = 0, 3*a + 5*c = 159101. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-35)\/l)\/(l**(-6\/7)\/l) assuming l is positive.\nAnswer: l**(-239\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-60)*1*(-135)\/(-36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 11. Suppose -3*n = 6 - 15. Let q(l) = 2*l**3 - 1 - l - 3*l**n - 7*l**2 + 10*l**2. Give q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-20) - 2\/(-8). Let r(z) = z**2 + 6*z + 4. Let l be r(-6). Suppose -l*s = -o - 6, -o - 4*s - 2 = 2*o. Is j > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 38.8. Let u = -0.8 + 1. Let l = u + 0.8. What is the closest to b in 4, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692 = 5*o + 4*l, 3*o - 2*o + l = 339. Let r = o + -340. Which is the third smallest value? (a) -0.2 (b) -6 (c) r (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55184388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/9)*(l**(-3\/2)*l)\/l)\/(l**(2\/7)*l**(1\/3)))\/(((l*l**(1\/3)*l*l*l)\/l)**16)**(-1\/2) assuming l is positive.\nAnswer: l**(3065\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -495.\nAnswer: -41\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2992 and 35\/18139.\nAnswer: 290224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -15\/386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1082 (base 13) to base 3\nAnswer: 10011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2047695*c**3 - 15 - 2047695*c**3 - 2*c - 8*c**4 + c**2 + (3*c**3 - 5*c**3 + 0*c**3)*(0*c + 2*c - 4*c) + 3*c - 3*c - 2*c**4.\nAnswer: -6*c**4 + c**2 - 2*c - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -1. Let d = -311 - -311. Suppose -3*r = 4*t - d*t + 21, -5*r = -t + 12. Put t, 0, a, 3 in ascending order.\nAnswer: t, 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 825825?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus 2805465990707.8?\nAnswer: 2805465990691.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -7*j - 24. Differentiate 10 + 12*l + j + 0 - 30*l wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 81?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*o*s + 77*m**3*o - 3*m**2*o + 2*m*o*s + m*s + 2*m - 2*o*s wrt m?\nAnswer: 6*m*o*s + 462*m*o - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u**2 + u + 2. Let t(w) = -31*w**2 + 3*w - 12. Give 4*s(j) + t(j).\nAnswer: j**2 + 7*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4862*n**3 + 2*n**2 + 488*n + 3?\nAnswer: -29172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 2*y - 23, 4*i = y + 24. Is 11 a factor of (19\/1)\/(i\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 5*i + 4*i + (3 + 5 + 3)*(-6*i + 0*i + 2*i))*(56 + 7*i - 56).\nAnswer: -273*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0619 * 0.0576.\nAnswer: -0.00356544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = 3. Let b = i + -9. Let w be 5 - b\/(-2)*2. Solve 0 = -3*k - 8 + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1)*-4)**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:33 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98844000 rounded to the nearest 1000000?\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2436 = 3*i, -i - i - 4840 = -4*h. What is the hundreds digit of (h\/24)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 24. Let p(c) = 2*c - 24. What is 2*g(q) + 3*p(q)?\nAnswer: 2*q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 10428 = 6*i - 7908. Calculate the greatest common divisor of i and 3660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 31, 265 in ascending order.\nAnswer: -4, 31, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -6. Let f be 1\/5 + l + -1. Which is the third smallest value? (a) -1 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*d**3*t - 278*b*t - d**3 - 2*d*t + d wrt b.\nAnswer: d**3*t - 278*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38776 is divided by 281?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 3. Suppose -4*y + 4*j - 4 = 0, 4*y + 0*j + 28 = -4*j. Let s be v(y). What is the closest to -2\/3 in -2\/3, 1, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 27*x - 59. Let i be n(-29). Let g be (-33)\/(-3) + (-7 - i). Calculate the greatest common divisor of 40 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 - 2*u - 8. Let x be p(-6). Let k(f) = 1. Let y(d) = 2*d - 16. Let l = -9 + 10. Let m(a) = l*y(a) + 10*k(a). Determine m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664003 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:56 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 178286600 to the nearest 1000000.\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 1 - 2 - 5*s. Let t be (1 - -1)*-1 - -3. Let c(y) = -y**2 + 2. Let w(x) = 3*x**2 + x - 3. Let m(n) = 2*c(n) + w(n). Calculate t*m(z) + p(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 134 + (-64 - -34 - -2 - (1 - 24))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476968, -953248, -1429528, -1905808, -2382088?\nAnswer: -2858368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -3, -4, -38 in descending order.\nAnswer: 9, 0, -3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37169*l**3*q**3 + 4*l**3*q**2 + 130*l**2*q**2 - 2*l*q**3 + 2*l*q + 12*l wrt q.\nAnswer: 223014*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -3. Let q(p) = -p. Let w(n) = 3*n**2 + 9*n. Let b(d) = j*q(d) + w(d). Let k(g) = -3*g**2. Calculate k(b(h)).\nAnswer: -27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - p - 2 - 1 = 0, -q + 4*p = 13. Let v = 497 + -494. What is the closest to 1 in -2, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 2*d**3 - 4*d**3)*(-d - 3*d + 3*d)*(-7 + 2 - 3*d + 1).\nAnswer: -6*d**5 - 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*k - 2*k, 2*k - 2*g - 6 = 0. Let q be k + 0\/4 - -48. Let y = q + -21. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3107160 and 69822.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 208\/15*u - 38\/15*u**2 + 2\/15*u**3 - 352\/15.\nAnswer: 2*(u - 11)*(u - 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5264387 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17406*f**2 - 34703*f**2 + 17309*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = q + 3*k, -q = -5*q - 4*k - 232. Let n = -21 - q. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682300 smaller than 1682304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 13 + 32*r - 7.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 24*a**2 + a + 22*a**2 - 45*a**2. Let y be g(-3). Calculate the remainder when (-1592)\/(-14) - y\/(-21) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-22))\/(21\/12 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.36 times -0.2?\nAnswer: -1.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/12 + 19*p**3 + 53*p**2. Suppose -2*h + 10 = 5*l, -3 = 3*h - 3*l + 3. Does 14 divide n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -17*v**5\/10 + 9*v**2 - 35*v + 19. Let x(f) be the first derivative of d(f). Differentiate x(u) wrt u.\nAnswer: -102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f**4)*(-4 - 1 + 2).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*i = -61, -50 = 4*a + a + i. Is (-16)\/(-72) + (-160)\/a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w - 4*k - 443 = 0, 3*k - 9 = 0. Suppose 93*b = w*b + 14. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:40 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14 + -19 + 14 - -292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -5. Let q be ((-6)\/18)\/((-1)\/(-6)). Let w be 1 - (q\/(-6) - -1). Is v bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 9*i + 12. Let l = 9 - 19. Let o be q(l). Suppose 0*z = -z - o*f + 12, -f = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 - -2*20\/12. Suppose -o*a + 594 = -3*v, 3*v + 856 - 65 = 4*a. What is the remainder when a is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 6*c**2 + 5*c - 26. What is j(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2231320312 (base 4) to base 15.\nAnswer: e1081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 5*j - 255 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/7426750 and -37\/4.\nAnswer: 14853500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*m + 16 = 0, -3*m = g + 2*g - 66. Suppose -2*c - 2*c = g. Let q(v) = -v**2 - 6*v - 6. Give q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*l + 4 + 2 - 3 - 7 + 12 in the form y + f*l and give f.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**2 - 23*c - 35. Let m(g) = 6*g**2 + 23*g + 35. Let r(n) = 5*d(n) + 6*m(n). Let p be r(-22). Solve -z - 4*a + 13 = 2*z, 5*z - p = 2*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10012.\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/51 - 95*3\/(-414). Let c = s - -775\/322. Let v = 396\/7 + -975\/28. Calculate the common denominator of v and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 224 = 3*m, -m = -5*k - 86. Suppose -m = -2*l + 5*l - 4*g, -5*g = 5*l + 80. What is the second biggest value in -5, l, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 481667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -20535*r + 780399. Give y(38).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (-4 - -4) + 1 + (-39144)\/350. Are h and -102 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -62, -75, -106, -161, -246?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93564 + 93564 - 19*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h + 298. Let v be -2*((-6)\/1 + -5). Let d be q(v). Solve d*k - 4 = 8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:55 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2580125.\nAnswer: 5, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 + 9*p + 145 - 307 - 3*p**3 + p**3 to l*p + h*p**2 + a + q*p**3 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 148*d - 2592. Let c(k) = 2*k + 11*k + k - 16*k. Let i(w) = 2*c(w) + v(w). Solve i(z) = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9057 is divided by 604?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183.09938 - -0.03938. Let u = w - -183. Which is the third smallest value? (a) 16 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - 2757?\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175 divided by -1035?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*n - 12 = -0*n, 0 = a + 4*n + 23. Let i = 16 + a. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4, 2*w - 6*w - 104 = -4*i. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 44 = 36 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -c, 44 = -4*c - h + 18. Suppose d - 6*d = 0. Let y(m) = -1 - m**3 + 5*m + d*m**2 - 6*m - 6*m**2. What is y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-2)\/(-3 + 7). Let r be 10 + g + (2 - 4). Let y = -6 + r. Is 3 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -47*b + 1568. Let m be v(33). Solve -m*a + 5 = -22*a + 2*i, 0 = a - 3*i + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00181266988 rounded to 7 decimal places?\nAnswer: 0.0018127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3834, 4044, 4254, 4464?\nAnswer: 4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*n**2*x - 43*n**2 - n*x - 214*n - 9350206*x wrt n.\nAnswer: 20*n*x - 86*n - x - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*c - 3*z, 4*z - 13 = -c - 4*c. Suppose -2*i + 5*q = -3*i + 281, c*i = -4*q + 1510. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -753 - -755. Suppose -9*d + 288 = -7*d. Factor -108 + 22*t**3 + 18*t**3 + 0*t**4 + 216*t - 4*t**4 - d*t**o.\nAnswer: -4*(t - 3)**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/9))**(2\/9)\/(t**(20\/7)*t\/((t**(3\/4)\/t)\/t)) assuming t is positive.\nAnswer: t**(-11023\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3081)\/10 - (12 + -11) - 0. Let a = o - -309. Which is bigger: a or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.144 and 6410.\nAnswer: 6410.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12082491?\nAnswer: 3, 1342499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, n: 1, y: 3}. Give prob of picking 4 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487 = 2*f + 99. Suppose 3*c - 5*c = -f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -137, -264, -395, -530?\n\"Answer: -2*y**2 - 121*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(190) + sqrt(190) + sqrt(190))*-6 - sqrt(190))\/(sqrt(10) - -1*sqrt(90)) + (2 + sqrt(19) + 2 + 4*sqrt(2736) + sqrt(2736))**2.\nAnswer: 1933*sqrt(19)\/4 + 70715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + 101121?\nAnswer: 100322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4322, 8590, 12864, 17138, 21406?\nAnswer: 25662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.07316 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9180 and 2380?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 22*x + 88. Let s be v(-4). Solve 0 = 2*h - s + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cvcccacscvcccvcaccc.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100\/(-6)*(-90)\/(-30). Suppose -3*m - 411 = -138. Let l = m - p. Find the common denominator of -97\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3\/3 - a**2\/2 - 3*a + 5. Let u(m) = -2*m - 8. Let p = -13 - -7. Let r be u(p). Determine y(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, -1, -28, -2, -247, 5.\nAnswer: -247, -28, -18, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -467 (b) -6211 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 + 6*y**3 + (38*y + 249 - 249)*(0*y**2 + y**2 + 12*y**2).\nAnswer: 501*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 1071\/16. Calculate the common denominator of f and 23\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20*4)\/((-90)\/(-36))*130.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -686893\/149 + 4610. Let r = 176\/1341 + l. Factor 5\/9*o + 2\/9*o**2 - 2\/3*o**3 + r*o**4 - 1\/3 + 1\/9*o**5.\nAnswer: (o - 1)**3*(o + 1)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 + 1. Suppose -2*w - 20*l = -16*l - 18, -5*w = -l + 21. Let y(j) = -2*j**2 - 1. What is w*k(f) - 7*y(f)?\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 18*d + 40. Let u be a(15). Let q(f) = f**2 - 7*f - 10. Let y be q(8). What is the third biggest value in u, 4, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/21 - 6508*x**5\/35 + 1762580*x**4\/7 - 844456224*x**3\/7 - 5109143472*x**2\/7 - 10246592448*x\/7 + 1910. Factor l(q).\nAnswer: 2*(q - 1086)**3*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -22.2782.\nAnswer: 21.7782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = i - 8, -5*i - 2*o + 12 = -1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((-88)\/11)*(-1)\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273245 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose -5*n + 4*n + 24 = 0. Let s be -2*(-3)\/n*-2. What is the nearest to 2\/7 in 0.3, w, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3027640 and 80.\nAnswer: 6055280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3\/2 + 522875*r**2\/4 - 108931*r - 87145\/4 = 0?\nAnswer: -1\/6, 1, 87145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 11*m - 3*m**2 + 29*m**3 + 23 + 36*m - 45*m as k + y*m + s*m**2 + t*m**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 6*f - 33, 3*g + 1011*f = 1021*f - 47 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53926 is divided by 513?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -2, -13, 5, 2, -5 in increasing order.\nAnswer: -13, -5, -2, 2, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 17*q - 18*q + 58*q = 4*d, -2*d + 6*d + 14*d - 54 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 + 283*q**2 + 1193*q - 95275. Determine v(95).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -1)\/((-7)\/14). Suppose 0 = -p + v + 14 + 4, -y*v = 5*p - 72. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*n - 4*j, 2*n + 3*j + 145 = 125. Suppose n + 2\/7*y**3 + 114\/7*y + 60\/7*y**2 = 0. Calculate y.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (6 + -7 - 3 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 77. List the prime factors of j(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 + 3918*x**4 + 59088*x**3 - 365906*x**2 + 538881*x - 235980 = 0. What is x?\nAnswer: -20, 1, 3, 3933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 8*m + 8. Let i be w(7). Let p be (43 + i)*33\/18. Let b = p - 80. Is b less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 + 8185 = -585*t - 4492 + 566 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44027767?\nAnswer: 7, 47, 163, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 + 5. Let x(o) = -o**3 + 3*o**2 + o + 1. Let i = -12 - -14. Let s be x(i). Which is the smallest value? (a) m (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 - (-10 + 17 - (4 - -4))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 - 123. Suppose -4*b = 5*x - z, 3*b + b = 3*x + 21. Solve -3*s = 2*a - b*s - 22, 0 = -3*a + 2*s + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 50 + 10 = -3*i, -5*j + 2*i = -75. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 60. Which is smaller: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3311 (base 4) in base 9?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 2*sqrt(77)*-4)*4)\/(-4*(sqrt(396) + -2*sqrt(396))).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714217, -1428443, -2142673, -2856907?\nAnswer: -3571145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - b + 10 = 0, -k + 5*b + 25 = b. Suppose -111 - 104 = -k*u. Let q = 1 - -14. Calculate the remainder when u is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + 1 + (sqrt(1300) + -1 + sqrt(1300))**2) + 2.\nAnswer: -40*sqrt(13) + 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -108, -248, -444?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27103547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280 a factor of 77245440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3 - 3)*(3 - 3 + m) + (-2 + 0 + 3)*(-40*m**2 + 428*m**2 + 279*m**2).\nAnswer: 668*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*t = -381*t - 342. Let a = t - 341. Solve 0 = -2*f - p + a, -2*f - 5 = 3*f - 5*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*19057.872.\nAnswer: -7623.1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 = 48155*y - 48123*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2 - 2068*w + 152691. Determine n(145).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -4\/3, 4, 0.4.\nAnswer: -91, -4\/3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 5*g. Suppose -4*p + 0 = -20. Let a(x) = -6*x**2 - 5*x - 14*x + p*x. What is 5*a(h) - 14*w(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 5 (b) -3\/2 (c) -11172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307 + 1017. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6514 - 6400. Solve 15*f = -c + 54 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*j + 23 = 6, 2 = 4*y - 2*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1450383, 1450385, 1450387?\n\"Answer: 2*h + 1450381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -16, 5, 64, 173, 344, 589, 920?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 21*p - 18*p. Does 3 divide 1*25\/p*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 2. Suppose f*h + 57 = -47. Let p = -24 - h. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 68\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3161 and -22\/545.\nAnswer: 15805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109*i**2 + 331 - 331)*(-211 + 211 - 2*i)*(0 - 1 + 0) in the form m*i**2 + g*i + k + a*i**3 and give a.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 31*n - 196. Give q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 4670432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3829)\/49 + 0\/(-1). Let l = m - -78. What is the smallest value in l, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*v - 279*v + 5*v.\nAnswer: -351*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329071040 by -341360.\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**4\/12 + r**3\/3 - 49*r**2\/2 + 30*r. Find the first derivative of m(s) wrt s.\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*c, 2*u - 3*c - 23 = -5. Suppose 0 = -u*g - 3. Let w(o) = -489*o**3 + o**2 - 1. Is w(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -541 + 541.447. What is y rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 15615 - 15531 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5713 (base 9) to base 14.\nAnswer: -177a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31337*i - 450 = 31427*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/sqrt(6)*1)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 77*m - 261 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24556 divided by 106\nAnswer: 12278\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 68. Let n be f(-10). Let c be 4\/n - (-1611)\/(-405). Which is smaller: -0.04 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y**2 + 7*y - 10. Let z(k) = k + 13*k**2 - k + 7*k - 11. Let r(w) = 4*a(w) - 3*z(w). Let n(h) = 5*h**2 + 4*h - 4. Calculate 7*n(c) - 4*r(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13)\/((-702)\/(-4))*(3 - (-637)\/(-28)) and 25\/4818.\nAnswer: 43362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6.8 (b) -841 (c) -1\/11 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.868 minus 0.602225504?\nAnswer: -230.470225504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -9. Let d = 12 + k. Suppose 0*y + 24 = d*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 5*w**2 - 74 + 25 + 31.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 881200 by 58.\nAnswer: 440600\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o**5\/3 + 2887*o**4\/6 - 78131*o**3\/2 - 1620240*o**2 - 21888*o = 0 for o.\nAnswer: -48, -1\/74, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + w + 9. Let u(v) = -v**2 - 2. Determine -3*k(z) - 12*u(z).\nAnswer: -3*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -3 (c) -2.59 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 7*l + 3. Let q be r(-6). Suppose 2*n - 12 = -5*k, -5*k + 8*n = 3*n - 5. Let x be (3 - 1)*k\/(-4). Put x, 2, q in descending order.\nAnswer: 2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, n: 4, o: 1, z: 1, x: 1, a: 1}. Give prob of sequence xzn.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 4. Let j be t(-4). Suppose 3*z + 4*b - 44 = j, -4*z - 2*b = -3*z - 16. Solve 3*c = 6*c + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6641, 13260, 19875, 26486?\n\"Answer: -2*d**2 + 6625*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 949 + -945. Which is the nearest to 0.02? (a) w (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-670)\/67*(-1)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000297878904 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r + 500 = 0. Suppose -38 = -2*y - r. Let l = 97 + y. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899044.2 years in millennia?\nAnswer: 899.0442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 13. Let y be p(11). Let r be (y\/(-2))\/((-4)\/12). Is 22\/1 - 0\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 19*k + 98. Calculate v(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3. Suppose -k - 9 = -3*f + 8, 0 = -2*k + 4*f - 24. Let m(u) be the third derivative of u**6\/40 - 8*u**2. What is k*a(b) - 3*m(b)?\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n + 31*n**2 - 4*n)*(-n**2 + 0*n**2 - 2*n**2) in the form z*n**4 + g*n**3 + p*n + s*n**2 + h and give z.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1286496 divided by -71472\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 95294.68 nanometers in centimeters?\nAnswer: 0.009529468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5, -3\/7, -2, -1\/22.\nAnswer: -2, -3\/7, -1\/22, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 21*z - 16*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -636.1 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 7. Let c(o) = -o + 2. Give -9*c(u) + 2*l(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(2\/3)))**(-1)\/(v**(-3)\/v**0)*(v**(-1\/2)\/v*v)**(-1\/44)*(v**(2\/3))**(2\/25) assuming v is positive.\nAnswer: v**(15827\/6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -50*y. Let o(i) = -121594*i**2 + 2. Determine o(n(g)).\nAnswer: -303985000*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/5 - 13*o**4\/5 + 6*o**3 - 2*o**2\/5 - 29*o\/5 + 3.\nAnswer: -(o - 1)**3*(o + 1)*(o + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -152*f - 771. Determine z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 19 = -b, 4*b - 5*p - 68 = 2*b. Find the second derivative of -35*y - 2*y**4 + 11*y**4 + b*y**4 - 6*y**4 wrt y.\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -20*s. Let a(m) = -11*m - 537. Calculate a(k(y)).\nAnswer: 220*y - 537","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 25. Suppose 5*p - 4*p = -3. Let i be ((-1)\/18)\/((-2)\/8). Which is the closest to -2? (a) o (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 30. Let w = b - 9. Suppose 2*l + w = 3*l. What is the lowest common multiple of l and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*16\/(-18)*3. Let f be 3\/6 + 4\/d. Suppose f = 4*b + 5*t - 291, 4*b = 3*b + 3*t + 94. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 19\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from uuuyruruuu?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 55, 81, 111, 151, 207?\n\"Answer: m**3 - 7*m**2 + 42*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*w = -91, -1791*r + 5*w + 49 = -1792*r. Suppose -39 = 2*d - 657. Calculate the least common multiple of r and d.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/19))*d*d\/((d*d\/((d*d\/(d**(2\/3)*d))\/d))\/d))\/(d\/(d\/d**(6\/17))*d*d**(-7)) assuming d is positive.\nAnswer: d**(5693\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111221201 (base 3) to base 5.\nAnswer: 11433321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -36.8. Let o = -0.26 + -15.74. Let i = 16 + o. Which is the smallest value? (a) i (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -21. Let v = s - -6. Let m = 10 + v. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 10*s - 9. Let g be t(11). Suppose 0 = -c + 2*z - 4*z - g, 13 = c - 3*z. Solve 0 = -6*m + c*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2 = -w, 4*w + 89 - 98 = -a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-10))\/(25 + (-2413)\/95).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1220022200?\nAnswer: 1220022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 288, 4, -5, 0 in descending order.\nAnswer: 288, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:43 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1595*a**4 + 1921*a**2 wrt a.\nAnswer: -38280*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20469162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*3 + 4 + 4 - ((2*(sqrt(1377) + -2*sqrt(1377)) + sqrt(1377) - sqrt(1377)) + (0 + sqrt(1377))*-6))**2.\nAnswer: 1392*sqrt(17) + 128737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835.27 weeks in days?\nAnswer: 12846.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111001100 - -11110111?\nAnswer: 1000011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 2605588147.\nAnswer: 2605588146.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*p - 105, 6 = -z - 7*p + 15. Factor -54*d**2 - z*d**3 - 12 + 56*d + 25\/4*d**4.\nAnswer: (d - 6)*(d + 2)*(5*d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*o - 169, -3*k - 4*o + 16 = -159. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 796 and 17711?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2 and 65\/1306.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.401471 centuries to months.\nAnswer: 2881.7652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 47, 76, 105, 134, 163?\n\"Answer: 29*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*g**4 + 8*g**2 - 3*g wrt g?\nAnswer: 4728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163170 - 33987149.\nAnswer: -33823979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + b**3 + 2 + 0 + (-4*b**2 + 0*b**2 + 6*b**2)*(-2*b - b + 5*b) - b**2 + b**2 + 3*b**3.\nAnswer: 5*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24688712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.09 minus 11324084?\nAnswer: -11324091.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 34 = -2*u + 7, -2*u = -4*w + 64. Calculate the common denominator of 46\/24 + -1 + 0 and w\/5*(-98)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20866.65988 to the nearest integer.\nAnswer: -20867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(48) + -5 + -2 + sqrt(48) + (sqrt(48) - (sqrt(48) + (3*sqrt(48))**2)) + 5 + -5).\nAnswer: -1317 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38722.151678 - -38718.85. Let v = n - -1.741552. Let z = -1.56 - v. What is z rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (30 - (-31 - -69)) - -54.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52733.199 + 45806.\nAnswer: -6927.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/240 and -19\/36?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1566, -1568, -1570, -1572?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**2 + 14*h**2 + 4*h**3 - 33*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 23*u + 5 + 41*u - 66*u. Suppose -t + 6 = t. Suppose -3*s - s + 2*g = -10, 3*s + t*g = 30. Calculate k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 128*p + 223. Let s be (-114)\/(-30) + (-5)\/(-25). What is the units digit of v(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21683 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: Let d = 39473.342 + -39515. Let b = d - 0.242. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9168457*a + 4626851 wrt a?\nAnswer: 9168457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 20189, 27, 3 in descending order.\nAnswer: 20189, 27, 3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 95 + 2*b**3 + b**4 - 92 - 2*b - 3*b**3 to the form n*b**2 + q*b**3 + l*b**4 + f*b + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3 + 10)*(-3*u + u + 6*u)*(0 + 0 - u**2) in the form n*u**3 + p + r*u + a*u**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*f - 97*f + 3. Let g = 37 - 110\/3. What is the closest to f in g, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**3 - 2*s**2 + 2*s**2)*(490*s - 148*s - 8*s + 209*s) to the form g + h*s + z*s**3 + u*s**2 + k*s**4 and give k.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1781 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 36 = 4*w, -3*r + 11 = -5*w - 16 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.978 + -0.022. Which is bigger: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280343\/(-2762) + 12\/(-24)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 773217306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-88) - (-68)\/(-11). Let v(u) = u. Let s be v(3). List the prime factors of -2 - o\/s - -12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 191?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*j - 135*j - 324 = 0. Suppose 10997 = -j*b + 39644. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**2 + 13*v**2 - 26*v + 26*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let z be ((-96)\/x)\/(9\/(-2)). Is z at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*46205\nAnswer: -970305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 8. Let t(j) = 7*j + 39. Let s be t(-6). Let w = s + h. Solve -6 + 16 = 3*x - 2*c, 5*x - 15 = w*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034063739 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - d - 3. Let w(f) = -9*f**2 - 3*f - 10. Let l(r) = -7*v(r) + 2*w(r). Let b(a) = 3*a**2 + 1. Give 3*b(m) - 2*l(m).\nAnswer: 3*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 - o**2 + o**2 + (-2*o + 2*o - 6*o)*(0*o - 3*o + 4*o))*(6 + 3 - 3)*(o - 3*o - 12*o) to the form v + n*o**2 + c*o + k*o**3 and give k.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70 + 2b3?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**2. Let z(c) = 34745237*c. Determine r(z(h)).\nAnswer: -13279546436047859*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -87*t**2 + 0*t + 0*t**3 - 67\/120*t**6 + 1\/60*t**5 + 0 - 5\/24*t**4. Find the third derivative of n(b) wrt b.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3057 + 4307. Suppose 4*c + 5*q - 1690 = 0, 3*c - q - 4*q = v. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 17*a - 970. Let p be b(64). Solve 21*v + 50 = -p for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 229*n**2 - 1 - 31*n**2 - 2 - 91*n**2 to c + i*n**2 + u*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -28 (b) -3 (c) 2.82 (d) -1\/4 (e) 8 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 0)*3 - (3*sqrt(2)*-2*5)**2.\nAnswer: -1800 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 208, 354, 552, 820, 1176, 1638, 2224?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 2}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-8 + 11 - -13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1*(-12)\/8)\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33010, 62034, 91058, 120082, 149106?\n\"Answer: 29024*q + 3986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6681191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102178037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 81 + 5. Let q(u) = 36*u + 1. Suppose 2*x + 2 = 4. What is the remainder when q(x) is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 14*b - 18 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (23 + -1) - (5 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:53 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11790, 11789, 11792, 11799, 11810?\nAnswer: 11825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(98) - (sqrt(98) + sqrt(98)*1 + sqrt(98) + -4))**2 + -5) + (-1 + (sqrt(242) + 1 + sqrt(242) + sqrt(242))**2)*2 + -1.\nAnswer: -540*sqrt(2) + 6773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohontotcptoop. What is prob of sequence nhp?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/2 + 1116*g**4 + 8891*g**3 - 11124*g**2 - 17783*g\/2 + 10008 = 0. What is g?\nAnswer: -2224, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13182399 = 5*u + 817601. Round u to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16605486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121409957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from cfeuufp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 566 + -456.6. Let v = 60.5 - s. Let u = -51 - v. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2388 - -2385. Let a = 0.07 + -0.37. Let v = -0.7 + a. What is the biggest value in 0.2, v, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4*a. Let k be y(4). Let z(i) = -i**2 + 12*i + 33. Let o be z(14). Suppose k = -o*b - 10. What is the second biggest value in -0.5, -3\/2, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 19*t - 18. Let w be m(18). Suppose 0 = 2*y + n + 6, -y - 1 = -5*n - 9. Sort 1, y, -1, w.\nAnswer: y, -1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 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: Three letters picked without replacement from nbtbuhu. Give prob of picking 1 t, 1 h, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1587.792 tonnes to nanograms.\nAnswer: 1587792000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -397.5 - -397. Let r = 2 - 5. Which is the closest to 0? (a) n (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:52 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 10*n**2\/3 - 13*n + 60.\nAnswer: (n - 12)*(n - 3)*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361531.\nAnswer: 361531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813724 to the power of 1\/2, to the nearest integer?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 703439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 4, c: 1, g: 1, l: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1524 and 118364?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*x - 39*x + 251*x**2 - 30*x - 22*x**2.\nAnswer: 229*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, 2\/7, -1, 5 in decreasing order.\nAnswer: 5, 2\/7, 1\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 4709750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 119 - 108. Sort 2, 4, 16, j.\nAnswer: j, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5384 = -5*i + 5358, -5*i = 5*o - 55 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3485*k**4 + k**3*q**2 - 7*k**3*q + 23636*k**2 + q**2 wrt k?\nAnswer: -83640*k + 6*q**2 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 + 555*a - 2216 = 0.\nAnswer: 4, 2216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s. Let o(y) be the third derivative of y**5\/60 - y**4\/24 - y**3\/2 + 4*y**2. Let c be o(s). Put 0, c, -1 in decreasing order.\nAnswer: 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/(-7))\/((-24)\/84).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12653 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.9 + 8. Let n be (1 - 0)*(1 - 6). Let u be (-4 - n) + 1\/(-4). What is the closest to p in u, 3\/8, -2\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -72*w**2 - w. Let i be l(-1). Let x = i + 7. What is the units digit of 4\/18 + x\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 72 + 152 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 1522 = -5458. Let d = 43 - v. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 u when four letters picked without replacement from zuzuzzuzzzuzuuuz?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.26. What is the closest to 1 in m, 5, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29826975 by 3.\nAnswer: -9942325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 771 + -412. Is s\/2 - (-6)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 10:49 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 2*k - 2143, 5*z = 10*z - 3*k - 1526. Which is greater: z or 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.1, 1, 4102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*c + 33 = 0, -3*c - 10 = -1. Let d be -12 - -36 - 9 - -61. Let p = g + d. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -187?\nAnswer: 5\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-24)*27 - 6. Put -4, -40, m in descending order.\nAnswer: m, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than or equal to -10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, -12, -51, -104?\n\"Answer: -7*k**2 - 4*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**3 + 5*u - 5*u + (3 - 2*u**2 - 3)*(3*u - 2*u - 3*u) - 4*u**3 + 2824 - 2824.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 - -388. Does 36 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/107? (a) 1 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862093718.\nAnswer: 2, 3, 34483217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 59. Let m = -8 - l. Suppose u + 3*p = 91 + m, 385 = 4*u - p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5648*m = -5494*m - 29 - 125 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18 - (-57)\/(-18)*6. What is the nearest to k in -2, -0.5, -0.3, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10335?\nAnswer: 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -2\/17, -0.5, 135403.\nAnswer: -4\/5, -0.5, -2\/17, 135403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/70*35100\/(-936)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -12*p**3 + 7*p**2 - 7. What is the second derivative of z(l) wrt l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246062747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {o: 5, v: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)*f\/f**(3\/2)*((f*f\/(f**(-6)*f*f)*f*f)\/f)\/((f*f**8)\/f*f))**(-11\/3))**(-15) assuming f is positive.\nAnswer: f**(-715\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74376 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bf1 + -15a?\nAnswer: 1a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.2 (c) -0.3 (d) 0.031 (e) -1\/16 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.172591 millilitres?\nAnswer: 0.008172591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 40 = r. Let y be 2\/((-6)\/3) - -3. What is the units digit of 10\/8 + y\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35530)\/(-198))\/17 + -10 + -1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 687 and 30?\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2676*h + 2676*h - 170*h**2)*(-2*h - 2 + 2)*(-3*h - 3*h + 4*h) as f*h + u*h**4 + k + w*h**2 + r*h**3 and give u.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 1. Let r be o(2). Let k = -2543\/3 - -848. Which is the closest to -1? (a) k (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 1852 = -264*q. Calculate the remainder when 365 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Let u = 2884 + -2884. Which is the closest to -0.2? (a) m (b) -8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*z = 16, 0 = -111*s + 109*s + 3*z + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3011 - 751 = 0. Let n be (r\/6)\/((-18)\/(-27)). What are the prime factors of n\/(-5) - (-2)\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96871?\nAnswer: 73, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(114)*6 + sqrt(114) - (sqrt(114) - (sqrt(114) + (sqrt(114) - 2*sqrt(114))))*5))\/(sqrt(216)*-4 + sqrt(6) + 1*sqrt(24)))**2.\nAnswer: 304\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z = 19*z + 248. Solve -z + 33 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.844 - 366.844. Let n = w - -366.2. What is the closest to 7\/5 in n, 3, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 = -3*g, 3*p = 3*g - g + 76. Suppose p = -4*y - 2*y. Let r be (-12)\/y*5\/3. Solve 15 = -2*o + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 504. Is (-1)\/(f\/165 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 1876*v + 3754.\nAnswer: -(v - 2)*(v + 3754)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - -114. Suppose 69 = 2*b - a. Let o = b + -71. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.076\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*d**2 - 2 + 2 to the form c*d + z*d**2 + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1452\/(-484) + 2\/((-222)\/(-117)). What is the third smallest value in k, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(5 + 1 + sqrt(704) - -5*sqrt(704)*-1) + -3)**2.\nAnswer: -10560*sqrt(11) + 282692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 32\/24 + (29\/3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 5. Let v be g(0). Suppose -23 = -a - 5*b, -5*a + 94 = v*b - 121. Suppose 4*i + 18 = x, -4*x - x = i - a. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 932919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 210*v**3 + 3570*v**2 - 4*v - 73. Determine i(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1166 - 13574024?\nAnswer: -13572636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3284618\/93 - -35319. Let d = p + -6\/31. Let n be 7 - (2 + (-78)\/(-18)). Which is the nearest to n? (a) 4\/7 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38118296 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 132. Let q = 54 - x. Let r = -14 + q. Solve -4*i + 8 = -r*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-13)\/(z**4*z**(-1\/7)) assuming z is positive.\nAnswer: z**(-118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -2. Let o = -0.8 + b. Round o to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -0.12. Let r = -0.18 + g. Let k = 2 + -4. Which is the closest to r? (a) 3 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0.051, -0.3, 0.2 in decreasing order.\nAnswer: 3\/5, 0.2, 0.051, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11\/3))**(27\/7) assuming j is positive.\nAnswer: j**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + 0*i**3 - i**3 + 4*i**2 + 4. Let l(b) = -b**2 - 7*b - 9. Let n be l(-6). What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from laxagccg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1375\/18209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.5 - 0.5. Let j = v + -6.2. Which is the nearest to j? (a) -0.3 (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o**3 - o**2 + 1. Let q be h(-1). Suppose -4*g - 34 = -2*r, -q = -3*r + 3*g + 30. What is the remainder when 4\/18 - 896\/(-18) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-33) - 136\/1232. Sort -4, t, 3\/4, -5 in decreasing order.\nAnswer: 3\/4, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a07 - 5?\nAnswer: a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 0, -1 in descending order.\nAnswer: 7, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -37*x**5\/20 - 13*x**4\/12 + 2*x + 48. What is the third derivative of q(m) wrt m?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-94)\/(-18) - (-4)\/(-18). Suppose 17*p - 12*p - 540 = 0. Suppose 0 = m*z - 383 + p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163165 is divided by 32612.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:19 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*d - 4*d. Suppose 0 = d*n - 13*n + 6. Suppose -17 = -3*s - 2*p, 0*s = -s - 2*p + 7. Sort 0, n, -5, s in ascending order.\nAnswer: -5, 0, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3138 and -3194 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {y: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 38*w = -4. Is 7 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-6)*2\/(-2). Suppose u*p - 3 = p. Suppose 24 = p*c - 2*x, c - 4*x - 19 = -7*x. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o. Let m = o - -4. Suppose -8 = 3*q + m*u, -5*q + 3*u = -0*q - 6. Solve q*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99681 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1c4?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*t + 28*t - 1512. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419864 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-680)\/(-1980)*-22*(-9)\/(-2)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2128, -16942, -57192, -135604, -264904, -457818?\n\"Answer: -2121*m**3 + 8*m**2 + 9*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) -9\/5 (c) -2\/3 (d) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/12 - 4*d**3 - 64*d**2 + 3*d - 10. Calculate the remainder when 197 is divided by q(30).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 43. Factor -36*x**2 + 14*x**2 + 6*x - 33*x**2 + 44*x + 5*x**y.\nAnswer: 5*x*(x - 10)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15450*n**2*s**3 - n**2 + 6*n*s**3 - 2262*n*s**2 wrt n.\nAnswer: 30900*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*v = 67, 3*k - 51 = -v + 4*v. Let g be 2*-1*(-513)\/6. Calculate the highest common factor of k and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109.94 - -110.24. Let h = 19 + -18.5. Which is the closest to -17? (a) 0.2 (b) w (c) h (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6248456 and -3034386.\nAnswer: -9282842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -194340, -388680, -583020, -777360, -971700?\n\"Answer: -194340*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(304)*2)*5.\nAnswer: -7 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 14.\nAnswer: -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 11. Let s be a(5). Let b be s\/((-92)\/24 + 4). Are 1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 71*f + 66*f - 206*f + 65*f.\nAnswer: -4*f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**3*r**7*(r\/r**1)**(-17\/3) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 277 in 2\/11, 1\/3, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 2. Let z(i) = -2 + 3*i - 4*i + 1. Let s = -11 + 15. Let h(r) = 2*r + 2. Let v(f) = s*h(f) + 7*z(f). Give -5*a(b) - 8*v(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtt when three letters picked without replacement from swtwqmmwmwwt?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + (-14)\/(-6). Suppose -7 = g - 5*j - 2, 2*j = 2*g - 22. Suppose 2*u = v + 7, 0 = 2*u + 2*u - b*v - g. Solve -3*s + u = -6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5671\/21 - -1609\/6. Find the common denominator of b and ((-3)\/(-84))\/(3 - 7887\/2596).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y + 6. Suppose 0*k = -5*k - 30. Let h = 8 + k. Let p = h - 8. Let w(n) = -8*n - 7. Determine p*f(u) - 5*w(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1423 and -94.16.\nAnswer: 1328.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**33*u*u\/u**(-34)*u*u)\/((u\/u**(-1\/41))\/(u\/((u*u\/(u\/u**8*u))\/u))) assuming u is positive.\nAnswer: u**(2664\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 500*w**3 - 8*w**2 - 5*w + 18. What are the prime factors of d(2)?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 304239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*v - 32 = 0, -5*m - 21*v - 20 = -26*v. Sort m, -3, 50, 1, -2 in decreasing order.\nAnswer: 50, m, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.17 + 2.24. Let v = -0.43 + 0.5. Let z = v - f. Which is the biggest value? (a) 3 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 - 8*u - 6. Let n be f(-7). Let t = -570509\/11466 - 27\/1274. Let i = t + n. What is the third biggest value in i, 1\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 738465060 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-24))\/(-3 - -4) - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512134 a multiple of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 24, 11, -46, -4, 4 in ascending order.\nAnswer: -46, -4, 2, 4, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/10 (b) -7 (c) 285 (d) -1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*a + 1137 = 9*a - 4399 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248736678.\nAnswer: 2, 3, 41456113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8987 = v + 2*b, -4410 - 22584 = 3*v - 5*b. Let l = -4672 - v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*n**4*v - n**3 - 19*n**2*v + 81430*v with respect to n.\nAnswer: 360*n**3*v - 3*n**2 - 38*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-2 - (-12 + -1 + -5 + 13))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*k = 0. Suppose g - 28 + 7 = k. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0.1, -22\/5, 528.619 in descending order.\nAnswer: 528.619, 5, 0.1, -2, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + f + 12 = -f, 4*f + 20 = -4*v. Let m be (4 + -1)*(v + 7). Solve -4*s = -s + m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 402, -4, 4 in descending order.\nAnswer: 402, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x**2 - 7*x - 2. Let n be g(4). Let a be (-314)\/471 - -1*n\/3. Calculate the greatest common factor of a and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z. Suppose -7*i + 4*n = -4*i + 11, 4*i = n + 7. Let p(k) = -11*k. Determine i*p(a) - 4*q(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -605457.\nAnswer: 1\/605457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20998 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 30447.66ms?\nAnswer: 30447660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -372915?\nAnswer: -372918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7590 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(177420\/(-2610) - -68).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-3*w + 6 - 2 + 5*w).\nAnswer: 4*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + sqrt(175) + 5*(sqrt(175) + 1) + sqrt(175))**2.\nAnswer: 8576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 at most as big as -17905\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/5 - -23)*(-22)\/(-6) - 74\/555.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394*j + 101*j - 216*j + 191*j)*(190*j - 7*j**3 - j**2 - 190*j).\nAnswer: -3290*j**4 - 470*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330888056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - 213133?\nAnswer: -220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-342)\/(-704) + (-3624)\/115968\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17064 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 1. Let p(j) = j**2 + 5*j - 1. Determine -3*l(a) + p(a).\nAnswer: -2*a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 8. Let w be d(5). Let x(p) = p**2 - 7*p + 3. Let b(f) = f**2 - 7*f + 3. Let l(v) = -3*b(v) + 4*x(v). Let o be l(7). Solve -o*j = -0 - w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*i**2 + 37*i**5 + 2 - 21*i**5 - 2 + 3*i**3 - 13*i**5 - 5*i wrt i?\nAnswer: 180*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vnnnnnvvnnnnvvnnnvv?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.590973 + 0.06663.\nAnswer: -5.524343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3243614 and 6039?\nAnswer: 29192526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10723\/3 - -3548. Are s and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -152.000005825. What is c rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*f**4 + 57*f**3 + 6*f**2.\nAnswer: 3*f**2*(3*f + 2)*(8*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2740b06a - 4?\nAnswer: -2740b072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19135432.\nAnswer: 2, 19, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 6*i - 4. Let t be p(5). Let r be t + 2\/(-2)*-1. Let b be (r\/4)\/((-3)\/(-18)). Calculate the greatest common divisor of 27 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:11 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*r - 188 = -560 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n + 7*n + 7*n + (-12 + 6 - 7)*(2*n + 11 - 11).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -11*p + 14*p + 11, 4*p + 14 = m. Sort 12, -17, p in descending order.\nAnswer: 12, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 - 38. Suppose -3 = -3*t + 3. Suppose 3*b + c - 83 = t*c, -2*c + 2 = 0. Calculate the highest common factor of f and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) -4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 132\/33 + (-1)\/2*2. Suppose -2*t + p*t - 71 = -x, -3*x + 4*t = -199. Calculate the remainder when 551 is divided by x.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -8*n**2 + 0 + 0*n + 0*n**5 + 1\/15*n**7 + 0*n**3 + 13\/24*n**4 + 0*n**6. Find the second derivative of d(w) wrt w.\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 2*v**3 + 0*v + (4*v**2 - 4*v**2 + 2*v**3)*(-3 + 1 - 4) + (v**2 + 2*v**2 - 4*v**2)*(-v - 2*v + v) - 4*v**3 + 0*v**3 - 3*v**3.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 43*o**3 - 2*o**2 + 19*o - 21. Is q(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 858.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/u**3)**(-45)\/(u**(1\/3)*u*u*u\/((u**8*u)\/u))**1 assuming u is positive.\nAnswer: u**(-526\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -916 minus 0.2?\nAnswer: -916.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 66610916*m - 1 + 33305476*m + 1 + 33305462*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 23 + 90*w**2 - 5*w**2 to z*w**2 + o*w + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 - 6*s + 1. Let v = -20 + 24. Let x be i(v). Calculate the smallest common multiple of 3 and x\/10*8\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/6))**28*o*o*o**(-2\/3)*o\/(o*o*o*o*o*o\/((o\/(o**(-6\/11)*o))\/o)))**9 assuming o is positive.\nAnswer: o**(-870\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9184)\/3608)\/(2\/(-11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2. Let y(s) = -s**3 - s**2 - s. Let m be y(-2). Let w(b) = -b**2 - m + 6. Determine r(w(k)).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 - 3*x + 5. Let a be t(5). Let p be 4\/(-8) - 3\/2. What is the units digit of (-8)\/6*a\/p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/48 and 35\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 3)\/((-4)\/((-160)\/15)). Solve 5*l + 2 = -v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 + 5*k**2 - 7*k\/3 - 4.\nAnswer: (k - 1)*(k + 4)*(4*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29103105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n**(5\/3)*n)**(-1\/55)\/((n**(-1\/3)\/n)**(-28)*(n*n*n*(n*n**(-3))\/n*n)\/(n*n*(n\/n**(1\/6))\/n*n*n*n)) assuming n is positive.\nAnswer: n**(-11059\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 11*a**2 - 10*a + 4. Let z(f) = -f**3 + 7*f**2 - f - 3. Let r be z(7). Let k be p(r). Put -2, -5, k in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15416, -15424, -15434, -15446?\n\"Answer: -z**2 - 5*z - 15410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.35. Let l = 8144.6499996 + -8144.6. Let j = l - g. What is j rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-64)\/132)\/(-16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let w(d) = -5 + 5 - 12*d**2 + 10*d**2. What is w(f(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2558 + 20395\/8. Calculate the common denominator of p and 2\/7 + 3618\/(-1932).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 48 + 145 + -152 + 59.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -48. What is the nearest to n in 1\/4, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41807384821 and 0.21?\nAnswer: 41807384821.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose -19 + 58 = z*n. Suppose -3*q = -u + 5*u - 29, -4*q = 5*u - 36. Calculate the remainder when n is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times -0.02\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269351779.\nAnswer: 29, 43770751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121795 is divided by 1384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*n + 137*n + 86*n + 1 + 130*n.\nAnswer: 391*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.3. Let h(s) = -s - 1. Let r be h(-1). Suppose r = 10*m - 6*m. Which is the closest to m? (a) -3 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 + 2*o + 4. What is the tens digit of l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364093592?\nAnswer: 2, 3, 3251, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -900, -958, -1012, -1062, -1108?\n\"Answer: 2*v**2 - 64*v - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -408 + 191. Let b = n - -305. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13852*b**6 + 2*b**3 + 7*b**2 - 457*b - 1?\nAnswer: 1662240*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-49))\/(9\/42) + 31262\/(-686).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33408149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1906164.01 and 1070?\nAnswer: 1907234.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -9*z**4\/8 + z**3\/6 + 2*z**2. Let l be x(-1). What is the greatest common factor of 308 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by 6170\nAnswer: -131\/3085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -23. What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/6)\/(56\/126)*522.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -91*m**3 + 49*m**2 + 49. Let c(t) = 9*t**3 - 5*t**2 - 5. Let q(b) = -b**2 - 445*b - 2629. Let n be q(-6). Calculate n*x(o) + 49*c(o).\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 86*p + 176. Let x be s(-88). Which is the second smallest value? (a) x (b) 0.1 (c) -1\/4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 15 = 0. Let y(u) = u - 3. Let m be y(5). Suppose 4*b + 4*g - 32 = 4, 10 = 5*b - m*g. Solve -b + r = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164376511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 71435.\nAnswer: 3\/71435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 6.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 99*h**2 + 5*h**2 - 92*h**2 + 13*h**2 to the form l + w*h**2 + g*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a - 21*a + 6144 = -47*a. Which is greater: a or 2046?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -76*j - 1. Let t(x) = -151*x - 3. Give 5*i(a) - 2*t(a).\nAnswer: -78*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1451*t = -3717*t - 5659*t - 768725 for t.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 8*o + 4. Let l be w(-6). Let g(n) = -21*n - 24. Let t be g(l). Suppose -20 = -5*c, -4*c - t = -2*k - 0*k. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-4))\/(-3)*-4. Let m be 25\/((-6 + i)\/(0 + -3)). Is m less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22005492537697 and 3.\nAnswer: -22005492537694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-3)*(-5)\/2. Let m(d) = -d - 10*d + w*d**3 + 11 - 6*d**2 + 19*d**2. Let y be m(9). Round y to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 324, 0.5, -2\/61, -0.77?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5.3517 times 3619\nAnswer: 19367.8023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 8083 and -48\/361 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14295187*h + 67722671.\nAnswer: 14295187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-24))\/(3\/(-207)). Suppose 44 = 21*d - x*d. Is d\/33 + (-302)\/(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let n(d) = -5*d**2 + 7*d - 7. Suppose 2*h = -0*h + 14. Let z(k) = 3*k**2 - 4*k + 4. Let t(l) = h*z(l) + 4*n(l). Give t(g(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*o**3*z**2 - 2*o**3 + 10*o*z + 3563*z**2 wrt o.\nAnswer: 30*o**2*z**2 - 6*o**2 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/30 - 5*v**4\/24 - v**3\/2 - 2*v. Let o(j) be the second derivative of z(j). What is the first derivative of o(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1354*j**4*r**2 - 3*j**3*r**3 + 5456*r**3 - r**2 wrt j.\nAnswer: -5416*j**3*r**2 - 9*j**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11714 is divided by 213?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 y when four letters picked without replacement from ygyfyfbybb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -9. Suppose 4*y + 90 = w*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4522584 and 358567?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 8. Let i be f(8). Find the first derivative of 1 + 2*j**2 - 2 + 4 + i wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2 + 14. Suppose -865 = q*b - 9*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 43 (b) 0.1 (c) -2\/9 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26847?\nAnswer: 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664*h - 336 = -1672*h. What is the greatest common factor of h and 2562?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Let t(d) = -2*d + 16. Let h be t(7). What is the third derivative of 0*u**2 + 2*u**h - 3*u**4 - u**z + 0*u**4 wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (-1*sqrt(136) + sqrt(136))*1 - sqrt(136))\/(sqrt(8)*1*-4)*6*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552.4365 litres to millilitres.\nAnswer: 552436.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-6) + -4)*(-561)\/2. Let l = g + -138. Calculate the greatest common divisor of l and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 426319341934 and -1.\nAnswer: 426319341933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*s - 268 = 430*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 + 67?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*i - 515*i = 3*k + 145, -k + 5*i + 206 = 41 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 251040645?\nAnswer: -251040625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2762500 to the nearest ten thousand.\nAnswer: 2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(300) + 1)**2 + -3*(1*sqrt(300) + sqrt(300))*-1.\nAnswer: -6020 - 340*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -3*o - m + 219 - 160, 2*o - m + 23 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1741300 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -449 (b) -6\/73 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3557*v - 13578 = 3703*v for v.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 30*a**2 + 13*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.967 + 7087.567. What is u rounded to the nearest 10?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u - 600 = 534. Calculate the lowest common multiple of u and 91.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = -2*p. Which is the second smallest value? (a) 1 (b) 2 (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 4. Let f be (-1)\/u - (-282)\/14. Let k = -8 + f. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93002m in nanometers?\nAnswer: 930020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(153)) + sqrt(153) - ((1 + sqrt(17))*4 + -4).\nAnswer: 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 798366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 17643830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7330 - -7334. Put p, 5, -3, 0.3, -9\/4 in decreasing order.\nAnswer: 5, p, 0.3, -9\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:51 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3569 and 0.1?\nAnswer: 0.2569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.058 + -5.458. Round k to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:46 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1205 = -5*w, 0 = -g - 2*w + 167 + 118. List the prime factors of g.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 7. Let c be z(6). Is 2\/7 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose -6 = -w*c + c. Suppose -52 = -4*t - c*j, -2*j = 4*t - 5*j - 52. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -17\/3*i**3 + 0*i**2 - 15 + 5*i. What is the first derivative of k(l) wrt l?\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346915669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.2 (b) 0.1 (c) 188 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s - 3. Let t be d(-5). Suppose -28 = t*k - 31*k. Which is smaller: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9403791.\nAnswer: 3, 3134597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3095593 or -3095594?\nAnswer: -3095593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 27. Let x(s) = -2*s. Calculate f(x(o)).\nAnswer: -4*o - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*y + 1285 - 511 = -531 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1315700 divided by 20\nAnswer: -65785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 45. Let f be k(-9). Let u = -1 + f. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 53. What is t(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/3*1)\/(80\/(-32))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(10)\/(sqrt(45) + sqrt(5)).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/3*(-3 - (-27)\/(-12)). Suppose -s = -4*d - 3*d. Suppose 2*q - d = 2. Solve -q*p + 2 = -4*u, 3*u = 3*p - 2 - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*n - 13. Sort n, 2, -5, 4.\nAnswer: -5, 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*t**3 + 330*t - 641*t + 311*t - 210*t**3.\nAnswer: -553*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 5. Let y(a) = 1. Let w(m) = -6*u(m) + 30*y(m). Let t(h) = 2*h**2. Calculate t(w(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7271296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 382 - 236. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074697 to 3 dps.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*p + 60. Let b = 6 + -2. Let v be 4\/(-8) + 6\/b. Solve -p*l + 4*c - 22 = 0, 3*c = -0*l - 4*l + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 9 + 1 = 0. Let z = b - -7. Solve -3*d + 3 = -3*l, 3*l + 10 = -z*d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -3, 1, -2 in decreasing order.\nAnswer: 5, 1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 17, f: 2}. Give prob of sequence ftt.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxdijb. What is prob of sequence idd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 7 - 10*k - 16*k as c + h*k and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/5 - 199118*t**2 + 3982384*t\/5 - 3982392\/5 = 0. Calculate t.\nAnswer: -497799, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h**(-5)\/h*h)\/h*h)*h)\/h)\/(h\/h**4))\/(h**3\/(h*h*h**(-8\/5)\/h*h)) assuming h is positive.\nAnswer: h**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7293, 8201, 9141, 10119, 11141, 12213, 13341, 14531?\n\"Answer: y**3 + 10*y**2 + 871*y + 6411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3184 = -5*u, 0*u + 4*u - 2549 = 3*n. Calculate the common denominator of (5\/(-60))\/((-5)\/u) and 5\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86, -85, -84, -83, -82?\n\"Answer: j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/(-159)*(-12)\/(-208).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let n be 14\/(-21) + 16\/6. Suppose 4*g - t - 59 = 0, -n*g - 3*t + 33 = g. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 2*f - 1074 = -1082, -4*r - 5*f + 3*f - 4 = -f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5, 206, -5, 5 in increasing order.\nAnswer: -5, 0.3, 2\/5, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1060 + 1835. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*4*(-31)\/124?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let j = -3.05 + 0.05. Let w be (-6)\/(-10) - 48\/105. Which is the closest to n? (a) j (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4158623 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-21)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/27 and 23\/2220?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12222664 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28464 is divided by 1350.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**3\/6 + 3*k**2\/2 - 3*k. Let y be w(-9). Let i be (-180)\/(-2)*20\/y. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 252. Suppose 31 - p = -7*d. Let n be 10*((-15)\/(-2) + -2). What is the highest common factor of n and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010306981 to 7 decimal places.\nAnswer: 0.0001031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001540279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -577, 2, -95 in increasing order.\nAnswer: -577, -95, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(-169 - -5). Let m = o - 8. Calculate the remainder when m is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 - 50*d - 10. Let q(z) = 2*z**2 - 5*z - 1. Let h(a) = g(a) - 10*q(a). Let x(b) = 25*b. Calculate x(h(l)).\nAnswer: -375*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 15*u**2 - 5*u + 164. Calculate c(-14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*1\/3*3. Solve 5 = -3*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ac04 (base 13) to base 8\nAnswer: -326165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 281*h**2 + 17*h - 60. What are the prime factors of s(3)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:01 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 223.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1472191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/15))\/a)\/a**(-33) assuming a is positive.\nAnswer: a**(497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 186 + 41\/3*p**3 - 12*p + 43\/4*p**4 - 18\/5*p**5 - 52*p**2. Solve j(f) = 0.\nAnswer: -3\/2, -1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 d, and 1 k when four letters picked without replacement from {l: 2, a: 3, m: 4, d: 2, k: 8, j: 1}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*h**2 + 2\/17*h**4 - 4\/17*h**3 + 0*h + 0.\nAnswer: 2*h**2*(h - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 26*a + 333. Determine s(35).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1147.352 - 2.352. Let r = -1142.041 + a. Let x = r - -0.041. Sort -0.4, 1\/6, 1, x in increasing order.\nAnswer: -0.4, 1\/6, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -75, -4, 4, -2, -3 in increasing order.\nAnswer: -75, -4, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1960a7 (base 12) to base 11.\nAnswer: -285060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a8d665d + 3?\nAnswer: 1a8d6662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 968*t**2. Let q(l) = l**2. Determine r(q(v)).\nAnswer: 968*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8650, 17311, 25972, 34633?\nAnswer: 43294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501530.4 seconds to weeks.\nAnswer: 0.82925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) 21 (c) -4 (d) -5\/2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(570) + (sqrt(570) - -2*(sqrt(570) + 2*sqrt(570))) - sqrt(570))\/sqrt(10))\/(sqrt(147) + (2*sqrt(147) - sqrt(147))*1).\nAnswer: -2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*d - 3. What is the units digit of (d\/6)\/(2\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-3\/11)*j*j\/j**7*((j\/j**(-2\/5))\/j)**13 assuming j is positive.\nAnswer: j**(51\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5325445 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 770 and 393778?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i + 51*i - 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2387\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2771 and -0.01.\nAnswer: -27.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 1. Let l(m) = -6. Let o(a) = l(a) + 5*n(a). Suppose -2*k - 8 = -h - 6*k, -3*h = 5*k - 3. Let f be 6*(16\/(-12))\/h. Calculate o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 6*g + 6. Let s(m) = -6*m**2 - 6*m - 6. Let w(o) = 5*s(o) + 6*v(o). Find the second derivative of w(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 12. Let h(g) = 3*g + 6 - 3 + 2*g**o + 0 + g**3. Is h(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 2*z + 3*z**5 - z**5 + (0*z**5 - z**5 - z**5)*(-4 + 2 + 3) + 36*z**3 + 6*z**5 - 36*z**3.\nAnswer: 8*z**5 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and (-187649)\/(-44) - (396\/(-48) + 9)?\nAnswer: 29848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**7\/105 - 353*l**4\/24 + 139*l**3 + 3*l**2 + 37*l. What is the first derivative of r(o) wrt o?\nAnswer: 8*o**3 - 353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8114 + -8066. Calculate the highest common divisor of 21 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oasqbbcaqaq. Give prob of picking 2 b and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 2*u**2 + 95. Let q(t) = t. Calculate o(q(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 + g**4\/8 + 2*g**3\/3 - 135*g**2. Give r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 75*w + 9. Let m be h(7). Suppose 6*d + m = 9*d. Suppose 3*b - 2 = d. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 + 3600*s**3 - 101932*s**2 + 781200*s - 682864 = 0.\nAnswer: 1, 14, 871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*l + 16 - 2, 5*r + 19 = 3*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -403?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111 + 58 + 27 - 71\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 + 3*p**4 - 3*p**4 + (p**3 - p**4 - p**3)*(-1 + 1 + 2*p) + (-2 + 0 + 4)*(-2*p**5 + 4*p**5 - p**5) + 2*p**5 - p + p.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 7. What is k(-30)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237.1 and 3407.\nAnswer: -807799.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.281 + 18.341. Which is the second smallest value? (a) l (b) -0.04 (c) 10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1435806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238688?\nAnswer: 2, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c = 302*c + 3600. Let u(f) = -f**3 - 10*f**2 - 3*f - 25. What is u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 66\/10. Suppose -4*r = -2*r - 14. Calculate the greatest common factor of h and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 113 = -2*o - 70 - 72, 543 = 47*b + 13*o for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 29, -0.2 in decreasing order.\nAnswer: 29, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/y)**(2\/19)*((y*y**(-1)*y)\/y)**(-6\/25)*(y**1\/(y*y**(-3)\/y))\/(y*y**1*y)**33 assuming y is positive.\nAnswer: y**(-9031\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 83. Let q be 1\/o - 182\/(-42). Let m = 7 + 18. Solve 4*i - j = m, q*i + 5*j + 5 = -0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 14. Let c be 2\/(-4)*n\/(-2)*4. Put -4\/3, c, 3\/5 in descending order.\nAnswer: c, 3\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 5 + 565*z**3 - 6*z + 10*z - 12*z**2 - 564*z**3 in the form q*z + i + m*z**3 + j*z**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*b*n**2*o + 1372555*b*n**2 - 812*b*n*o + b*n - 45*n**2*o with respect to o.\nAnswer: -13*b*n**2 - 812*b*n - 45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 5)\/10*6. What is the third smallest value in i, -45\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2376877 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Suppose 0*u = -a + 3*u + 19, 3*u = -5*a + 5. Let m be a - ((1 + -4)*2)\/(-2). Let v(j) = -6. Calculate m*v(q) - 2*g(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*t + 82*t = -80*t - 90*t + 1, 2*t = -3*p - 20 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7522984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.856116 times 64?\nAnswer: 1526.791424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5, 4 = 3*a - 2*u + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -11. Suppose -n = 2*d - 16, 10*d - p = -3*n + 5*d. Suppose 0 = -15*f + 327 + 168. What is the highest common divisor of n and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10324, -41311, -92976, -165331, -258388, -372159, -506656, -661891?\nAnswer: -837876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10715692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -10. What is the third biggest value in -3, -0.2, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -304.635 to 0 decimal places.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 + m + 2. Let b(j) = -j**3 + 9*j**2 - 15*j - 7. Let x be b(5). Suppose 21*y = 12*y + x. What is a(y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + f = -22, -5*f + 12159 = 8*o + 12227 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-30)*(-7)\/(-14). Which is the smallest value? (a) j (b) 1.9 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 - 5*i - 56. Let h(c) = -c**2 + c + 11. Let x(a) = 2*f(a) + 11*h(a). Let u = 9 - 9. Let p be x(u). Solve 2*l - p = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -21\/824 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 + 0)*(9 - 3 - 3*v**3 - 2).\nAnswer: -18*v**3 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698799635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 86830.25 meters?\nAnswer: 86830250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**5 + 25*n**5 + 53*n**5 + (-4*n + 4*n + n)*(0*n**4 + 3*n**4 + 0*n**4).\nAnswer: 88*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**4 - 3*d**3 - 13*d**2 + 5*d + 12. Let q(f) = 3*f**4 + 6*f**3 + 27*f**2 - 11*f - 25. Let a(g) = 5*k(g) + 2*q(g). Let a(z) = 0. Calculate z.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133440 and 72960?\nAnswer: 10141440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40358, -39070, -37782, -36494, -35206?\n\"Answer: 1288*m - 41646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 + 18*m**2 + 1. Let r(h) = 5*h**3 + 17*h**2 + 1. Let i(j) = -6*q(j) + 7*r(j). Calculate i(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = c. Let u = 5 + -2. Suppose -u = -g + 2. Solve -3*j - 3 = -o, -c*o + 3*j = 2 - g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 2*w + 3. Let g be k(0). Find m such that 4 + g*m + 3*m**4 - 3*m + 6*m - 6*m**3 - 7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 25 = w, 3*s + 3*w = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-24)*2)\/((-3)\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-14))\/(8\/(-56)) - -25. Let z(n) = 39*n - 27. Let h(w) = 3*w - 2. Give k*h(g) - 2*z(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 544 = 512. Put l, 15, -5 in increasing order.\nAnswer: l, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 - 9*t**3 - 28*t**3 + 40*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5018 and -16.52?\nAnswer: 5001.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4564*i**2*q**6 - i**2*q**2 + 721*q**2 wrt q.\nAnswer: 547680*i**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383113 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-18))\/((-2)\/51). Let b(k) = 5*k**3 + 10*k**2 + 2. Let c(r) = -14*r**3 - 29*r**2 - 6. Let j(q) = a*b(q) + 6*c(q). What is j(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1 + sqrt(180) - sqrt(180)) + 5 - (sqrt(180) + (sqrt(180) + (sqrt(180) + -1 + sqrt(180) - sqrt(180)))*3))**2.\nAnswer: -504*sqrt(5) + 6529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -183*w - 6. Let o(u) = 92*u + 3. Let k(i) = -3*n(i) - 5*o(i). What is the tens digit of k(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -7 (b) 144 (c) -1.02 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 11. Calculate u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64272806 rounded to the nearest 100000?\nAnswer: 64300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194\/21 - -60\/7. What is the nearest to -2 in 2, -14, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnnnmvmvmvuvvuunvv. Give prob of sequence nnvm.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 0.4 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 16, y: 2}. Give prob of picking 1 x and 1 y.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.02587\nAnswer: -0.36218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 - 28?\nAnswer: -28.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -1\/3, 14\/13, 4\/3?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29274 to 3 dps.\nAnswer: -0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1\/52, 3\/4 in descending order.\nAnswer: 3\/4, -1\/52, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfdkbdbh. What is prob of sequence fhbn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.97 - -7.87. Let r = 41.3 + -44. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*b + 8841 = 0, -3*b + 5900 = 19*t - 17*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4, -3*p + 5 = 2*i - 8*p. Which is the nearest to 1\/2? (a) 0.3 (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 45*q**2 - 16*q - 5487. Calculate p(-47).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*p + 85, -8 = 2*q + 5*p - 223. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnrnrrrnnr. Give prob of picking 1 n and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 10 = -5*c. Suppose 99 = v - 2*s, v - 3*v + c*s = -202. Suppose 2*a + 3*b = v, -3*b = -1 + 16. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5837 divided by 5396.\nAnswer: 5837\/5396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j + 117. Let z = -1 - -1. Suppose z = -2*q + 5*q - j. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 459410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*z + 22, o - 4*z - 6 = 9. Suppose 44*b - 278 = 118. Suppose -y = -b + o. Solve 4*c - 8 = y*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -421*y**7\/210 + y**6\/120 - 68*y**4 + 2*y**2 - 795. Find the second derivative of s(u) wrt u.\nAnswer: -5052*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -61*i**4\/12 + 35*i**3\/3 - 9*i**2 + 2*i. What is the thousands digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 25, 0, -4, 4, -1 in decreasing order.\nAnswer: 42, 25, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 217284.\nAnswer: 1\/54321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 43*m**3\/2 + 379*m**2\/2 + 4445*m. Calculate p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1794*q - 44857. Give d(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 246, 1177, 2730, 4905, 7702, 11121?\n\"Answer: 311*r**2 - 2*r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*l*p - l*r + 3*l + 155*p*r + 2*p wrt r?\nAnswer: -l + 155*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2241 + 2238. Sort -16, j, 2, -2, 7.\nAnswer: -16, j, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 6*h**3 + 15*h**2 - 15*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (2125\/(-17) - -55)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 263824.35 to the nearest one thousand.\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -18484, 0, -1, -3 in ascending order.\nAnswer: -18484, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9743, -9727, -9711, -9695?\n\"Answer: 16*d - 9759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(882)*-2)**2 + -2 + (sqrt(648) + 1 - (0 + sqrt(18) + -4)) + -4).\nAnswer: 60*sqrt(2) + 127004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*c = 334, -3*c + 11 + 158 = d. List the prime factors of d.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:43 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:29 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86.59 - -1.41. Let s = l - 76. Let m = -12 + s. Which is the smallest value? (a) 4 (b) m (c) 3\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*i + 4 + 4 - 3 - 3.\nAnswer: -736*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, r: 1, d: 1, e: 4, g: 4, u: 3}. Give prob of picking 1 e, 1 u, and 1 r.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/4 (c) 0.13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 704837\/4 + -42818867\/243. Calculate the common denominator of 161\/132 and g.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 44*k**3 + 993*k**2 + 540*k - 220. What is j(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yedydycddydyylddd. Give prob of sequence ly.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - -72. Let u = w + -109. What is the greatest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/3 - 5*g**3\/6 - 3*g**2 - 1374*g. What is i(-4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3822 and 130?\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + ((sqrt(704) - (sqrt(704) + 1)) + sqrt(704) - sqrt(704))**2 - -6*(sqrt(704)*-1 - sqrt(704)) - ((5*sqrt(704)*2 - sqrt(704))*-6)**2).\nAnswer: -2052868 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**3 - 12*l. Let s(m) = -2*m**3 + m**2. Give 2*s(v) - x(v).\nAnswer: v**3 + 2*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34\/541 + -22651\/9738. Calculate the common denominator of -47\/6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 9.4, 14.2, -4, 1\/9, 0.4?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45063936 by 9.\nAnswer: 5007104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 10. Let o be m(7). Suppose b = o*b - 48. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 4. Let v(o) = o**2 + 7*o + 6. Let h be v(t). Solve h = -3*p - 2*y - 3 - 4, 4*p + 11 = -3*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 10:24 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 16) to base 8\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30961\/341 + 1755\/31. Suppose 5*d = -5*n + 165, -d + 3*d - 3*n = 71. Let t = j + d. Sort -0.2, t, 2 in decreasing order.\nAnswer: 2, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2600\/13725 + 6\/(-27). Sort p, 1\/2, -2.\nAnswer: -2, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*((-204)\/(-12))\/17\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -0.05 (c) 3 (d) 0.1 (e) 0.0391\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8120.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 5*y - 5, 4*g - 5 = -8*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 + 151 = 3*k + t, k + 3*t = 273. Suppose -3*w = 2*w + 5. Let q be (1 - 2)\/(w\/23). What is the greatest common divisor of k and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 603532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:11 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.049405 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -345\/8*w + 81\/4 - 5\/8*w**3 - 37\/2*w**2.\nAnswer: -(w + 3)*(w + 27)*(5*w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:22 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6674263, 13348444, 20022625?\nAnswer: 26696806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 3, 0.2, -0.5, 0.022956, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Let v(q) be the first derivative of q**4\/8 - q**2\/2 - 1. Let r(m) be the second derivative of v(m). Calculate b(r(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905790.\nAnswer: 2, 3, 5, 7, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-91)\/(-39)) - 0\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 1. Let t be (-396)\/(-264) + 21\/6. Put t, u, -2, -5 in decreasing order.\nAnswer: u, t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260 - -280. Solve k + 4*k = f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeetteetet. Give prob of sequence tet.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.79 or -1?\nAnswer: -17.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*g - 8. What is the second derivative of -p**5 - g + 14 + 4*p wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1902.68629077 + 1991.6862904. Let s = 89 - y. What is s rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4.6. Suppose 3*o = -r - 10, -4*r + 18 = -3*o - 17. Which is the second biggest value? (a) 16 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0995259 rounded to three dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20632382 and -85\/18.\nAnswer: 185691438","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 77036711 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 5, -3, -4, -14 in decreasing order.\nAnswer: 41, 5, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 12:29 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r - 170. Let z be h(12). Solve 3*l + 5*q = 6*l - 10, -l = q + z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 3*f**2 + 2*f**3 - 13*f**3 to the form g*f**2 + a*f + k + z*f**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - -d7?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.268878 milligrams to grams.\nAnswer: 0.006268878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4822594, -9644989, -14467384?\n\"Answer: -4822395*r - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130132 (base 4) to base 12.\nAnswer: -107a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + -2 + 4)*-3. Let r(z) = -z - 1. Let c be r(-1). Suppose -s + j = -c*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 3*o + 69. Calculate the greatest common divisor of 168 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/2 + 4392*a + 577530 = 0.\nAnswer: -2790, -138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 9277703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2355*t**3 + 18*t + 337. Let g(d) = 4709*d**3 - 33*d - 675. Let o(x) = -6*g(x) - 11*y(x). Differentiate o(i) with respect to i.\nAnswer: -7047*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.68 and -901?\nAnswer: -612.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*x = -0*x - 327 + 321, -4*f = -4*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 919\/868?\nAnswer: 919\/868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 8*m - 45. Suppose 3809 = m*b + 4*y + 636, 5*b - 5281 = -3*y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3305098, -3305053, -3304978, -3304873?\nAnswer: -3304738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-105))\/(-3*(-8)\/336)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162)*-1)**2 + 6*(sqrt(162) + -2) + sqrt(162).\nAnswer: 63*sqrt(2) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193887488 and 4544238.\nAnswer: 581662464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o + 6, -2*o = -u + 2. Put -5, u, 3, 2 in ascending order.\nAnswer: -5, u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 10*q + 8. Let c be s(14). What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*i**4 - 68*d**2 + 7*d*i + 525*i**4 wrt i?\nAnswer: -12*d**2*i**2 + 6300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 598\/(-91) - (-2)\/(-1) - -9. What is the nearest to -2\/13 in -0.16, i, 10?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24531.67 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 5*n - 2*n**4 - 2 + 5*n - n**2 + n in the form j*n + f*n**2 + c*n**4 + l*n**3 + i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.34 + 0.04. Let t = -0.4 - x. Let v = -9.7 - -5.7. Which is the second smallest value? (a) 0.4 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(27)*1)\/(1*1*sqrt(81)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*m**2 - 22 + 25077*m - 12537*m - 12540*m + 22.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.33532um in kilometers?\nAnswer: 0.00000002033532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10561 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 + 5*p**3\/6 + 7*p**2\/2 + 6*p. Let y be m(-4). Solve -5*x = -3*q - 10*x - 6, 0 = 5*q + 4*x - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k**2 - 106718*k - 23 + 106718*k.\nAnswer: 58*k**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -35534?\nAnswer: 35533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 106\/1785 and 145\/1428.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - 3. Let u = k - -13. Calculate the common denominator of ((-26)\/(-3))\/(u\/15) and 62\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13249\/7 + -1899. Let f be 2\/22 - (7 + 10\/110). Is f at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9179*j**2 + 13*j + 75. Let u be t(-4). Suppose -11*b = -24*b + u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -21. Solve i + 10 = 3*y + 2, -4*y - o*i = -24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1697 = -135*q + 132*q, -4*k + 4456 = 8*q. Calculate the highest common divisor of 169 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7*((-2)\/7)\/(42\/105). Suppose -n - 1 = 4*q - 19, -r*q + 3*n = -31. Solve -k - q = c - 5*k, 0 = k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, t: 1, b: 7, r: 5, a: 1}. Give prob of sequence rt.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002393253 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17. Suppose w = 8*i - 6*i - 126. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 192?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -0.35. Let v = 6 - 8. Let d be 1 + ((-18)\/(-15))\/v. Which is the closest to d? (a) o (b) 3\/4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557 = -583*i + 9689 + 6907 - 3161 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40240 or -684086\/17?\nAnswer: -40240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*q + 20, -5*d - 12 = q + 2*q. Suppose 5*l + 42 - 12 = 0. Let k be ((-4)\/3)\/(2\/l). What is the closest to d in 1\/3, 1\/2, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/5 - 11*i**4\/12 + 83*i**3\/3 + 162*i. What is the second derivative of l(n) wrt n?\nAnswer: 24*n - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7716842359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let s(b) = -7*b + 3. Let n(z) = 6*i(z) + s(z). Let p be n(-9). Suppose 3*l = 2*j - 19, -j - p = -2*j - 2*l. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121676319 divided by 40197.\nAnswer: -3027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-3\/5)\/w)*w*w)\/w*w*w**(-8)*w*(w**(-3\/5)\/w)\/(w*(((w\/((w*w**10*w*w)\/w*w))\/w)\/w)\/w) assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. Suppose q*t + 17 = -w + 6*w, 5*t - 4*w = -11. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 38. Suppose -231 = s*b + 159. Let i = -49 - b. What is the second biggest value in -4\/5, i, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/((-4 + -1)\/5). Suppose 4*i + 1 - 11 = 2*v, i - w = -3*v. Sort v, -32, 1.\nAnswer: -32, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -4 (c) -46.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:49 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 0 + 18*l - 9\/2*l**3 - 27\/2*l**2 + 2\/3*l**5 + 8\/3*l**4 = 0?\nAnswer: -4, -3, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25039 + 25179. Suppose 2*y + 0*y + w - 111 = 0, 117 = 2*y - 5*w. Calculate the highest common divisor of h and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 160 = -104. Is -1 - (-1468)\/w - 8\/(-28) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19941732?\nAnswer: 2, 3, 359, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/7 (b) 1.9 (c) -0.3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 44*j = -226, -3*p = 3*p - 3*p - 2*p - 15*j + 35 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.646 + -0.076. Let r = -0.5 + c. Let s = -0.027 + r. What is s rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose 2*a - 18 + 7 = -p*s, 2*a - 2 = 0. Solve h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5643 = -24*i. Let l = 323 - i. Let k(q) = -3*q - 5. Calculate the remainder when l is divided by k(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 5. What is the greatest common divisor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = 19*r + 180. Solve r = -3*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -113, -220, -327, -434, -541, -648?\n\"Answer: -107*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7898098270 rounded to the nearest one million?\nAnswer: -7898000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 233, 419, 689, 1049?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(2\/(-6)*(-33)\/(-22)*81\/162)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -4\/127 (c) -78 (d) 0.45 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -1 + 0 + 2. Let v(w) = 2*w**2 - 4*w + 4. Let a(g) = g**2 - 3*g + 3. Let n(c) = o*v(c) - 4*a(c). Let f(k) = -4*k. Determine n(f(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Let b(o) = 501*o. Calculate g(b(q)).\nAnswer: -502002*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33756.5 take away 197?\nAnswer: 33559.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q - 15. Let f(k) = -3*k - 7. Calculate 13*f(y) - 6*v(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -w - 4*u, -4*w - 3*u + 71 - 113 = 0. Let i(k) = 8*k + k**3 + 8 + 2*k**2 + 5*k**2 + 2. What is i(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95059 times -61.49?\nAnswer: 5845177.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*q - 497, 0 = 4*q + b - 191 - 312. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*l - 327*l - 1580 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 2011. Let q(p) = 2*p - 8. Let x(j) = 10*j - 32. Let u(z) = -4*q(z) + x(z). Determine u(h(s)).\nAnswer: -4*s**2 - 4022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:42 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 0, -62, -1, -2, 3, -4 in descending order.\nAnswer: 3, 0, -1, -2, -4, -62, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -1\/338, -2, 1, -4 in ascending order.\nAnswer: -4, -2, -1\/338, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221020202120 - -1211?\nAnswer: 221020211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*72\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, -35\/3, 0.4, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - (-42)\/8. Let a(o) = -4*o**2 + u*o - 5*o. Let q(j) = 5*j. Let b(d) = 4*d. Let g(i) = -4*b(i) + 3*q(i). Calculate a(g(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -6367?\nAnswer: 6366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((2 - 13)\/(-1)) + 72252\/317196.\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -50*c**3 + 3*c**2 + 12*c + 39. Suppose 5 = 20*t + 65. Is 22 a factor of g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145231*b**3*s**3 + 4*b**3*s**2 - 12*b*s**2 + 953*b*s wrt s.\nAnswer: -871386*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*v**4 + 72\/5 + 36\/5*v**3 + 27*v**2 + 174\/5*v.\nAnswer: 3*(v + 1)**2*(v + 4)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 590042844 and 590042845 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*c - 2*c + 3*r, 0 = c - 3*r - 7. Let i be (c\/28)\/((-1)\/7). Solve -2*t + i = -0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*(x**(3\/13)*x)\/x))\/x)\/x)\/((x\/x**19)\/x))**(-1\/77) assuming x is positive.\nAnswer: x**(-218\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f**2 + 12*f - 12. Let j(w) = 3*w**2 + 5*w - 5. Let k(o) = -5*g(o) + 12*j(o). Let m(y) = -32*y**2. Give m(k(r)).\nAnswer: -512*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (26\/(-14))\/(26208\/(-2548)) and 85\/2088.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310670.\nAnswer: 2, 3, 5, 7, 13, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2e1b (base 15) to base 16\nAnswer: -26c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 1. Let a(w) = 12*w**2 + 2. Let p(h) = -a(h) + 2*y(h). Let c(t) = -t**2. Give c(p(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 216?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, -6, 5 in decreasing order.\nAnswer: 5, 3, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.2 (c) 0.4 (d) 6 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 8\/6) + 1. Let o = -3.18 - -4.18. Which is the third smallest value? (a) o (b) p (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 5*a**2 + 4*a. Let j be x(-4). Suppose j = -m + k + 4*k + 18, -3*m - 5*k = 6. What is the nearest to -0.1 in m, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 4. Let x be o(10). Suppose -x = -6*m + 3*m. Suppose m*y + 2*g = 48, g = -4*y + 4*g + 61. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1459 + -1455.6. What is the fourth biggest value in -2\/13, 1\/4, -2\/11, w, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 540, 808, 1072, 1332, 1588, 1840?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**6\/6 + 11*k**5\/20 - 7*k**4\/12 + 15*k**2\/2 + 223*k. Find the third derivative of n(j) wrt j.\nAnswer: -120*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10532527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**4 + 10*a**3 + 35*a**2 - 100*a + 60 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1539) + (sqrt(1539) - 4*sqrt(1539) - sqrt(1539)) + -5 + sqrt(1539))**2 + -1 + 0)*2.\nAnswer: -12360 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3700462, 1 in ascending order.\nAnswer: -3700462, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Let b(k) = -247*k. What is s(b(r))?\nAnswer: -61009*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21\/44 - -3\/11. Let o be (-6)\/9*(-6)\/(-14). Which is the third smallest value? (a) q (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*b**2 + 3*b**2 - 2*b**3)*(6 + 3 + 7) to the form x*b**2 + r + q*b + u*b**3 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - (25\/(-5) - -4). Sort n, -5, -2 in descending order.\nAnswer: -2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 10*a + 31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looolloloo. What is prob of picking 1 l and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*q + 17, 5*t - 2*q - 21 = -q. Solve 6 = -t*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/((-8)\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522 at least as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 11}. Give prob of picking 2 f.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 = 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/5 - 9*g**2\/5 = 0 for g.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + sqrt(2) + sqrt(8)\/(2*sqrt(4))).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37752960, 75505910, 113258860, 151011810?\nAnswer: 188764760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9225 rounded to 2 dps?\nAnswer: 3.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*m**4 - 2*m - 4*m**4 + m**4 + 6*m**4 + (-2*m + 3*m - 2*m)*(-14*m**3 + 6*m**3 + 6*m**3).\nAnswer: 2*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -318799, -637607, -956417, -1275229, -1594043?\n\"Answer: -t**2 - 318805*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 + 0*r**2 - r**2. Let u(f) = 234533 - f - 234533. What is u(g(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8724, 17439, 26142, 34833, 43512?\n\"Answer: -6*f**2 + 8733*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pelneeepellepnepe. Give prob of sequence nl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**3 - h - 1. Let i be v(-1). Let z = i - -12. Suppose -3*u - 6 = 0, 5*f = -z*u - u + 50. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/27 + (-3)\/(27\/(-317)). Solve 3*m + 4 = 5*u + 14, 2*u + f = -5*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 708 - 279 - 429 + 106*b**3.\nAnswer: 106*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231933*n**2 + 158585*n wrt n?\nAnswer: 463866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -40. Let p be (1 - 88)*145\/n. Let g = p - -398. Find the common denominator of 13 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (11 + -5 + -2 + -3) - (-2 - -98).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**3 + 31*v**3 + 3*v + 8*v**3 + 3*v**3 + 9*v**3.\nAnswer: 27*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -159 - (42\/8 - 5). Let r = 160 + m. Is r not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 + 8*w**2 + 136*w + 247. Calculate j(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**5 + 6916*l**4 + 148412*l**3 - 2470916*l**2 - 148408*l + 2464000 = 0.\nAnswer: -32, -1, 1, 11, 1750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-308)\/(-12) - 4 - 4)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81900 and 2905704?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.2, -4, -539, 0.5, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 5.843 and -23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68308\/2 + (-13 - -8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7213590?\nAnswer: 2, 3, 5, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 334736?\nAnswer: 2343152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d - 44. Let j(c) = c**2. Give r(j(h)).\nAnswer: 13*h**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -b + 63, 51 = -3*b + 4*b - 3*j. Let o = 50 - b. Let h(v) = -v**3 - 6*v**2 + 5*v - 2. What is h(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 127*t**3\/3 - 462*t**2 - 335*t. Find the first derivative of d(j) wrt j.\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 203*i**2 + 1617*i + 5. What is l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 9. Let f be o(4). Let k be ((-4)\/(-6))\/((-2)\/(-15)). Suppose 2*l + f*c = -c - 4, 4*c = k*l - 32. Sort l, 0, 1 in decreasing order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80814 is divided by 322.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -59*t**2 - 455*t + 457. What is d(1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480430 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19 + 670 + 588*c**2 + 596 wrt c?\nAnswer: 1176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/16)\/(3\/44). Suppose -19 + t = 3*h. Suppose -5*c + c = -2*g - 34, 21 = 2*c - 5*g. Calculate the highest common divisor of h and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984 a factor of 1274005760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -580 - 171. Let o = -136843.63 + 137590. Let g = z + o. What is g rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -8*f + 17. Solve -5*m = y + y + f, y - 20 = 4*m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -3*x - 26. Let h(p) = 45*p + 63 - 45*p - 63 - x*p**2. Let j(q) = 376*q. Determine j(h(c)).\nAnswer: -752*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-255)\/6))\/((-12)\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*a - 3 + 14*a + 1 + 2 - 3 as j + t*a and give t.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9) - (-42)\/(-9). Let i = 0 - u. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v + 66 = 0. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2648625 and 5297250.\nAnswer: 5297250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79576 divided by 812.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 96727375 divided by 19345475?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 10:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o**(-6\/7)))))\/(o\/o**(-12))*(o*o*(o\/(o\/(o*o**5)))\/o*o)**(11\/6) assuming o is positive.\nAnswer: o**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 475*w**2\/2 - 1045*w + 564. What is the first derivative of x(u) wrt u?\nAnswer: 475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - 4 - (2053 - 2110)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-12))\/((-8)\/(-3) - 2). Solve 5*z - i + 6 = 5*c, 4*z = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/120 - s**5\/4 + 7*s**4\/12 - 19*s**3\/6 + 52*s**2. Is j(-16) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-2) + -2)*-3*2. Let a be (h\/5)\/((-12341)\/(-12355) - 1). Let i = -2163\/2 + a. Find the common denominator of i and -37\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 2*h - 2. What is the remainder when 34 is divided by m(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63992671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -351\/5*y - 3\/5*y**2 - 1026\/5 = 0.\nAnswer: -114, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1. Let n(k) be the second derivative of -k**3\/6 - k**2 - 12*k. Let d(o) = 2*b(o) + n(o). Let i(u) = 3*u + 3*u + 5*u - 6*u. Give d(i(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -15\/14, 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*3\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + 2*sqrt(216))\/sqrt(8) + 1*sqrt(432) - (sqrt(81)\/sqrt(3)*-1 + sqrt(27)*-1*4))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 32*j - 13*j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43516 divided by -3956.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 = -5*s, -2*s - 8 = 5*a - 22. Suppose -2*m - a*j = -4, 3*j = 3*m + 2*m - 75. What is the second derivative of 15*u**2 - 8*u - 2*u**2 - m*u wrt u?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -151*d**4\/2 - 189*d**2\/2 + 53. Find the second derivative of o(y) wrt y.\nAnswer: -1812*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-2)*138\/2484.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + (6 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -10414, -1 in increasing order.\nAnswer: -10414, -221, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -3.\nAnswer: -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Let c = -689.56 - -675.5196. Let x = -0.0404 - c. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m*(m\/((m\/((m\/(m*m**7)*m*m)\/m))\/m))\/m*m)\/(m**(-2\/3)*m*m)**(-3)*((((m**(-7)\/m*m*m)\/m)\/m)\/(m**(-2)\/m))**(-3\/13) assuming m is positive.\nAnswer: m**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**17*x*x)*x*x**(-11)*x**(2\/25)*x*x*x\/x**(1\/10)*x assuming x is positive.\nAnswer: x**(-1201\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.442+-268.516\nAnswer: -268.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*c - 6, -4*c - 12 + 4 = -5*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j + 2. Let b(f) = 4*f + 3 - 2*f - 2 - 2. Determine -11*b(d) - 4*k(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6761319 from 130.\nAnswer: 6761449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**4 - 16*y**3 + 16*y**3 + (42*y**3 + 320*y**2 - 320*y**2)*(59 - 114 + 58 - 4*y) + 6*y**4 - y**4 - 3*y**4.\nAnswer: -173*y**4 + 126*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 29 = 29. Suppose 2*l - k - 976 = 0, b*l - 5*l + 2*k + 2441 = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 109*d**2 + d. Let n(q) = -3*q**2. What is y(n(v))?\nAnswer: 981*v**4 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -2 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.045427 + 0.454573. Suppose 5*v = 5*i + 5, 3*i - 5*v + 4 = 3. Which is the nearest to -3\/7? (a) i (b) m (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 119*u**2 - 528*u + 726. Let k(o) = 25*o**3 - 1425*o**2 + 6335*o - 8710. Let s(p) = 3*k(p) + 35*m(p). What is x in s(x) = 0?\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-30) - 69\/(-15). Let c(o) = 2*o + p*o + 4 - 6*o. Give c(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 3*u**3 + 61 + 2*u**3 - 60)*(0 - 3 + 5).\nAnswer: -2*u**3 - 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5962 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 657*n - 18816. Give r(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 12*c**2 + 10*c + 6. Let t be u(-8). Suppose 5*k = 4*p + 3*k - t, -5*k = 2*p - 61. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904 and 66?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 + 257892*s**2 - 1031536*s = 0.\nAnswer: 0, 4, 128942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29853, 59969, 90085?\n\"Answer: 30116*y - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -9096\nAnswer: 1\/1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.3 + 32.6. Let t = 3.4 + 0.6. Which is the second biggest value? (a) 1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - -2547?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*h**2*q*t + 6010*h**2*q - 1718754*h**2*t**3*u + q*t**3*u + q*t**3 wrt u.\nAnswer: -1718754*h**2*t**3 + q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 19*w - 11. Let n be p(1). Solve -x - n = 3*x, 5*x + 25 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-8)\/(-100))\/(5\/(-25)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2924363227 + -2924363139.999999072. Let l = i + -87. What is l rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340\/34*(2\/(-5))\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99492848 and 728.\nAnswer: 99492848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*l = 2 - 0, 0 = -4*w + l + 16. Let k be (35*2\/10)\/((-2)\/(-4)). Let o = k - w. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3805581224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13440 by 168.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 3}. Give prob of picking 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2302*b - 4401. Determine f(-2).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30366541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.93 and 0.4?\nAnswer: 13.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/10*(-15)\/3. What is the units digit of (-26)\/c + 10\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 0*d)*(-3*d + 4*d + 2*d) - 3*d**2 + d**2 + 0*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*g = -668 + 256, 5*u - 4*g - 1012 = 0. Suppose 39*a = 42*a - u. Let y be 1*-17*(9 - 10). What is the greatest common divisor of a and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.77779293 to two decimal places.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/149457 in -3, 0.12, -8\/3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4\/10)\/(6\/120) and (-1 + -2 - 0) + (-4 - -25)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57485386?\nAnswer: 2, 7, 223, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35342886, -35342887, -35342888, -35342889, -35342890, -35342891?\nAnswer: -35342892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 66, 1, 1766?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-58)\/(-12) + 1)\/((-3)\/(-6)) and (-4)\/(-24)*(-246)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:41 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -373 + 380. Calculate the greatest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d33 (base 16) to base 9\nAnswer: -4564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 122830069.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 7*q**3 + q**3 + (-3*q + 3*q - 2*q**2)*(-q + 5*q - 5*q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 10. Let p be r(0). Let v = -7 - p. Is (-36)\/8*(-254)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2912 = 12*t - 5*t. Calculate the highest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3405 or -3400?\nAnswer: -3400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 3. Let m be k(1). Let h be ((-9)\/(-48))\/(-3 + 0). Is m equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 6)\/(-1 + -1). Let x = q + 5. Suppose -j + x + 0 = z, 13 = 3*j + 2*z. Put j, -2, -5 in descending order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 236 = 10*n. Suppose -112 = -10*b + n. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.2 + 0.8. Let n = -112 + 97.3. Let w = z + n. Which is the closest to 0? (a) -5 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21113440 (base 5) to base 11.\nAnswer: 11035a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrcaazzazaulcuc. Give prob of picking 1 a and 1 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 0*k)*((2 - 1 + 1)*(-6*k + 3*k + k) - 4*k + k + 2*k).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o. Let x = 0.477 - -4.523. Sort o, x, -4\/5 in increasing order.\nAnswer: -4\/5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 0*n**2 - 1\/12*n**3 - 2 - 1\/16*n**4 + 0*n. Let u(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000423894 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - -3. Let c = 8 - 7.9. What is the closest to d in 3\/4, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 39*s - 151. Let f be u(4). Solve 2*k + 0*k = 4*o + 10, -3*o = -f*k + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 416190?\nAnswer: 5826660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 4. Let z be l(3). Let g = 28 + z. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.2 - -0.8. Let w = d - -2. Let i = w - 13. What is the nearest to i in 4, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3806810 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 - 1518215*r**3\/2 - 768323571111*r**2\/2 - 129607222655235069*r\/2 + 259220591947622034.\nAnswer: -(r - 4)*(r + 506073)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 q, and 1 g when four letters picked without replacement from xxqqbbpqmxqmqqg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 12\/5 (c) -0.07 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 27*x**2. Let v(l) = l**2 + 12*l. Let m(k) = -k**2 - 14*k. Let c(h) = -6*m(h) - 7*v(h). Calculate j(c(z)).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 41, 0, -2 in ascending order.\nAnswer: -2, 0, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:53 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 83. Let s(p) = -17 + 49 + x*p + 13. What is the tens digit of s(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*j + 8 = 0, 6 = 5*j - 19. Factor -2\/3*d**l + d + 2\/3.\nAnswer: -(d - 2)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 131*s + 5. Let t = -41 + 42. Let b be h(t). Suppose 2*u - 46 = b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*j + 5431 - 5431 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, 1, -168?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 213 (b) -66 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/90 and (8\/(-56))\/((-6)\/623)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 + 8*v**3\/3 + 2*v**2 - v - 1. Let u be z(-16). Solve 5*j - 7 = -u*q + 3, -4*j = 4*q - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -4. Suppose -x = g - 14. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 13. Let u be o(-15). Suppose -3*s + u = 2*y, 3*s = -2*s - y + 8. Do 4 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 113*n - n**2 + 113*n as u + k*n + s*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27\/18*-2 + (-151215)\/(-5)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (276*y + 298*y - 42*y)*(2 - 5 + 0) as b*y + r and give b.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/21)\/(1\/28*4). Suppose 0 = -5*d + 2*l + 82, 5*d - 3*d + l - 31 = 0. Suppose -u - d = -2*x + 4*u, -3*x + 19 = -5*u. Solve z*v + 7 = x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 1161*x + 17 - 343*x + 29 in the form y*x + l and give y.\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**3 + 2*m**2 + 3*m - 4. Let w(o) = -26*o**3 - o**2 + o - 2*o + 27*o**3 + 1. Let d(b) = s(b) + 4*w(b). Determine d(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19.28199 months?\nAnswer: 0.16068325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.831286 centuries in millennia?\nAnswer: 0.0831286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4298840 and 65000.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:21 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2670*u - 4 + 2 + 2723*u + 24*u**3 as r + p*u + w*u**2 + y*u**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 45*l + 53. Let x be k(0). Suppose -21*s - 11 + x = 0. Solve -s*j - 4*o = 4, j + 2*j = -2*o - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1656232 divided by -9\nAnswer: -1656232\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 - 4. Let c = o - -0.6. Does 0 = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/270777 and -45\/4.\nAnswer: 1083108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 450857770 and 880.\nAnswer: 3606862160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Suppose -45 = 3*m - q + 113, 0 = -m + u*q - 34. Let z be (-1 - -16)*4\/m. Which is bigger: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1270 + -204472\/161. Let c = 25\/161 + t. Factor 2\/7 + 1\/7*k**3 - 2\/7*k**2 - c*k.\nAnswer: (k - 2)*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-88)\/5)\/((-1)\/5). Suppose q + 2 - 51 = 0. Let o = x - q. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 19054*c**2 - 668115*c - 27. Determine k(35).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-646)*19 + (-2832)\/(-204)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -4, -0.4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let t(p) = 149467004*p**2. Calculate t(f(r)).\nAnswer: 149467004*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 749993.5 micrograms in tonnes?\nAnswer: 0.0000007499935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05583 rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 11) in base 3?\nAnswer: -12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8765 = -364*i - 28*i - 3051 + 6438 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -163654.6 to the nearest 1000.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a - d - 51, 85 = -5*a - d. Let v = 62 + a. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 216?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 929 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 5, -14\/9081, 3\/2?\nAnswer: -14\/9081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from ahahhhaahhaahhhhhhh?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 1, i: 2, t: 1}. What is prob of picking 1 m, 2 i, and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-4 - 0 - -13) - -25) + 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {o: 2, f: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/5, -7688?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3205939 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohkokooooooooook. What is prob of picking 2 k, 1 o, and 1 h?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + m + m)*(-1 + m + 1) + 24 - 5*m**2 - 25 + 2*m**2 + (2*m - m - 2 - 3*m)*(458 - 458 + 25*m) in the form j + g*m + f*m**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -7. Let m = 413\/36 + -45\/4. Let s = 3\/38 - -49\/342. Which is the closest to m? (a) h (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + v + (-5*v + 0*v + 3*v)*(2 - 2 - 1) + (-4*v + 2*v + 4*v)*(-2 - 1 + 2).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -378333.3 and -0.1.\nAnswer: -378333.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 300, 599, 898, 1197, 1496, 1795?\n\"Answer: 299*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/6 - 5*h**4\/6 - 42*h**2. Let a(b) = 2*b. Let t(l) = 50*a(l) + 5*c(l). Let m(w) = w. Determine t(m(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(3*-1*sqrt(121))\/((sqrt(88) + (2*sqrt(88) - sqrt(88)))\/sqrt(8)))**2.\nAnswer: 895\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**3 + 50*h**3 - 74*h**3 - 19 + 9.\nAnswer: 3*h**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 0 (c) -617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 + 281. Suppose 16698 = s*p - p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:25 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3759178369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -148 times 2\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*z - 832*z + 275*z + 283*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, n: 3, u: 5}. Give prob of picking 1 n and 2 r.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 12:21 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124209, -124125, -123985, -123789?\nAnswer: -123537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -197977.\nAnswer: 12\/197977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w + 38 + 26 - 57. Let i(p) = p - 1. Let z(t) = -5*i(t) - n(t). List the prime factors of z(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 658247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 691456.\nAnswer: -691459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-2 + 5 - 1) - (129 + -85 - 43)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 2\/3*z + 1\/3*z**2.\nAnswer: (z - 1)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -2*r - 162 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 658, 959, 1226, 1447?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.99 - 0.01. Let h = 36 + x. Let a = 23 - h. Is 1\/5 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37621, -37697, -37773, -37849, -37925, -38001?\nAnswer: -38077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/12 and ((-366)\/(-20))\/(56\/10 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z + 17*z + 15*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 + 4?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 12:33 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 19. Give m(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 977488.533 nanoseconds in weeks?\nAnswer: 0.0000000016162178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q + 28. Let w be f(10). Is ((-19)\/2)\/(2\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 121\/22*(7 - -1). Let f = i - -19. What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 32*j - 34. Let o be l(31). What is the biggest value in -4, o, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.5917612 rounded to 2 decimal places?\nAnswer: -129.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 671627261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 25027 = 2*r - 4044, -4*w = -5*r - 16800. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * 1.2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 518*z**6 - 4058*z**3 - 443*z**2 + 121*z + 5 wrt z.\nAnswer: 62160*z**3 - 24348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -166*x. What is r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - x - 4. Let c(f) = 2*f**2 - 2*f - 3. Calculate 4*c(r) - 3*d(r).\nAnswer: -r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2 = j, 8508 = -4*j - u + 8515 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 542 - 541 + 3*j**2 - 224*j**4 + 8*j + 209*j**4 to h*j**3 + b + r*j**2 + q*j + p*j**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 + 60 = 101*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 11*t + 8. List the prime factors of v(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.16, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 7*x - 5. Suppose 5*s + 114 = 2*n, 2*n + 3*n + 3*s = 316. Calculate the smallest common multiple of n and q(-5).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -350 - -441. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 2595?\nAnswer: 8\/2595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*a + 14 = -v, -5*a = 0. Suppose 7 = -v*u + 28. Solve -4 = 4*n + 4*h, 3 + 6 = u*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4213 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 902 = 695. Put -3, 12, -5, z in decreasing order.\nAnswer: z, 12, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -615 or -609?\nAnswer: -609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Suppose -27 = -m*i + 15. Solve -18 - 2 = -5*q, 2*x + 4*q = i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f + 2. Let l be g(-2). Suppose 3*y = -y + l. Let o = 33 + -21. What is the highest common factor of o and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -812\/3 + 270. What is the nearest to 3 in -3\/5, -2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1051 - -1355. What is the greatest common divisor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*a - 6*a**3 + 268*a**3 - 3 - 1 as b*a**2 + k*a + s*a**3 + p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -20382, 45 in decreasing order.\nAnswer: 45, -4, -5, -20382","meta":{"dup_signals":{},"source":"comparison__sort_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: Calculate prob of picking 3 i when three letters picked without replacement from {u: 6, i: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 - -72) + -2*1. Let a be 1 + -1 + -2*2. Is (a\/(-6))\/(5\/f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103\/(-1442))\/(21\/(-14)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21458?\nAnswer: 2, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 + 11 = 0. Let q be 2*(-2 + 6) + 1. Calculate the highest common divisor of q and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 13 = -7. Calculate the least common multiple of o and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -310, -306, -300, -292, -282, -270, -256?\n\"Answer: k**2 + k - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 1:51 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004111282 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*w - 54, 111*w = 112*w + 3*c - 34. Let z = -100 + 191. Calculate the greatest common factor of z and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/6 - (-67)\/(-201). Which is the third smallest value? (a) s (b) 0.02 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 185973, 185974, 185975, 185976, 185977?\n\"Answer: o + 185972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-6)*33\/(-15)*9. Suppose 0 = -b*f + 63*f + 66. Suppose 2*z + 308 = 5*o, 0*o + 3*z - 313 = -5*o. What is the remainder when o is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.1. Let w be 0 - (2 - (-48)\/(-22)). Suppose -7*q + 5*q + 4 = 0, 2*q = -5*j + 24. What is the closest to f in 3, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -316718\/202051 - -44\/2083. Is x less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111116239 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -6418.\nAnswer: -6418, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 11*f + 55 = -6*f - a, -28*a + 24*a - 10 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/17 - -3\/238. Find the common denominator of -91\/18 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose -4 = 2*p + 4*t - 7*t, 3*p - 4 = o*t. Suppose -v - u + 29 = 0, -2*v - p*u = -47 - 21. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15\/14 + 4\/7. Let j = -31.2 + 34. Let a = j + -3. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71445 and 774620?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10478956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 520645155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 7*u**4\/4 - u**3\/3 - 41*u**2\/2 + 95*u. List the prime factors of a(-7).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 78 = -2*y + 2966, 2*v = 8. What is the lowest common multiple of y and 27?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100110000 - -100?\nAnswer: 1011100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -518103 times 0.3?\nAnswer: -155430.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73125, 73240, 73357, 73476, 73597?\n\"Answer: u**2 + 112*u + 73012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*(-4)\/((-12)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113418886 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10314 - -10338. What is the remainder when 598 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2314831, -4629660, -6944489?\nAnswer: -9259318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = f, -6*f + y - 2 = -10*f. Suppose -53*a + 795 = -f*a. Solve -a = -o + 6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -8. Sort -4, -5, v.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 9 = -d, 0 = -3*g - 3*d - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a + 24. Let r = -7 - a. Solve 10*n + 20 = r*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 32*s + 112. Let q be w(14). Let z = q - -205. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-35)\/(-350))\/(-10).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 11*m**2 - 12*m - 16. Let f be v(-10). Let q(g) = 18*g**2 - 17*g - 16 + g - 43*g**3 + 42*g**3 - f. What is q(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let q be m(3). Let s = 49 - 48.8. Let j be (-15)\/(60\/(-8)) + -1 + -1. Which is the nearest to j? (a) -0.5 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b - 4397. Let l(u) = -2*u. What is l(y(s))?\nAnswer: -26*s + 8794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -70*n**2 + n + 4. Calculate q(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*-6*2)\/(sqrt(144)\/sqrt(6) + 6*sqrt(24)\/sqrt(4)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + d**2 + d - 1. Let g(f) = -5*f**3 + 15*f**2 - 3*f + 3. Suppose -o - 4 = r, 3*r - 3*o - 8 = 2*r. Let j(v) = r*g(v) + 6*s(v). What is j(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372 by -2.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1292 = -875*j + 874*j. Suppose -3*v - 11*n = -7*n - j, 5*n = -5*v + 2155. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*l - 3*l - 8, -l + 9 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02576 and 0.06.\nAnswer: 0.08576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 + 41639*c**2 - 1709012*c - 5501760 = 0.\nAnswer: -41680, -3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by 12\nAnswer: 47\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443773349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i - 2. Find the third derivative of j**2 - j**5 - 2*j**i - 2*j**5 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w**2 - 321859744*w - 214573160 = 0.\nAnswer: -53643290, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 484\nAnswer: 3\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q + 7. Let l(m) = m - 14. Let g(s) = -2*s + 41. Let d(a) = -6*g(a) - 17*l(a). Calculate 5*d(n) + 6*h(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4 + 21*d**3 - 18*d**2 + 30*d**3 - 432 + 28*d**3 + 99*d**2 - d**5 + 64*d**2 - 366*d = 0.\nAnswer: -8, -3, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r**2 + 10*r. Let l be d(5). Let n be (l\/27)\/(2\/(4\/(-2))). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*b + 1 + 1)*(-3 + 0 + 4)*(-20*b + 77*b + 21*b) in the form q + p*b + h*b**2 and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 42180729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-4)\/3)*6. Let n(i) = -i**2 + 8*i + 2. Let k be n(l). What is the second derivative of 2*r + k*r**4 - 2*r**4 - r**5 + r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19166\/(-54) + 4\/(6\/3). Let v = 354 + p. Find the common denominator of -1 + (-3 - (-68)\/33) and v.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 2*b + 9. Let u be k(1). Solve 3*w = 4*h + 9, -2*w - h = u*h - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ec8b (base 16) in base 13?\nAnswer: -45514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1853295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1378, 4, -1048 in ascending order.\nAnswer: -1048, 4, 1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/21 and 43\/910252.\nAnswer: 2730756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10269570 is divided by 3423186.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.8 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 - 541*j**2 + 1465*j?\nAnswer: 20*j**3 - 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -0.7. Suppose 3 = 3*f - 3. Which is the nearest to i? (a) f (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11712200 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18402280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 74. Suppose 7*z - l*z = -2*c - 2, 3*z + 4 = -4*c. Put 6, -2, -5, z in descending order.\nAnswer: 6, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 7*p**2 - 11*p + 3. Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1728, -1716, -1700, -1680, -1656, -1628?\n\"Answer: 2*n**2 + 6*n - 1736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10814, 10964, 11362, 12128, 13382, 15244, 17834, 21272?\n\"Answer: 20*i**3 + 4*i**2 - 2*i + 10792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46535 - 56171 - 95114 = 2201*n + 1989*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27062.604 months in centuries?\nAnswer: 22.55217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37427 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741957923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13905*c**3 - 13899*c**3 + 3 - 10 - 3.\nAnswer: 6*c**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 36 = 0. Let r(s) = s**3 - 17*s**2 - 14*s. What is the tens digit of r(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1374677\nAnswer: -412403.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21022\/1371*(-6)\/(-4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5200 + 6448. Let r be m\/12 + 0 - (-4)\/(-6). Let d(h) = h**3 + r*h**2 - 4 - 8*h - 248*h**2 - 3*h**3 + 3*h**3. Give d(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19780225.23502 take away -0.1?\nAnswer: -19780225.13502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*t + 93*t - 63*t)*(-t**4 + 14*t - 14*t).\nAnswer: 46*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (1254\/190 - 9)\/(2\/(-5)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.9598 + -0.0402. Let m be 2\/1 - (-40)\/(-8). Let j be 18\/20*(-5)\/m. Which is the second biggest value? (a) -0.03 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 + 10*v - 47. What is d(3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 12*x + 17. Let j be k(14). Let t = -6 - j. Solve 5*i - 5*u = -2*u + 6, 2*i - 10 = t*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)*(-15)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.644*262.99.\nAnswer: 169.36556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/1620*18)\/(6\/(-20))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*h - 30, -z + 0*z - 75 = -5*h. Let i be (65\/h - 3)\/((-1)\/(-51)). Suppose i*d = 70*d - 150. What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16143851 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 134549794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.820048 - 3.892. Round d to three dps.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0.1, 1\/4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o + 2*o - 4*o + (0 - 1 - 1)*(-1 + 1 + 4*o) as l*o + m and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -156*t + 22. Let y(h) = 57*h - 8. Let r(z) = 4*q(z) + 11*y(z). Let v(n) = -3 + 28*n + 3. Calculate r(v(c)).\nAnswer: 84*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (176\/36)\/11*(42\/8)\/21\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497 + 508 - (3 - (-32 + (-3 - -5))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**3 - a**2 + 4*a - 4. Let q be d(1). Suppose 10 + q = h + 3*k, -k - 2 = 0. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 2*q. Suppose -10 = -q*n + 3*n. Suppose -n*l = d - 32, -2*l - 26 = -d - l. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**8\/1680 - a**4\/8 + a**3\/2 - 4*a. Let h(x) be the second derivative of v(x). What is the derivative of h(c) wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 11665040?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49328 (base 14) in base 4?\nAnswer: -223230220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 0 + 0 + 5*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:24 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1992420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 6*v**2 + 6*v - 12. Let t be ((-55)\/(-4))\/(-11)*(-4)\/1. Let j be l(t). Let r(s) = s**2 + 6*s - 10. What is r(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61816 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 v, and 1 a when four letters picked without replacement from dalvvd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1 take away 219808921.14?\nAnswer: -219808940.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 15, 16, 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 155, 230, 303, 374, 443, 510?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j + 5 - 55 - 20 + 10*j + 11*j**3 + 12*j**3. Let b(n) = 2*n**3 + n + 1. Let u(g) = 2*b(g) + o(g). What is the first derivative of u(h) wrt h?\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -8*o + 17, -2988*g = 3*o - 2984*g + 48 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -47. Suppose 12 = n*v - 32. What is the remainder when 53 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 34*v - 141. What are the prime factors of h(30)?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-1\/21)\/(y\/(y**(-3)*y))**(-5\/9) assuming y is positive.\nAnswer: y**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-3)\/(5 + -2). Is -2 - 0 - 10*b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*216\/(-56) + 1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cqccccq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.27, 281, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -10.88. Let h = 2.88 + g. What is the third smallest value in 0.5, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/4 and 85\/15392.\nAnswer: 15392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3373, 71.\nAnswer: -3373, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a2c + -62?\nAnswer: -6a8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 k when three letters picked without replacement from {q: 13, u: 3, d: 1, k: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9665910 and 8440?\nAnswer: 38663640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*b + 23, -b + 9 = f - 0*f. Let w(h) = -h**3 + 13*h**2 - h + 16. Let u be w(f). Solve -22 = -5*t + u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b**3)*(b**2 - 6*b**2 - b**2 + (-1 + 2*b + 1)*(-2*b + 5*b - 2*b)).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 173*x + 6833. What is u(111)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 2*f**8\/3 - 221*f**5\/60 - 267*f**2. What is the third derivative of v(y) wrt y?\nAnswer: 13440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.92. Let v = 2.92 + w. Which is the third smallest value? (a) v (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1839*g - 921*g + 16*g**3 + 14*g**3 - 918*g.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 4902809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u - 2*u - 13 - 6*u - 7 - 2*u**2.\nAnswer: -2*(u + 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(2 - 1 + 1)*(-313 + 3*l + 314 - l - l**2).\nAnswer: 2*l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(363)*2 + -3 + (sqrt(363) + (-3*sqrt(363) - sqrt(363)))**2 + (3*(1 + sqrt(363)) + 5)**2 + 3)*3.\nAnswer: 1650*sqrt(3) + 19788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 242. Let q(j) be the second derivative of j**4\/12 - 1184*j. Give q(k(l)).\nAnswer: l**2 + 484*l + 58564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(sqrt(152) - -2*sqrt(152) - sqrt(152))*-6)\/(sqrt(48)\/(sqrt(12)\/sqrt(2) + sqrt(6))*1).\nAnswer: -240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/6 (b) 5\/3 (c) -6\/11 (d) 4 (e) 419\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*r + 11 - 89, u - 3 = 0. Suppose p - 4*p = -r. Suppose -2*c + p = -c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38844 and 3320.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 57. Calculate the remainder when 341 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 128 = -8*m. Let z = -184 - -6444\/35. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 792\/(-720) - (-48)\/32. Let 2\/5*n**2 - 2\/5 - w*n**3 + 2\/5*n = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14144 + -14143.5. Sort -4, -372, m.\nAnswer: -372, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -620, -622, -624?\n\"Answer: -2*y - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iju when three letters picked without replacement from uuiujucjucuuujuijjj?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1927 = -76*i + 2155. Which is the third biggest value? (a) 1 (b) i (c) 7\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 20 = -15. Let l(x) = -2*x**2 - 2*x + 7. Let c(q) = -2*q**2 - 2*q + 6. Let i(z) = h*c(z) + 6*l(z). Factor i(u).\nAnswer: 2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(48)\/sqrt(4)) + 4*(sqrt(2) + sqrt(2) + 0)**2.\nAnswer: sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -872 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -11701268?\nAnswer: -11701268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 17. Which is the closest to m? (a) 2\/11 (b) -1\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254393131.\nAnswer: 254393131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -903 - -907. Let o(g) = 77*g**2 - 7*g + 27. What are the prime factors of o(x)?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5269 - -5267. Which is the third smallest value? (a) g (b) -8 (c) -342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(7\/4)\/g**(2\/3))\/(g*g**(-3))**(-25) assuming g is positive.\nAnswer: g**(-587\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -267055, -533963, -800849, -1067701, -1334507, -1601255, -1867933?\n\"Answer: 2*w**3 - w**2 - 266919*w - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2 + 30*g**2 + 33*g**2 - g**2 + 65*g - 3. Let b(y) = 63*y**2 + 65*y - 4. Let s(k) = 5*b(k) - 4*j(k). What is the second derivative of s(p) wrt p?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -26. Suppose -2*v + 4 = -8. Calculate the lowest common multiple of v and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 4. Let u be l(6). Suppose y + 196 = u*h, -h + 48 = 4*y - 41. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/63505 and 46\/53735?\nAnswer: 698555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -5. What is the remainder when n is divided by 6\/16 + 1850\/2960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54743482*s**3 - 8888*s**2 - 186*s?\nAnswer: 328460892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 - -10?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*z - 7 - 107*z + 56*z to f + k*z and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 13 = 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116b + 1?\nAnswer: -116a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -112 - 28. Let a be 4\/(-18) - 26\/126. Sort a, -1\/11, v.\nAnswer: a, -1\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 2, -4 in ascending order.\nAnswer: -42, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**(-1\/23)*(x\/(x*x**(4\/5)))**12 assuming x is positive.\nAnswer: x**(-2223\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -8 - (-11 + (2 - -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 163.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1451*p - 421*p - 1367 = 1723. Let y be (5 + 0)*(-2 + 3). Solve -p*v = -y*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 13*b + 5815. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*v + 57*v - 15 - 30 as d + l*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/27 + ((-2)\/(-2))\/(-1). Factor -2\/9 + c*d**2 + 2\/3*d - 2\/3*d**3.\nAnswer: -2*(d - 1)*(d + 1)*(3*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17807325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - 32\/10 - 842\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2154*k - 3040. What is the hundreds digit of v(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Let p = -3 + 4. Let w = -13.9 - -14.1. What is the closest to -0.2 in l, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + c + 4 - 5, 4*b + c = -13. Let a be (-1124)\/4*(b - 0). What is a rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g - 5. Let z be (10\/7 - 2)*(-21)\/6. Let f be j(z). What is the third derivative of f*h + h - 8*h**2 - 6*h + 4*h**3 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let z(l) = 3*l. Let i(r) = -2*f(r) - z(r). Let j(u) = 0 + 0 + 527*u - 290*u - 251*u. Give i(j(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 363553 at least 2544866\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**3 + 23*b**2 - 5*b - 5. Let k(w) = -13*w**3 - 34*w**2 + 7*w + 7. Let x(f) = -5*k(f) - 7*u(f). What is the third derivative of x(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 6590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4381 and -31\/7228.\nAnswer: 2435836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - g - 2*g - 102, -g = -5*k + 104. Suppose 20 = x + k. Let a be (7 + 2 + -8)\/(x\/(-3)). Let h(j) = j - 3. Give h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*b = -506, 7*r - 6*r - 3*b = 518. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:25 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:07 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -8. Let j be ((-12)\/(-18))\/(7\/(-3)). Let i = -0.1 - 0.2. Put i, j, h in decreasing order.\nAnswer: j, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -3, -12, -13, -6, 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 14.61972 months?\nAnswer: 0.121831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-6)\/9)\/(3\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8 + -4 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -319953 less than 190?\nAnswer: 320143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9660.94nm?\nAnswer: 0.00966094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-33) - (92\/22 - 4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 2 - 1*-2. Suppose -g = -3 + j. Is g\/(2\/(-435)*-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23527 + 30*p**2 - 23527.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -14*b + 78. What is o(-6)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18000 or -18001?\nAnswer: -18001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -28*s - 12. Let v(k) = 168*k + 71. Let w(p) = -p**2 - 3*p + 4. Let g be w(-5). Let t(a) = g*v(a) - 34*x(a). Is 27 a factor of t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3429 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/8 - 15*s\/4 = 0.\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, 95, 114, 151, 212, 303, 430, 599?\n\"Answer: m**3 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 2. Let k(t) be the second derivative of 7*t**3\/3 - 6989*t. What is k(v(r))?\nAnswer: 14*r - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 8*d - 5*d. What is the nearest to d in 2\/29, -1\/3, 5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 227 = 353. Solve -15*x = -l*x + 3, 2*y - x + 11 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/15 + 30\/9. Let q be (3 - (9 - v))*-8. Let h = -42 + 50. Calculate the greatest common factor of q and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-2*sqrt(44)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q - 9804 = -137*q - 181*q + 538*q for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 22 = -6. Let p(j) be the first derivative of 4\/11*j**2 + i - 40\/33*j**3 + 25\/22*j**4 + 0*j. Suppose p(z) = 0. What is z?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 7*g = -3*l + 2, 3*g = 5*l + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26491 + 26664. Which is the second smallest value? (a) y (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10703\/4 + 2656. Let v = h - -20. Let t be -3*(-15)\/18*2. What is the third biggest value in v, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-38\/7)*(j**(-1))**(2\/29)*(j**(1\/12)\/j)\/(j*j\/((j\/j**(1\/2)*j)\/j))*j**(-2\/5)\/(j**(1\/3)*j) assuming j is positive.\nAnswer: j**(-2447\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -763*v + 763*v + 1592*v**2 to the form m*v**2 + q*v + j and give m.\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15279367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + (14 - (8 + 5) - -15) + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*(-45 - (-1470)\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n + 1475 = 25 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839936?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 344513401?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 8. Let l be g(-13). Let x be (1 - 4\/8)*(5 + 3). Suppose -z = -x*o + l - 2, 2*z = -o + 12. Put z, 3, -5 in descending order.\nAnswer: z, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1317171 by -325.\nAnswer: 1317171\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1630?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 2*q**6\/5 + q**3 + 25*q. Find the second derivative of c(t) wrt t.\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*t - 947274 - 5477003 = 1029547. What are the prime factors of t?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a1 (base 14) to base 5\nAnswer: -30110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -55, 2\/13, -1, -2\/31, -1\/4, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*t - 86*t = 15, -4*u - 4*t + 528 = 0. What is the remainder when 252 is divided by u?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/20 + u**3\/6 - u. Let k(a) be the first derivative of 0*a - 48 + 1\/2*a**2. Determine -k(o) + r(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = -20. Let p = -206 - -210. Let h(a) = 3 + 5 - p + 5*a. Determine h(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let m be (4\/5)\/(y\/(-10)). Suppose 0 = 2*i + 3*h + h - m, -4*h = 3*i - 18. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*u + 4800 - 731 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 112262306 divided by 148889\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-19)*x*(x**(-1\/22)\/x)\/x*x*x*x**(-7\/4)*x\/(x**(5\/3)\/x) assuming x is positive.\nAnswer: x**(2579\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1423.3 to the nearest ten.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.02 + -3. What is the smallest value in s, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74*d - 40*d - 3*d + 1298 + 14*d - 153*d wrt d?\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -250? (a) -1 (b) 0.3 (c) 3 (d) -2 (e) -3\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 9*n + 330. Let f be (-12)\/n + 4\/(-22). Which is bigger: -3\/20 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 7 (c) -3 (d) -1 (e) 3 (f) -0.866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59\/351 + -64\/195. Find the common denominator of -125\/24 and d.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 9 = 5*f, 3*z + f - 2 = 1. Let v(i) = -i**2 - 14*i - 9. Let j be v(-10). Suppose z*k = k + j. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -10201*b**3\/3 - 12067985*b**2\/3 - 238967*b\/3 - 1183\/3 = 0.\nAnswer: -1183, -1\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5439992, 10879969, 16319946, 21759923, 27199900, 32639877?\nAnswer: 38079854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216040 and 10648.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*u - 357, -3*n = -0*u - 3*u - 213. Let l be 0*-3*2\/12. What is the remainder when n is divided by (-17 - -37) + -1 + l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-3 + 2)*-1. Solve -3*b - 4*f - 24 = 0, 0 = -v*b + 5*f - 1 - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -571*i**3 - 513136*i**2 - 37641*i + 43.\nAnswer: -3426*i - 1026272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*t - 26, 3*t + o - 4*o - 30 = 0. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {e: 2, h: 6, x: 1, a: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - i + 52 = -37, c - 4*i - 104 = 0. Is 50 a factor of 2 + (-6)\/(-3) + c\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 3*f + 696 = 0, 1962*f - 130 = -2*m + 1965*f for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = 2*w - 6, 8 = w - 2*d. What are the prime factors of 255*(w\/20)\/((-6)\/(-8))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-14)*(-16)\/(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (0 - (-16 - -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8*7\/56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + 4 + sqrt(567) + 5*sqrt(567) + 1*(4 + sqrt(567) + 4)**2)*-4.\nAnswer: -2529 - 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 29\/1796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 7*j**2 - 6*j - 3. Determine o(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 44*k + 49*k = -25, 0 = -3*u + 7*k - 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb95 + 9?\nAnswer: -cb8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 9. Let f be (1 + ((-14)\/4 - k))*0. Suppose -3*x = 2*i + i - 138, f = -4*i + 3*x + 198. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 + 1765311*q**2\/5 - 779104562832*q\/5 + 21034536304428\/5 = 0. What is q?\nAnswer: 27, 882642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 17 + 9)*(-7 + 3 + 3)*(-13 + 13 - 14*q).\nAnswer: -364*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 5:25 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let z(y) = -5*y + 8. Let q(d) = -6*s(d) + z(d). Let f be q(-7). Suppose 4*g - r - 19 = 0, -3*g - 4*r + 24 = 5. Sort g, f, 3 in descending order.\nAnswer: g, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (132 - 79 + 35)*(7*z - 5*z - 7*z)*(-2*z**2 + 2*z**2 - 5*z**3 + 2*z) as o*z**3 + p*z + w*z**2 + l*z**4 + a and give l.\nAnswer: 2200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -1\/7, 3, 2\/5 in descending order.\nAnswer: 110, 3, 2\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-10 + (-7 - -38) + -12 - (50 + 3))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*c + 23 = 0, -3*c - 3 = -2*v - 16. Let r = 10 + -14. Sort -1, r, v in increasing order.\nAnswer: v, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 101258229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p + 5 - 4*p - 2 + p**2 + 0*p**2. What is the units digit of h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39.797 or -8?\nAnswer: 39.797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - 1110?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 28. Let u(m) = 4*m - 27. Let x(t) = -3*a(t) - 4*u(t). Let n = 897 + -877. What is the units digit of x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -67.\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2 + 9. Suppose 4*h = -g + 3. Let f = 0.04 + -3.04. Which is the smallest value? (a) 3 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 3266*a + 42103. Determine i(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.0066 - -23. Round z to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:55 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1.58809.\nAnswer: 0.317618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*q**2 + 48\/5*q + 0.\nAnswer: 4*q*(q + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 690, 713, 736, 759, 782, 805?\n\"Answer: 23*o + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84520, -84532, -84546, -84562?\nAnswer: -84580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -9.92, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 6, l: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*d - 2*t, -3*d + 2*t = 2*d - 68. Let a(g) = -85*g + 186*g - 91*g + d. Let u(q) = 1 + 4*q - 4*q + q. Give a(n) - 12*u(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 2880.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 18 + 0*m**2 + 122*m - 8\/3*m**3. Differentiate d(c) wrt c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -17. Let b be p\/(1 + (-3)\/2). Which is greater: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 102.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**4\/3 + 162*a. Let c(x) = -13*x**2. Calculate p(c(v)).\nAnswer: -676*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396482, 396404, 396328, 396254?\nAnswer: 396182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1104781, 4419080, 9942899, 17676238, 27619097, 39771476, 54133375?\nAnswer: 70704794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 2*h - 5. Let j(f) = -3*f**3 - f**2 + f - 6. Give -4*j(k) + 5*m(k).\nAnswer: 2*k**3 + 4*k**2 + 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let y = h - -5. Suppose 5*k - 5 = -5*d, k - 7 = -y*d + 2. Solve 2*p - d = 5*s, -3*s + 5*p = 17 - 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420800 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)\/d)**(-25)*(d**(2\/7))**14)**(-21) assuming d is positive.\nAnswer: d**(-259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 3. Let n be y(-3). Let q(r) = r**2 - 2*r + 4. Let f be q(n). Suppose -3*u + 12 = -4*o, -2*u + 2*o = -o - f. Solve 2*j + 0 + u = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-6\/7)\/k*k)\/k)\/k)\/k)\/k**(-3\/11) assuming k is positive.\nAnswer: k**(-276\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j**3 + 26*j**2 - 13*j - 4. Let s(o) = 7*o**3 + 17*o**2 - 9*o - 3. Let b(p) = 5*m(p) - 8*s(p). Let g be b(-7). Solve -g*w + 5*w = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226936 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.3, 0.09, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**2 + 60*t - 132 = 0?\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/26 + 145\/(18560\/(-1024))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 12*d**2 - 12*d + 15. Let i be a(11). Suppose -4*q - 5 = -2*h - 3*q, -h - i*q - 20 = 0. Which is greater: h or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2603416.53 to the nearest 1000.\nAnswer: -2603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348801283?\nAnswer: 348801283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from uouuuzwuwuzuuu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6773, -7072, -7573, -8282, -9205, -10348, -11717?\n\"Answer: -x**3 - 95*x**2 - 7*x - 6670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-27)\/6)\/(-4 + 2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(5) - -3*(sqrt(5) + -1) - sqrt(5))*1)**2 + (1 + sqrt(80))**2 + sqrt(5) + sqrt(5) + (sqrt(5) - (sqrt(5) - (sqrt(605)*2)**2)) + 4.\nAnswer: -8*sqrt(5) + 2559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 757410637 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2059, 1979, 1853, 1681, 1463, 1199?\n\"Answer: -23*a**2 - 11*a + 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 549841477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - -3) + -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/2 + 5\/6. Let s = -5\/6 + f. What is the closest to -0.07 in s, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*l - 382, 2*f - 69 - 115 = 2*l. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 25*j**8\/336 - 23*j**7\/14 - 461*j**6\/120 + 51*j**5\/20 + 23*j**4\/3 - 10*j**3 + 1508*j**2. Solve b(f) = 0 for f.\nAnswer: -1, 2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 6*w**2 - 48*w - 219. Give s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -49, -106, -163, -220?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (1 + -1)) + -2. Let r(w) = 2*w - 55 + 0*w**2 + 56 - 2*w**2. Calculate r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208 or -8?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/30 + 8*w**2. Let j(g) = g**2 + 3*g**2 - 5*g**2. Determine h(p) + 3*j(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650233226 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83506 (base 11) to base 6.\nAnswer: -2335324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6949 - 6947. Suppose -161 = -2*o - 21. Calculate the greatest common divisor of r and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 - 18*t + 11. Let r be z(7). Suppose 6*j = 2*j + r. Calculate the remainder when 31 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -4, 29\/5, -1.4, 3\/5, 1\/20?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 13*s + 15. Let n(w) = 4*w**2 - 13*w + 14. Let b(h) = -4*n(h) + 5*x(h). Let f be b(-14). Let z(a) = -a + 11. What is z(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9819606 divided by -3.\nAnswer: 3273202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 25*b + 41 - 85 - 6.\nAnswer: 25*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*13.9\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 27. What is the greatest common divisor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 40. Suppose -2*u + 4*i = 0, 0 = u - i - q + 1. Does 35 divide 69 + 1 + 4 + (2 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3 - 2*v**2 - 2*v + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2. Suppose -2*n = 3*m - 9, 4*n - 10 = -5*m + 5. Let t(y) be the first derivative of -1\/3*y**3 - 3 + n*y + 0*y**2. What is z(t(c))?\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3451 + -3444. Suppose 3*d - b + 5*b - 11 = 0, 0 = -5*d + 4*b + 29. What is the least common multiple of w and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*c + 334*c = 9. Let t(g) = -6*g - 5. Calculate t(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 9*l + 11. Let z = -20 - -28. Let b be v(z). What is the third derivative of 11*n - 6*n**2 + 5*n**b - 11*n wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from lilillllil.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*h = -1379*h + 3*n - 63, 0 = -2*n + 2 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -41\/4, 48, -1, -0.2, 5 in ascending order.\nAnswer: -41\/4, -2, -1, -0.2, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 51*n + 53. Let b be 2 + ((-379)\/159 - n\/(-12)). Is b > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 209*h + 13. Does 21 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:27 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1653, -1658, -1663?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202879.\nAnswer: 202879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2799401 + 2799401 + 25*s**3.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -823\/5. Let i = -11 - -7. Let k = -2 - i. What is the closest to k in s, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8782, 17212, 25642?\n\"Answer: 8430*i + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/7 + 19940*i**2\/7 - 79844*i\/7 - 99780\/7.\nAnswer: 4*(i - 5)*(i + 1)*(i + 4989)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 9*u**2 + 10*u + 10. Let p be z(-8). Let s be (7\/35)\/(p\/(-20)). Factor -j + 0*j**2 + 1\/3*j**3 + s.\nAnswer: (j - 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 4*w - 5 - 21 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002607254 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 14 = 5*a, 9*a + 12 = 2*p - 24 + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1372690 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.1299 and 309854?\nAnswer: 309856.1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 7 (b) -4 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 261*j + 777. Let f be x(3). Solve -14*o + 13*o = -5*t + f, 3*t = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1786 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, n: 7}. Give prob of picking 1 b and 2 n.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 639692?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - sqrt(121)*2)*-2 - (sqrt(121) + sqrt(121) + 4*sqrt(121)*-6 + sqrt(121)))\/(2*sqrt(66)\/sqrt(6) - sqrt(539)*-2))**2.\nAnswer: 5819\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505 - 3131*i + 1016 - 511 + 3119*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 637566 * -8.1.\nAnswer: -5164284.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/576 and -95\/72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, 1, 7, -3 in ascending order.\nAnswer: -3, 0.1, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450734 or -450735?\nAnswer: -450735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -61*i - 1. Let x be a(-1). Suppose -3*m + x = m. Suppose z - m = -5. What is the highest common divisor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-10))*p)\/(p*p\/(p\/(p*p**(-3\/4)))))**(-50)*((p*p**(-10))\/p**3)**31 assuming p is positive.\nAnswer: p**(281\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 110*g**2 - 7*g - 6. Give x(-1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 + 20 + 4)*(-32 + 5 + 8) - 3 + 7 - 2)*(2*b**4 - 3*b**4 + 0*b**4).\nAnswer: 644*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 913 and -148125715887.\nAnswer: -148125714974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1330 - 1033444?\nAnswer: -1040324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23716841.\nAnswer: 23, 983, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275)*-2 + 5 + sqrt(275))*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = 22. Let f(j) = 4*j**3 - 9*j**2 + 13*j + 31. What is the units digit of f(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 0*h - h + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let f(w) = -1. Let b(c) = -6*c + 30. Suppose 5*m + 5 - 2 = z, m = -4*z - 9. Let o(a) = m*b(a) - 30*f(a). Give v(o(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -c + 16, -4*c = c - 3*g - 54. Suppose 38 = 3*w - 4*n, -w = 2*n - 1 - 5. Calculate the least common multiple of w and 26\/(-156) - (-74)\/c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44913 (base 11) in base 6?\nAnswer: -1220515","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 480*n - 3861. What is i(8)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001 - 439 = 4*n + 31*n - 1258 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*t**4 - 265*t**3 - 2334.\nAnswer: -56*t**3 - 795*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8420189ug in tonnes?\nAnswer: 0.0000000000008420189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.443 + -5.943. Which is the biggest value? (a) 0.3 (b) -4\/3 (c) 0.43 (d) -0.2 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t**3 + 2*t**2 - 16*t**3 - 8*t**2 + 36*t + 18*t**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -17\/42*j**7 + 17\/12*j**4 + 0 - 18*j + 0*j**3 + 0*j**5 + 0*j**2 + 0*j**6. Find the third derivative of t(g) wrt g.\nAnswer: -1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:14 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 903\/1409?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*l + 648. Suppose -6 = -o + b - 20, 4*o + b = -l. Let x = 61 - o. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 7*c**5\/15 - 37*c**3\/2 + 139*c**2 - 2*c. Differentiate r(w) with respect to w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580659257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 > -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/(-2)*-6. Let s be -1 - 0 - (-2 + 2 + -2). Suppose s = 6*g - 53. Solve r*x - 3 - g = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 68.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -588 + 605. Suppose 0 = a*i - 26 - 25. Solve 2 = j + 3*y + 5, 4*j + i*y = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 3:38 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3313 - 3311. Let b(n) = n**2 + 6*n - 8. Let s be b(-8). Sort s, o, -5, -4 in increasing order.\nAnswer: -5, -4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550940 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 - 2920*x**3 - 21790*x.\nAnswer: -24*x**2 - 17520*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.6 + -340.9. Let t = 388 + g. Which is the fourth biggest value? (a) -11 (b) 1\/3 (c) 0 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/7))**6)**(-2\/3)*(p**(3\/5)*(p*p\/(p\/((((p**(4\/5)\/p)\/p)\/p)\/p))*p)\/p)**(1\/31) assuming p is positive.\nAnswer: p**(-5636\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 9*i**2 - 4*i + 5. Suppose -4*t - 85 = -49. Calculate s(t).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 109*g**7\/210 + g**5\/60 + 195*g**4\/8 + g**2 - 94. Find the second derivative of t(x) wrt x.\nAnswer: 1308*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/27 and 47\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(12\/22) - 1 - (8 - 1400\/(-714))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 4. Let r be k(6). Let g be 0 + -2 + -94 + 96. Let s = 3 - 7. Sort g, s, r.\nAnswer: s, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2169)\/(-45) - 4\/(-5) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4 and 2 + -6 - (-273)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2631*o**2. Let f(n) = -1897*n. Determine g(f(y)).\nAnswer: 9467940279*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -774? (a) 1\/2 (b) 2\/19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r - 75*r + 7680 = 163*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Which is the closest to g? (a) 1 (b) 3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 2*y - 3. Calculate j(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h + 150. Calculate t(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/4 - 8*g**3\/3 + g**2 + 5*g - 2. Let w be m(7). Calculate the common denominator of (-2 + 5\/2)*w and -45\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(12\/11)*(((q\/(q*q**2))\/q)\/q*q)\/q**(-2))\/(((q*q**(-2\/5))\/q)**(-17)\/((q*q**0)\/q)**(-2)) assuming q is positive.\nAnswer: q**(-549\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/50 and -81\/640550.\nAnswer: 640550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 7613.\nAnswer: -5\/7613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/27 + (-2)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060218?\nAnswer: 2, 3, 58901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2045554 - -5?\nAnswer: 2050003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = h. Let g = 87 - 85. Suppose -g*d - 300 = -12*d. What is the lowest common multiple of d and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14302643, -3, -5.\nAnswer: -5, -3, 14302643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*n = -163*n + 604*n + 22041 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5834670 rounded to the nearest ten thousand?\nAnswer: -5830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*f**3 + 95*f**3 + 102*f**3 + 96*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5043 - 21280?\nAnswer: -21280.5043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16152 divided by -4.\nAnswer: 4038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18*k**3 - 2*k**2 - 7*k - 2. Let f be u(-2). Let a = f + -104. Calculate the remainder when a is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1867941 and 36693.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*-6*(sqrt(68) + (sqrt(68)*2 + sqrt(68) - sqrt(68)) + 1)*4*-4)**2.\nAnswer: 331776*sqrt(17) + 16948224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + -1 + 6)*3\/(-2). Solve 4*p + 12 = -5*y, -3*p + y - n - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -161\nAnswer: 5\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 9*k**2 - 39*k - 5. What is s(4)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8478 + 2839 + 2840 + 2799 - 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 1. Let p = -16 + 18. Suppose 0 = 3*l + p - 5. Let o(r) = 5*r**2 - r + 2. Determine l*o(g) + 3*j(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and 243.\nAnswer: 388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1 in descending order.\nAnswer: 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2)*2\/24. Let o = 1 + 0. Let h = 325 - 329. Which is the second smallest value? (a) o (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 49*b + 878. Let p(y) = -80*y - 1463. Give -8*p(j) - 13*v(j).\nAnswer: 3*j + 290","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4582, 9304, 14026, 18748?\nAnswer: 23470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7682*q - 10373*q = -3025*q + 1728450 for q.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*-4*sqrt(68)\/sqrt(4) - (-5 + 1*sqrt(425) + sqrt(425)*1 + 5)) + 4)**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11.6 (b) -4 (c) 0 (d) 611\/22 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 5. Let x(m) = 2*m - 11. Let j(b) = 6*x(b) + 13*z(b). Let c(t) = 4*t + 38. Let p(l) = -c(l) - j(l). Let g be p(-13). Solve 0 = d - 1 + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 118)*(-6)\/12*-1. Let f(r) = -r**2 - 2*r - 1. Let i be f(-1). Suppose i = -3*p + 11 + d. What is the highest common factor of p and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010000100001010 (base 2) in base 4?\nAnswer: -2222010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/30)\/(2\/(-3)). What is the biggest value in -28, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4 - 7*s - 6 + s**2 + 5. Let o be k(6). Sort 0, 3, o, -7.\nAnswer: -7, o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -43.63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7995 - 3084. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 52 = 5*f, -g - 3*g + 88 = 2*f. Let l = g - 8. What is the remainder when 76 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265875150 rounded to the nearest one hundred thousand?\nAnswer: 265900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 12*t + 16. Determine f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1, 3, 0.67 in descending order.\nAnswer: 3, 1, 0.67, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -89 - (-44 - 32) - -27\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, 529, 1.55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*x = 70, -2*f = x + 3*x - 70. Solve 4*n + f = 5*q, -3*n - 4*q - 6 + 3 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147 (base 9) in base 4?\nAnswer: 210013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13970 and 11015641.\nAnswer: 11001671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + f)*(5 - 1 - 2)*(-2*f - 2*f + 2*f - 3*f - 4*f + 5*f + 0*f - 4*f + 3*f + (2*f + 0*f + 0*f)*(5 - 1 - 2) - 4*f + 3*f - f + 5 - 3 + 2 + 2*f).\nAnswer: 2*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 113*d - 107*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2646*s - 2645*s - 199*s**3 - 45*s**3.\nAnswer: -244*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 7 - 1\/2*q**2 + 0*q. Let n be m(-2). Solve -n*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62975249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5421 or 16?\nAnswer: -5421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/(-100) - 2)*(-4730)\/(-4). Let h = 1587 + i. Suppose 5*y - 9 = z - 25, -z = 3*y + 24. Is h equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 10*m**2 + 11*m + 1. Let r be k(9). Suppose 96 = r*s - 7*s. Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 1. Let u(w) = w - 2. Let v(x) = 6*a(x) + 5*u(x). Let l be v(-3). What is the closest to l in -2, 2\/13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8120 by -35.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -266\/11*p - 94\/11*p**3 - 8 - 270\/11*p**2 - 2\/11*p**4 = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(16636 - 16636 + 89*n) - n - 9 + 9 + 0*n + n - 2*n.\nAnswer: -180*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -4. Let s = x + 8. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 80 = 0. Find the third derivative of 18*o**2 + 2*o**5 + 3*o**5 - y*o**2 wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = 11. What is the common denominator of 1\/4*(-596)\/(-6) and 1\/o*870\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*t + 37 = -t, -4*b - 128 = -2*t. Let k = b + 43. Suppose 9*l = 13*l - k. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 13)*(-1)\/10*(-12 + 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 - 4*p**3 - 9*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*f - 2*f - 78 = 0, -v = 5084989*f - 5084964*f - 650 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*r - 3*r + 15 = 0, 2*n = -2*r + 6. Suppose 0 = 4*f - 7*f + 5*w + 16, n = 2*w - 2. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631448714 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 33*n - 92. Let b be m(-10). Suppose -12*f - b = -14*f + 4*z, 0 = -f + z + 23. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 + 152. Suppose -2*v = -o + 2*v + 155, 0 = -5*v. Let q = o - 89. What is the remainder when q is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + -2*(sqrt(200) - (sqrt(200) + 0)))**2 + -4 + (3*sqrt(200)*3)**2.\nAnswer: 16207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 2*f - 8. Let m be g(7). Let n be m\/(-9) + 2\/9. Find the third derivative of n*x**2 + x**4 + 0*x**2 - 3*x**2 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106053292?\nAnswer: 2, 26513323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (-13)\/3)\/(2\/(-45)). Suppose -4*z + w = 3*o, 3*z + 5 = o + 7*z. Suppose 0*y = -5*y - 2*b + 165, -b = o. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*d**2*w**3 - 5*d*w**2 - 42*w**3 + 7*w with respect to d.\nAnswer: -134*d*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 9, j: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 3*c + c)*(5 + 2 - 1) to i + r*c and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(2\/211*1\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 7*y - 59. Let t(h) = 6*h**2 - 20*h + 177. What is 17*i(p) + 6*t(p)?\nAnswer: 2*p**2 - p + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1372 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 3*j, 0 = -5*j - 15 + 5. Suppose -2*r - 20 = -0*r. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 4*n + 8 = -18*c, 4*c + 17 = 5*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346 rounded to the nearest one hundred?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16290 + -6560. Round n to the nearest one hundred.\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3597 times 0.0109?\nAnswer: -39.2073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = 3*r, 4*r + 0*g + 31 = 5*g. Let j(x) = -1197*x**3 - 209*x**2 + 209. Let z(f) = 23*f**3 + 4*f**2 - 4. What is r*j(h) - 209*z(h)?\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 449 + -437. Suppose 5*k + r = 3*y, -k - y - 4*y = -20. Solve k - 4 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1)*6.\nAnswer: -6 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 12762*b**3 + 1608960*b**2 - 51224576*b.\nAnswer: 2*b*(b - 6253)*(b - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/24)\/((-24)\/(-64))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1235 + -504. Let l = b - 419. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 22*y + 22932. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q. Let k = -1 + -6. Let h = -121 - -126. Calculate the remainder when w(k) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -635 - -635. Let k(f) be the second derivative of -1\/3*f**3 + q + 0*f**4 - 7\/5*f**5 - 24*f + 0*f**2. Find the second derivative of k(m) wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 (base 12) in base 7?\nAnswer: 6643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 - 1.7. Is t <= -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -389 * -128.\nAnswer: 49792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*n - 119 + 227 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amaa when four letters picked without replacement from mmammamvmvam?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7622, -6, -4, 5, -5.\nAnswer: -7622, -6, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 14. Let b(n) = -2*n - 15. What is 6*b(c) - 7*u(c)?\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46581 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/56*(-2)\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/7*y**4 - 2\/7*y**3 + 0*y + 4\/7*y**2.\nAnswer: -2*y**2*(y + 1)*(3*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264499.\nAnswer: 19, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -5*j**2 + 0*j + 4 - 4\/3*j**3. What is the second derivative of o(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*s + 8, -5 = -0*s - 3*s + 4*c. Let z = 81 - 85. Put 5, s, z in decreasing order.\nAnswer: 5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.56 - 2202460.2.\nAnswer: -2202456.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 738.5018 years?\nAnswer: 8862.0216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 2. Let y be h(2). Suppose 0 = l + y*l. Put -1, l, 5 in descending order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, l: 2, r: 2, q: 1}. What is prob of sequence dq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 = 10*a - 89. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 21. What is the second biggest value in 2\/9, y, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509000 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -34*t + 20*t - 4 + 22*t. What is the smallest common multiple of 12 and l(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0344 and 0.1?\nAnswer: 0.0656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.9 and -1016642?\nAnswer: 1016661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4273271727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -40. Suppose -7*g + 4*j = -9*g + 136, 0 = -g + 4*j + 62. What is the remainder when g\/(1\/(12\/18)) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/(-98) + (-5 - -5) + 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2005735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1030, 1028, 1024, 1018, 1010, 1000, 988?\n\"Answer: -k**2 + k + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(14 - 14 - 4*d) + (-1 - 2*d + 1)*(1 + 3 - 2).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 11 = 29. Calculate the common denominator of (2\/(-4)*71)\/(-3) and ((-13)\/(-6))\/(s\/(-18)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 4) to base 5\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 2*l + 2. Let f(i) = -3*i**2 + 5*i + 5. Let v(p) = 2*f(p) - 5*h(p). Let r(g) = -2*g**2. Determine v(r(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78456 divided by 26152.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -9*u + 117. Let v be f(13). Solve -4*d - w = 4, 4 = -4*d - v*w + w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-87880)\/(-18) + (-2)\/(-3). Let w = i + -4891. Let q = -1151\/378 + 11\/14. Calculate the common denominator of w and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9646)\/848 - (-3)\/8 - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f + 13*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-150)\/22 - (-2)\/(-11). Which is the nearest to 1? (a) 1\/4 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 82.83841 millimeters?\nAnswer: 82838.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 - 17*k**4 - 45*k**3 - 43*k**2 - 14*k = 0 for k.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -490377886*x**2. Let j(g) = g. Determine j(o(d)).\nAnswer: -490377886*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.829925 take away 2?\nAnswer: -7.829925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2241, -2, -1, 3, -12, 0 in descending order.\nAnswer: 2241, 3, 0, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2736) + (1 + sqrt(2736) - sqrt(2736)))*-5 + -2 + (sqrt(2736) - (1 + sqrt(2736))) + 5 + 5 + -4)**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 13) to base 14\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 2 w when four letters picked without replacement from {w: 3, s: 5, n: 3, e: 6}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = h + 36, -y - 52 = -3*y - 3*h. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*(1008\/(-30))\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 46 + 10 = 0. Suppose f = -f - m. Is (-2)\/(-7) - 19\/f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*q - 12*q - 28533336 = -157*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*r + 130*r**2 + 513*r - 1028*r.\nAnswer: 130*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -504e9 + -4?\nAnswer: -504ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*k + 2*y = 16, -2*k + 5*y = 31 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 224. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {p: 8, o: 5, z: 2, x: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300 - -300. Let l be (-1 - 1) + 22\/12. What is the nearest to -1\/4 in -4, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6748 = 2*j. Let q = 3431 - j. Suppose 10 = 5*d, c = -4*c - 3*d - q. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141371654?\nAnswer: 2, 73, 968299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**2 - 5*b - 9. Suppose 0 = -4*l - 3 + 23. Let o(g) = -3*g**2 - 2*g - 5. Let z(c) = l*o(c) - 2*j(c). What is the derivative of z(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b6 + -b26?\nAnswer: -c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0, 0.003, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 185347?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 8*r - 3. Let f be s(6). Suppose 2*p - f = 5*b, -5*p + 5 = 2*b - 4. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6165 - -6169. Solve -36*s - u - 176 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 0 - (11 - 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -24*s + 725. Solve -a = -5*w + s, -w = 2*w - 3*a - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from too.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -104, -88, -46, 34, 164, 356?\n\"Answer: 2*b**3 + b**2 - b - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(-12)\/(-54)*645\/344?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 34 - 8*g**2 + 15*g - 4*g**2 + 13*g**2 + 4. Let z be p(-10). Which is smaller: z or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299510 and 806222.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-9)*(0 + -12)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8279 + 8281. Solve -4*g - 21 = -n, 0*n + 8 = -2*g - w*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1*(-4)\/(-18)). Let g = h - 18. Is 7 a factor of (-123)\/g + (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.5, 5, -0.052, 0.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/11)\/((g**(-2)*g)\/g*g)*(g\/g**(-2\/9))\/g**(-2\/11))**43)**(-47) assuming g is positive.\nAnswer: g**(-40420\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 23 - 21 = 0. Suppose 1 + 9 = 5*p. Solve q = 2*v + 4*m, 2*m = p*v + 3 - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {q: 1, i: 2, k: 2, g: 5, y: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2*k + 1)*(1 + 2 - 2) + k - 1 + 1)*(-1 - 2 + 2)*(-2 - 3*k**2 + 2) to the form s*k**2 + x + a*k + j*k**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (38 - 1) + (0 - -10) + -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.4, -1, 12\/7 in ascending order.\nAnswer: -1, -0.4, -1\/4, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3424996 is divided by 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a hour in minutes?\nAnswer: 2370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2187*f**5*z - 22940*f**2*z + 13082*f*z + 1385*z wrt f.\nAnswer: 43740*f**3*z - 45880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 + -7202.\nAnswer: -7231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46877 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.15 - 8.22. Let c = -2.9 + t. Let l = c + -0.03. Put -1\/3, 4, l in ascending order.\nAnswer: -1\/3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 - 5.04. Suppose 22 = -35*o - 48. Which is the third biggest value? (a) o (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -43. What is the common denominator of -2 - x\/(160\/268) and 87\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.19188 + 43.2. Round d to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 25370*l - 1430115. Determine k(-56).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867 and 19897701?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1272 and 47\/26076.\nAnswer: 52152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = -14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 0.167, 2, 0.76, 1\/3, -1 in decreasing order.\nAnswer: 2, 1.1, 0.76, 1\/3, 0.167, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 326. Put k, -3, -0.06 in increasing order.\nAnswer: -3, -0.06, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -2411, -8394, -20115, -39488?\nAnswer: -68427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3018015268 + 0.02.\nAnswer: 3018015268.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnnc when four letters picked without replacement from ncnprovo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 + 81. Suppose m = 3*u - 6. Factor -2 - 100*v**4 + 19*v + 485\/4*v**3 - 139\/2*v**2 + 125\/4*v**u.\nAnswer: (v - 1)**2*(5*v - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -21*o - 24*o + 5*o. What is the third biggest value in 122, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -16817, -1\/5, 2 in descending order.\nAnswer: 2, -1\/5, -130, -16817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 176.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 9. Let a = -7 + y. Let f be 3 + (1 + -3)\/a. What is the nearest to -2 in f, 1\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 9*l**3 + 3045 + 4*l**2 - 3045.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eetttdetettktdtktkfk. What is prob of picking 1 t and 1 k?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 4*d - d + (-5*d + 2*d + d)*(-5 + 0 + 2))*(4*d + 7 - d - 4*d) in the form c*d + q + p*d**2 and give c.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/3*8*135\/(-9936)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + m**2 + m. Suppose -4*j + 4*w - 8 = 4, 5*j = 3*w - 17. Let f(v) = -6*v**2. Determine j*h(b) - f(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142 - 148)\/(10\/1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886220?\nAnswer: 2, 5, 73, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 z when three letters picked without replacement from {n: 6, j: 5, i: 1, k: 3, m: 1, z: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 9?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-993)\/9*1\/(-2). Which is smaller: 55 or t?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t. Let k(u) = 3*u**2 - 3*u - 1. Let w(h) = 2*k(h) - 7*r(h). Suppose -5*l = -2 - 3, -4*o = -4*l + 68. Let x = 18 + o. Determine w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = -27*l + 30*l. Let d be (-2)\/(-11) + 1820\/l. Suppose 15*r = 11*r + d. Calculate the greatest common divisor of 51 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 8 - 0. Suppose -3*g = 2*l - 1, 4*l = -4*g - 0*l - t. Suppose -4*a + 3*q = -142, -a + 28 = g*q - 0*q. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(225))\/(-1*sqrt(400) + sqrt(400) - sqrt(400)).\nAnswer: -sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80.35798974 - -115.3579906. Let r = h - 35. What is r rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*t**2 - 66*t**2 + 133*t**2 + 15*t + 23*t + 4*t - 528.\nAnswer: 3*(t - 8)*(t + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v + 128 = 70*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118.78 + -115. Let x = -0.22 - k. Which is the second biggest value? (a) -0.1 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -6.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1175*b + 4690. Calculate s(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8040.687 milliseconds to microseconds.\nAnswer: 8040687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177722774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 71 (b) 2\/9 (c) 3 (d) -10 (e) -1\/5 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:05 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.6586 - 1.0592. What is q rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3659997)\/2 + (-75)\/10 + 6. What is h rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543997?\nAnswer: 543997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 209, 5, 0 in decreasing order.\nAnswer: 209, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2890*q + 523*q + q**2 + 2 - q**2 - 2*q**3.\nAnswer: -2*q**3 + 3413*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + -66. Let t(d) = -11*d + c - 24 - 32 - d**2. Let s be t(-10). Solve 11 = 5*j - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 16393.\nAnswer: 19\/16393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-9)*-2 - 916\/(-9). Let u = 26 + a. Let f(y) = 3*y - 2. Let w be f(6). What is the greatest common divisor of w and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337706.2 days to microseconds.\nAnswer: 29177815680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-91)\/(-26) - 3*(-2)\/(-4). Let v be (288\/3456)\/(-3*p\/(-9)). Let -1\/2 + 1\/2*j - v*j**2 = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 2 = 0. Factor 1\/3*t**u + 0 - 1\/3*t.\nAnswer: t*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6388, 12789, 19194, 25603, 32016, 38433, 44854?\n\"Answer: 2*v**2 + 6395*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from kgggkeeegnccegngc.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 5)*(i**3 + 3*i**2 - 3*i**2) - 2*i**3 + 2*i**3 - i**3)*(2 - 1 + 2).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) 1 (c) 0.054 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 24*x**3 + 3*x**2 + 598*x - 8. Let d(n) = 23*n**3 + 2*n**2 + 599*n - 6. Let q(v) = 4*d(v) - 3*m(v). What is the second derivative of q(c) wrt c?\nAnswer: 120*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -409*r*s - 433*r wrt s.\nAnswer: -409*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/3 + 152*d**2\/3 + 728*d - 9408 = 0.\nAnswer: -42, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -119140455 divided by -3\nAnswer: 39713485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zncnzznc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -40*(-6)\/45*6\/(-4). List the prime factors of 2369\/3 - n\/24.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46562266651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 12) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/15)\/((-70)\/(-105)) + (-53)\/(-5). Let q(v) = -v**3 + 6*v**2 + 2*v - 3. Let r(h) = -3*h**3 + 13*h**2 + 5*h - 7. What is i*q(n) - 4*r(n)?\nAnswer: 2*n**3 + 8*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/((x\/((x*(x\/(x*x**(1\/3)))\/x)\/x))\/x)))\/x)**(-39))**16*(x**(-5)*x**3)\/((x\/(x\/(x**(1\/5)\/x)*x)*x)\/x*x*x**(-5)*x*x) assuming x is positive.\nAnswer: x**(-1031\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.60000018 - 0.6. What is t rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {q: 2, i: 5, h: 1, x: 1, k: 6, v: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 304.92 and -0.03115?\nAnswer: 304.95115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. Let x(s) = 5*s + 4. Let w(z) = -12*z + 48 + 2*z - 57. Let k(u) = 4*w(u) + 9*x(u). Calculate k(m(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + c567a?\nAnswer: c567a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 634.58?\nAnswer: 634.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -689332 (base 10) to base 13.\nAnswer: -1b19b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/14)\/((-34)\/204)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 1755*c**2 + 15 - 1749*c**2.\nAnswer: 6*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -152, -141, -112, -59, 24, 143, 304?\n\"Answer: p**3 + 3*p**2 - 5*p - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 + 4*j + 3. What is the remainder when f(-6) is divided by (-312)\/(-21) + 6\/294*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3588.\nAnswer: -1\/1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.6 (b) 0.045 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1 (c) -1\/45 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(-3 + sqrt(128)))**2.\nAnswer: -3888*sqrt(2) + 11097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*((-25)\/5)\/(-15). Let b(k) = k. Let d(x) = x**2 - 2*x. Determine y*d(v) - 2*b(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35812.\nAnswer: 2, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*t**2*u*v - 266601*d*t**2*v - 5933*d*t*u**2*v - 7*d*t*u**2 + d*t + 7*d - 3*t**2*u**2 + t*u**2 + 2*u wrt t?\nAnswer: -2*d*u*v - 533202*d*v - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -1)\/(476\/(-49) - -10). Suppose 4*w - m = 14. Let k(r) = 6*r - 6. Let s(z) = 11*z - 12. Calculate w*k(j) - 4*s(j).\nAnswer: -2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1514, 5883, 13158, 23339, 36426, 52419?\n\"Answer: 1453*n**2 + 10*n + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 11, d: 2, p: 6}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523438544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54508038 or -54508039?\nAnswer: -54508038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -16. Determine f, given that 13*f**2 - 3*f**5 - 2*f - x*f**2 + f**4 + 12*f**3 - f**5 = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 70667, 3, 1.\nAnswer: -6, 0, 1, 3, 70667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -65*v**2. Let p(y) = 2*y**2 + 689*y. Give p(j(u)).\nAnswer: 8450*u**4 - 44785*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 11. Let j(h) = -h - 6. Suppose 0 = 84*c - 79*c - 35. Calculate c*j(r) + 4*z(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*y - 15, -2*y - 4*m + 20 = -0*m. What is the third derivative of 10*x**4 - 8*x**6 + 18*x**6 + 8*x**4 + y*x**2 - 12*x**6 wrt x?\nAnswer: -240*x**3 + 432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 231352183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8561 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/8 (b) 1\/7 (c) -3\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 779.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 1. Let z(x) = -x**3 - 3*x**2 + 1. Let o be ((-1 + 1)*1 + -1)\/(-1). Suppose 2*d + 1 - 7 = 0. What is d*b(v) + o*z(v)?\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 152*s**2 - 37980*s + 1036800.\nAnswer: 4*(s - 45)**2*(s + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/151620 and -157\/75810?\nAnswer: 151620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 - 2*x + 17. Let g be n(7). Solve -7*b + 2*b + g*d - 7 = 0, 9 = -5*b + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839\/145 at most as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13096 + 13108. Let t(j) = -2*j**3 + 25*j**2 - 11*j + 14. Determine t(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102a06 (base 12) to base 14.\nAnswer: -b80bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203027263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*u - 26 = -u, -4*u + 8 = 0. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192 - 276. Let d = u + 132. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7753.55 kilometers to millimeters.\nAnswer: 7753550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300590 is divided by 287?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 6*q - 3. Let p be v(-6). Suppose 5*j + h = 231, -4*h - 3*h = -5*j + 143. Calculate the greatest common factor of p and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -61*g + 25. What are the prime factors of 2\/4*g*-10*-3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3152745 and 3285?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -483, -1665, -4005, -7899, -13743, -21933, -32865?\nAnswer: -46935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**5 + j**3 - j**2 - 2*j + 1. Let z(r) = r**5 + 48*r**4 - 875*r**3 + 7508*r**2 - 30776*r + 48598. Let k(o) = 4*p(o) + 2*z(o). Factor k(u).\nAnswer: -2*(u - 15)**2*(u - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 587*r**3 - r**2 + 3*r - 2. Is c(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 259992 and 115552.\nAnswer: 1039968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyqyq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6043 a factor of 1996522598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-3)\/(-6))\/((-22)\/((-12584)\/(-66))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2 - 598*m + 82. Give z(60).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 72*j + 12. Let c(b) = 36*b + 7. Determine -7*c(w) + 4*g(w).\nAnswer: 36*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94100 is divided by 1912.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -1812*a**2 + 34*a**3 + 779 - 169*a**3 + 126*a**3 + 427 - 597*a = 0.\nAnswer: -201, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1480 and -72474\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-3) + 24*8\/16 is divided by -2 + -1*-1*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 33. Let o be w(-16). Let h be (0 + 1)\/(o\/(-8)). What is the greatest common factor of h and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0 + 2. Suppose -4*j = 3*h - 43, 4*h + s*j - 26 = 2*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 3*d + 0*d)*(4*d - d - 11*d)*(4*d**2 - 4*d**2 + d**2) in the form r*d**4 + n*d**3 + w*d + f*d**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 27924*b\/7 + 11970.\nAnswer: -2*(b - 13965)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 + 4. Let t be o(3). Let i(z) = 5*z - 4. Let s be i(4). Let w = s + t. Sort w, -3, -2 in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 6, r: 9, v: 2}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6601 is divided by 1302.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1318 (base 9) to base 16.\nAnswer: 3dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(10\/((-240)\/252))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/((o\/(o*(o\/((o*o\/(o**(-3\/13)*o))\/o))\/o))\/o))\/(o**(-3))**(1\/31) assuming o is positive.\nAnswer: o**(3170\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1853 or 1859?\nAnswer: 1859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqn. Give prob of picking 1 j and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxjjjjxjjjxxjjjjjj. Give prob of picking 3 j.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 7 - 2*o**4 - 6*o - 3*o**2 + 6 as p*o**4 + d + g*o**3 + x*o**2 + m*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 840 and 460320?\nAnswer: 460320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(48)\/sqrt(6)*-1 + ((1*sqrt(8) + sqrt(8))\/sqrt(2))\/(-6*1*sqrt(2)) + -2.\nAnswer: -7*sqrt(2)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 126 = -0*g. What is the common denominator of -41\/6 and g\/231 + (-2 - 0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67056229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 518 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -217583, -219121, -220659, -222197, -223735?\n\"Answer: -1538*b - 216045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -487 and 52721.\nAnswer: 52234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/((-363)\/1067))\/(2*(-6)\/(-36)). Which is smaller: -0.3 or l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**15*k*k\/k**1)**24 assuming k is positive.\nAnswer: k**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15071373 a multiple of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + s**2 + 2*s + 6. Let r(f) = 75*f - 692. Let y be r(9). Let p(j) = 14*j**3 - 3*j**2 - 6*j - 17. What is y*q(l) - 6*p(l)?\nAnswer: l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5520*z - 5*n + 50 = -5490*z, -10 = -5*z - n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 110665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48, 1\/16, 4\/3, -4, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 + 4. Let w be d(-2). Solve w = -0*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 245*k + 4293. Give m(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) 68358 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36\/1277?\nAnswer: -36\/1277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 = 8*k + 29*k + 39 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 25\/(-2). Suppose 68 = -4*b + 8. Let t be ((-18)\/b)\/(6\/20). Solve 0 = -t*p - 2*f - y, -9 = p + 2*p - f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1291968804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -471791732473\/39185244 + -170\/1399473. Let v = 12042 + q. What is the common denominator of 73\/8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7)\/(-2)*(-154)\/198.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -296503*q**4 - 75*q**3 + 303214*q**2 + q + 152 wrt q.\nAnswer: -7116072*q - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**2 + 31*m - 10. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*q = 137*q + 85. Solve -q*x = x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hokokkgohtb. Give prob of picking 1 h and 1 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Let v(c) = 0 + 14*c**2 - 2 + 2. Calculate f(v(p)).\nAnswer: 196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002322 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31537 divided by -891?\nAnswer: 2867\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 2 + sqrt(275))**2*3.\nAnswer: 120*sqrt(11) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4, 0 = -2*d + 377*o - 372*o + 668. What is the remainder when d is divided by ((-696)\/30)\/(4\/(-10))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -c - 5*k, -5*c + 6 = k - 113. What is the units digit of 59\/2 + 12\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -9056323357.\nAnswer: -9056323357.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36008, -71911, -107708, -143399?\n\"Answer: 53*u**2 - 36062*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*o = -79*o - 78 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2))**(-2\/9)*((d**0*d)\/d*d)**(2\/53) assuming d is positive.\nAnswer: d**(124\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 377711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(30)\/(sqrt(24) + sqrt(6)) - sqrt(5)) - (sqrt(264)\/(sqrt(33)\/sqrt(3)))\/sqrt(12).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183547531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.41 and -8.6.\nAnswer: -8.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 - 135. Let x = a + -52. Suppose -50*m + x = -49*m. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 40 = -0*u. Let r be 0 - (-3)\/(3\/5). Suppose -8 = r*z - 3*z. Are u and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*t + 16*t - 214 = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 + 559. Suppose k = i*n - 73, k + 47 = 2*n - 0*k. Calculate the highest common divisor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 79*i - 25*i - 18*i - 18*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6476, 17922, 34348, 55754, 82140, 113506, 149852?\nAnswer: 191178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**3 + 0*q**2 - 2\/15*q**6 + 0 + 3*q + 0*q**5 - 1\/6*q**4. What is the third derivative of d(s) wrt s?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 480 (b) 1 (c) -3 (d) 2 (e) 0.955\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1*1\/(-1). Suppose -5*x - 2*k + 16 = 2*k, -5*k = -4*x + 21. Factor 4*p**2 - p**2 - x*p**v.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 2*s**2 - 3*s. Let u be a(-3). Let r(x) = -8776*x + 116 + x**3 + 8778*x - 3*x**3 + 3*x**3. What is the hundreds digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.88988*-0.15.\nAnswer: 0.133482","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = d - 42, -4*d + d = 3*q - 96. Suppose 0 = 4*v - 79 + d. Solve 4*m = -3*w + 31, -3*m + 8*w - 3*w - v = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1642\/3 - -571. Calculate the common denominator of -91\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p + 183*p**3 - 229*p**3 - 91*p - 9.\nAnswer: -46*p**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 5, f: 15}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y = 1. Let w = -1 - -1. Sort 5, y, w in decreasing order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347776?\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*m*p - i*p**3 + 161146*i*p**2 + i - 19*m*p**3 - 91761*m with respect to i.\nAnswer: 2*m*p - p**3 + 161146*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2412 + -2416. Let q(l) = 4*l + 4. Let x(y) = 3*y + 3. What is f*q(h) + 5*x(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 + 0*t**4 + 0*t**4 + (t**4 - 2*t**4 - t**4)*(5*t - t - 6*t) - t**5 + 3*t**5 - t**5 + (3*t - 2*t - 3*t)*(-4*t**2 + 3*t**4 + 4*t**2).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200100112000 - 21111?\nAnswer: -2200100210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-23 - -15) + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -136.8. Let d be ((-10)\/(-4))\/((-143)\/22 - -6). Sort d, 11, i, 3\/5 in descending order.\nAnswer: 11, 3\/5, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/30 - -1) + (-62)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 2*i**3 - 48 + 118 + 3*i**2 - 37 - 30.\nAnswer: -2*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1102724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 - 3*k + 3. Let r be y(2). Suppose -7*c - r = -22. Suppose 32900375 = c*p + 10700375. Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 13*s + 30 + 13 - 33 + 41.\nAnswer: 10*s + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 138, 4, 123303.\nAnswer: -2, 3, 4, 138, 123303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**4 - 14721*m**3 - 5418432*m**2 - 541696*m = 0.\nAnswer: -736, -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -4. Let q = -18 + 20. Factor p*i - i**q + 0*i**2 - 3*i - 1.\nAnswer: -(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 13 = i, 3*i - 6*o + o - 45 = 0. Let z = i - 5. Let x = -16 + 30. Calculate the remainder when x is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 978825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*o - 20*o + 70 - 14*o + 68 + 102 as c*o + k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, -6451.18, 0, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 139, 548, 1253, 2278, 3647?\n\"Answer: 4*w**3 + 124*w**2 + 9*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 4*y - 2. Let x be h(-4). Does 2 divide x\/6 + 30\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2\/2 - 571869*x + 21728856 = 0.\nAnswer: 38, 381208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 - 1207830*c + 72942665445 = 0. Calculate c.\nAnswer: 120783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/30)\/(3\/12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13536228 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 - 1) + (163 - 77) + -72?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132*-1852477.\nAnswer: -244526964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3. Let w(b) = 4*b**3. Let j(p) = p**2 - 6*p + 3. Let q be j(5). Let x be (1 - q)*(-3)\/(-3). Determine x*d(f) - 4*w(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2591 plus -1?\nAnswer: 0.2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 + -115?\nAnswer: -115.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 6 - 6 + (-3*z - z + z)*(-1 + 1 - 2*z) + 0*z + 11*z**2 - 20*z**2 - 2*z to m*z**2 + q*z + h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 5, 6, 13, 26, 45, 70?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2248, 4319, 6388, 8455?\n\"Answer: -j**2 + 2074*j + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 2*q**2 + 2*q - 4. Let x be j(2). Suppose 3*v - 9 - 3 = x. Is (-504 + v + 2)*1\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 2. Let a(x) = -x**2 + 4*x + 16. Let i be a(7). Let s be b(i). Find the second derivative of -8*d + s*d**2 + 4*d**2 + 5*d wrt d.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**3\/3 + 9*q**2 + 44*q - 224. Let w(x) = 0. What is x?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29b974c (base 13) in base 14?\nAnswer: 1ab006a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -5.7. Let s = 2.8 + -0.8. What is the second smallest value in s, -2, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30661, 30654, 30651, 30652?\nAnswer: 30657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**3 - 11*q**2 + 6*q - 3. Let o(s) = -6*s**3 + 12*s**2 - 7*s + 4. Give -6*d(f) - 5*o(f).\nAnswer: -6*f**3 + 6*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -19*z - 15. Let u be a(17). Let k = u - -340. Solve k*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0 + 0*f**5 + 0*f**2 + 0*f**4 - 2*f - 1\/2*f**3 - 1\/15*f**6. What is the second derivative of g(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = 3443*r - 3442*r, 0 = -5*o + 2*r - 3*r + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:55 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let i(c) = -4*c**2 + 7*c. Determine i(j(p)).\nAnswer: -36*p**2 + 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*a**2 - 17275*a + 672410?\nAnswer: -160*a - 17275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -6*((sqrt(252) + -2 - sqrt(252)) + 4 + sqrt(252)) - (3 + sqrt(252)*2 - (sqrt(252) - (5*3*sqrt(252) - sqrt(252))))) + 3)**2.\nAnswer: 3780*sqrt(7) + 111357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(605) + -4 - sqrt(605) - sqrt(605) - (sqrt(605) + 1 + (sqrt(605)*-1 - sqrt(605))))**2)*3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130593 < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.32 + 2.42077983378.\nAnswer: -4.89922016622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 22*v + 139. Let m = -919 + 913. What is the remainder when 187 is divided by n(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -26. Suppose -59*h = -72*h + 26. Suppose -16 = -4*y + 2*d, h*y - 12*d + 10*d = 12. Solve 5*u = -2*v + 10, -y*v + 5*u + k = 2*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5\/20 - 7*f**4\/16 + f**3\/2 + 4*f**2 - 8*f - 4290. Factor n(z).\nAnswer: (z - 4)**2*(z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Let q(a) = -a**2 + 21. Calculate 2*k(g) + q(g).\nAnswer: -g**2 - 2*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**3 - 93*j**2 + 49*j - 28. What is the lowest common multiple of l(15) and (24\/(-10))\/((-12)\/160)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386 (base 12) to base 16\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(75)*-2 - sqrt(75)) + 2)*-3 + 2 + -2))**2*-6.\nAnswer: -36666 + 3240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.403*-4.\nAnswer: 229.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:25 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 271 + 11?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 99, -10 in decreasing order.\nAnswer: 99, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32305890*q**2 - 28983646.\nAnswer: -64611780*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let v = 3.1 + -2.1. Which is bigger: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 + (-20)\/(-5)*15\/12 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 14 + 33*g - 8.\nAnswer: 33*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2727)\/54)\/(4\/(-56)) a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*p + 12*p + 3 - 405*p - 238*p.\nAnswer: -837*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-12)\/8*(6 - 4). Suppose f - q*s - 82 = s, 3*s + 81 = f. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657.600043 rounded to two decimal places?\nAnswer: 657.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventy-five eighths of a microsecond?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 212. Let a = h + -26. Calculate the remainder when a is divided by 9 + 4 + (5 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5015*p - 213791. Give f(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5323202 - 4?\nAnswer: -5323210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - (6 - 5)) + (33 - 38)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:12 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -813215*d*t**3 - 23*t**3 - t - 107871 wrt d?\nAnswer: -813215*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 152*i**2 + 118*i**2 + 7*i.\nAnswer: 270*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, 6, -9, 64\/3, -289?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:53 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 9:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:22 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 447985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9075?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2032)\/(-56) - (-2)\/(-7). Suppose -18 = 3*y + j. Let k = y - -29. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6658*c**3 + 492680*c**2 + 9113914*c - 16428 = 0. Calculate c.\nAnswer: -37, 6\/3329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009.209 rounded to the nearest integer?\nAnswer: -1009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 87, 192, 339?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqk when four letters picked without replacement from {y: 4, k: 1, j: 3, q: 5, u: 1, g: 3}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*y = -131*y - 62899770000. Round y to the nearest one million.\nAnswer: -208000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {s: 2, q: 2, n: 1, h: 8}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 634418*b + 634593*b - 1269011*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*i - 6763 = -271*i + 18057 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-20) - ((-186)\/(-4) + (-128200)\/2564)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*g - 108*g + 4 = 0. Which is the closest to -33? (a) g (b) 0.4 (c) -3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 16*t - 554. Let b be j(33). Solve b*g + 4*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -338160 (base 9) to base 2.\nAnswer: -110001100000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316866651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, y: 1, n: 3, g: 4}. Give prob of sequence lg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 108, 0.4, -2\/49?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7167 = o, 103*a - 4*o - 17950 = 98*a. What are the prime factors of a?\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2648016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 105*t + 1211. Let r be p(-11). Solve 0 = -5*h - 9*h - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from wdwwwwwwdwgdddwwgd.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(3 + (-1 - 2)). Let k(u) = -u - 2. Let j be k(x). Let v be 1\/7*(0 + j). What is the closest to v in -1\/5, 2\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(152)\/(sqrt(16)\/sqrt(2)))**2*2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32151)\/7*-1 - 11. What is the greatest common divisor of 58 and z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*j + 16 + 49, -y + 15 = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.963212 rounded to 1 decimal place?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*3*-5 + -3*sqrt(156)*-2)\/(-1*sqrt(48) + 3*sqrt(72)\/sqrt(6)) + -1.\nAnswer: -8*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 85. Suppose -5*b = h - 0*h - 89, -4*b = -4*h - 52. What is the remainder when 100\/8*z\/1 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:48 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255023, 255020, 255017, 255014?\nAnswer: 255011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1401 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/21 - (-7156736)\/672. What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -330108, -660191, -990274, -1320357, -1650440, -1980523?\n\"Answer: -330083*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 2 - 5 + j**2.\nAnswer: 3*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15)*(10\/12)\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 - 7*q**3 + 119*q**3 + 11255*q**2 + 26*q**3 - 11255*q**2.\nAnswer: 124*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -738072+0.102\nAnswer: -738071.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 138*z - 4*z**2 + 0*z**2 + 181 + z**2 - 139*z.\nAnswer: z**2 - z + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)\/((-33473110)\/(-5578850) - 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5 + k**3 + 6*k**2 + 25*k - k**2 - 28*k. Let c be x(-5). Let a(m) = 9*m - 8. Let t be a(2). What is the greatest common divisor of c and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -31*q**2 + 110*q + 74. Determine x(-5).\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4 - 22*y**3\/3 + 11*y**2 + 22*y + 46. Let z(b) = b**2 - b - 1. Give 2*r(w) + 44*z(w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49451354 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 7.78. Let r = -5.12 - q. What is the biggest value in r, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/520 - 89\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b - 0. Let n(a) = 2*a + 4. What is the smallest common multiple of b and n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.3. Let w be 30\/440*(-10)\/6. Let j = w - 1\/88. What is the biggest value in j, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42 and 1 + 219*2\/60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 9\/68 (b) -0.05 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 168\/(-5882)*-6 - (-43 + (-26244)\/(-612)). Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*a + 12128, -25*b + 28*b + a = 18192. Suppose 11*j - b = -5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 = -2534*n + 2556*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1243 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/7, 1, -1\/5, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2 - 6*j + 6. Let g(h) = -13*h**2 - 11*h + 11. Let c(l) = -6*g(l) + 11*y(l). Let m(s) = -2*s. What is m(c(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjttjjjjjtjjjtjjjj. What is prob of picking 3 j and 1 t?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t - 2. Let j be w(3). Let p = -1 - j. Let o = p + 45. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httyhahha. What is prob of picking 1 y and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 317781 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 6*z - 2. Let w be r(-4). Suppose 0 = 2*h - w*h. Let c = 4 + h. Let g(u) = u**3 - 5*u**2 + 4*u - 5. Calculate g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/25520 and 119\/468640.\nAnswer: 5155040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 570*m - 589*m + 2774. Solve -14 = -m*f + 153*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4418 + 4428.564. Let u = -0.424 + o. Let s = -10 + u. What is s rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11964 + 78282 = 14*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*w + f - 284, -4*f + 8 = 0. Let p = w + -139. Suppose 0 = -d - x - 1, -6 = 7*x - p*x. Solve b - d = -2*g - 5, 4*b - 36 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.5 and 19.5.\nAnswer: -809.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157490563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**3 - 2*q**2 + q + 1. Determine a(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -4\nAnswer: -141\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-724070)\/2486421 + (-1)\/(-14)*4 and -1\/3.\nAnswer: 5823","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.8?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/28 + 1012\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*f = 115*f - 15. Find the third derivative of 0*m + 221*m**3 - f*m**2 - 160*m**3 + 0*m wrt m.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4000965509 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s**2 - 43*s**2 + 6*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32628703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/731 and -45\/60146.\nAnswer: 2586278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/13308 and 71\/20.\nAnswer: 66540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41068816 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9545.113 weeks in microseconds?\nAnswer: 5772884342400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -3 (c) 12\/17 (d) -17 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9840013, 19680028, 29520043, 39360058?\n\"Answer: 9840015*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0.7. Let a = g - -1.3. Put a, 2\/15, 5 in descending order.\nAnswer: 5, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22802806 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003743 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 760.1, -5\/3, -5\/431?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**3 + d**3 + 6*d**3)*(-563 + 4064 + 765).\nAnswer: -12798*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w + 152. What is the tens digit of (w\/(-8))\/(4\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 48. Let f(u) = -3*u + 50. Let m(i) = -3*f(i) + 4*y(i). Let w be m(-10). Solve -7 + w = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30042 by 6.\nAnswer: -5007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 211221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 300\/(-450) - -14*(-2)\/(-6). Suppose 5*w - 3*p = 2*p + 35, f*w - 2*p = 30. Solve 10*n - 6*n = -w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 195*w**2 - 236*w + 930. What is q(4)?\nAnswer: 3106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130122514*t**4 + t**2 - 571946681 wrt t?\nAnswer: -3122940336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617033?\nAnswer: 29, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 g when four letters picked without replacement from {g: 7, u: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 9. Suppose 3*s + l*h = 245 + 622, -2*h = 0. What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-142 - -115) - 111\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (16\/(-4) - -1). Let t(s) = 132*s**2 - 7*s - 9. Calculate the least common multiple of 20 and t(l).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -265128.\nAnswer: 35\/132564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x - 1. Let z = 0.023 - 3.023. What is the third smallest value in z, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 2*x**7\/21 - x**4\/12 - 15*x**2. Find the second derivative of n(s) wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 172, 388, 692, 1084?\n\"Answer: 44*p**2 - 4*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 32.9999979. What is y rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -301222013112?\nAnswer: 301222013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4*s - 3*s)*(-3*s**3 - 35*s + 35*s + (-4*s + 2*s + 0*s)*(4*s**2 - 2*s**2 - 3*s**2)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r**2 - r + 1. Suppose -n - 5 = -6*n. Let h be n\/(1\/4) - 3. Determine l(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:01 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acy when three letters picked without replacement from {y: 3, a: 4, c: 6}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191360)\/43264*(-26)\/10?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-168)\/100)\/((-6)\/(-15))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquqquuuqququqquququ. What is prob of sequence uqu?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23281 (base 9) to base 7.\nAnswer: -63214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416 + 393.2. Let n = 22.947 - -0.053. Let g = w + n. What is the closest to -1\/3 in -2, -3\/5, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -w - w + 5*v, 230 = 5*w - 2*v. Suppose 20 = n - 2. Calculate the greatest common divisor of n and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*t + 11, 7*a + t + 7 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20977\/9 + 2334. Find the common denominator of x and ((-17)\/(-102))\/(-1*4\/(-182)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 + -256. Let c(j) = -j + a*j - 4 - 6*j - j. What is c(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) -2\/11 (c) -0.19 (d) -5 (e) -236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*r - r - 394, 0 = 3*r + 2*n - 292. Factor -m**2 - 2*m**2 + 86*m - r*m - 12.\nAnswer: -3*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 12*z + 13 - 1218*z**4 + 1219*z**4 - 10*z**2 as x*z + n + l*z**3 + g*z**2 + a*z**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1301*r + 1305*r + l = 93, 0 = -5*r + l + 132. Factor -r*p**2 + 25 - 5\/2*p + 5\/2*p**3.\nAnswer: 5*(p - 10)*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 9. Suppose 10 = 3*d - o. Let b = d - 4. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(441) - sqrt(42))\/((sqrt(384) - sqrt(6))*-2).\nAnswer: 3*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2 + -11 + 0. Let b be (-2 - (-15)\/9)*w. Sort b, -1, -3 in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2420, 2415, 2408, 2399?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 250\/15 - (-2)\/(-3). Suppose 0 = 5*w - d - c, -w + 5*d - 1 = -9. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 110*x\/7 + 16.\nAnswer: -2*(x - 56)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t = -326 + 407 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:42 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82189\/21 + 3913. Calculate the common denominator of 11\/9 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 383 in 0.2, -2, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5658 is divided by 1362.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117408 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 22*s**2 - 6*s**2 - 12*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/18)\/(f*f\/(f\/(f\/f**(-9\/2)))*f)*f**6*f**(2\/19)*f)**(-48) assuming f is positive.\nAnswer: f**(928\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**6\/3 + m**2\/2 + 13*m. Differentiate u(q) with respect to q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6.6. Let v = 0.9 - -0.1. Let l = u + v. Round l to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*m = -224, -6 = 2*m - 4. Let s = -73 - d. Round s to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 3*d - 2*d)*(3403*d - 1041047 + 1041047)*(-2 - 1 + 5) as b*d + f*d**2 + h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m + 128 = 16*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(2\/19)\/f*(f*f*f*(f*(f\/(f\/(f*f**(3\/4))))\/f)\/f*f)\/f*(f*f\/(f\/(f\/(f**5\/f))))**(-19) assuming f is positive.\nAnswer: f**(3181\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 138*x - 133*x - 30 = 0, 4*x = -2*t + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 756704 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13684206?\nAnswer: 2, 3, 31, 73571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3303 + 3624. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 5.13.\nAnswer: -71.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82578 + 113021 - 621899 = -61*v. Does 52 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 17*i + 49. What is the lowest common multiple of n(16) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/5))**(-2)*p**(-4\/5)\/(p**0*p*p*p)*((p\/p**(-6)*p)\/(p*((p*p**(-7))\/p)\/p*p))**(-3\/17) assuming p is positive.\nAnswer: p**(-127\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112154?\nAnswer: 2, 7, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmm when three letters picked without replacement from {g: 1, z: 1, c: 1, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:01 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43354?\nAnswer: 2, 53, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**44*d\/(d\/(d\/d**29))*d**(7\/2)*d*d**4*d assuming d is positive.\nAnswer: d**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*q, 2*x - 794*q = -792*q - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 11*a + 5*x - 125 = 0, 5*a = -x + 109. Suppose -46 = a*y + 2*y. What is the closest to 2\/5 in -3, -5, y, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/14)\/((-2)\/(-28)). Let p(g) = g + 22. Calculate the remainder when p(w) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 + 2*o. Let m be x(4). Let c = -13 - -18. Suppose -15 = -0*i - c*i. What is the greatest common factor of i and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(-3*(-2 + sqrt(325)) + (sqrt(325) - -3*(0 + sqrt(325)))))**2 + -5).\nAnswer: -6488 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + d + 11. Let h be 30\/(-25) - ((-144)\/(-30) - 6). What is s(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1514290*h - 573268551025.\nAnswer: -(h - 757145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242222731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/3624829 and 9\/5261.\nAnswer: 3624829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 22001919?\nAnswer: 176015352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-20)\/16 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1191281473*k*m**3 + k*m - 824330344*m wrt m?\nAnswer: -7147688838*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let h = -1244\/7 + 178. Let t = -6.8 + 7. Which is the nearest to 0? (a) t (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 1.5. Let m = w - 0.5. Which is the nearest to 1? (a) m (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -217 (c) -1\/189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/3 - 770947*u\/3 - 6167512\/3 = 0?\nAnswer: -770939, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-66) - 22\/55*15\/(-18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2671837 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -144 + 120 - ((1 - 3) + -88).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 64?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8461766 is divided by 360.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgwa when four letters picked without replacement from sapssswwggsgspaw?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {o: 5, a: 2, r: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -510, -536, -582, -654, -758?\nAnswer: -900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/10)\/(-78 + 5835\/75)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vxvxxvx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szz when three letters picked without replacement from {s: 2, z: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2829)\/3075 + 0 + 1 + 0?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 5*x**2 - x - 8. What is u(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/107 in -1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -571, -596, -609, -604, -575, -516, -421?\n\"Answer: n**3 - 32*n - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjzs when four letters picked without replacement from zlzrjrzzsz?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*s + 198*s - 298*s.\nAnswer: 174*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 25*b**2 - 24*b - 141. Let n be t(-12). Solve -v - 13 = -42*g + 47*g, n*v + 11 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 329*j**4 + 1794*j**3 + 8136*j**2 - 70816*j + 119424.\nAnswer: (j - 4)**3*(j + 6)*(3*j - 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -299 + 1369\/5. Let o = i - -26. Factor 2\/5*v**2 + o*v**3 + 0 - 2\/5*v**4 - 4\/5*v.\nAnswer: -2*v*(v - 2)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + h - 2 = -3*f, 4*h = f - 5. Let v(m) = 10*m**3 + m**2 - m. Let j be v(f). Calculate the greatest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(62\/(-12))*(-89)\/(-267)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 6*c**2 + c + 5. Let z be y(-6). Let v(f) = -11 + 7 - 184013*f + 2 - 31989*f. Let x be v(z). What is x rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 193 - 318 - 505 = 0 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675771 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33\/5 + 241\/35. Let a = 0.1 - 0.6. What is the third smallest value in 1\/10, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*((-19596577)\/78)\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u - 387*u - 7004 = 80*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 327*x**4 - 1438 wrt x?\nAnswer: 1308*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3\/7 (b) -3 (c) 270 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 + 398*q**4 + 866*q**3 - 12278*q**2 - 36864*q - 24120 = 0. Calculate q.\nAnswer: -5, -2, -1, 6, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1447, -4, -7598, -1 in decreasing order.\nAnswer: 1447, -1, -4, -7598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 16*s**2 - 24*s - 342. What is u(-9)?\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201221 (base 3) to base 14.\nAnswer: -a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - c = c - 1, -3 = -3*x + 5*c. Let f be 10\/(2\/1) + x + -4. Solve 2*y + 2 = q, 5*q = f*q + 3*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 4*f**3\/3 + 206*f**2 - 416*f + 4890. Factor t(h).\nAnswer: 4*(h - 1)*(h + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43003979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 139*c**8\/28 + c**4\/24 + 49*c**3\/3 + 25*c**2 + 2*c. What is the second derivative of l(f) wrt f?\nAnswer: 33360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1234893563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 10*l**2 - l - 8. Give o(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/7 + 102*b**2\/7 + 2385*b\/7 - 11236\/7 = 0.\nAnswer: -53, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52\/14 - 2\/(-7). Let w = -1 + 3. Let t(d) = -3 - d**2 + 3 + w*d. Determine t(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 - 2. What is h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 2638818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2021 (base 3) to base 8\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1 less than 4?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (152\/(-32))\/(1\/4). Let m = x + 19. Suppose m = 3*k - 3344384 + 644384. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2 - 4*z + 4. Let f be d(3). Let b be 1\/(f\/4 + -2). Factor -y - 2*y**4 + 2*y**b - y**3 + y**5 + y**3.\nAnswer: y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138392 to the power of 1\/2, to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -418483.8 to the nearest one hundred.\nAnswer: -418500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1017? (a) -4 (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 485 - 481. Let w(r) = -18*r**2 - r. Let m be w(-1). Let k = -15 - m. Solve -u*c - 22 = -k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 1, s: 5, d: 1, g: 2}. Give prob of sequence sssh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45313 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/20)\/((-3)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77686 = 181*h - 195*h. List the prime factors of h.\nAnswer: 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 9. Suppose 4*w - a*h = 24, 4*w - 5*w = -h - 7. Let d(v) = v**2 + 6*v + 2. Let f be d(-7). Solve 0 = -4*p - w - f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let i be u(2). Let d = -126 - -166. Let k = d - 39. What is the fourth smallest value in i, k, 0, 2\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-610)\/(-1920) + (-1)\/3. Let p = s + 259\/192. Suppose 4*n - 3 = 5. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 < -35029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*k*k**0*k*k)))**3\/((k*(k*k**3)\/k)\/k**(-6)))**37 assuming k is positive.\nAnswer: k**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811763 is divided by 19940.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144336 and 32592?\nAnswer: 1010352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 8) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.4, -2\/7, 5207.\nAnswer: -0.4, -2\/7, -2\/11, 5207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 - 219*a**2 - 2*a - 114 wrt a.\nAnswer: 12*a**2 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = 7*l. What is the remainder when (3 - (-2)\/l)*11 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -88 + -2198?\nAnswer: -2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*p**2*u**3 + 78*p**2*u - 3*p*u**2 wrt u.\nAnswer: -504*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 + 371. Let t be (-6)\/4*(-36)\/(-81). Which is the smallest value? (a) 11 (b) -2\/7 (c) p (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -215, -338, -477, -638, -827, -1050, -1313?\nAnswer: -1622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/(3\/(-144)). What is the highest common factor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 13 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326934015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 333. Calculate the remainder when j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18 < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*x + 8783 = -5385 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -291*s + 293*s + 12, -2*l + s + 18 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.2104543 weeks?\nAnswer: 35.3563224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {v: 2, w: 1, r: 1, e: 1, k: 1, n: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1171 (b) 2\/17241 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 616943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let f(x) = 4*x. Let s(r) = -f(r) - 3*v(r). Let a be s(6). What is the units digit of (-38)\/a - (-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3cb15 (base 14) to base 7\nAnswer: -1164225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-37)\/(-3)*(-21)\/(-7). Suppose 14 + 6 = 5*f. Suppose -2*w + 5*p = -u, 0 = 2*w - 3*p + f*p - 43. Calculate the remainder when 82 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 278*n**2 - 308*n - 4335. Calculate o(-138).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 976*d**2 + 4*d + 979*d**2. Let l(t) be the first derivative of -85*t**2\/2 - 37. Determine l(b(c)).\nAnswer: -255*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10504 + -17.732139747.\nAnswer: 10486.267860253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from llnknlxtkktvtlnll.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 665\/266*(3 + -1). Solve 5*n - 6*n = 3*u + 2, 0 = a*u + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 32 = -4*g - b, 16 = -2*g + 2*b. Which is smaller: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 18*i - 22. What is the remainder when b(5) is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b + 3. Let t(w) = -w**2 - 2*w - 6. Let m be t(-4). Let c(f) = 3*f - 1. Determine m*c(u) - 4*x(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/168*(-84)\/(-60).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2. Let s(z) = -653*z**2. What is j(s(a))?\nAnswer: -852818*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5834 - -25207. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36 + (5 - 4) + (-3 - 0). Which is greater: 35 or r?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.4, 1\/7, -2 in descending order.\nAnswer: 1\/7, -1\/4, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -75151, 0.3, 1.9, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - t + 1. Let k(u) = 10*u**3 + 2*u - 6. Let o(i) = k(i) + 6*y(i). Let o(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648 + 972. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113116689 from 27398.\nAnswer: -113089291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -25 - (-5 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/10 - 2) + 2. Let j = -0.12 + 0.82. Let f = j + -3.7. Which is the smallest value? (a) 0.3 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59895 is divided by 25408?\nAnswer: 9079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55975 is divided by 577.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 139, 367, 693, 1117, 1639, 2259?\n\"Answer: 49*b**2 + 81*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 550 - 420. Suppose -j = -11*v - 20. Solve 0 = 8*l - 3*l - 20, -4*l = -2*c - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3 (c) 13 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5087 is divided by 1068?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 8628*s**2 + 8356*s - 272 = 0. What is s?\nAnswer: -1, 68\/2157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -17)*(2 - 1). Suppose 4*r = -m, 0 = -4*m - 3*r + o + 10. Which is greater: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2. Let c(g) be the second derivative of -1\/4*g**4 + 0 + 0*g**2 + 0*g**3 - 20*g. Give v(c(b)).\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 463102*o - 48151790. Determine q(104).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 - 10*b - 9. Let h be d(-1). Suppose 10*u - 8 = h*u. Solve -4 = 2*p - 5*m, 0*p + u*p + 8 = 4*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)\/(w**(-2)\/w*w)*(w*w**8\/w)\/(((w*w**14)\/w)\/w) assuming w is positive.\nAnswer: w**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.14 + 19.64. Let u = 29.36 + -30. Let v = u + 0.5. Sort v, 3\/7, y in increasing order.\nAnswer: y, v, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9760 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 17*v**2 - 11*v - 8. Let q be t(-8). What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232010 (base 5) to base 9\nAnswer: -12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*z**2 + 2 - 3\/2*z = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + (-8)\/5. What is the units digit of ((-4)\/(-3))\/(y\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -135557*r**3 + 36*r**2 + 21190061?\nAnswer: -406671*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 1794735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 4, 827, -2, -5 in increasing order.\nAnswer: -33, -5, -2, 4, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/6 + 4*d**2 - d. Let s be w(6). Calculate the remainder when 52\/4 - (-6)\/s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000247916371 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from rrnnrnrtnfnrfrtnmrt.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2541 and 3234?\nAnswer: 35574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07839 - -99.60839. Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99148 and 5108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31262\/5 + -6227. Let s = n - 26. Which is the smallest value? (a) s (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/2 + 47*c**3\/3 - 191*c + 263. Differentiate k(w) wrt w.\nAnswer: 6*w**2 + 94*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*2)**2*-2 - (sqrt(832) - (2 + sqrt(832)))*-4.\nAnswer: -6664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3006.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*l**5 + 8*l**5 + 82*l**5 + (4 - 1 - 2)*(2*l**5 + l**5 - 2*l**5) + 2*l**4 - 2*l**4 + l**5 + (-2 - l**2 + 2)*(3*l**3 + l**3 - l**3).\nAnswer: 160*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, h: 3}. What is prob of picking 3 q?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3) - 2) + 2*150\/80.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3820492 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hnnhnnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -583990 rounded to the nearest 1000?\nAnswer: -584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Let k(w) be the first derivative of -w**2 - 1 + 0 + 4 + t*w**2. Let o(s) = -s. Calculate o(k(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + 266\/48. Let k = -67\/8 + b. Let q = 4 + k. What is the second smallest value in -2, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2*i**2 - 1. Let y(a) be the third derivative of 0 + 0*a**4 - 1\/60*a**5 + 0*a + 0*a**3 - 13*a**2. Calculate p(y(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (104370\/16898)\/((-12)\/136)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -2. Let m = w - -13. What is the smallest value in m, 0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5055522 - -7141971. Let b = -3576449 + h. What is b rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from rublbyo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-45 - 81) - 104?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*x - 53*x - 216. Let t = -20 + 20.1. Is t at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/12 and 111\/494.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 24\/(-10) - 9\/(-15). Solve n - 1 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {p: 3, t: 1, u: 4, k: 4, r: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 12:34 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - k - 3*k - 416 = 0, 3*c + 4*k = -256. Let h be 4*(-12)\/(-64)*c. Let p = 94 + h. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 12. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 478, -1397?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9 = 5*u. Let z(a) = -3*a + 3. Let o be z(-6). Suppose -u = 2*d - o. Is 9 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 1 + -5 + -3 + ((sqrt(1053)*2 - sqrt(1053))*-4 - ((-1 + sqrt(1053) - sqrt(1053)) + 1 + sqrt(1053))))**2 + -4.\nAnswer: 504*sqrt(13) + 16893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 2*y + 4. Let f(n) = 108*n**2 - 2*n + 4. Let m(j) = -2*f(j) + 2*r(j). Let c(a) = 3*a**2. Give c(m(w)).\nAnswer: 142572*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -2*h + m, 14*h - 2*m - 168 = 11*h. Do h and 56 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l - 1. Let k be -1 + (-1)\/2*2. Let a be p(k). Let w be (-2)\/(-4)*38*a. Solve -4*j + w = 3*h, -2*h = 2*j + 3 - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -1)*5*-2)**2.\nAnswer: -200*sqrt(5) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + 1 - sqrt(320)) + sqrt(320))*6)**2 + (2 + -1 + sqrt(5) - (sqrt(120)\/sqrt(2))\/sqrt(12)) - (2*sqrt(4840))\/(sqrt(392)*3 + sqrt(392)).\nAnswer: 8053*sqrt(5)\/14 + 11557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g. Let s be (-2)\/(-5) + 459\/(-85). Let a(z) = 4*z**2 - 5*z + 3. Let b(c) = 4*c**2 - 4*c + 2. Let y(t) = s*b(t) + 4*a(t). Calculate v(y(m)).\nAnswer: -12*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -6.35 in decreasing order.\nAnswer: 5, -0.5, -6.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 685031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/80 - 28*(-732)\/192?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (36 - 71) + 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5760\/24*24\/(-96).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.182 + 0.102. What is the smallest value in z, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 1452*k = -1454*k - 8, -13*k = 130 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1967, -1086, -4139, -7192?\nAnswer: -10245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49099582.\nAnswer: 2, 7, 3507113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 80. Suppose -95 = -4*x + 5*v, -68*x + 2*v = -70*x + 70. Calculate the highest common divisor of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29945 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 1, 0.011, 0.2 in decreasing order.\nAnswer: 1, 0.2, 0.011, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) - 6\/30. Suppose h = -2*i + 10, -29 = -3*j + 6*j - 4*i. Let a(l) = 2*l**2 + 6*l + 7. Is 2 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 2\/9, 2, 476, -218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.29, 5, 0.31, -7, -0.4 in decreasing order.\nAnswer: 5, 0.31, 0.29, -0.4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 0 + 10*n**2 + 0. Let a(m) be the third derivative of -m**5\/60 - 54*m**2 + 2*m. Calculate s(a(d)).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c874 (base 15) in base 5?\nAnswer: -2324114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9510*u = -l + 9513*u - 15, 0 = 10*l - u - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/120 and 163\/51571200?\nAnswer: 51571200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/12 - 8*u**3\/3 - 17*u**2. Let r(q) = -q. Give n(r(d)).\nAnswer: -2*d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*31\/(-310)*-18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -656, -1325, -1996, -2669, -3344?\n\"Answer: -d**2 - 666*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -13 + 20 + 4 + -1 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*b - 8 = 0, -15 = 15*z - 19*z - 5*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151340 and 443380?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.5 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 158*n**3 - 8832*n**2 - 203170*n - 1594175.\nAnswer: -(n + 17)*(n + 31)*(n + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3414 divided by 3.\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*i - 3*x + 6*x, -4*i - 4*x = -64. What is the highest common divisor of 209 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {o: 1, k: 4, i: 2, b: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 10*y + 0*y**3 + 1\/8*y**4 + 0 + 33\/2*y**2. Let d(x) be the first derivative of r(x). Let z(p) = 8*p. Determine d(z(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 4*n**2 - 12*n**2 + 12*n**2. Let t(b) = 9*b**2 + 5*b - 5. Let v(g) = 13*g**2 + 7*g - 7. Let u(m) = 7*t(m) - 5*v(m). Give u(d(f)).\nAnswer: -162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-611)\/(-52)*1624\/5452.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -42*a + 1463. Let o(t) = t - 33. Let l(p) = -133*o(p) - 3*s(p). Let x(i) be the second derivative of i**3 + i. Calculate x(l(q)).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:22 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527324, -1054654, -1581984, -2109314, -2636644?\nAnswer: -3163974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -77, -110, -145, -182?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k + 2*k**3 + (-k + 2*k + k)*(-3*k**2 + k**2 + 0*k**2) + 2*k + k**3 - 2*k - 92*k**3 - 3*k**2 + 107*k**3 + 4*k**2.\nAnswer: 14*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 346 from 24.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 4*u**3 + 0*u**3)*((-u - 2*u + 2*u)*(-2 + 2 + 2) + (0*u + u + u)*(-2 + 0 + 4) + 2*u - 4*u - 5*u).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 - 57580*t**2 + 165715225*t + 331660810 = 0.\nAnswer: -2, 5759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 - b - 29. Calculate the remainder when h(-6) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjg when four letters picked without replacement from {j: 5, g: 4, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(7\/9)*f**(-1\/18))\/((f**(-5\/2)*f)\/(f\/((f**11\/f*f)\/f))) assuming f is positive.\nAnswer: f**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgiaargmr. Give prob of sequence mari.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 522*i**2 - i + i + 6050*i**2 - 1178*i**2 in the form t*i + y*i**2 + v and give y.\nAnswer: 5394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*m - 3*m. Let c be (1 + 0)\/((-44)\/176). Suppose -3*u + 10 = 5*v, 0 = 5*v + 3 + 2. What is the third biggest value in c, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2. Let o(s) = -3*s**2. What is o(r(z))?\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-8)\/(-12) - (-7)\/(-4). What is the third smallest value in -1\/88, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c)*(0 - 5 + 3) - 6 + 2 - 7*c + 9*c.\nAnswer: 4*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(5 + (2*sqrt(17) - sqrt(17))))**2.\nAnswer: 102*sqrt(17) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 30132.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttlqhly. What is prob of picking 1 t, 1 h, and 2 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -133. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59397607 is divided by 1561?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmffffmffffmfffff?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.2. Let o = 9 + -6. Let h = i - o. What is the smallest value in h, 0.2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.1, -1\/2 in descending order.\nAnswer: 0.1, -1\/2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -21275520 to the nearest ten thousand.\nAnswer: -21280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/3 + 4\/2. Suppose -j*g = 2*m - 24, -6 = -5*m + 5*g - 21. What is the third derivative of -2*a**2 - m*a**4 + 4*a**2 + 0*a**2 + 0*a**2 wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 170*o + 200 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (39\/((-3315)\/68))\/((-4)\/150). Solve 4*j + 4*d + d = -48, 4*d = -2*j - k for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(8))**2 + (sqrt(160)\/sqrt(5))\/sqrt(4).\nAnswer: 2*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1246*m + q = -1249*m - 34, 5*m + 70 = -5*q for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27999 and 17019.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {x: 2, j: 5, c: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:52 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245583, 245609, 245637, 245667, 245699, 245733?\n\"Answer: u**2 + 23*u + 245559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**5\/3 + 44426*n**4 - 1110821908*n**3\/15 + 702781026*n**2\/5 - 310355932*n\/15 - 177528976\/5 = 0 for n.\nAnswer: -2\/5, 4\/5, 3\/2, 3331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 587 + -7. Suppose -i = -6*g + 620. What is the highest common divisor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(28)\/sqrt(100)) + -5*-2*sqrt(7).\nAnswer: 54*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 46583 = -2*p - 44*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1) + 85\/(-95). Which is the nearest to -3? (a) -2 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (1 - 8) + -13\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9086 + -0.3?\nAnswer: -9086.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let p(v) = 16*v + v**2 + 18*v - 34*v. Determine p(w(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/8*12\/18. Put y, 0.1, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leppzpzppzzlzzbezz. What is prob of sequence zz?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 42963379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 3*f**4\/10 + 3*f**3\/5 - 3*f**2\/2 - 18*f\/5 - 88. Solve j(t) = 0.\nAnswer: -2, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69167926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3788 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 33, 74, 153, 282?\n\"Answer: 2*n**3 + n**2 - 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298 and 108706377?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1849.\nAnswer: -4\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -95. Let y be ((320\/r)\/(-8))\/((-1)\/1101). Suppose 5*p = -5*o + y + 5890, -7711 = -5*p + 2*o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3\/5 - 5606*k**2\/5 + 122588*k\/5 - 622944\/5 = 0.\nAnswer: 8, 14, 2781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/3 - 1\/3. Let s be ((-6)\/p)\/((-2)\/20). Let y = s - -32. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 15)*(4 - 9 - 4)*(-4 + 2*u + 1 + 1) to v*u + w and give v.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4275999 less than -4276000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11983 + 0.\nAnswer: -11983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((66\/(-11))\/(-6))\/((-1)\/39*1)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - -21000?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/20*15\/2. Which is smaller: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8008)\/924*(-6)\/(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**3*h**2 - 4*f**3*h - 2*f**3 + 139*f**2*h**2 + 56*f**2 + 4952*f - 1855*h**3 wrt h?\nAnswer: 10*f**3 + 278*f**2 - 11130*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104950 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*y - 16, -f + 2*y + 2*y + 8 = 0. Suppose 0 = 4*k - v - f, 5*k + 7 = 4*v + 28. Let l = 7 - k. Calculate the highest common divisor of 66 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/24)\/((-13)\/(-13))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9528, 19032, 28540, 38052?\nAnswer: 47568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243144 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4792276 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1\/2*-6. What is the first derivative of 3*q**3 + p - 3*q**3 + 4*q**3 wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*1\/7 + -2. Let w = 0.916 + -0.416. What is the third smallest value in -0.4, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2902*g - 2899*g + 19 = -2*b, -3*g = -3*b - 36 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + 2 + (1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g*g)**5\/(g*g\/g**(-1\/4))**(3\/40))**(-35) assuming g is positive.\nAnswer: g**(-11011\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -1 + -1 + 7. Suppose -c*t = -47 - 43. Find the common denominator of 14\/11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 22, 16.\nAnswer: -5, -1, 3, 16, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367199.\nAnswer: 7, 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125\/7 < 3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78083740 + -1?\nAnswer: -78083741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87, 2291, 5953, 11073, 17651?\n\"Answer: 729*v**2 + 17*v - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 593775, 593732, 593689?\n\"Answer: -43*l + 593818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2467*k**2 + 9953*k**2 - 6 - 2564*k**2 - 2464*k**2 - 2457*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = -4*k + 3*s + 190, 0 = 2*s - 8 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 536317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4)*4*(2 + -2). Let x(w) = w**3 - w**2 - w + 366. Let h be x(y). Let m = -252 + h. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -92*q - 95*q + 186*q - q**2. Let o(h) = 2*h**2 + 3*h. Let z be 3\/3 + -1 - -3. Give z*l(a) + o(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25591 - -25594. Suppose -7*b = -4*b - 15. Solve b*q + 8 = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3)*a)**(1\/4)\/(a**5\/a*a\/(a*a**(-4\/3)\/a)))**(-2\/9) assuming a is positive.\nAnswer: a**(79\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3))**12*i**(-2)\/i**7 assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + a + 19. Let p(h) = -h**3 - 8*h**2 - 3*h + 32. Let j be p(-7). Suppose -j = -4*g - 2*r, -5*r + 6 = 4*g - 4. Give z(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 9. Suppose r = -2*r. Determine s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(300) + ((sqrt(300) + 1)*6 - sqrt(300)) - sqrt(300))**2 - sqrt(300)) + -4).\nAnswer: -37660 - 2950*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 6. Let g be c(-5). Suppose -4*f - 2*v + 14 = 0, -32 = -f + 5*v - 12. Let b(p) = 0*p**2 + 4 + p**2 - 3*p**2 - f*p. Give b(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5756515\/792 + -236074\/33. Let u be 9940\/(-90) + 3 + (3 - 5). Let a = k + u. What is the common denominator of a and 59\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 146, -2, 0, 2, 11916 in decreasing order.\nAnswer: 11916, 146, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 233492154.\nAnswer: 2334921540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.48 or -2\/455?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-10 - 2*d + 89 + 15).\nAnswer: 2*d - 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/47 - 43\/94. Which is the closest to x? (a) 2 (b) 6\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5473 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-1068)\/(-66) - 10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -12.7205\nAnswer: -127.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 22217289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 1907.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*z - 37, -o = 5*z - 5*o - 13. Suppose -4*b + b + 1052 = z*l, -l + 212 = -b. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5 - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, c: 1, x: 1, p: 2, t: 1}. What is prob of sequence xpt?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwbaxm. Give prob of picking 1 a and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1954163268 + 1954159342.669938. Let q = p - -3921.03. Let z = 4.3 + q. Round z to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8735, -8748, -8775, -8822, -8895, -9000?\nAnswer: -9143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(2\/7))\/i*i*i*i**(-1\/4)*i)\/(i*(i\/(i*i*i**9)*i*i)\/i*i**(4\/7)) assuming i is positive.\nAnswer: i**(305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4)\/6 - (-20 + -1). Suppose g = 3*j + 17, 29 = 2*g - 4*j - 7. Is x > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {i: 4, f: 6, e: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-510)\/27)\/(-5) + (-126)\/(-567). Let l be 13\/4 - 1\/4. Put g, 5, l, -5 in descending order.\nAnswer: 5, g, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 643, 2526 in ascending order.\nAnswer: 2, 643, 2526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20790298*-2\nAnswer: 41580596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 + 3 = -u. What is the highest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*c**2 - 7*c**5 - 8*c**2 - 6*c**2 wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373447 (base 9) to base 14.\nAnswer: 5c324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**3 - 200*v**2 + 200*v**2.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.419333 and -109.54?\nAnswer: 107.120667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 738 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6672\/1944*9 - 31.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 5284*d**2 + 206560*d - 2049600.\nAnswer: 4*(d - 1281)*(d - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11775 - -156.88670432.\nAnswer: -11618.11329568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6977 + 6988. Which is greater: y or -6.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 - 4 = 0. Suppose -3*m = -r*i - 7, -2*m + 30 = -0*m + 5*i. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 20*q**2 - q - 7. Is o(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-233*c + 417*c - 759*c).\nAnswer: -1150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1 + 4\/(-2)). Suppose 106 = 4*q - 2*f, m = -q - q - 3*f + 49. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from {v: 1, f: 2, x: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(24)\/(1*sqrt(192) - sqrt(12)) - (-3 + 4 + sqrt(8)\/sqrt(4)))*-3.\nAnswer: -18 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 12) in base 8?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m - 5. Suppose -t + 15 = 7*o - 6*o, 0 = -3*o + t + 33. Let v(b) = 20*b - 12. Determine o*i(d) - 5*v(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 22, 0.2, -5, 28, -1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 1 r when three letters picked without replacement from urmruejjjru?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*p - 3 - 13, 0 = -2*y + p + 1. Calculate the highest common factor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 51822*h - 223793307.\nAnswer: -3*(h + 8637)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(9\/(-12) - (-2163)\/2868). Let c = -238 - r. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (16 - (19 + -8)) - -15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.2753 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/13 - 23\/39. Is u <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*(1 - 1). Let w = b - -2. Suppose 0 = 6*s - w*s. Solve 4*q + s*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m*m*m**34))\/m))\/(m\/m**(1\/70)))\/(m*m*m**(2\/3))**48 assuming m is positive.\nAnswer: m**(-6509\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*(-48)\/4*1. Find the first derivative of 11 + 10*m**4 + 2 + s - 4 wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60879 and 98325.\nAnswer: 1995309225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*f + 10 - 27 + 17 + 19*f**2 wrt f?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 1, -3*y + y - b + 17 = 0. What is the highest common divisor of 12 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/7 + 58*k**4\/7 - 244*k**3\/7 - 2668*k**2\/7 - 2346*k\/7 + 5202\/7 = 0.\nAnswer: -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 - c**3 + 3*c**3)*(-1 - 1 + 3) - 10*c**3 + 3*c**3 + 21*c**3 + 12*c + 0*c**3 + 2*c**3 - 17*c to x*c + z*c**3 + q*c**2 + p and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 4, f: 2, d: 1, h: 1}. Give prob of picking 2 s, 1 d, and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 + l - 1. Let o be i(-2). Let k = -2.01 + 0.01. What is the closest to o in k, 0.2, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + 4*s - 72, -o - 4*s + 38 = 0. Let m = 222725\/28091 + -1\/8026. Calculate the common denominator of m and (o\/5)\/(-3 + (-351)\/(-105)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 50*q**2 + 265*q + 1 - 3 + 1112*q.\nAnswer: -q**3 + 50*q**2 + 1377*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -8. Let k(r) be the first derivative of r**3\/3 - 5*r**2 + 11*r + 3. Let b be k(9). Sort b, t, 4 in increasing order.\nAnswer: t, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16e9e - -89?\nAnswer: -16e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111658 divided by -23?\nAnswer: 1111658\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.88 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 10*l + 9*l = -23*l + 1406, -2*l + 104 + 34 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 30*w**2 - 32*w + 91. Let r = -160 - -189. Let m(v) = 2*v**3 - 3*v**2 - 2*v - 3. What is the lowest common multiple of m(3) and i(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s**2 + 2270*s - 2748. Give h(251).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*k**2*v**3 + 58*h*k**2 + 6*h*v + k*v**3 + k*v**2 wrt k?\nAnswer: 4*h*v**3 + 116*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657.22 + 726. What is g rounded to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -112.1 (c) 0.5 (d) -5 (e) -2\/5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*j**5 + 7*j - 288 - 46*j**5 - 6*j - 96*j**5 + 2*j**4 + j wrt j?\nAnswer: -2340*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) + 6*1*sqrt(832) - sqrt(832)) + sqrt(832) + sqrt(832) + sqrt(832))**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = q - 4, 0 = -4*q + 2*z + 44. Let w = q - 1. Suppose -w + 7 = -f. Solve -f*m + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188\/77 + 30\/11. Let t = 0 - -0.5. Which is the nearest to -0.1? (a) q (b) 2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -12516136?\nAnswer: -12516135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 - 267. Is (-23098)\/(1 + 0 - (13 + s)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 8. Let u be j(5). Which is greater: u or 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6771 + -2991. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 691*c**6\/30 + 22*c**5\/3 - 40*c**2 + 15. What is the third derivative of i(b) wrt b?\nAnswer: 16584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 18*p - 86. Let n be (-22)\/(19\/(456\/24)). What is d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 74\/2253?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -167\/2 in 0.5, 1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 63629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19488\/(-72))\/116 - (-813)\/9.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-125)\/100 + (-2)\/(-8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 7*a + u - 10, -18 = 5*a + 5081*u - 5088*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.560236 millennia to decades.\nAnswer: 656.0236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 231 + 507. Suppose 31*d = 34*d - a. What is the highest common divisor of d and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, i: 2}. What is prob of sequence kik?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17506166?\nAnswer: 2, 8753083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 20*j = -18*j + 4, -2*t = 5*j + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 2, g: 1, b: 9, k: 3, r: 2}. What is prob of sequence kkk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3 - 161. Calculate n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/((12\/240)\/((-2)\/12)). Suppose -10*w = o - 40. Let j(z) = z - 12. Let t be j(7). Put w, t, 1 in ascending order.\nAnswer: t, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1528 and 548170?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*f + 12, 3*q = -4*f + 6*f - 8. Let u be 20\/(-6)*3\/q. Suppose -u*l + 2*j = -479, -3*l + 4*l - 85 = 4*j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 17 + 19 + 19972*i**2 + 2327*i**2 + (5*i - 3*i + i)*(0*i - i + 3*i) to the form v*i**2 + n*i + c and give v.\nAnswer: 22305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 1. Let n be w(-1). Suppose 3*y - 9 = 5*i, -y - y + n = -5*i. Which is smaller: i or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*r**4 - 9*r**4 + 24*r**4 + (-6184*r + 6184*r - 66*r**2)*(-r**2 + r - r) to c*r**3 + i*r**2 + m*r**4 + y*r + a and give m.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1700, 4556, 7412, 10268, 13124?\n\"Answer: 2856*v - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j - j)*(-51 + 43 + 65 - 1 - 4 + 4 - 4 + 1 + 1 + (-3 + 2 + 0)*(0 + 1 + 1) + (3 - 3 - 1)*(1 + 5 - 5)).\nAnswer: -102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/55 - -68\/385. Determine t, given that 0*t**4 - m*t**5 - 2\/7*t + 0 + 0*t**2 + 4\/7*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 98*f + 504. Give d(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/4 (b) 91 (c) -2\/3 (d) 3 (e) -5\/2 (f) 1 (g) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4\/2 - 2097*r**3\/2 + 1052911*r**2\/2 + 2097*r\/2 - 526456 = 0.\nAnswer: -1, 1, 833, 1264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 149*l - 13840. Let i(u) = 25*u - 3. Determine 6*i(w) - k(w).\nAnswer: w + 13822","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 71*f - 69*f - 25 + 33 - 8. Let o(z) = 3492*z**2. What is o(x(y))?\nAnswer: 13968*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449511, -449377, -449141, -448797, -448339?\nAnswer: -447761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 23 - z - 26*z + 25*z + z.\nAnswer: -7*z**2 - z - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kkddmkvkkkrqmmr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/142 and -4\/355.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(4 + 340\/(-50)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**3\/3 + 59. Let u be 90\/21 + 2\/(-7). Let h(p) = -p - 3*p + u*p + 2*p. Calculate l(h(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from owowooowwowhhwlololw?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v + 10 = 0, -5*x - 3*v - 5 = 0. Suppose x*y + 4*j = -12, -j + 4*j + 9 = 3*y. Suppose y*q - q = -14. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.34. Which is the nearest to g? (a) -1\/7 (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:47 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121\/399 + -1\/57. Let w = -16 - -21. What is the closest to u in -0.2, w, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -41. Suppose -8*z = -3*z - d. Suppose 0*c = z*c - 125. Solve -c = 4*g + g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/6204 and 37\/3300.\nAnswer: 155100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (-1 + -1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 119\/3. Let q = -2.38 - -2.18. Let u be (-2)\/(-21) - 1\/(-3). Which is the smallest value? (a) y (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 19*x - 31*x**2 - 14*x + 45*x.\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058463 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1013354747?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1825952854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 11*o**2 + 5*o + 12. Give a(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -795 divided by -53?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -532, -614, -646, -628, -560, -442?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -536674 and -5140310.\nAnswer: -5676984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*i - i, -2*i - 20 = -3*m. Suppose 3 - 8 = -d. Suppose u = 2*c - 37 - d, -m*c = -3*u - 88. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14541 is divided by 607?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 347423997 and 5169?\nAnswer: 5169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3064? (a) 26\/9 (b) 1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from itti.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 113 - 143 - 6*(48\/9)\/(-8)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -s - 4*r, 2*s + r = -0*s - 4. Suppose 2*m = 8, k - 4*m + 1 + 5 = s. What is the remainder when 10 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10122002022001 (base 3) to base 2.\nAnswer: 111010111010101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1481730 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - 2*z)*(0*z - 2*z + 3*z) + (-5*z**2 + 3*z**2 + 3*z**2)*(-6 - 5 + 4).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.2 + -10.1. What is the closest to -1 in 6\/11, q, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -57381, -0.2 in descending order.\nAnswer: 1\/4, -0.2, -57381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.129 (b) 153 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 131117?\nAnswer: 131123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/28*84\/(-108).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + g**3 - 5*g**3 + 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*(3\/(-3))\/15\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 117140231?\nAnswer: -1\/117140231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 3280 - 13*q + q - 3280.\nAnswer: 3*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 1, 31, -91 in increasing order.\nAnswer: -91, -6, 1, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 5) to base 15.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*y = y + 13, 0 = 2*y - 2. Solve -h = -0*r - 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20007248 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-26) + (-29)\/377. Let q(o) = -1. Let i(t) = -13*t + 2. Give u*i(w) - 2*q(w).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:43 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(425) + 1) - (3*2*sqrt(425) - sqrt(425)))**2*5.\nAnswer: 2500*sqrt(17) + 212625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 5*h - h**2 + (2*h**2 - h**2 + h**2)*(4 - 4 - 3))*(15 - 1 + 0).\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4197204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 5*c**2 - 8*c - 10. Let h be d(-5). Factor 5*g**4 + 32*g - h*g**2 - 9*g**3 + 20*g + 88*g - 120 - 6*g**3.\nAnswer: 5*(g - 2)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003123 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 1, t: 2, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 3*c. Let r be g(-3). Let n be 8 + (1 - 3) + r. What is the highest common factor of 30 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -51*b**2 + 176*b - 11. What is m(4)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:02 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 3*u**3 + 189*u**2 + 181*u**2 - 370*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n**2 - 26*n**2 + 0 + 3 + 67*n**2 - 175*n**2.\nAnswer: -82*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -977.7 - -977. Let x = 0.0542 - -4.9358. Let y = 0.01 + x. What is the smallest value in 4, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79467*d**3*w - 2*d + 52217*w wrt d.\nAnswer: 476802*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24407 by 1.\nAnswer: 24407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/(-9*1\/2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7445, -7428, -7385, -7304, -7173, -6980, -6713?\n\"Answer: 2*k**3 + k**2 - 7448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 676.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from {w: 2, i: 3, l: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883215302.\nAnswer: 2, 3, 61, 257, 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 - 210 = -3*x + 4*i, 2*x - 3*i - 216 = 0. List the prime factors of x.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(228)*4 + sqrt(228) + sqrt(228))*-5)\/((sqrt(4860) + -5*sqrt(4860))\/sqrt(5)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 218*v**2 + 196*v**2 - 2*v - 7 + 157*v**2 as t*v**3 + m + p*v**2 + h*v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqn when three letters picked without replacement from {l: 3, w: 1, n: 3, v: 2, c: 2, q: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = u + 2*b - 25, -b + 21 = u. Solve -h + 4 = -3*k, -2*k - k + u = 5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 230?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -35. Let j = k - -87. Let a = j + -128.0000129. What is a rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22517284?\nAnswer: 2, 31, 113, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6137 divided by 353\nAnswer: 6137\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = t, -2*g - 3*g + 26 = 3*t. Let i(m) = -m**2 + 6*m - 3. Give i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-75))\/((-16)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-132)\/22 - (-2)\/(-1) - -11. Suppose -6 = -5*n + 4*c, -2*n = -6*n - 3*c + 11. Put g, n, 25 in descending order.\nAnswer: 25, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1776 - -1775. Suppose 5*r - 4*s + 5 = 35, 3*r - 3*s - 21 = 0. Let b = r - w. Solve -h = b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -521*a - 9889. What is the ten thousands digit of h(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) - (-1406638854)\/918 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -564841, -564874, -564921, -564988, -565081, -565206?\n\"Answer: -f**3 - f**2 - 23*f - 564816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 257, 789, 1807, 3473?\n\"Answer: 27*o**3 + 19*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 345234512 and -1381.\nAnswer: 345233131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064*8.\nAnswer: 0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2*5 + sqrt(70) + (sqrt(70) - (sqrt(70) + (sqrt(70) - -6*(sqrt(70)*-1 + sqrt(70))))))\/(-2*2*sqrt(810) - sqrt(810)))**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9251093.8 to the nearest 100000.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*f*r**2 - f*r - 483438*f + 184*r**2 wrt r?\nAnswer: -58*f*r - f + 368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2*i + 1\/3*i**2 - 1\/6*i**3 + 149 - 1\/24*i**4. Find t such that p(t) = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 20 - 44. Let s be 10*(-2)\/16*z. Is -2*((-1455)\/s + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = i. Suppose i*b - 5*a - 27 = -0*b, 4*b + 2*a = 62. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 102. Let g(c) = 3*c**2. Calculate g(k(v)).\nAnswer: 3*v**4 - 612*v**2 + 31212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 - -100000000010?\nAnswer: 100001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (7 - 17) + 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + -16 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 21 = -3*i, -9 = 3*i + n + 3*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 10*v - 4. Let q be k(-9). Suppose n = -3*n. Suppose n*u = u. Put q, 3, u in descending order.\nAnswer: q, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, t: 8, s: 3}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135383?\nAnswer: 3, 19, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - r = -663, 3*h - 6*r = -2*r + 384. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-168)*4)\/(-5). Put s, -2\/7, 254 in ascending order.\nAnswer: -2\/7, s, 254","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 40*i**2 + 41*i + 53. Calculate s(-41).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 92*a + 21*a to i*a + b and give i.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 - 10*g**2 + 14*g - 6 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46746 and 6174?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 + 1447 + 1290 + 855*o**3 - 2737.\nAnswer: 878*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48 - -1 - (4 + -6). Let i = n + -27. Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 - 10*p**2 - 4*p + 12*p**2 - 7 + 4*p in the form i*p + d*p**2 + a and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1100100?\nAnswer: 1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9970, -19941, -29914, -39889?\n\"Answer: -b**2 - 9968*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * -579\nAnswer: -127.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82373 (base 9) to base 8.\nAnswer: 151757","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -515 + 515. Solve -2*n + 2*p = w, 0 = 12*n - 15*n - 4*p + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391576749.\nAnswer: 3, 130525583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81950, -81918, -81882, -81842, -81798, -81750, -81698?\nAnswer: -81642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 x when three letters picked without replacement from lxlxllllbl.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)**(-16\/3))**(-25\/3)\/((j**(1\/4))**36*(j\/j**(-5))\/((j\/j**(-3))\/j)) assuming j is positive.\nAnswer: j**(292\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + 4 + 3 + (-1 + sqrt(1053) - sqrt(1053))**2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.12. Let j = q - -0.18. What is the closest to j in -1, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 56?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and (-44)\/616*(-43)\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/384 - ((-1)\/(-1))\/4. Suppose 0 = 7*z - 28 - s. Solve -4*x - 13 = -3*j, 3 = -5*x - z*j - 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (0 + -1)\/2*3948960\/(-433)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -71. Solve -7*b = -4*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*t**2 - 8*k**3*t**2 + 106*k**3*t - 202*k**2*t**2 + 3*t**2 wrt k?\nAnswer: -48*k*t**2 - 48*t**2 + 636*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87939 and -0.2.\nAnswer: 17587.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-105))\/(2\/2230). Suppose 230*y - 21 = v*y. Solve 0 = -3*k - y*h + h - 6, 0 = 2*k - 3*h + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75\/2*p**3 - 301\/2*p**2 + 2*p + 0.\nAnswer: p*(p - 4)*(75*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93496*d**5*h - 4*d**4*h**2 - 56*d**2*h**2 - d**2 + 59*h**2 wrt d?\nAnswer: -5609760*d**2*h - 96*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 8*v - 9. Let f be o(7). Let r = f - -38. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 98*l**2 + 96*l - 1. Determine y(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3041 and 4.\nAnswer: 12164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = -2. Suppose 0 = -2*m + 5 + 1. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbru when four letters picked without replacement from brrurgbrrrburrrruuur.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2960 (base 10) to base 12\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 9:42 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 5 (c) 5\/2 (d) -1\/3 (e) 475 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2738420 and 49\/4072.\nAnswer: 5476840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 947 divided by -1031.\nAnswer: -947\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 217142 - 5*o - 220645 in the form z*o + n and give n.\nAnswer: -3503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -6, 1, -5 in increasing order.\nAnswer: -7, -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -728298 + 378*o**3 + 375*o**3 + 728298 - 750*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 337343.9478211 - 337344. Let v = 70.9600211 - j. Let q = 71 - v. What is q rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99217, 396930, 893119, 1587778, 2480901, 3572482, 4862515, 6350994?\n\"Answer: -v**3 + 99244*v**2 - 12*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 2\/5 (c) -1 (d) 879\/1022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t**(-1\/7))*t))\/((t**13*t)\/t))\/(((t*t**22*t)\/t*t)\/t*t*t**17) assuming t is positive.\nAnswer: t**(-386\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -14 in ascending order.\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -16*g + 14. Suppose 21 = -7*b + 10*b. Let w(p) = -15*p + 13. Let h(d) = b*w(d) - 6*r(d). Differentiate h(a) with respect to a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + (8\/2)\/(7\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1634751874.00000044 + 1634751845. Let q = -3.8 - 25.2. Let x = b - q. What is x rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 18\/(-30). Suppose 0 = 3*o + 8 + 4. Let q = 2691 - 2693. What is the nearest to z in o, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:40 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - 7 = -p, 3*p + f = 13. Calculate the least common multiple of (1*-3)\/(2\/(-12)) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/8 (b) 25 (c) -2\/3 (d) 32\/7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*a - 18323 - 160654 = 55251. Calculate the remainder when a is divided by 130.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-2)\/((-6)\/15). Let d = r - -10. Suppose 2*j = -j + 18. Calculate the smallest common multiple of j and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 7*t**4\/24 + t**3\/3 + 2*t**2. Let x be o(-3). Let i = x - -57. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-84) + (-23)\/7. Which is greater: -5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 956339856 divided by 36.\nAnswer: 26564996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let m(a) = -23*a**2 + 3. Give m(j(c)).\nAnswer: -92*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 155600611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101111011000110 (base 2) to base 12\nAnswer: -1205a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3 - 2*u + 4 + 1\/2*u**2. Let s be f(2). Solve -3*a = -6*a - s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -16. Let q(l) = -v*l + 8*l + 13*l. Let x(n) be the second derivative of -n**4\/12 - 9*n. Calculate q(x(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -6251346.\nAnswer: 2\/1041891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8*(-16)\/66. Let i = -12 + 16. Let o = 3 - i. Is k at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3445 - -3514.04. Let b = r - 69. Let s = -0.007 - b. Round s to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88562*d*n**3*x - 3*d*n**2*x + 2*d*n*x**2 + d*n*x + 7*d*x**2 + 948*n**3*x**2 + 314*n**2*x**2 + 12*n*x wrt n.\nAnswer: -531372*d*x + 5688*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14114290, 0, 3 in descending order.\nAnswer: 3, 0, -14114290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 136811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*h, 7 = -4*t - h - 5. Let w be (-501)\/(-12) - t\/8. Let y = 1405 + -1399. Calculate the greatest common factor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p - 6. Suppose 0 = 7*x - 29 - 6. Suppose 0 = -b + x, -90 = p*n - 7*n - 4*b. What is the lowest common multiple of n and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(8\/((-280)\/(-21)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-16)*9\/6. What is the third smallest value in 2\/5, 25, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30153 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 57479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 329018861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 139*f**3 + f**2 + 7*f - 8. Calculate q(1).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 64\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, a: 14}. Give prob of picking 3 a.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3, 0.2805?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-6))\/(((-76)\/30)\/(-19)). What is the highest common factor of j and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 152*r**4 - 2*r**2 - r + r**2 - 3 - 153*r**4 to the form b*r + h*r**4 + g*r**2 + v*r**3 + a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -140?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 36\/(-45) - 1*303\/(-60). Let g(x) be the first derivative of 0*x**2 - q*x**4 - 25\/3*x**3 + 12 + 0*x. Find the third derivative of g(a) wrt a.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**4 + 27*i**3 + 11*i + 6. Let m(l) = 3*l**4 + 53*l**3 + 20*l + 11. Let w(z) = 5*b(z) - 3*m(z). Find the second derivative of w(r) wrt r.\nAnswer: 12*r**2 - 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**3\/3 - 1. Let l(r) = 4*r - 24. Let t(j) = 33*j + 2 - 2 + 5 - 34*j. Let z(o) = -5*l(o) - 24*t(o). Calculate z(w(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 0, 19, 46, 81, 124?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 374 - 362. Calculate the lowest common multiple of 66 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/701 - 31625\/5608. Calculate the common denominator of -17\/14 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-154))\/((-111)\/(-407))*-4\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 728495537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 27318459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v - 143. Give k(-17).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 10*r**2 + 902*r - 6355. Calculate c(32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = g - 130 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8*j**2 + 10*j + 5. Suppose 0 = r - 0*r - 9. Calculate the remainder when n(-3) is divided by (2 - 3\/(-3)) + r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 4737275?\nAnswer: 56847300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106333 * -2859.\nAnswer: 304006047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1241844 (base 13) to base 4\nAnswer: 111230133030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-110))\/(((-285)\/10)\/57)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*c + 9145757 = -5213483. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -18. Let i = p - -11. Let n = i + 3. What is the biggest value in -5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3435, -14783, -34027, -61173, -96227, -139195?\n\"Answer: -n**3 - 3942*n**2 + 485*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 - 9015159*d + 9015162 = 0. Calculate d.\nAnswer: -3005054, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3900 + 49*t**2 + 3900.\nAnswer: 49*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 4*q = 0, -9 = 3*q. Let j(t) = t**3 + 5*t**2 - 2*t - 6. Determine j(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 5 (b) -13 (c) 2.94 (d) 1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 957666 (base 15) to base 5\nAnswer: 3310100241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjcjljlj. What is prob of picking 2 l and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*-1)\/sqrt(12))\/(sqrt(12)*3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - 3*sqrt(637)))**2*-5.\nAnswer: -28665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (2*sqrt(99)*5 + sqrt(99)) - sqrt(99))\/((sqrt(45)*2)\/sqrt(5)).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - (6 - (0 + 10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 8 - (0 - (-4 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 410350 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -14 (c) 8 (d) 0.1 (e) 17 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 - (1 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*c**2 + 2\/3*c**4 + 0*c + 0 + 2*c**3.\nAnswer: 2*c**2*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -24 + 67 - 14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 140 = 6*g. Find the first derivative of -17*k - 10 + g + 3 wrt k.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -211, -2015, -7187, -17497, -34715, -60611?\n\"Answer: -295*a**3 + 86*a**2 + 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 1\/2*d**3 - 2 + 3\/4*d**2 - 3\/8*d**4 - 3\/10*d**5 + 0*d. Solve x(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*o**2*r*t**3 + o**2*r*t**2 + 2*o**2*r*x + 6*o**2*t**3 - 1637*o**2 + 3*o*r*x + r*t**3*x wrt t.\nAnswer: -348*o**2*r + 36*o**2 + 6*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d**3 - 6*d**2 + 5. Let w(f) = 23*f**3 + 17*f**2 - 2 + 8 + 9*f**3 - 20 + 0. Calculate 6*w(v) + 17*z(v).\nAnswer: 5*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25050 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 - 4) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/627210 and -65\/5454.\nAnswer: 627210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/(-341))\/(-1)*5270\/(-255).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 26*w**5\/3 - 16*w**4 + 6*w**3 + 4*w**2\/3 = 0?\nAnswer: -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 11 = 4*l, 4*l - 5*x = -3*x - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4 + 0*g + 0*g**2 + 16\/3*g**3 - 41. Solve k(h) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 24. Let z = l + -14. List the prime factors of z*1*12\/(-15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175542790062 + -1156.\nAnswer: 175542788906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 + 5*j + 7. Let k be t(-5). Let y(i) = 4*i**2 + 9*i - 5. Let f be y(-7). Calculate the highest common divisor of f and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32979972 and 1148037?\nAnswer: 362779692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 4, q: 1, u: 1, m: 2}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3153 or -2696?\nAnswer: -3153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, 0 in decreasing order.\nAnswer: 5, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 2\/9 (b) -0.5 (c) -0.44 (d) -3 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -0.967?\nAnswer: 0.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7996882 litres in millilitres?\nAnswer: 799.6882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -196 + -270?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 16*j**2 + 13*j + 22. Let l be n(15). Suppose -5*t = -3*t. Suppose 55 = -5*h + 4*k, -45 = 5*h - t*k - 2*k. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/(-2)*60\/(-18). Suppose 32 = -a*q + 99*q. Let d(z) = 3*z**2 - z + 2. Let u be d(2). Solve 0 = -5*w - u - q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(320) + (sqrt(150)\/sqrt(5))\/sqrt(6) + -3)**2.\nAnswer: -204*sqrt(5) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186765469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 18411264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + 3*(5*(sqrt(495) + sqrt(55)) - sqrt(55))\/((sqrt(77)*1)\/sqrt(7)).\nAnswer: 5 + 57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1283 - 1290 = -l + 3*c, 5*l + c = -29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + a + 2, -3*q = -q + 4*a - 4. Suppose -4*l = m - 68, 9*m - 5*m - 48 = -2*l. Solve 2*k + l = 5*y, q*k - y = -5*y + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 68. Let d be (-3)\/(-15) - (-7)\/(-35). Let j be u(d). Let g(s) = 22*s + 34. Let n(b) = 2*b + 3. Determine j*n(p) - 6*g(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1332125052 - -2?\nAnswer: 1332125054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-1\/3))**(-27))**(-7\/11))**(-38))**(-18\/11) assuming m is positive.\nAnswer: m**(172368\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -266*3.80259\nAnswer: -1011.48894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 3 - (7 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193339, -378618, -563887, -749140, -934371, -1119574, -1304743?\nAnswer: -1489872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 476 - 1375 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625974 is divided by 41359.\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6)*-3*28. Suppose 0 = 4*d + 2*g + 3*g - y, -12 = -2*d - 5*g. Which is smaller: -2\/11 or d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 303*y**2 - 247*y + 248. Calculate f(1).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2376*s + 29. Is o(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 14*g**2 - 11*g + 38. Calculate w(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4592 and 560?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 5*m + 2. Let s be 6\/3 + -7 + (24 - -2). Suppose -24*d + s = -17*d. Let o(n) = -5*n**2 + 4*n - 2. Determine d*x(w) + 4*o(w).\nAnswer: -5*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ess when three letters picked without replacement from zsszyeeszsss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 17*d**3 - 6*d**2 - 2*d + 11*d**3 - 3*d**4.\nAnswer: -2*d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 9*x**2 + 103*x - 609. What is u(13)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 58*m + 60*m + 68, -3*m = -15. Calculate the remainder when 174 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16 + 5 = 0. Suppose 4*f - 2*q - 10 = 0, -f + 1 - c = -3*q. Solve -2*p - f = k, 0*p = 3*p - 3*k + 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1671 + 1678. Solve -57 + 71 = p*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434450 (base 6) in base 3?\nAnswer: -1211102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -2 - (108\/15)\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-2 + 0 + 3) + 2 + 0 + 0 + 2 - 3 + 3)*(-4 + 5 + 26 - 2*u).\nAnswer: -10*u + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 692798270 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 158 - 136 - (21 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17973320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 53*n**2 - 14*n + 6. Let i be y(9). Suppose -3*g + 2506 = -b, -2*b + i = g + 4*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61568*q - 61568*q - 61566*q + q**3 + 246270*q - 61568*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*t + 2*x + 16, -4 = 2*t - 2*x. Let b(r) = -30*r**2 + 7 + 9*r + 12*r**2 + 10*r**2 + 10*r**2. Is b(t) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 = 0, 4*j - 3*c - 15 + 1 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b428 (base 13) in base 5?\nAnswer: 13422441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 56*a - 19. Calculate q(14).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*r = -r + 270, -r = 4*j - 279. Let h = -51 + j. Calculate the remainder when 124 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -t - l, 89*t - 21 = 92*t + 5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36*(-4 - 14\/(-4)). Is -17 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29327 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162868*c**3 - 325771*c**3 + 162899*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4821.479 nanograms in kilograms?\nAnswer: 0.000000004821479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 1020*y - 81 + 12 + 22 + 31.\nAnswer: -1020*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12027 = 2104*f + 11117 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12630 divided by 443?\nAnswer: -12630\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -289*j**2. Let s(i) = 4*i**2. Give s(r(d)).\nAnswer: 334084*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*h**2 - 133*h + 226*h**2 - 115*h**2 - 6*h**3 wrt h.\nAnswer: -36*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(6*a - 2*a - 2*a)*(-a**2 + a**2 - a**3).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 14. Let b(q) be the third derivative of q**5\/60 + q**3\/6 + 2*q**2. Let n(a) = 4*a**2 + 3. Determine m*n(r) + 2*b(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 24*n + 6. Let d(l) = -23*l - 16*l + 1 + 87*l - 14*l - 29*l. Let m(p) = -13*p**3 + 2*p**2 - 1. Let c be m(-1). What is c*d(f) - 3*b(f)?\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.4 + 0.4. Let b = 44.084 + u. What is b rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/7 and -70\/1437.\nAnswer: 10059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 5*k - 4. Let r be b(2). Let l = r - -35. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 + 143 - 5*n**2 + 3*n**2 - n**3 + 4*n**3 + 7*n.\nAnswer: 3*n**3 - 2*n**2 + 7*n + 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o*o\/o**(-1)*o)**38 assuming o is positive.\nAnswer: o**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 + 4 = 0. Suppose 0*i + r = -3*i. Let v be (-6)\/9*-3 - i. Solve -1 = -v*c - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4376713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 6. Let j be s(-6). Let h be 2 + 0 + j\/(-11). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*g**5 + 4*g**4 - 5*g**2 - 31*g wrt g?\nAnswer: 1740*g**2 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -9, 3, -19 in increasing order.\nAnswer: -19, -9, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 49 = a, 2*a + u = 2*u + 116. What is the highest common factor of a and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -172, -217, -300, -433, -628?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:24 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(208) + -6*((sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208) + 0))) + sqrt(208)))**2.\nAnswer: -136*sqrt(13) + 60113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 13*b + 116. Calculate the smallest common multiple of w(19) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 86554608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26082811 and -0.1468.\nAnswer: 26082810.8532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 4\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 664661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 12:25 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -g + 5*a, -3*a = 5*g - 5*a + 295. Let v = g - -71. Suppose 0 = -9*r + 5*r + 280. Calculate the remainder when r is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965?\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000220 + 21?\nAnswer: -12000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83998757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 1029611024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 34 (c) -1\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/36 and -45\/17876.\nAnswer: 160884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(468)*1 - sqrt(468)) + 2)*1 + 3 + 1 + (-3*sqrt(468) - sqrt(468)))*3)**2.\nAnswer: -41472*sqrt(13) + 1083456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6)\/(21\/(-56)*-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -0.0728?\nAnswer: 0.06552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**5))\/r*r\/(r\/(r\/r**(3\/4)))*r)\/((r*r*r**(-4)\/r*r*r*r)\/r**(1\/2)) assuming r is positive.\nAnswer: r**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/7 - 14*g**4 - 3333*g**3\/7 - 3514*g**2 + 476*g + 3528 = 0. Calculate g.\nAnswer: -14, -1, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193*k**5 - 14928*k**4 - 4*k**3 + 433023910*k**2 wrt k.\nAnswer: 11580*k**2 - 358272*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 49 + 148 = 0. Suppose -t*g + 3810 = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0709 * 1\nAnswer: -0.0709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0\/(-4) - (2 + -11). Solve v = 2*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3 - -2)*55. Let n(a) = -5*a**2 + 9*a - 55. Let q be n(5). Let f = y + q. What is f rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-188)\/141)\/((-1)\/(6\/(-4)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -528961 divided by 8\nAnswer: -528961\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (39 - -1 - (-18 + 29 + -2 + -15))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 17*l**2 - 4*l - 4. Let k(x) = x**3 + x**2 + x + 1. Suppose r - 1 = 3. Let b(q) = r*k(q) + a(q). What is the third derivative of b(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2641\/(-475))\/((-14)\/(-350)).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -35*j + 63. Suppose y + 0 = 4*r - 4, 3*y = r + j. Solve 0 = -s + 5*s + y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469968534 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 2*o + 7)*(1 - 1 + o) - 3*o**2 + 15 - 2 - 11 in the form s*o + z + w*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from zzzzztzztt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 3*z**2 + 2*z**2)*(-z**3 - z**3 - 2*z**3).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4026 + -4023. Solve -5*i - p + 1 = 0, -6*p + 13 = -k*i - 10*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10374382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/35*30\/8*3\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1239 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70.1 - 16.9. Let f = -92 - m. What is the nearest to f in 0, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 <= -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -943?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 12)*(3*t - 4*t - t)*((1 - 4 + 1)*(3 - 3 - 1) - 9 - 20 - 28).\nAnswer: -990*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:59 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 37*q - 36*q - 12 + 2. Let p be n(13). Solve -j + 14 = -3*y - 1, 0 = -p*j - 3*y - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 38. Sort p, -6, -3.\nAnswer: -6, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33082 is divided by 6610.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.21 - 33. Let v be -3*2 + 830\/(-5395) + (-545)\/(-78). What is the second smallest value in -2, v, -1\/5, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -24*o + 23. Let k(b) = 7*b**2 + 8*b. What is k(w(v))?\nAnswer: 4032*v**2 - 7920*v + 3887","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*k + 312444 = -33*k. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/479, 1, 306.1, 60?\nAnswer: 306.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 11, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16323 - 2*f**2 - 87*f**4 + 0*f + 26*f**3 - 16321 + 0*f to the form g + r*f**4 + n*f**2 + o*f + y*f**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**4\/12 + 5*y**3\/6 + 10*y**2. Determine n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c9 (base 16) to base 15\nAnswer: -8cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.3. Let p = 0.725 - 0.525. Let m = -0.5 + 0.9. Which is the nearest to w? (a) m (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*o - 91*o + 83*o = 1080 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 + 37*l**2 + 11*l + 24. Is 3 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 60*v**2 + 1670*v + 10061. What is b(-19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*-1*-1)\/(sqrt(5) - (sqrt(500) - -1*sqrt(500))) + 3)**2.\nAnswer: -18*sqrt(3)\/19 + 3276\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46990 - 70199 = 1347*y for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 4 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3023*v + 3024*v - 8353*v + 2308*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 208. Let m = -189 - q. Let z = m + 829\/9. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/2 - (-4)\/(-2). Let j(a) = a**2 + 9*a + 11. Let v be j(q). Solve -2*b - 15 = v*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:40 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/2 + 73*c\/6 - 4 = 0. Calculate c.\nAnswer: 1\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33428 = 2*l - 4*l. Let z = l - 334367\/20. Calculate the common denominator of z and -95\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 12) to base 16\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/127736 and 67\/714?\nAnswer: 6514536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.33621ml to litres.\nAnswer: 0.07833621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = 1968. Is 2\/(-9) - n\/27 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 19423.5.\nAnswer: 19423.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/3 + 10258*r**3\/3 + 132678*r**2 + 5165654*r\/3 + 22365460\/3 = 0.\nAnswer: -5090, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 41*k**2 + 2*k - 88. Give r(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 + -10) - 5\/12. Suppose 3 = 2*o + 2*v + 5, -5*v - 17 = -o. Which is the third smallest value? (a) z (b) o (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/(-65)*(-45)\/12*26. Which is the third biggest value? (a) 1\/8 (b) s (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 719132167 and 2.\nAnswer: 1438264334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28163*a + 14098*a + 14159*a + 1274 + 3238 = 0 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*m + 6*m = -4250. What is the smallest common multiple of m and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 722 by -62433.\nAnswer: -722\/62433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114801429 by 3.\nAnswer: 38267143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-490))\/(((-60)\/(-8))\/(-5)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 22095221.\nAnswer: 3\/22095221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 503921407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -154859 minus 83601?\nAnswer: -238460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 - 57 - 58 + 115.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 42?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9248\/(-80) + (3\/8 - 2573\/3320).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222950 and 16120.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 y when three letters picked without replacement from coyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874730938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, j: 5, f: 1, s: 1, w: 1}. What is prob of sequence cf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**(1\/52)*v**(-21)\/v**4 assuming v is positive.\nAnswer: v**(-1305\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24132693227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, m: 4, t: 2}. Give prob of sequence umt.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 + 3*b**2)*(-23*b**2 + 12*b**2 + 2*b**2) + 0*b**3 + 0*b**3 - b**4 + (-6*b**2 + b**2 + 4*b**2)*(0*b**2 + 0*b**2 + 2*b**2).\nAnswer: -30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3*c**4\/4 - 13*c**3\/6 - 35*c**2\/2 + 7*c + 2. Let o(s) be the first derivative of i(s). What is the derivative of o(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:17 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**17\/p)\/p*p**(-24))\/((p\/((p**(-4)\/p)\/p))\/p*p)**(-13\/6) assuming p is positive.\nAnswer: p**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 4. Suppose -5*f + r*u + 20 = 0, 2*f - 3*u + 1 = 9. Let c = -4 + 11. Solve -3*a - 3*t - f = -c*t, t = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 - 36638*a\/5 + 2094864\/5 = 0. What is a?\nAnswer: -18376, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8156 - 8019. Solve -149*h - 24 = -m*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000629 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5649*o**2 + 96*o + 96. Let f(y) = -353*y**2 + 6*y + 6. Let h(g) = 2*d(g) - 33*f(g). Does 9 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/1218 + 607\/2436. Let w = 2 - 1.8. What is the second smallest value in 12\/7, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 185.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2 - 2*a**2 - 2)*(0*a + 0*a - 7*a).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346 + -351. Let j be (o + 7)\/(-2)*31. Put -5, j, 3 in descending order.\nAnswer: 3, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 32*u + 0*u**2 - u**2)*(0 + 1 + 0)*(-3 + 2 - 1)*(66*u - 66*u - 19*u**2).\nAnswer: 76*u**4 - 1216*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/18, -5, 0.01, 5, -1.1 in ascending order.\nAnswer: -8, -5, -1.1, -1\/18, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 11*p - 52 = -x, 86*p - 4*x = 89*p - 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15548667 by -15548667.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*s**3 - 18*b*s**2 - b*s - 97*b + 2*s**5 + 1 wrt s?\nAnswer: -18*b*s - 36*b + 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6)*54\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010111010111000011 (base 2) in base 7?\nAnswer: 65414410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3)\/18 - (-23 + 6852\/72 + -11).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 23472.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 4, j: 2}. Give prob of sequence ja.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 10*c**2 + c - 10. Let f be m(10). Suppose -x = -f - 1. Suppose 5*a - 6*a + x = 0. What is the closest to 0.4 in -0.1, a, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1359, 2790, 4221?\nAnswer: 5652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/16 - (-1)\/(-4)*-5. Let g be (1 - 21\/15)\/(x\/(-10)). Sort 0, 1, -3, g in increasing order.\nAnswer: -3, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 5, o: 3, p: 11}. Give prob of sequence ia.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583530 and 89040?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 79 = 194. Is m != 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -24. Calculate the smallest common multiple of f and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -484767 (base 10) to base 2.\nAnswer: -1110110010110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i. Let k = -79 - -93. Let j(p) = k - 4 - 10 + 6*p. Determine f(j(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -27 + 16 - (1 + 8 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - 2114\/42. Let z be (-5)\/(-1) - (-3 + 54). Let r = z - q. Solve 18 = -r*o - 5*g, -5*g + 0*g = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 10*q - 126 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.234 (c) -0.3 (d) -8581\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -467483 (base 9) to base 10\nAnswer: -281064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)*i*i**15*((i*i*i\/((i\/(i\/(i\/(((i**1*i)\/i)\/i))))\/i))\/i)\/(i\/(i**(2\/19)*i*i)) assuming i is positive.\nAnswer: i**(287\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**2 + 12*b**2 + 24120*b + 8 - 24200*b)*(-4 + 2 + 4).\nAnswer: 4*b**2 - 160*b + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -10. Let i(z) = -27*z - 1. Let k be i(-3). Let w = k + q. Solve -5*b = -9*b - w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 - 0.76. Let s be 2\/4 + (-36)\/40. Which is the nearest to 1\/3? (a) 4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702393357 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k**2 + 11*k - 11. Let b(d) = -3*d**2 + 2*d - 2. Let v(h) = -11*b(h) + 2*u(h). Let p(x) = 9*x. What is v(p(s))?\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -3*s + 0*s**2 + 2\/15*s**6 + 1\/3*s**4 - 1\/6*s**3 + 0 - 3\/10*s**5 - 1\/42*s**7. Factor w(i).\nAnswer: -i*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22950.962653 + 22951. Let i = 0.067812 + h. Let a = i - 0.105. Round a to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 191830 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (119 + -60) - 27.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 + 5*o + 2. Let t be 2\/4*2*0. Suppose 0 = -3*g - 9 - t. Give w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/7)*v**(-1\/5))**46 assuming v is positive.\nAnswer: v**(368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -14. Let i = -7.9 + -6.1. Let z = i - q. Which is the third biggest value? (a) -4 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147563520 to the nearest integer?\nAnswer: 12148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.056 or -120?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 20*j**2 + 6*j + 99. Let a be u(-20). Let f be (-13293009)\/a + -3 + 18\/7. Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -2077?\nAnswer: -8308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**2 - 17. Let d(a) = 3*a**2 + 6. Calculate -17*d(c) - 6*x(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.404 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/357 and 1065\/12*((-12)\/(-28))\/(19 + 11)?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64779493 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 2, 3, -236, -5, -1, 95 in decreasing order.\nAnswer: 95, 3, 2, -1, -5, -40, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011*-14.7.\nAnswer: -0.1617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8777696 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 4*s**2 - s + 6. Let d(l) = l**2 + 18*l + 53. Let m be d(-14). Give u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518883 - -0.4?\nAnswer: 518883.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/5 + f**4\/3 + 2*f. What is the third derivative of h(x) wrt x?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*i + 12, 3*m - 3*i + 1 = -23. Let k(x) = 2*x**2 + 4*x + 8*x**2 + 4 - 9*x**2. Let a be k(m). Solve 5*r + 3*c + 29 = 3, -a*c = 3*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 19*u - 20. Let q be y(-18). Let z be -1*4\/8*q. Solve -2*t = -5 - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16572490 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 7*r - 12. Let i(y) = -5*y**2 - 22*y + 35. Let s(q) = -3*i(q) - 8*z(q). What is the tens digit of s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-3) + 4402\/(-16401)*14\/(-4).\nAnswer: 58\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.5, 269, -1, 9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 6) + -52*(-12)\/48\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276 a factor of 544929731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3783, 3776, 3769, 3762, 3755, 3748?\nAnswer: 3741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23252853 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -21. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103439*d - 122 + 105315*d + 122.\nAnswer: 1876*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/3)*l\/l**(7\/4))\/(((l\/l**(-1\/4))\/l)\/l*l)**(17\/5))**(-1\/30) assuming l is positive.\nAnswer: l**(2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*32\/660*(-9)\/(-12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/22*-1)\/((-25)\/(-165)*6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 47*h + 74. Determine x(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**2 + 7*x - 1. Let m(f) = -5*f**2 + f - 1. Let i be m(-1). Is y(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*n - 2 + 17*n**2 - 18*n + 43*n - 5*n**2 - 18*n as g + w*n + h*n**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 216249 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98117 to the power of 1\/2, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 3. Let v be l(-1). Differentiate -70 - 15*r**4 - r**4 + 81 + v*r**4 wrt r.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(32\/84)*-6. Suppose g = -0*g + s. Let x = g - 37. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4099060 to the power of 1\/2, to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1504 by 4.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264685058 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -121165?\nAnswer: -121164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-218)\/545*(-10)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04535 + 1418.60465. Round q to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + ((-35)\/(70\/(-24)) - 2). Solve 34 = 5*w - y for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -855, 3\/5, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1574 = 106. Let x = t - -679. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*u**2 - 2*u**4 - 40*u**3 + 127*u**2 - 46*u**2 + 4*u**5 + 2*u**4 wrt u.\nAnswer: 240*u**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**8\/6720 - p**7\/1680 - p**6\/120 - p**5\/30 - 3*p**2. Let i(j) be the third derivative of l(j). Find a such that i(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/9 + 68*z**2 + 5024*z\/9 = 0.\nAnswer: -8, 0, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(180)\/(sqrt(12) + sqrt(36)\/sqrt(3)))\/(-2*sqrt(48)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - v**3 + 6*v - v**2 - 2*v + 1 - 4*v**2. Let k be h(-4). Let o = -11 - -15. Put -3, o, k in increasing order.\nAnswer: -3, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - -4. Solve 4*t + i - 20 = 3*y, -y - 7 = 3*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4026, 0, -4, 87, -6 in increasing order.\nAnswer: -6, -4, 0, 3, 87, 4026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3807?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1772756060 by 5.\nAnswer: 354551212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 2. Suppose -5*p + 12 = -p. Let z(d) be the first derivative of 2*d**2 - 3*d + 3. Determine p*z(v) - 5*f(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 9*k - 14. Let b(h) = 3*h**2 - 14*h + 21. Let v(a) = -5*b(a) - 7*w(a). Let y be v(5). Suppose -y*d - d = -24. Solve x - d = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5864*c - 20527*c - 4 - 28990*c.\nAnswer: -43653*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 25*d - 58576 = 0. List the prime factors of d.\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2 - 45*q - 972 = 0?\nAnswer: -12, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863774 is divided by 2198.\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 538 + -356. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1055403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5373 is divided by 1074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18\/40*435\/(-261)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 0.4 (c) 13434 (d) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.4, 0.59, -2, 71, -4, -25?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2304.291269 rounded to zero dps?\nAnswer: -2304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 7:03 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13365, 13067, 12577, 11895, 11021, 9955, 8697?\nAnswer: 7247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 23. Let c be l(-18). Let m = c + 10. Solve 5*i = -4*r + m, 5*i = 5*r - 0 + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 76442*r\/3.\nAnswer: -r*(r + 76442)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2072, 0.3, 2, -0.2, 0.2.\nAnswer: -2072, -0.2, 0.2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -7*f - 21. Let j(d) = -d**3 + 4*d**2 + 2. Let v be j(f). Sort -3, 36, -2, v.\nAnswer: -3, -2, v, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g - 321104 = -103*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*j + 19, -5*j + b + 21 = 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 28 + 52. Suppose -4*z + 76 = -s. Suppose 20 = -4*g, t - 3*g = -0*t + z. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4783659l to millilitres.\nAnswer: 478.3659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*z = 0, -6 + 29 = 2*x + 5*z. Let h be 16\/14 - 2\/14. Put -1, h, x in descending order.\nAnswer: x, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + (10 + 0 - 15) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 263744 and 10752.\nAnswer: 44308992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3450927 or 3450925?\nAnswer: 3450925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110210 (base 3) in base 15?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 330 in descending order.\nAnswer: 330, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:58 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 - -268. Calculate the highest common divisor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3230 - -3254. Calculate the remainder when 491 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14 - m - 13*m**2 - 25 + 116 wrt m?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**4 + 2*h**4 - h**4)*(-1 - 1 + 1) - h**4 + 28556 + 51*h**2 - 57101 + 28546 - 5*h + 3*h**3 as f*h**3 + s*h + y + v*h**4 + z*h**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -5, -226, -1, -2 in descending order.\nAnswer: -1, -2, -3, -5, -8, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 1805\nAnswer: -12\/1805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12202 - 4?\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 2 - (-2 - 3). Let m(s) = -s**2 + 16*s - 29. Let r be m(13). Suppose 3*j - 11 = -2*w, -3*j - c*w + r + 3 = 0. Which is greater: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:44 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-11))\/(19852\/124784)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(128) + sqrt(128) + 5 + 1*sqrt(128) + sqrt(128))**2.\nAnswer: 512*sqrt(2) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13467*u**3 - 5019*u**2?\nAnswer: 80802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(1008)*-1 + -1) + (2 + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + 2*sqrt(1008))))*3)**2.\nAnswer: -680400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - i + i)*(0*i + i + 0*i) + 6*i**3 - 4*i**3 + i**3 + 2*i**3 - 2*i**3 + 3*i**3 to q*i + c + d*i**3 + a*i**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 u when three letters picked without replacement from fxzjujuuujjfuufuuuju.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*i**3\/4 + 3172*i**2 + 894081*i\/4 - 19881\/2 = 0. What is i?\nAnswer: -141, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -16\/15 (b) 151 (c) -1.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000858086 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -748*f**4\/19 + 13470*f**3\/19 - 71916*f**2\/19 + 96320*f\/19 - 768\/19 = 0?\nAnswer: 3\/374, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 57927*k - 521349. Calculate m(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921052300 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 1235*w**4 + 46560*w**3 - 3703140*w**2 + 38309760*w - 108241920 = 0. Calculate w.\nAnswer: -144, 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16*8\/141*345\/230?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 547a + 4?\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 10 = 0, 0 = 5*c - 11*c - 5*c + g + 5*g - g + 353 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2016*r**3 - 24207 wrt r.\nAnswer: 6048*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 - 26*b - 60. Let d be o(0). Which is smaller: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 191? (a) 0.3 (b) -8 (c) -550 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 5. Let h(c) = 10*c**2 + 1. Let l be h(1). Let f(g) = -3*g - 14. Let o(z) = l*a(z) + 4*f(z). List the prime factors of o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.55 + -0.44. Let p = 0.01 - x. Let a be ((-1)\/3)\/(5\/(-3)). What is the nearest to 2\/7 in -5, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -393411 - -2?\nAnswer: -39340b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsgkhgsnkrsn. What is prob of sequence nhgh?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 - -1 - (-98)\/49. Let t be (v\/(-21))\/((-1)\/3). Let h(y) = -y**3 - 6*y**2 - 3*y - 3. Let a be h(-5). Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-4))\/(128\/(-8192)*32)?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -29, -109, -225, -377, -565?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*d + 1, -4*d = -3*s - 2*d - 3. Let m be ((-12)\/15)\/((-1)\/(-20)). Sort m, 2, s, -2 in ascending order.\nAnswer: m, -2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 8*h**2 + 3*h - 4. Let t(k) = 3*k**3 - 15*k**2 - 6*k + 7. Let r(i) = 3*t(i) + 5*v(i). Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 9773\/(-174)) + (-23 - -4)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 + 15 = 0. Let t be -2*(-21)\/(-28) - -2. Factor u + t*m**2 - 2*m.\nAnswer: (m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from {u: 11, m: 3}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 13) + 261 + -228 - (-2 + 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.8 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 4*v - 10. Let p be ((-96)\/30)\/(-8) + (-37)\/5. Let k be l(p). Suppose 2 = 2*j, -k + 4 = -3*d + 2*j. Solve 5 = -d*a - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1209, 1250, 1363, 1584, 1949, 2494, 3255, 4268?\nAnswer: 5569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Let d be 3 + (3 - (m + 2)). Factor 2*u - 5*u + u + 2*u**2 + d*u.\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -5164, -444 in decreasing order.\nAnswer: 15, 4, -444, -5164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 - 3 = 0. Let m = 1 - l. Let n be 2\/(2 + (-3)\/m). Is n less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16715802593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -12. Let t(w) be the second derivative of w**3\/6 - 15*w**2\/2 - 1046*w. Give t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*4\/(-3). Find the third derivative of 25*x**t + x**4 + 4*x**4 - 7*x**4 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.313 - 33.\nAnswer: -32.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5)*(-i + 0*i + 0*i) + i + 3*i - 2*i + i - i + i + (0 + 1 - 6)*(-1 + 1 - 2*i) in the form b + u*i and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.016882.\nAnswer: -0.0067528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6181888*r**2 + 2*r - 1. Suppose -w - 2*w + 3 = 0. Let q be j(w). Let g = 13881887 + q. What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2082 and 61128561.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15c2 (base 13) to base 16\nAnswer: c80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*y - 42*y + 3 - 3 - 41*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103056)\/(-3616)*(-22)\/(-228).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyydy. What is prob of sequence dy?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80726535, 161453068, 242179601?\nAnswer: 322906134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 3:30 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1\/(-2) - (-3 - -4). Let g = 1 - 0. Suppose -4 = 3*w - g. What is the third biggest value in t, 0, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*21\/7*5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*c + 78*c - 70 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000819902 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -94*7.2\nAnswer: -676.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 5*a + 6*a)*(-687 + 1355 + 640 + 435 + 796) in the form c*a + p and give c.\nAnswer: 10156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67329 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**3 + 1)*(30*m**2 - 23 - 15*m**2 - 16*m**2).\nAnswer: m**5 + 23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kir when three letters picked without replacement from {k: 1, r: 11, a: 2, f: 1, i: 3}.\nAnswer: 11\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i**2 - 20 + 20 - 14*i**2 to the form s*i + w*i**2 + r and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29750948587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*m + 577*m + x + 3*x - 1 = 0, 5*m - 4*x = -67 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 - (28 - (47 - 21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and 181968.\nAnswer: 49131.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 7 - (4 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 5. Let c be q(0). Suppose -20 = 5*s, -5*h - 4 = 5*s + 6. Suppose -h*x - 137 = -6*x + 3*z, 5*x - c*z = 175. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 84\/12*(-6)\/(-14). Solve 3*k + 7 = -u, -d = 3*k + 10*u - 7*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/40, 100, -3?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 3*v + 2. Let i = 278 - 280. What is b(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001617 rounded to 5 decimal places?\nAnswer: 0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682663 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -12 - 0) + (-9 - 2 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p + 18 - 18 - 10*p.\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025300933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54666933, -54666940, -54666947?\nAnswer: -54666954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**4 - 3*q**4 - q**4 + (3 - 3 - q**2)*(3*q - 3*q + q**2) in the form r*q**4 + k + g*q**3 + m*q + o*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010011010 (base 2) in base 3?\nAnswer: -1121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7172590 to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108) - sqrt(108))**2 + (sqrt(147) + 2)**2.\nAnswer: 28*sqrt(3) + 1123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11311?\nAnswer: 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*q - 109*q = 74*q - 576 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*b + 222 wrt b.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/2 + 4*k**3\/3 - 15. Let o(w) = 4*w**3 + 9*w**2. What is 9*b(d) - 4*o(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let y(p) = 7602*p**2 - 17974. Give i(y(k)).\nAnswer: 7602*k**2 - 17974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62200 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -219*l**2. Let q(h) = -h. Determine q(k(c)).\nAnswer: 219*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63842813893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 35*z + 142*z - 16*z.\nAnswer: 161*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107954335 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 13*d + 41 = 0, -111 + 107 = -4*a + 4*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 5*u**3 + 5 + (0 - 4 + 2)*(2*u**3 + 3*u**3 - 4*u**3).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from ssyryinyyryrirnnruy.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 140 - 0?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnl. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2857180 is divided by 332?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z**2 - 5*z - 3. Suppose -2*q = -2*i - 20, -2 = -q - 0*i - i. Suppose -2*y = q*a - a - 37, 0 = 3*a - 15. Give t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from ebpee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -540.7013377 and -11.\nAnswer: -551.7013377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5*(-42)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(1\/1))\/((-40)\/(-20)). Suppose -15 = 4*k + h, 0 = 8*k - 6*k + 3*h + j. Is -1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -9, -9, -11, -15, -21, -29?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x - 317. Let u be t(-34). What is the greatest common divisor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 258*p + 91881. Give i(-356).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/37517 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 544103 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 47*g**2 - 380*g + 27. Give r(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/(-11)*(-48)\/96?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/19 + 7\/76. What is the nearest to -0.2 in 0.3, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187836 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(10\/25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6894226 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.08. Let s = -29 + 41. Let z = s + -17. Which is the third biggest value? (a) -1\/7 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 2 - -14) + 14*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 + 14454?\nAnswer: 14535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1079*h**2. Let a(j) = -90*j. Give a(b(f)).\nAnswer: 97110*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 1)*1 - 2*sqrt(192)*5)**2 + ((sqrt(3300) + (sqrt(3300)*2 - sqrt(3300)))\/(sqrt(11) - sqrt(44)*5))**2.\nAnswer: -144*sqrt(3) + 420331\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 908.975860931 and -0.37.\nAnswer: 908.605860931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 - 3*x - 3. Let p(b) = -4*b**2 - 2*b - 2. Let a(k) = -5*p(k) + 3*v(k). Calculate a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 21. Let q = v + 45. What is the smallest common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**3\/6 + 473*f. Let h(o) = -28*o + 22. Let z(l) = -9*l + 7. Let n(k) = -5*h(k) + 16*z(k). Give n(t(y)).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 85 + 7. Suppose 49 = 8*d - q. What is the remainder when 40 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - 12) + 15 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/36*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2343?\nAnswer: 9372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1663977*4\nAnswer: 6655908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + (-2)\/4*(-5 - -5). Suppose 15*y + 124 = s*y. Suppose 42 = 4*r - 2*r. Calculate the remainder when y is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10647, -35945, -75893, -130491, -199739, -283637?\n\"Answer: -7325*m**2 - 3323*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*b - 53 + 21, 4*b = 2*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3103417 is divided by 1034467?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 366 - 464. Let q = 97.9998025 + p. What is q rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 7*l - 9. Let d be t(-8). Let x be (3\/(-324)*d)\/((-1)\/2). Are -1\/4 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + 5 + -30 + -18.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -232 - -242. Let n(c) = -9*c + 117. Calculate the remainder when n(g) is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - 1.9. Let t = -0.9 - i. Let m = 0.05 - 0.35. Which is the nearest to 1\/4? (a) t (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3500 = h - 4244, -30931 = -4*h + b. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q - 9*q - 149*q - 206*q.\nAnswer: -294*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000236339 to 7 decimal places.\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76046.\nAnswer: 2, 47, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 70. Suppose -q*j = -4*n - 76, -3*j + 2*n - n = -99. Suppose 248 = 4*x - 2*z, x - 33 - j = -z. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + 551?\nAnswer: 551.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101100 + -1?\nAnswer: -1010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89549 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8889*t - 5631*t - 571*t in the form f*t + j and give f.\nAnswer: -15091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 116 = 19*s. Let a = 57 + s. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3313924845?\nAnswer: 3, 5, 7, 11, 2869199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -1016885.\nAnswer: -12\/1016885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 4*l. Let j = -2\/323 + 461\/323. Calculate the common denominator of 58\/(-24) - 4\/l and j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**2 - 170*n + 602. Determine l(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5039 is divided by 121?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*c - 3248 = 2992 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*v - 1 = 0, -3*h + 0*h + 5*v = -13. Let y(z) = 126*z**2 - 2*z + 1. Let q be y(h). Suppose -15 = 2*t - q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14665167.9 to the nearest one hundred thousand.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2250*n**5\/7 + 10425*n**4\/7 - 16920*n**3\/7 + 8856*n**2\/7 - 1920*n\/7 + 144\/7 = 0. Calculate n.\nAnswer: -6, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42547 is divided by 3845?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 158*x**2 - 6*x + 494. Let z be y(-79). What is the highest common divisor of z and 2299?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let g(k) = -k**3 - k**2 - 6*k**2 + w + 0*k + 9*k. Let r be g(-8). What is the third biggest value in r, -2, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.497383m?\nAnswer: 4497383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*s**3 - 2*a**3*s**2 - 284*a**3*s + 45*a**2*d*s**3 + 3*a**2*d*s + 2*a*d*s**2 + 3*a*s**3 wrt s.\nAnswer: 24*a**3 + 270*a**2*d + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3391, -7094, -10777, -14440, -18083?\n\"Answer: 10*a**2 - 3733*a + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74.39999046 - 74.4. What is b rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79192189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2 (c) -55 (d) 3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*v = -2*n - 12, 0 = -n - 2*v - 3. Let t = -1 + n. Let p = 5 + t. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*k - 3*k + 28 = 0, h = -3*k. Calculate the greatest common divisor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 - 11) + (2 - (4 - 1)). Find the third derivative of -289*u**6 - o - 68*u**2 + 3 - u**3 + 322*u**6 wrt u.\nAnswer: 3960*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.073, -0.3, 2\/9, -1.97?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24249 + -24248. What is the nearest to r in -3\/13, -1, -2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1994988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -c?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = -2*r, -5*x = -2*r + 13. Let y = 69\/34 - 437\/408. Find the common denominator of (-291)\/(-54)*x\/(-5) and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 56?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791527 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: Suppose 2*d - 6 = 3*d + 5*k, -3*d - 5*k + 12 = 0. Let r = -8 + d. Let p = 1.2 + -0.2. What is the nearest to p in 4, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235 and 295315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66.903 + -0.903. Let q = -0.818 - -5.818. Which is the third smallest value? (a) q (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**28\/(n**(-5)\/(n\/(n\/n**(1\/12)))))\/(n**(-6)\/n**0*n**(-3)*n**(4\/7)) assuming n is positive.\nAnswer: n**(1135\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvgggvqtq. Give prob of sequence tqv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let w be 1 - (c - -3)*-2. Suppose -5*t + w = -7. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2) + 12 + -14)*0. Suppose g = 3*b - 0*b + 3*r, 5*r + 50 = 5*b. Let f = 141 + b. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -450 - -636. What is the remainder when g is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*g + 766*s - 771*s, -s = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, v: 5, q: 5, o: 1}. Give prob of picking 1 q and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13117 + -13117.1. Which is the smallest value? (a) s (b) 128 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 842?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -291. Suppose -2*l + 587 = 5*b, 2*b - 44 = -4*l + h. Calculate the remainder when b is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2443808 and 15\/19550464.\nAnswer: 19550464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8981627 and 2.\nAnswer: 17963254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-1))\/((110\/(-585))\/(-11)). Let g = 464 + v. Suppose -38 = -7*i + g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*d**4 + 1996*d*y**3 + d*y + 7*y**3 + 4*y**2 + 3*y - 20 with respect to d.\nAnswer: -64*d**3 + 1996*y**3 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -213*q**7\/70 + 859*q**3\/6 - 853*q**2. What is the derivative of j(u) wrt u?\nAnswer: -2556*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 32 + 33 = -5*a, 3*a = 2*y - 35. What is the units digit of (-741)\/(a\/3)*(-3 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89762131 and 2575?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*j - 3 - 11 = 0, -4*j + 7 = p. Which is the smallest value? (a) -2\/37 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -169, -207?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s - 480*s - 386*s + 53*s - s**2.\nAnswer: -s**2 - 828*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093937566 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -12*c**4\/11 - 3370*c**3\/11 - 6080*c**2\/11 + 16250*c\/11 + 18972\/11 = 0.\nAnswer: -279, -17\/6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870062001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194 * 75.\nAnswer: 14550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - -22 - 9\/1. Which is the second biggest value? (a) o (b) -2 (c) -10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 5 + -1 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*((sqrt(24)\/sqrt(300) - (-3 + sqrt(2) + 0)) + -2))**2*3.\nAnswer: -384*sqrt(2)\/5 + 2736\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d + 4. Let x be (-1)\/(1\/(-3)*1). List the prime factors of p(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.2, 1, 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let d(v) = 4*v - 620. What is b(d(h))?\nAnswer: 8*h - 1240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*1 + -8*6\/12. Factor -4\/5*l**4 + 0 - 2\/5*l**5 + 4\/5*l**2 + p*l**3 + 2\/5*l.\nAnswer: -2*l*(l - 1)*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -3, -5, -9, -15, -23?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/18*3\/((-36)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577c1 (base 13) in base 4?\nAnswer: 2001212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**3 - 18*g**3 + 24*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*8*-59*1. Suppose -1804 = -2*d - z. Is d\/8 - 11\/44 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1323.25 years?\nAnswer: 15879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 24 - 66 = 0. Solve -16*u = -y*u + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -3*v - 13, 5*r - 5*v = 40. Solve 0*c + c = 4*l - 7, -r*c = -4*l - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let q be l(0). Let r(p) = -p**2 + 1 + 2*p + 2 - 2. Let b be r(2). Solve q = 4*z + 5 - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*u + 15*b + 240 = -130*u, 3*u = -3*b + 156 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 101542.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65534 is divided by 10920.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 213?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30863338 by 21418.\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436610 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**3\/3 - 4. Let z = -1 + 3. Let d(v) = v**2 - 3*v**z + 5*v**2. Give o(d(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7581 and 131271.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + x + 2319593 = 0, 5*k + 5781458 + 17549 = x. Round k to the nearest ten thousand.\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*l + 1328, 16*a + 2*l + 1356 = 17*a. What are the prime factors of a?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3775 + 7906. Suppose 0 = -3*i - v - 75309. Is (1\/(-5) - i\/25)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -3\/35*p**5 - 3\/7*p**3 + 3\/14*p**2 + 9\/28*p**4 - 4 + 0*p. Factor o(i).\nAnswer: -3*i*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*o**2 - 6*o**2 - 19*o**2 + 33*o**2 to q*o + v*o**2 + n and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a**2 - 3*a. Let t(q) = -1518*q. Determine t(z(u)).\nAnswer: 30360*u**2 + 4554*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 21. Let s be n(-19). Suppose 0 = -0*c + s*c - 10. Suppose 5*m + 0*h - 34 = h, 5*h + 30 = c*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/73 and -348 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 527?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/20 - q**3\/2 - 8*q**2. Let b(m) = -9*m**2 + 8. Give -3*b(u) - 8*c(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**3 + 5*b**2 + 5. Let c(r) = -3*r**3 + 3*r**2 + 3. Let i(f) = f + 40. Let h be i(-26). Suppose -44 + h = -10*m. Give m*z(y) - 5*c(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/8773014 and -77\/32.\nAnswer: 140368224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 11)\/(2 - (-24)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 3. Suppose 2*g + 0 = 6. Suppose g*i = i + 24. What is the smallest common multiple of a and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 16653*p**2 - 890586*p - 2521800 = 0. What is p?\nAnswer: -50, -3, 5604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rororrrrr?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 10 (b) -0.4 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 4 - 3*c**2 - c + c + c. Let y be r(0). Suppose 4*u = y*w + 56, 4*w - 47 = -5*u + 23. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*4\/(-80))\/(17\/8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuunnppnu. Give prob of picking 1 n and 1 u.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*s + 2158*s = 209*s - 583837 + 225513 for s.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) + sqrt(275) + -4*(sqrt(275)*-1 - sqrt(275)))\/sqrt(11))\/((sqrt(320)*2 - sqrt(320)) + sqrt(135)\/sqrt(3)))**2.\nAnswer: 500\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -209*p**4\/6 + 117*p**2 + 230*p. Differentiate q(d) wrt d.\nAnswer: -836*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 40, h = 3*b - 2*b + 237 - 251. Let g be (-2)\/(-5) - 33\/(-5). Let n(y) = 2 + 2*y**2 - y**3 - g*y + 5*y**2 + 2. Calculate n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*t**3 + 3090*t**2 - 1039*t**3 + 66*t**2 wrt t.\nAnswer: -7560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-680)*(44\/(-33))\/((-2)\/(-3))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*n + 76*n = -90*n + 176330. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/473 and 25\/18731.\nAnswer: 8859763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*t = -857, 2*c - 827 + 256 = 3*t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -123*y - 980. Calculate s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t**2 - 2*t**2 + 0*t**2)*(52 + 10 + 28).\nAnswer: -1260*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*4\/(6 - 4). Let u = -108 - -115. Put 2, n, u, 4 in decreasing order.\nAnswer: u, 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 3)\/((-6)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**2 - 2*d**2 - 5*d**2 + 3*d. What are the prime factors of t(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7267 + 7272. Solve 5*n = -2*l, -4*n - 33 + i = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 15. Let h = -2069 + 2074. Let w(z) = 2*z - 10. Give h*u(a) - 7*w(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -47896526 bigger than -47896527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 403 = 5537. Is b a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*f + 15 + 15, 0 = 3*f + 6. Sort 6, -1, i in descending order.\nAnswer: 6, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - -22772?\nAnswer: 22797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 616, 557, 498, 439?\n\"Answer: -59*u + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(357\/(-34)) + (-22)\/(-28). Determine h, given that i*h + 1\/4*h**2 + 1\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -14. Let m = 11 + v. Which is the nearest to m? (a) 2\/7 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5 + 3. Let y(z) = -z - 6. Let b be y(i). Suppose -b*d - 4*a = -8, 2*d + 5*a - 1 - 2 = 0. What is the least common multiple of d and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.1 + 6.1. Let d = -74\/3 + 956\/39. Which is the biggest value? (a) 0.5 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 64. Which is the closest to -0.1? (a) d (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1716 + 12008\/7. Which is the nearest to -1? (a) x (b) -1\/8 (c) 0.5 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -522, -1184, -2080, -3192, -4502, -5992, -7644?\n\"Answer: 3*r**3 - 144*r**2 + r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -35.95. Let g = x + 0.39. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d - 4*d**2 + 2*d**2 + d to u*d**2 + n + v*d and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15286*r**5 - r**4 - 20*r**3 + 3055*r**2 - 197*r?\nAnswer: -917160*r**2 - 24*r - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57\/7 + 927\/119. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-80000)\/(-17) - (-14)\/119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321916 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 15*f**2 - 5*f + 5. Let c(a) = -a**3 + 8*a**2 - 3*a + 3. Give -5*c(x) + 3*r(x).\nAnswer: -x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 31*b**2 + b + 20. Let h be w(4). Suppose -33*f + 25*f = -h. Solve -12*y - y + f = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9357*z**3 - 662*z**3 - 18874*z**3 + 15*z + 0*z**2 + 2 + z**2 + 5343*z**3.\nAnswer: -23550*z**3 + z**2 + 15*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v + v - h, -v = -3*h + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*x = -24. Suppose -m - 2*m = k - 5, -4*k = x. Suppose -4*n - 3*i + 271 = m*i, -n = -i - 61. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/24 - 14\/(-6). Suppose -c*h = h - 6. What is the second derivative of 2*p + 5*p - 5*p + 3*p**h wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 + 556 + 759*j - 756*j to y + b*j and give y.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 + 0*l**2)*(3*l + l - 6*l) - 69803*l**2 + 1616*l**3 + 69803*l**2.\nAnswer: 1620*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123243634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -142 (c) -93 (d) 5 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8642 by 42756.\nAnswer: 4321\/21378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -75*f - 407. Determine t(-11).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11289 and 0.1614?\nAnswer: -1822.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)*2 + (-358)\/(-716).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 + -189. What is the least common multiple of 190 and 8*(-2)\/(-4) + (-18)\/l?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 6*l. Suppose -4*r + 2*o + 4 = 0, r - l*o = -7*o + 12. Find the third derivative of -j**2 + 0*j**3 - 2*j**3 + 2*j**r wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3259 + z + 3*z - 3253)*(-3*z - 2*z + 0*z).\nAnswer: 15*z**4 - 20*z**2 - 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-1 + (-18)\/20). Let l = g + 4. Let y = -295 + 294.3. Which is the nearest to l? (a) -2 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Let l be g(-5). Suppose 2*z + l = 9. Let a be -1 + 8\/(z + 4). Solve -5*x - 8 = a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:48 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599278.5 kilograms to milligrams.\nAnswer: 599278500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001226 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37213\/10590 - -52\/353. What is the common denominator of n and (-169)\/90 + (-6)\/(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.15 + -52. Let j = 16.79 + 0.21. Let z = j + x. Which is the second biggest value? (a) 2 (b) z (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15458, 15456, 15454?\n\"Answer: -2*b + 15460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 11*f**2 + 2*f + 33. What is the tens digit of w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1348 + -1340. Let n(f) = -f**2 + 3*f + 3. Let v be n(3). Solve 25 = -v*p + k*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.289981 - 0.29. What is c rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 + 1 = 0. Let j be 8\/16 - 14\/(-4). Suppose -m = -2*m - 2*u, -4*m - 4 = j*u. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 plus 7.9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -414, -373, -288, -159, 14, 231?\n\"Answer: 22*x**2 - 25*x - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*46.8\nAnswer: 5.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -21*c**2 + 46*c + 9. Let w(o) = 4*o**2 - 9*o - 2. Let d(x) = 2*h(x) + 11*w(x). Determine d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0532 - 0.2273.\nAnswer: -0.2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161804 - 323605\/2. Factor -21\/2*g - x*g**2 + 12.\nAnswer: -3*(g - 1)*(g + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44749007 is divided by 382470?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34 - (12\/4 - 4)*1. Is u greater than or equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 34*p**2 + 39*p - 71. List the prime factors of w(33).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-1)*(22 - 13286\/(-13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6465 = 375*x + 6660 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 164 = -36. Let b(v) = v**2 - 8*v - 13. Let k be b(11). Calculate the greatest common divisor of k and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/821 + 42670\/9031. Calculate the common denominator of (765\/72)\/(1\/(-4)) and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -26 - 524*p + 1048*p - 525*p. Give l(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*q - 2, 10 = -g + 4*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6 + 8 + 269*s**2 - 268*s**2. Let k(t) = t. Determine k(i(c)).\nAnswer: c**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - sqrt(1584)*-1) + 5)**2 + ((sqrt(110)*4)\/sqrt(10) + 3)**2.\nAnswer: 264*sqrt(11) + 6546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -42*i**2 - 16*i - 8. Let c(u) = 6*u**2 + 2*u + 2. Give -4*c(s) - y(s).\nAnswer: 18*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9230 and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3)*v)\/v)\/v**2)**(-42)\/((v\/(v\/(v\/((v\/(v**0*v*v))\/v))))**(2\/27))**(11\/5) assuming v is positive.\nAnswer: v**(9428\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**6*p*p**3*p*p**(2\/11)*p*p*p\/(p*p\/(p**(-1\/4)\/p*p)))**(42\/11) assuming p is positive.\nAnswer: p**(861\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 3*d - 4*d)*(-d + d + d) + 108*d + 87*d**2 + 75*d**2 - 159*d**2 as a*d + w*d**2 + b and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17344 and 21951.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1310625 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -17*g + 8. Does 19 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/51*1\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*-1 + sqrt(76) + 5*(sqrt(76) + 2*sqrt(76)))\/(sqrt(28)\/(sqrt(7)*-2) + sqrt(28)\/(sqrt(49)\/sqrt(7)))*-4.\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 223414 (base 7) to base 13\nAnswer: 15082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.22906*6\nAnswer: 1.37436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.52628 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 14*d + 14. Let o(q) = -2*q**3 - q - 4*q + q**3 - 5. Suppose 0 = g - 4*x + 7*x - 14, 2*x = 6. Calculate g*r(w) + 14*o(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let g be (5 - 2)*1*y. Suppose g*n = -0 + 15. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*t**2 + 2*t - 5*t - 340*t**2 + t**4 - 8*t**3 as u + q*t + s*t**4 + z*t**3 + g*t**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 6\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/(2\/(-6)). Suppose r + 45 = 3*q, 0 = -2*r - 3*r + 15. Let k = q - p. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-66) - (-9)\/110. What is the second smallest value in -3\/7, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426422 * 26\nAnswer: 11086972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/6*v**3 + 0*v - 1\/240*v**5 + 2*v**2 + 0 + 1\/24*v**4. Suppose j(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 60509816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4211880242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130637 - 4216570450\/32277. Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) + sqrt(350) + 2*sqrt(350))\/sqrt(10) + -2*sqrt(315))\/(5*sqrt(63) + (sqrt(448) - (sqrt(448) - (sqrt(448) - 1*sqrt(448))))) + -2)**2.\nAnswer: 8*sqrt(5)\/15 + 184\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -38 and -43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/7 + 4860*y**2\/7 + 8*y\/7 - 19440\/7 = 0.\nAnswer: -2, 2, 2430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 2*k**3 + 10*k**2 - 34*k**4 + 0*k**3 - 2*k**3 - 2 + 31*k**4 to t*k**3 + h*k**4 + d + f*k**2 + x*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w + 13. Suppose 2*z = -5*f + 47, z + 6*f = f + 36. What is the units digit of n(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345799 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21236 = -3629*h - 254458 - 24437 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**9\/30240 - f**6\/144 + f**5\/10 + 3*f**2. Let a(n) be the third derivative of c(n). Find the first derivative of a(q) wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + 0 + 0 + 1 - n**4 - 1 + (n - 2*n + 0*n)*(-5*n**2 + 5*n**2 + 2*n**3) - 1 + 2*n**4 + 1.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/(-4))\/(28865\/(-5020)). Suppose 3*d = 3*r + 7*d - 21, -2*r - 3*d = -13. Suppose -3*x - 5*a = -5*x - r, -a = -5*x + 7. Solve -i = 2*q + x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 12*x**2 + 2*x + 1. Let h(o) = -o**2 - o - 1. Calculate 3*h(m) + q(m).\nAnswer: 9*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 81\/(-3)*1 + 3. Let r be (-6)\/((-69)\/1*u\/48). Which is smaller: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 20387.784?\nAnswer: -20388.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4\/6 + l - 5. Let z(r) be the first derivative of h(r). Let i(m) = 3*m. Determine z(i(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 3177650 and 3177646 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c**3 + 12*c**2 - 4*c. Let h(m) = -6*m**3 - 6*m**2 + 2*m. Suppose 7*v + q = 4*v - 20, -5*q = -5*v. What is v*h(n) - 3*g(n)?\nAnswer: -3*n**3 - 6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115279 is divided by 2175.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136598 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - 2*u - 4*u)*((2 + 6*u - 2)*(-4 - 2 + 4) + 2*u - 4*u + 0*u) in the form r*u + k*u**2 + n and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*d**2 - 9*d**3 - 32*d**2 + 3*d**4 + 12*d - 30*d**2 = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(5\/7)\/u))\/(u*u*u**23)*(u\/u**(1\/14))**48)**(-1\/4) assuming u is positive.\nAnswer: u**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76 - 9?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.091 + 16.609. Let x = o + -14.97. Let q = -3.95 + x. What is q rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -5 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 1. Let m(g) = g - 2. Let v be m(f). Let h be 32\/24*(0 - -3). Solve -h*p + 16 = 0, -v = 3*u - p + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 1884093*o.\nAnswer: -3*o*(o + 628031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*g + 2. Let c be 50\/(-15) + g + 4. Let i(w) = -w - 9. Let o be i(-7). What is the nearest to c in o, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 3*c**2 + 3*c - 7. Let q be m(-4). Let w = q - -10. Let u = w - 5. What is the greatest common divisor of 8 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104370993?\nAnswer: 3, 359, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.47705303+-0.09\nAnswer: -0.56705303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 27 - 5 = -4*w, 2*g = -4*w + 2. Suppose -4 = -w*z + 5. Suppose -3*u + 5*o = -196, 0 = -o - z - 2. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 651 divide 65679347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 48 - 51 = 29 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184770000 rounded to the nearest one million?\nAnswer: 185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**2 + 5*f**2 - 3*f + 4*f to the form w*f + r*f**2 + v and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10. Let u = 76 + -682\/9. Which is bigger: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3185455*a**2 + 5*a + 8270 wrt a?\nAnswer: 6370910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/12 - t + 23. Let a(r) be the third derivative of r**5\/6 - 3*r**2. Calculate p(a(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74 from -136.92.\nAnswer: -210.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + l + 3. Suppose -y + 8 = -6*o + 3*o, -o = 2. Let f(j) = 14 + j**y - 19 + 6. Calculate -4*f(w) + s(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344730.\nAnswer: 2, 5, 234473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnktn. What is prob of sequence ht?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42563.84mg?\nAnswer: 42.56384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3, 19 in ascending order.\nAnswer: -3, -1\/4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269644 - 2*l**3 + 269644.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Let j = -5.002 + k. Round j to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206344614 (base 7) to base 4.\nAnswer: 232322033232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3384 + 3382. Let u(k) = k**2 + 1. Let x(f) = -3*f**3 - 7*f**2 - 7. Determine i*x(r) - 14*u(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.142724186 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1450224 and 20688?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 4*i - 3*i - 4 + 4 - 2*i + (0*i + i - 2*i)*(3 - 4 + 0) + (-2*i + 5*i - 4*i)*(2 + 1 - 2) + 2*i + i - 4*i + 12*i + 5*i - 3*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.4, -6\/7 in descending order.\nAnswer: 0.4, -2\/13, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - s - 42, -u + s - 8 = 0. Is 0 - (-5)\/u - 270\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 151140*x**2 - 1904665839*x - 26635706538.\nAnswer: -3*(x + 14)*(x + 25183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248138 and 154.\nAnswer: 1736966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 265*k + 106*k - 7049 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.2585081 rounded to 1 dp?\nAnswer: -47.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 431895919 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6119 to 2 decimal places.\nAnswer: -7.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*m - 12 = 0. Let q = -68\/253 + 2\/23. Which is the nearest to 0.1? (a) 2\/13 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.1 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-39)\/(-15) + (-2)\/(-5). Suppose 0 = -3*k + 15 - 3. Suppose -2*u - 2*m + z = -3*m, u - k*m = -12. What is the least common multiple of u and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhqpqzapt. Give prob of sequence qpz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42438 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 5)*(-8 - (9 - 18)). Solve -k = -z + 3 - o, 13 = 5*k - 2*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let i(r) = r**2 + 4*r - 1. Suppose 0 = 2*d - 4*t - 70, 4*d + t - 119 = 2*t. Suppose -d = -6*c + 7. What is c*v(g) - 2*i(g)?\nAnswer: -2*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*p + 180*p - 203 = -177*p. Suppose -4*u = -3*u - 19. What is the remainder when p is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r - 4. What is the lowest common multiple of 10 and (6\/r)\/(6\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 732*d**2 - 5167*d - 4434 = 0. What is d?\nAnswer: -6, -1, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + -1 + 51 - (-7 + (-11 - -9)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 62*k - 33 = z + 100*k, 11*z + 186 = 4*k for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 3 + 8*a - 4*a**2 - 3*a - 6*a as s*a**2 + o + h*a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101001001001001 (base 2) in base 5?\nAnswer: 3210313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-12)\/(-16)*(-15)\/((-45)\/(-12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*r + 32*r - 19*r - 2*r - 5*r + 6*r + (r + 3 - 3)*(-6 + 2 + 2) - r + 0*r + 6*r - r + 4*r - r + 0*r - r + 0*r + (3*r - 4*r - r)*(0 + 4 - 3).\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 14 = v + 2*v, v = -g + 6. Which is the nearest to -3? (a) g (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46772 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 19. Let c be 8\/(-20) + 410\/25. Does 3 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887021 bigger than 2887021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 40*l = 1436. What is the hundreds digit of -3 + -1 + 6 - l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.1. Suppose -9 = 3*x - n, 2*x = x + 4*n - 14. Sort u, 1\/4, x in ascending order.\nAnswer: x, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 139 = -115 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i. Let h(k) = 6*k + 36 - 20 - 16. Calculate 4*g(t) + 7*h(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014487 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1183018343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 + 122*v**2 - 2384*v\/5 - 7224\/5.\nAnswer: -2*(v - 301)*(v - 6)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-532)\/(-6460) + (-2)\/(-17) + (-4)\/5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 3:56 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 256991267 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.0797?\nAnswer: -0.004782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 108 = 3*c + 3*g, 3*c = -3*g + 108. Let p = 45 - c. Calculate the remainder when 104 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*m + 3*k, -m + 5*k + 2 - 3 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -985, -2175, -3365?\n\"Answer: -1190*x + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33 + 5\/((-10)\/(-4)). Let d = -4175 - -4209. Is d not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*g + 4*j, -3*g + 2 = g - 2*j. What is the remainder when 8 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 15587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109387843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4772287 by 13.\nAnswer: -367099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 5*q - 4. Let m be w(-3). Suppose -c + n + 1 = m, c + 13 = 4*n. Calculate the lowest common multiple of 4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(133)\/sqrt(7) + sqrt(19))*-4*-6)**2 + 5 + sqrt(171) + 0.\nAnswer: 3*sqrt(19) + 98501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 10 + 2. Suppose 2*f + 0*f = 4, -x = -m - 2*f. Suppose -m*w + 2*g = -14, -2*g - 12 = -3*w - 0*g. Is w > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 976944, 976913, 976858, 976773, 976652, 976489, 976278?\nAnswer: 976013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/231*(-440)\/(-160).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 12:00 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12)*-3*-6) - ((sqrt(36)\/sqrt(4) - sqrt(9))\/sqrt(3) + -4 + sqrt(48)).\nAnswer: -71*sqrt(3)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -375 - -402. Suppose 5*a = -5*w + 30, -a + w - 24 = -4*a. Calculate the lowest common multiple of q and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 26912.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 113*x - 1444. Calculate p(37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/9)\/((82008\/(-324))\/(-67))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84452740 and 9?\nAnswer: 760074660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92282 is divided by 1709?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392496.\nAnswer: 2, 3, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h*h\/(h\/(h*h**10)))\/((h\/h**6)\/h**(-14)) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 108 + 477 = 0. What is the remainder when i is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xir when three letters picked without replacement from {y: 1, n: 1, f: 1, r: 1, i: 5, x: 4}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*z + 1, 6 = -3*z + z. Let s be ((n\/(-28))\/1)\/(1\/(-8)). What is the smallest value in -1, 0.1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-6 - -4) + 1 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.072 and -80.\nAnswer: 85.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -23256.\nAnswer: 23256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7993 + -0.702. Let z = s + 2.6427. Round z to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:24 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -45 - 33 - 1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5776250 to the power of 1\/2, to the nearest integer?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:03 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/((65\/15)\/13)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*d - 316*d + 624*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o + 0*o)*(5*o**4 + 40*o**4 - 2*o**4).\nAnswer: 86*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003019902 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.1718 + 0.1518. Let y = 36.5 + -5.5. Let m = y + z. What is m rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -1)\/(4\/(-12)). Suppose 4*x + s = g, 4*x = -0*g + 2*g - 18. Suppose -l + g*l = 56. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 9*q**2 - 12*q - 22. Let y be r(-10). Let g = 7 + y. Solve g*h - 4*h + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 17.68. Let u = -0.58 + h. Let s = -1 - -2. Which is the closest to u? (a) -5 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -76*(9 + -8)\/((-3)\/42). Suppose -r - 3*i = -448 + 100, -3*r + t = 5*i. Let w = r - -286. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgdd. What is prob of picking 1 s and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 260, 161, 66, -19, -88, -135, -154, -139?\n\"Answer: l**3 - 4*l**2 - 94*l + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-129 + (0 - 0)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(8\/(-19)) + (-4)\/(-16). Suppose 0 = o*s - 5, -s = 3*a - 6*s - 175. Calculate the highest common factor of 40 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61.8 - -60.286. What is a rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from ttl.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 163 = 3*a, -t = 14 - 9. What is the smallest value in -0.5, a, -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7936, 7927, 7918, 7909, 7900?\nAnswer: 7891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14194 - 9*h**2 + 2*h - h**2 - 28267 - h**2 + 14276 to the form p + u*h + l*h**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*o - 3514*b + 3515*b, -18 = -3*o + 4*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.622 - -1.378. Which is the nearest to -1? (a) 1\/13 (b) 2\/5 (c) 7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212692755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 - 4*s - 6. Let k be 9\/15 - 22\/(-5). Suppose -2*m - 15 = -k. Let p be w(m). Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) -1\/9 (c) 278.13 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -1. Let k(w) = 6*w + 1 + 3 - n + w**2. Let y be k(-7). Solve 0 = -m - y + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 8 = g - 6*g, 4*g + 4 = 2*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217677 (base 10) to base 13.\nAnswer: -78105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**2*z**4 + 655*t**2*z**2 + 3*t*z**4 + 6408*t*z**3 - z**2 - 1 wrt z?\nAnswer: -24*t**2*z + 72*t*z + 38448*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 6 (c) 0 (d) -0.1 (e) 3\/5 (f) -2\/17 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + -22613143879.\nAnswer: -22613143879.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20824 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*c*((c\/c**(3\/2))\/c)\/c*c)\/(c*c**(-3)\/c*c**0*c) assuming c is positive.\nAnswer: c**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 + 0.03. Let i = 8 - 13. Which is the nearest to -1? (a) -0.5 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74826808\/15 - 4981819. Let j = q - 6630. Find the common denominator of -94\/15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 294. Let k(t) be the third derivative of 7*t**5\/60 - 5418*t**2. Calculate m(k(d)).\nAnswer: -147*d**4 - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (4 + -1) - -2) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 22*b**5 - 1844*b**4\/3 + 11966*b**3\/3 + 2708*b**2 - 48920*b\/3 - 2992\/3 = 0.\nAnswer: -2, -2\/33, 2, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/5 (b) 3 (c) -0.1 (d) -129 (e) 0.2 (f) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1016 and 1778?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 256, -300, -2, -1, -7.\nAnswer: -300, -7, -4, -3, -2, -1, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53306, -53303, -53300, -53297, -53294?\nAnswer: -53291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, h: 2, o: 1, z: 1, w: 1}. What is prob of sequence gz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:05 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 2512?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/123)\/((-1463)\/(-4389))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 2, -5*o + 20 = 2*y. Let h be -3 - (-204)\/33 - 62\/341. Suppose 426 = 5*w - x, -y*x = h*w - 125 - 125. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 0 + 0 + 8 + a**3 to the form d*a**3 + r + y*a**2 + m*a and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 423399*b*x - 50136939*b - 38*x wrt x?\nAnswer: 423399*b - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 748, 1514, 2280?\nAnswer: 3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 2*u + 4*u)*(0 - 1 - 1)*(-9 - 4 - 5)*(-2 + 0 + 7) to the form h*u + a and give h.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y. Let w be 1\/1 - (5 + -7). Let o be (75\/(-10))\/(w\/(-12)). Let j = -29 + o. Let b(x) = -2*x - 4. Give j*b(v) - 2*l(v).\nAnswer: -2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x**4 + 0*x**2 - 3\/20*x**6 - x**3 + 26*x - 39\/40*x**5 + 0. Let f(u) = 0. What is u?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (4 - (1 - -1)). Let w be 10*(5\/2 - q). Suppose 0 = -4*v - h + 302, -3*v - v = 5*h - 310. Calculate the greatest common factor of w and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-52) + 5 + (-726)\/143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 15745301?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2102?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 5*k - 4. Let i be u(6). Let a be ((-3)\/i)\/((-63)\/(-12)). What is the nearest to a in 1\/8, -3, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o - 2*o - 5 - o + 5 + 2*o - 4*o + o + o + o + 0*o + (o + 0*o + o)*(-2 + 5 - 1) - 3*o + 2*o + 0*o + (-o + o + 2*o)*(2 - 2 - 1).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3566 + 6842 = -251*r - 12066 - 1475 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/9325015 and 2\/18055.\nAnswer: 214475345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -3*m**7\/70 + 13*m**6\/50 - 17*m**5\/50 - m**4\/6 + 11*m**3\/30 + 3*m**2\/10 - 9*m. Suppose c(z) = 0. Calculate z.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 13*a**2 - 11*a - 10. Let l = -5 - -8. Let j = l + 0. Calculate the remainder when j is divided by p(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 142*j**2 - j + 2. What is the units digit of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 17*q + 12. What is c(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291 - 291. Suppose c = -2*j + 2*o + 8, -5*o - 16 + 6 = 0. Solve -j*w = 3*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -28439477.\nAnswer: -2\/28439477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**2. Let c(y) be the first derivative of 35*y**3 - 194. Determine -3*c(b) - 40*r(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 3*s - 2. Let l(v) = v**3 + 4*v**2 - v - 2. Let y be l(-4). Let u be k(y). Let j(p) = p**2 - 7*p. Calculate j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(36\/51) + -3. Let r = 0 - 0.5. Which is the smallest value? (a) r (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247976?\nAnswer: 2, 139, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*q - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3102*w - 114819. What is z(-37)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4\/2 + 150*b**3 + 1869*b**2 - 4182*b + 4329\/2 = 0.\nAnswer: -13, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/900 and 109\/3790.\nAnswer: 341100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:40 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8876166.99834 + 8876283. Let q = 116 - a. What is q rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1183c97 (base 15) to base 4.\nAnswer: -233330112133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-90 - -112) - 1*-14) + -1*7?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1941 + -1305. Is (k\/24)\/((-1)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -14 - 4*a**2 + 1\/3*a**3 + 7*a. Determine s(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (42\/(-18))\/7*33 + 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from wocctpwvv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494815.\nAnswer: 5, 98963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 6*g - 7*g**2 + 4*g + 3*g in the form h + r*g**2 + n*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/30 - 6\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 24*h - 19*h + 13 = 0, -2*h = -2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-13))\/(p**(17\/4)*p)*(p**15\/p)\/(((p**7\/p)\/p)\/p))**(-16) assuming p is positive.\nAnswer: p**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4 - 267*j**3 - 963*j**2 + 12663*j - 22356 = 0.\nAnswer: -9, 3, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 3, s: 2, p: 7, o: 5, a: 1}. What is prob of sequence pu?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let d(q) = -2*q**2 - 10*q**2 + q + 1 - 5*q + 25*q**2 - 12*q**2. Determine d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 35*u + 29. Let n be v(21). Let s(l) = -l**2 - 160*l + n*l - 1 - 163*l. Let y(k) = k**3 + 3*k**2 + k + 2. Give 3*s(h) + y(h).\nAnswer: h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120 - (-58 - 2)) + -7.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 19*b + 19*b + 7*b - 36*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 492 + -597. What is the smallest common multiple of 65 and l\/(-4) + (-3)\/12?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1024 is divided by 252?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 - 20*s - 21. Let t(i) = i**2 + i - 1. Let u(o) = -b(o) - 5*t(o). Let v be u(-13). Solve 2*m - 4 = v, 4 = 4*n - 5*m + m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyybvzy. Give prob of picking 1 b and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4 + 825*g**3 + 3245*g**2 + 4035*g + 1610 = 0 for g.\nAnswer: -161, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 times 0.01?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3719 - -3720. What is the closest to g in 0.2, -1\/12, 2\/11, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2936*u = 55495 + 94241 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 1, b: 1, f: 2, j: 2, v: 1}. Give prob of picking 1 b, 1 j, and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 3*r**2 + 5*r - 2*r + 2*r - r**2 + (-r**2 - 2*r**2 + r**2)*(-7 + 1 + 3) + r**2 + 3*r**2 - 2*r**2)*(r - 4 + 4).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 10*p**2 - 15*p + 31. Let z be q(11). Suppose 27 = -5*o + 72. Let w = o - z. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(180)\/(sqrt(4) + sqrt(48)\/(sqrt(12)*-4)))**2*1.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64685 is divided by 127?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -55.4.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 476989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, -y - 22 + 20 = r. Which is bigger: r or 556?\nAnswer: 556","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2723257568.\nAnswer: 2, 85101799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34398 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 27 = -3*w, 138*w + 26 = 2*i + 133*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5083853383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 930 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:40 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157999 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-28) - ((-81)\/(-7) + -5). Let j(r) = -2*r + 5. Calculate j(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 533\/8635, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 7*a - 5. Calculate y(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10*(107 + -108). Let u = 3 + -7. Which is the second biggest value? (a) 0.1 (b) -5 (c) u (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 + 228*m**2 - 36*m + 1119. Give v(38).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16173967 + -7657466. Let d = m - 8516509.400186. Let f = d - -8.4. Round f to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248 + -248. Solve i = -a + 10 - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1448.129\nAnswer: 289.6258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 6814856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -25409 at least -25410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000678103 rounded to 5 dps?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + s + 4, 0 = s - 1. Which is the nearest to 0.1? (a) 0 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -2 + (-4 - -19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5043878, -10087756, -15131634, -20175512, -25219390, -30263268?\nAnswer: -35307146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.017 - 1.983. What is the second smallest value in 1.8, 0.7, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.991048 to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m + 25. Let n = m + 0. Is ((-30)\/n)\/3*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50419278, -100838550, -151257822, -201677094?\n\"Answer: -50419272*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*m + 40 = 0, -5*g - 2*m + 18 = 58. Let d = 7 + g. Let y = d + -1. Which is the second smallest value? (a) -5 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*o, -14 + 2 = -4*i + 2*o. Let a = 7 - i. What is the least common multiple of a and 7 - (-4 - 0\/4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237 - 1321 = -21*p, 0 = t - 5*p + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2340589722?\nAnswer: 2, 3, 79, 4937953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 1. Suppose 2*u + 7*u = 63. Let r(k) be the third derivative of 5*k**4\/24 + k**3\/6 - k**2. Let s(i) = u*p(i) + 4*r(i). Calculate s(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -113?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 27. Suppose -2*l = 2*l - g. Suppose -5*j = m - 918, 2*j - 3 = -l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**30\/(((a\/(a*a*a**6*a))\/a)\/(a*a**(3\/10))))**(-8) assuming a is positive.\nAnswer: a**(-484\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -623\/316 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 11*u + 14. Suppose -3*x = 5*y - 298, -15*y = u*x - 12*y - 300. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588\/(-60) + 9\/1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*t + 18, -2*p + 0*p + 5*t + 17 = 0. Let v(c) = 80*c**2. Let a be v(p). Suppose a = 5*o - 115. Calculate the greatest common divisor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79707964*m**4 - 2706285*m**2 + 4*m + 1 wrt m?\nAnswer: 1912991136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -231, -337, -437, -531, -619, -701?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209 + -207. Factor -8*x**4 - 2*x**2 + 18*x**4 + 7*x**l + 5*x**3 - 5*x**5 - 15*x**4.\nAnswer: -5*x**2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/7 of a week in days?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76105088 or -76105090?\nAnswer: -76105090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 216 + 996 + -1128\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003351 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -19*x - 4. Let i = -2513 + 2513. Put -5, -2, i, x in increasing order.\nAnswer: -5, -2, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -9 - (28 - 40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 33. Let m be n(-18). Suppose -m*i + 3*w = -0*i - 9, i = -4*w + 8. Solve -3*z + 2*l = -l - 9, -5*l - 12 = -i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*i = 3, 2*h - 22 = -2*h - i. Suppose -k - 2*n = 370, -h*k - n = -6*n + 1850. What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.6389 from -4638.\nAnswer: -4640.6389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 2, d: 1, v: 1, p: 1, w: 1}. What is prob of picking 1 w, 1 v, and 1 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*6 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/11)*d**1)\/(d*d**(-1\/3))**0)\/((d\/((d\/(d**(2\/3)*d*d))\/d))**11\/(d**(-1\/16)\/d*d\/(d**(-1\/3)\/d)*d)) assuming d is positive.\nAnswer: d**(-6459\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*-3 + sqrt(35))\/(5*(sqrt(7) - -2*sqrt(7))) - (-2 + sqrt(80) + -3 + sqrt(80))*6.\nAnswer: -731*sqrt(5)\/15 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 1404 = 383 - 279 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 26. Let d(t) = -35. Let z(q) = -3*d(q) - 4*j(q). Let m(g) = 2*g + 6. Determine -m(s) - 4*z(s).\nAnswer: -2*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -2*c**7\/21 + c**4\/12 - 5*c. What is the third derivative of r(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.2. Let m = 469 + -466. Let r be (0 - 0) + m - 370\/125. What is the third biggest value in -1\/2, o, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 2*l + 1. Suppose -48 - 2 = 2*o. Let q = o + 23. Let r(k) = 10*k**3 - 7*k + 3. Determine q*r(y) + 7*p(y).\nAnswer: y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnnmnjnjmnnjjn. What is prob of picking 1 j, 1 m, and 2 n?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 846921 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:38 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 33*z = -73*z + 189. Let a(s) be the third derivative of 0*s**4 + 1\/20*s**5 + 0 - 27*s**2 + 0*s + 0*s**z. Let u(o) = -10*o. What is u(a(n))?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2, -3, 653, -1.1, -0.5 in decreasing order.\nAnswer: 653, -0.5, -0.7, -1.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 131*m - 8037. Determine u(-35).\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -11.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*a - 55 - 9, 76 = -3*a - 4*h + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -6*l + 4\/3*l**3 + 0*l**2 + 2. Find the first derivative of m(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12124 and -167\/42?\nAnswer: 36372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from ttctttjcttjjjjjctcjj?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 5 = 5*f - k, 5*k + 37 = 3*f. Solve f*g + 7 = 2*b - 17, -3*g + 5*b = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, 2, -7, 4, -11776 in ascending order.\nAnswer: -11776, -7, 2, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11675*g**2 - 23339*g**2 + 3058 + 11668*g**2.\nAnswer: 4*g**2 + 3058","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:36 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(70) - (sqrt(70) - sqrt(70)*3)) + sqrt(70))*4)\/((sqrt(810) - (-4*sqrt(810)*2 + sqrt(810)))*5).\nAnswer: 11*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 1. Let a(t) = -5*t**2 + 9*t + 5. Let z(c) = -a(c) - 3*q(c). What is the tens digit of z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -323 - 72. Let i = d + 400. Let x = -4753\/85 + 279\/5. Which is the third smallest value? (a) 2 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 = 5*y - j, -5*y + 21 = 4*j. Suppose 217 - 32 = y*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b48 (base 12) to base 9.\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 15. What is the least common multiple of (4\/h + -11)\/(-2) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, -51 in decreasing order.\nAnswer: 5, 4, 1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001532906 to six decimal places.\nAnswer: -0.001533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/23 and (-204)\/(-3132)*4 + -2 + (-80)\/(-36).\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 - 47*j**2 - 13*j + 49. Determine c(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + 34 + 5 - 149 - 28 + 2*t to l*t + b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n**3 + 6*n**3 - 2*n**3)*(-3 + 1 - 2) - 4*n**3 - 4*n**3 + 4*n**3)*(n - 3*n**2 - 5*n + 3*n).\nAnswer: 36*n**5 + 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 2*z**3 - 6*z**3 + (-2*z**2 + 1 + 1 + z**2)*(5*z - 5*z + 2*z).\nAnswer: -3*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-10))\/((-2)\/(-5)*(-48)\/240).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 7*g - 16. Let u be f(9). Suppose -8 = -4*p, 22 = 4*x - 0*p + p. Put -7, x, u, -1 in increasing order.\nAnswer: -7, -1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120500320 (base 7) in base 9?\nAnswer: 15084621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -4 + 6 + -9 + 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**7\/3360 + c**6\/1440 - c**5\/480 - c**4\/96 - c**3\/6 + 4*c**2. Let h(k) be the first derivative of u(k). Factor h(p).\nAnswer: (p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77928974.56 rounded to the nearest one thousand?\nAnswer: 77929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 - 3*w**2 - w + 1. Let b be n(-2). Is (-1 + b)*7\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 8) in base 3?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a + 1249 = -4271. What is the greatest common factor of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 j when four letters picked without replacement from lllljhllllllllll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 147 + 73 = 0. Calculate the remainder when 131 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1022*p + 1022*p - 22*p**2 - 9*p**3 + 56*p**2 - 34*p**2.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100110111 (base 2) in base 12?\nAnswer: 17b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) 3 (b) -240 (c) -3 (d) 1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 27*i + 33. Let t(x) = 28*x**2 + 5*x. Let b(h) = 14*h**2 + 3*h. Determine i*t(d) - 5*b(d).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/6 + 3*u**2\/2 - 5*u. What is the remainder when 4\/(-14) + 72\/7 is divided by k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let m(c) = -7014*c. Give x(m(o)).\nAnswer: -98392392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-129)\/(-1548))\/((-3)\/(-18))*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68253, 136198, 204143, 272088?\nAnswer: 340033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11511 + -66650059.97.\nAnswer: -66661570.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3677*v + 3884*v + 9879*v to the form m*v + c and give m.\nAnswer: 10086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-425*r**2 - 6 - 9 + 401*r**2)*(2*r**2 - 3*r**2 + 3*r**2).\nAnswer: -48*r**4 - 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (26*48\/(-52416))\/1\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-304)\/95)\/((-4)\/10). Suppose -y*s = -15 - 9. Solve -3*x + f = -13, 5*x - s*f = x + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/((-27)\/(-4782))*(-2)\/4?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3012.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, q: 4, k: 4}. What is prob of picking 1 x and 1 q?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*b + 13 + 13 + 10 - 31 + 8 as z*b + h and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.025 - 49.025. Let i = b - -48.6. Sort i, 3, -3\/7.\nAnswer: -3\/7, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 5)*(2*l**2 - 3*l + 3*l)*(-4*l + 6*l + 4*l).\nAnswer: -108*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -47*m + 64. Solve -14 + 0 = 3*w - 5*r, -2*w - m*r + 20 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {s: 3, u: 5, z: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1085 + 1589. Calculate the highest common divisor of 792 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 665438*s - 665432*s - 102 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/2 - 4899*k**2\/2 - 2448*k = 0. Calculate k.\nAnswer: -1632, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-8)*-1*25. What is the derivative of -21*r**3 - 26*r**3 + 37 - 57*r**3 + n*r**3 wrt r?\nAnswer: -237*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569*u**2 + 32*u**2 + 798*u**2.\nAnswer: 1399*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -136, -236, -276, -226, -56?\n\"Answer: 5*g**3 - 135*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -51100000 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5717*c + 423056. What is g(-74)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*a, 3*s - 22*a - 7 = -21*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*b**3 - 1054*b**3 + 2 + 184*b**3.\nAnswer: -811*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:59 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236.32 - -236.27. Put -0.1, -47, -3, v in descending order.\nAnswer: v, -0.1, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358888\/3 at most 452962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 325739 and 723251?\nAnswer: 42671809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -2*b**3 - 2*b + 19. Let q(z) = -2*z**2. Calculate s(q(w)).\nAnswer: -24*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13026 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*g + 19 + 21, 20 = 4*g. Let w = -56 + 104. What is the highest common factor of w and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/7, -0.01, 1, -0.035, 8\/11?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(54\/(-1))\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 383*f**4\/2 + 1063*f**3\/3 - 555*f. What is the second derivative of z(j) wrt j?\nAnswer: 4596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.645 + -0.145. Which is the third biggest value? (a) 0 (b) 3\/7 (c) g (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 12. Let h be s(-10). Let p be 4\/(0 + 1 + 1). Suppose 0 = p*a, 3*a + 71 = r + h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.6. Let u = 0.367 + -4.367. What is the second biggest value in -3\/7, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -280070?\nAnswer: 3\/280070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98703, 194290, 289877, 385464, 481051?\nAnswer: 576638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -465*j**2 + 90210*j*s + 369063156*s wrt j.\nAnswer: -930*j + 90210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 times 0.06?\nAnswer: -0.00372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -649, -712?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 14.11. Let g = 0.69 - u. Let j = g + -0.5. Which is the smallest value? (a) 3\/7 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-62)\/3)\/((-3)\/243)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8924 by 397.\nAnswer: 8924\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7064 + 309226?\nAnswer: 302162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22245, 43196, 64147, 85098?\nAnswer: 106049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*k. What is the nearest to k in -1, -2\/5, 1\/105?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2055\/11 - -187. Let q be -1 - (38 - -2)\/(-4). Put 0.5, q, a in decreasing order.\nAnswer: q, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10430 and -13.\nAnswer: 135590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -42.\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*a, 2*a + 2 = d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 196, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/20 and 53\/19642.\nAnswer: 196420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Suppose -q*x + 80 = -4*x. Let d be (-2)\/3*(-36)\/x. Sort d, 2\/7, 0.1.\nAnswer: d, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/67, 4, -3\/10, -297554 in decreasing order.\nAnswer: 4, 1\/4, -2\/67, -3\/10, -297554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601726 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) -74 (c) 0.2 (d) -4 (e) 16 (f) 0 (g) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44958952 to the nearest integer?\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-660)*-32*(-33)\/(-6468)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (201\/(-1206) - 573\/18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k + 2*b + 1, -3*b = -15. Suppose -3*i = k*f - 24, 2*f + 3*i - 3 - 15 = 0. Solve -w + 1 = f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 2, -4*o = 3*p - 23. Suppose 79 + 21 = p*l. Suppose z = 3*n - 2*z - 42, 0 = n + 2*z - 2. What is the lowest common multiple of l and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - j**2 + 0*j**2 - 2*j**2. Let v = 3 + -2. Let q(h) = -h - 1 + v. What is q(x(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 6. Let l = -13 + 20. Let o be k(l). Let b(s) = 6*s**2 - s - 1. Calculate the least common multiple of 22 and b(o).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.45644 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:04 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -140 + 140 - ((-4)\/(-6))\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -390*t - 19. Let n = 20 + -26. Is v(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -456280?\nAnswer: 1\/57035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 198.19416 and 10.\nAnswer: 208.19416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7099 - 6955. Solve 7*h - 31*h + k = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffeefffffefef.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 3, 2.1, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 6560450281 - 6560450281.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1127484586*-2\nAnswer: 2254969172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/4, 0.2, -5, -1\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 2*m + 2. Let d be s(4). Suppose -d = 2*o - 5*o. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 1 (c) -3\/2 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r = 62*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33290843 is divided by 216.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = i + 8*b, -2*i + 3*b = 5*i - 8*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 69*r + 55395 = 0. List the prime factors of r.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261839*z = -261843*z - g + 32, -7*z - 3*g = -56 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231.4 - -789.6. Let x = -1025.73 + q. Let i = x - -4.7083. Round i to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1571 and (2 - (-18)\/(-10))*-1 - 70\/400.\nAnswer: 12568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 2*k**2 + 2*k - 3. Let j be a(-3). Let n = j - -2. Factor -2 - 2*w**4 + 0*w + 4*w**2 + 2*w + 0*w**5 - 4*w**3 + n*w**5.\nAnswer: 2*(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 200 = -3*y + 14, -5*y - 350 = 5*u. Let g = 83 + y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((276360\/(-539))\/(-94))\/(4\/(-22)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 42*a - 29*a - 52*a + 4*h, -5*a + 8*h + 47 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 342994*r**2 - 3*r + 112706.\nAnswer: 685988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11796 is divided by 1291.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 1\/6*s**4 + 1\/60*s**5 + s**2 + 1\/3*s**3 + 0 + 0*s. What is the units digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710279191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305317815.\nAnswer: 5, 261063563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 823278134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92154.72 grams in micrograms?\nAnswer: 92154720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 559 (b) -0.5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 51*o**3 - 7*o + 4227.\nAnswer: 51*o**3 + 4227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 162*k**3 + 12*k**2 - 22*k + 1. What are the prime factors of u(2)?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20227885?\nAnswer: 5, 4045577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*n + 16 = 0, -4*o - 4 = -2*n - 0. Let t be (((-1)\/(-3))\/o)\/((-44)\/(-924)). Solve -6 = p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 2. Let t(r) = -52*r - 35. Let y(v) = -2*g(v) + t(v). What is the derivative of y(b) wrt b?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62\/9, 5, -2 in increasing order.\nAnswer: -62\/9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 1. Let a(z) = -z. Let k(j) = a(j) - w(j). Let n be (-2 - 1)*(-8)\/(-6). Let i be ((-4)\/8)\/(2\/n). What is k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/(-30) - 105\/30. Which is smaller: -5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*u**2 - 197*u**2 + 2*u**3 + 707*u**2 - 173*u**2 - 519*u - 172*u**2.\nAnswer: 2*u**3 - 519*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*j = 3, -m = j - 2*j - 8. Let v = 0.6 - 0.3. Which is the fourth biggest value? (a) v (b) 3 (c) 2\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/3)*u**(-12))**(2\/55) assuming u is positive.\nAnswer: u**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 91*m + 4082. Determine s(-50).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17229, 137829, 465177, 1102647, 2153613?\n\"Answer: 17229*x**3 - 3*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 + 11*f - 13. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -35. Is 2\/17 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7400*(-3 - (-3499 + -4)). Round g to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65043748 is divided by 982.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (48\/56)\/((-51)\/(-194803))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 8*n - 9. Let f be j(6). Suppose 11 = s - 22. Suppose 3*x - a = x + 20, 0 = 3*x - f*a - s. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-5220)*(-15)\/((-6)\/(-2))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0. Suppose 3*x = -14 - 31. Let h be (x\/3 + 1)\/1. What is the nearest to 0 in w, h, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47182 times 0.2?\nAnswer: 0.094364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 times -0.4?\nAnswer: -299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -22, 5 in increasing order.\nAnswer: -22, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*d**5 - 307*d wrt d.\nAnswer: 5200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 112.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3393 and 9477?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23.5 (b) 4\/9 (c) 0.094 (d) -63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2*z)**(-14)\/((z**(-6)*z)\/z**1)*((z*z*z**8*z*z*z)\/z)\/(z\/(z*z**4))*((z\/z**7)\/z)\/z*z*z**(-2\/3) assuming z is positive.\nAnswer: z**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 4. Let n(b) = -3*b - 3. Let z(o) = -o**3 - 17*o**2 - 15*o + 11. Let p be z(-16). Give p*n(k) - 4*m(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 - 8 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15163 + 30468. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 7. Let m(v) = 2*v - 3. Let h be (-7 - (1 - 4)) + 8. Determine h*x(g) + 9*m(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42395*i*v - 1698*v + 11 wrt i.\nAnswer: -42395*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*4*-5 - (sqrt(78) + -1*-3*sqrt(78)))\/(sqrt(30)\/(sqrt(200)\/sqrt(10))*-2).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00187 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*l - 5*l + 240, 2*r - 270 = -5*l. What is the highest common factor of 130 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269*g**3 - 1260*g**3 + 780*g**3.\nAnswer: -1749*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628239.\nAnswer: 3, 61, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m**5\/3 + 4*m**4 - 16*m**3 + 20*m**2\/3 + 2*m = 0. What is m?\nAnswer: -3, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2730180508 to the nearest integer?\nAnswer: 52251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -14. Let x = 5 + -4.3. Let q = 0.6 - x. Which is greater: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)**(-7\/11)*((x**9\/x)\/x)\/(x*x\/x**(2\/9)))**(-2\/29) assuming x is positive.\nAnswer: x**(-908\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*s - 14 = 0, 4*s = -5*j + 2*s + 23. Solve -4*m - 6 = f - 21, 0 = 2*m - j*f + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*d = -4, -2*d - 9 = -k + 3*d. Suppose 2*o = -0*o - 5*p + 67, o + k*p - 35 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946094?\nAnswer: 2, 3, 19, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - sqrt(2299)*1)**2 + -3 + sqrt(2299)*1*-4 + ((sqrt(2299) - (sqrt(2299) + 0))*-5 + 4)**2 + 4.\nAnswer: -44*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 6*s**2 + 4*s + 1\/3*s**3 + 0. Let m be y(-5). Sort 0, -2, m.\nAnswer: -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**2 + 13\/3*o**3 + 75*o - 77. Find the first derivative of b(x) wrt x.\nAnswer: 26*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*g**3*z + 8891417*g**3 - 25726*g*z**2 wrt z?\nAnswer: -24*g**3 - 51452*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2457*l - 697 = 2498*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 58. Solve -x = a*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 65538 + 18927. List the prime factors of f.\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*u = 133*u + 8, -4*n = -5*u - 14. Let j(l) = l**3 + 3*l**2 - 2*l + 3. What is the remainder when j(-3) is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l - 8. Suppose 5*m - 299 + 269 = 0. Give u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and (248\/120)\/((-24)\/15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0547? (a) 518 (b) -0.3 (c) 1.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from rrrrrrrriririrrriirr?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.4. Let h = 1.4 - f. Sort h, 5, -3 in increasing order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 1659270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -2. Let j = 5 + -24. Let d = l + j. Which is smaller: d or 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 81, 104, 139, 192, 269?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 256 - 129. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, -64, 5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 9. Calculate c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1117058821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -4, 22, 66, 134, 232, 366?\n\"Answer: q**3 + 7*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 155, 313, 471, 629, 787, 945?\n\"Answer: 158*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.883 rounded to 1 dp?\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-12) + (-4275)\/(-6750). Factor -2\/5*l**2 - g - 6\/5*l.\nAnswer: -2*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Let h = -1.76 + 1.5. Let m = 0.24 - h. Which is the smallest value? (a) m (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54914000 rounded to the nearest one hundred thousand?\nAnswer: -54900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1737.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 11 - 11 - (-1 + 3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 14) to base 3\nAnswer: -121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + (-353)\/(-11))*-11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711582 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**4\/2 + 9*x**3 + 6*x**2 - 9*x - 15\/2 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 45. Suppose -i = -2*n + 17. What is the smallest common multiple of 8\/(-44) + (3 - (-435)\/33) and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4422972 and 21441?\nAnswer: 30960804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*o**3 + 32*o**3 + 31*o**3 - 10 + 10.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v - s, -v + 22 = -19*s + 23*s. Solve -33 = v*n - 5*r, -4*n + 2*r - 21 = r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -3*c**5\/2 + 7*c**4\/12 - c**3 - 2*c + 78. Find the third derivative of a(t) wrt t.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and 273.\nAnswer: 274.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23287*s - 25485 wrt s.\nAnswer: -23287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:07 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -406*s + 10. Let j be r(-10). Find the third derivative of 49*v**4 - 4070 + 48*v**2 + j wrt v.\nAnswer: 1176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1102.7 + 1102. Which is the closest to 1? (a) 2\/3 (b) -0.01 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -470, 7, 5, -2 in descending order.\nAnswer: 7, 5, 2, -2, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*o - v + 4, 0 = -4*o - 4*v - 8. Let m = -70 + 76. Suppose 22*t - 19*t = 2*d - 9, 4*d - 12 = 4*t. Solve d = f + o*f - m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/6, 0.1, -26363693.\nAnswer: -26363693, 0.1, 1\/6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/(c\/c**(-5))*c)\/c**1)\/(c**3\/c)**(-21\/2))**15 assuming c is positive.\nAnswer: c**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6908, -27322, -61214, -108590, -169456?\nAnswer: -243818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 6*y + 75. Calculate the remainder when 135 is divided by d(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:25 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 21060218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/16 and 33\/1792.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87.23 + 1.77. Let x = 89.2 - m. Let r = 0.4 + -0.3. Sort r, -4, x.\nAnswer: -4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k + 5*k**2 + 3*k**2 - 5 - 7*k**2. Determine a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.0473\nAnswer: 0.4257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 - 24 = -4*j. Let h = j + 87. Is (92\/h)\/((-10)\/105) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 - 63 - 232)*(-n + 4*n + 0*n)*(5 + 3 + 11) + 2*n - 2 + 2.\nAnswer: -27358*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*m + 6*m + 11, 5*m - 20 = -2*v. Factor 3*x**2 - x**2 - m*x**3 - 4*x**2 + 0*x**2.\nAnswer: -2*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 3*y. Let v be (-184)\/(-10) - 13*2\/65. Solve v = -y*i + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 220942.\nAnswer: 441884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/126 and -9\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**2 + 5*o + 1. Does 28 divide m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-317)\/7 - (-4)\/14. Let n = s + 13. Let k = n + 152. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1288670 + 1374293 = 71*z + 600484. What are the prime factors of z?\nAnswer: 3, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 + 0.7. Let z = 0.1 - g. Let p be ((-9)\/(-6))\/((-3)\/(-1)). Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 114*t + 463. Give i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 3. Let j(f) = -f**3 + 10*f**2 + 12*f - 10. Let z be j(u). Let l be (6\/(-14))\/(123\/(-287)). Which is the nearest to z? (a) -5 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 119.3.\nAnswer: -119.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 + q + 1. Let t be i(1). Let m = t - -4. Solve -m = -j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 4}. What is prob of picking 1 r and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1141936*0.533\nAnswer: -608651.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -9\/5452960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 9. Let b(u) = -2 + 12 + 3 - 12. Let c be 2\/4 + 74\/(-4). Determine c*b(f) + 2*k(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 940469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 4036188013508?\nAnswer: 4036188013507.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16*z**3 + 7*z**2 - 20*z + 16. Let v(w) = 3*w**3 - 2*w**2 + 7*w - 5. What is -2*j(o) - 7*v(o)?\nAnswer: 11*o**3 - 9*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:55 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 11568, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 18770315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-490*x - 417*x + 342*x)*(-7*x - 3*x + x).\nAnswer: 5085*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(3 - (-3 - -2)). Let i(g) be the first derivative of g**4\/4 - g**3 + g**2\/2 - 5*g + 1. Let w be i(k). What is the greatest common factor of w and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*6 + sqrt(3) + -3.\nAnswer: -5*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**4 - 66*y**3 + 348*y**2 - 654*y + 379. Let d(z) = 55*z**4 - 395*z**3 + 2090*z**2 - 3925*z + 2275. Let o(i) = -4*d(i) + 25*n(i). Factor o(l).\nAnswer: 5*(l - 5)**2*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22029\/4 - 5506. Let d(a) be the second derivative of -35\/6*a**3 - 5*a**2 + 7\/4*a**5 + 8*a + 0 - x*a**4 + 5\/6*a**6. Determine g, given that d(g) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7016217 rounded to the nearest one hundred thousand?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87900 rounded to the nearest one thousand?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 336 = -5*i. Let l = 420 + -280. Suppose -2*u + 7*u - l = 0. Calculate the greatest common divisor of u and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.939 and -89.\nAnswer: -83.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 6) + -24 + 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-5)\/12*36\/8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 2\/9 (c) -5 (d) -2 (e) -4 (f) -1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 times 0.1?\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**5\/60 - 5*r**4\/24 - r**3 - 10*r**2. Let x = 7 + -4. Suppose -4 = 4*i, 4*g + 0*i = x*i - 13. Calculate n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3896*d**3 + 22*d**2 - 12*d. Let o(h) = -779*h**3 + 4*h**2 - 2*h. What is -11*o(g) + 2*q(g)?\nAnswer: 777*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*z - 10*i + 9*i, 4*i = 2*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/11)\/(i\/(i*i*(i\/(i**(1\/6)*i))\/i)))\/(i*i**1)**(5\/2))\/((i\/i**6)\/(i\/(i\/((((i\/((i*i**(-2\/9))\/i))\/i*i)\/i*i)\/i)*i)))**(-6\/5) assuming i is positive.\nAnswer: i**(-3437\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 34 = -28. Suppose -7*i = r*f - 3*i + 2, 4*f + i = -7. Let z(m) = m**3 + m**2 + 4*m + 3. What is z(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 10963*g + 10967*g + 26 = 0, -3*g - 3 = v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 763 or 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 4*k + 5, -3*y + 5*k + 1 = -14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3331, -3 in descending order.\nAnswer: 3331, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3637 (base 8) to base 15\nAnswer: 8a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2 - 75\/(-18))*4. Which is the nearest to 1? (a) m (b) 0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1493430044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 5, -4, 3, -3461, 10\/3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8*(-3)\/(-6) - 2)\/(-1). Let f(g) = -103*g - 5. Let j be f(y). Let d = -107 + j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (1 - 4\/(-46)). Let t = -0.8 - -0.87. Let x = t + 0.03. Which is the closest to x? (a) h (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/67473 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 13 - 4\/(-12)*(2 + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1\/2, -17, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 11690*w - 58325.\nAnswer: -5*(w + 5)*(w + 2333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2932 and 8.\nAnswer: 5864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + 0*n - 3*n + 4*n. Suppose -15*v + 58 + 32 = 0. Let m(o) = 4*o**2. Let k(l) = v*g(l) - 10*m(l). Let k(j) = 0. Calculate j.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbzkz. What is prob of sequence bs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 25 + 15. List the prime factors of (j*2 - -2)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33051693 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8c28 (base 13) to base 6\nAnswer: 230530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7 + v**2 + 3 - 7*v - 30*v**3 + 18*v**3 - 4*v**2 + 11*v**3. Determine b(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0*g**3 + g**3 + 61*g + 67*g - 65*g**2 - 27 - 43*g + 34*g**2. Give y(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 - i + 3. Let v be 3\/1 + 0 + 2. Suppose -4*c + 20 = 4*k, k = 5*c - 4*k - v. Suppose c*m = 6*m + 3*p + 9, -5*m + 9 = -3*p. What is j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {e: 2, m: 4, p: 2, i: 2, l: 3, r: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-15)\/(k**6\/k))\/((k**(-3\/8)*k)\/k**(-11\/2)))**(-1\/13) assuming k is positive.\nAnswer: k**(209\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.638 + -12.92. Let h = w - -0.596. What is h rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g - 10. Suppose 4*f - 18 = 2*k, 5*k = 3*k + f - 9. Let i be y(k). Solve -4*j = -5*j - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/513?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 8, 6*r - 9 = -n + 2*r. Let h = -0.96 + -44.04. Let c = -78 - h. What is the nearest to n in 2\/13, c, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 926 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24453137 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and 3?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o**2 + 97*o - 16. Give u(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1695014, -1694931, -1694848, -1694765?\nAnswer: -1694682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -190\/3. Put k, 3\/5, -2\/11 in descending order.\nAnswer: 3\/5, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.7 in 0.03, -4, -8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9913.\nAnswer: 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 35*m**2 - 896*m + 56. Let b(r) = -r**2 + 32*r - 2. Let z(v) = -28*b(v) - x(v). Let p(g) = 2*g - 27. Calculate z(p(j)).\nAnswer: -28*j**2 + 756*j - 5103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -5, 5, 37, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + sqrt(500)*6)*-3*-5 + -6*-1*3*sqrt(500))*-4 + 4)**2.\nAnswer: -39360*sqrt(5) + 121032016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*b*d**2 + 282*b - 36099*d**2 wrt b.\nAnswer: -34*d**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 = -0*f + f, -2*f + b - 13 = 0. Let n = f + -4. Let p be 3366\/24 + 2\/n. Calculate the highest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**3\/3 + 25*a**2\/2 + 20*a + 45. Let v be k(26). Let p(h) = 14*h**2 + 17*h + 20. Is p(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 312\/(-5) + 18\/45. Let r be n\/(-4) + (-1)\/(-2). Let c = r + -6. What is the highest common factor of 40 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6419\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:06 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 15816214*b**3 + 83384134622136*b**2 + 146535053386720964384*b - 2051507090747879169664.\nAnswer: (b - 14)*(b + 5272076)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 185 = -5*l - 3*f, -138 = -3*l - 2*f. Suppose i - 144 = 3. Calculate the remainder when i is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 - (-1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 87696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-396)\/2970)\/(17\/5)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 148*z**2 + 444*z. Let x(f) = -f**2 - 2*f. Determine -k(m) - 222*x(m).\nAnswer: 74*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o + 16. Let n be s(-4). What is the highest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:02 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2*(-3)\/6). Suppose -31*i + 28*i = q. Solve i*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 4 + 12 = 0. Let r(m) = 1. Let a(h) = h + 6. Determine c*a(k) - 3*r(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 - 3*x - 1. Let s be y(-2). Solve 2*q - 2*d - 18 = 0, 5*q - s + 4 = -5*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*u + 24 = 0, n - 5*u - 33 = 3*n. Sort -2, n, -8.\nAnswer: -8, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*w + 19, -3*w - 845 = i - 829 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0. Let t = -0.1 - 0.5. Let p = d + t. Which is the second smallest value? (a) -0.07 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**3 + 84*q**2 + 4*q**5 + 3*q**2 - 37*q**2 + 187*q**2 wrt q?\nAnswer: 240*q**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose -2*d = 2*d - 56. Let h = -7 + d. Solve j = q*b - h, 3*b + 2*j + 2*j - 32 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/6 - 53*t**2\/6 + 151*t - 828.\nAnswer: (t - 23)*(t - 18)*(t - 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2. Let v = 7 + -6. Let g be v*((-9)\/3 - -2). What is i(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -406, -743, -1080, -1417?\n\"Answer: -337*z - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21995892*m**6 - 54631*m**2 + m.\nAnswer: 2639507040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -737 in 47, 2\/15, -1, 1\/4, -1\/3, 2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(-3\/5)*o)**(-3\/22)\/(o**2*o)**11 assuming o is positive.\nAnswer: o**(-3699\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 2578636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 57 = 3*c - 0*v, -5*c + 231*v - 226*v = -100 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 208 or 207?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000987 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 263725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - (6*sqrt(88)*-2 + sqrt(88))) - (sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88)*1)*1)))\/(sqrt(16)\/(sqrt(8)\/sqrt(4)) - -1*sqrt(128)).\nAnswer: 11*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22178 is divided by 792.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**0*(d*d**(-17)*d*d)**8)**(-2\/35) assuming d is positive.\nAnswer: d**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/20 - p**4\/24 - p**3\/6 + 3*p**2\/2 + 3. Let x(h) be the second derivative of t(h). Calculate x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156122817.\nAnswer: 3, 181, 317, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25753, 51483, 77213, 102943?\nAnswer: 128673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 627*u**6 - 2*u**2 - 344*u wrt u?\nAnswer: 75240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let n = -37 - -43. Let j = n - 5.5. Sort -2\/17, j, c in increasing order.\nAnswer: c, -2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v + 43*v + 23*v + 293*v + 334*v.\nAnswer: 646*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 5:52 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 919 + -480.3. Round g to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -4. Suppose 3*l = -3*r - o, 4*l - 1 = 5*r + 1. Let w be (-3)\/6*l + -1. Let b(f) = f - 1. Give b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0*c**2 + 0*c**2 + 2*c**2 - 7*c**3 + 2 + 12*c**3. Let r(u) = -u**3 + u**2 + u + 1. Calculate n(w) - 2*r(w).\nAnswer: 7*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 2*a. Let d(b) = 3*b - 4. Let x be d(2). Let c(h) = h**2 - 4*h**x + 12*h - 8*h - 5*h. What is -7*c(v) - 4*l(v)?\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (3 + 0)*(1 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let g(t) = 2*t. Suppose 0 = 4*p + 5*f - 10, -2*p = -2*f - 14. Let k(d) = p*a(d) + 3*g(d). Let j(u) = -3*u. Calculate k(j(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524358437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 17*h + 12. Let w be x(8). What is the remainder when (-9)\/(-36) - (-83)\/w is divided by (12 - 0)\/((-18)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 57490.\nAnswer: 57490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13860*g**2 + 229*g - 3 + 233*g - 461*g.\nAnswer: 13860*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98456 or 98439?\nAnswer: 98456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-5)\/(15\/6))\/(-1). Let s be (1*l)\/(12\/(-48)). Let n be 2*s + (-11 - -14). Which is greater: n or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 20 = -9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 12:38 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 15 (b) -24\/11 (c) -3\/4 (d) -0.05 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1379*x = -1376*x - 9. Suppose 3*t = t - 3*i + 4, 19 = 5*t + 3*i. Suppose 0 = -t*p + 2 + 23. Solve -x*s = -p*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-2)\/(-2)) + 2. Let m = 121082 + -121067. What is the highest common divisor of y and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -45*j**2 - 2105*j - 7594. What is m(-4)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*(-63)\/(-315)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24ccb (base 14) in base 6?\nAnswer: 1534123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 15*o**2 - 9*o - 23. Give b(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1024.4 - 761. Let a = 258 - f. Suppose -2*t = 4*t. Do a and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 + 10*n + 17. Give z(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(637) + 3 - sqrt(637)) + sqrt(637)*-2*-6)**2.\nAnswer: 378*sqrt(13) + 51606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**2 + 3*l - 3*l + (3 - 9 - 2)*(0 + 2 + 0)*(-l + 2*l + l)*(l - 4*l + 4*l + (5 - 2 - 2)*(-l - l + 0*l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 142 - 336. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-284)\/8 - 1026\/684?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + -115. Let a(k) = 3*k**2 + 27*k - 15. Let f(s) = -2*s**2 - 14*s + 8. Let o(u) = -3*a(u) - 5*f(u). Is o(b) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2711285 = 31*f + 316*f + 1130700. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-28) + 1\/(-14). Let n = 0.103 - -0.167. What is the nearest to n in b, -4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -50. Let x = -47 - d. Suppose -u + 3 = 5, x = 2*g + 2*u - 42. What is the greatest common divisor of g and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.877 and 10623 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4254406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(7 + 1 + 13*j**2 - 6) as b*j**2 + f*j + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, 0.2, 2, 0, -13\/5 in increasing order.\nAnswer: -13\/5, -5\/8, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/11 + 10374*c\/11 + 12268224\/11 = 0.\nAnswer: -3363, -1824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 22*g + 145. What is the remainder when 439 is divided by y(16)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 5*x. Let j(t) = 2*t**2 + 4*t. Let v(o) = 3*o**3 - o**2. Let q be (-6)\/4*6\/9. Let a be v(q). Give a*d(f) + 5*j(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 2 - (1 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -165be7 - -e6?\nAnswer: -165b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 3.98. Let z(o) = -o**3 - 8*o**2 + 8*o - 13. Let j be z(-9). Let w = -5\/13 - -17\/78. Put k, w, j in ascending order.\nAnswer: j, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, s: 5, k: 3, p: 3}. What is prob of picking 4 x?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1654227708125 and 0.1?\nAnswer: 1654227708125.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*h + 1775 = -1521 - 6397 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 5, -9636, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**4 + 57*h**3 - 454*h**2 + 1323*h - 1291. Let y(u) = 2*u**4 - 114*u**3 + 909*u**2 - 2646*u + 2583. Let q(i) = 9*g(i) + 5*y(i). Factor q(b).\nAnswer: (b - 48)*(b - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -16*d + 11. Let u(x) = -x**2 + 64*x - 45. Let j(k) = -9*h(k) - 2*u(k). Is j(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 14 = 3*i, -4*t - 8 = 2*i + 2*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(2736))**2*4*2 + 3.\nAnswer: -44173 + 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdilt. Give prob of sequence igd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2 + 2)*((-2*o - 2*o + 0*o)*(21 - 70 + 183) + 2*o + 3*o - 3*o).\nAnswer: -2670*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 10354?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3210000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43505 (base 6) in base 13?\nAnswer: -297b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = 48. Let o = 1654 - 1622. Let l be -1*j*o\/(-12). What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 - 2.1. Which is the third smallest value? (a) 1\/2 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.049, -130929, 4 in increasing order.\nAnswer: -130929, 0.049, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512)*-3*3*5)\/((sqrt(486) - sqrt(486)*2) + sqrt(150) + sqrt(150) + sqrt(150)*3 + sqrt(150)))**2.\nAnswer: 8100\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15378 and 2150357.\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, 0, -1, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*f**2 + 313*f**2 - 121*f**2.\nAnswer: -370*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -0.5, -22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4 + 58749*m**3 + 234981*m**2 + 58739*m - 352470 = 0.\nAnswer: -58745, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20702 - 18?\nAnswer: 20695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341528431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2763 - -2745. Which is smaller: k or -213\/11?\nAnswer: -213\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*m - 215 - 131 = 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5 (b) -5 (c) -2\/17 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 18064920.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 - 6*i + 10. Let c be (-28)\/(-6)*27\/(-18). Let u be o(c). Factor 2*g**3 - u*g - g**3 + 2*g**3.\nAnswer: 3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846203 is divided by 230732.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 1 - 1 + (-1 + 3 - 4)*(-12*m - m - 6*m) in the form o + w*m and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y**2 - 2*y**2 + 2*y**2)*(y + 5*y - 4*y + (y + 0*y + y)*(-3 + 1 + 4) + 4*y - 3*y + y + 4*y - 5*y - y) + y**2 + 13*y**3 - 3*y**2 - 3*y**3.\nAnswer: 82*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 16*w**2 + 27816*w + 12089529 = 0.\nAnswer: -3477\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - 24. Let b = -127 - i. Factor 21*h - b*h**2 + 2*h + 10*h.\nAnswer: -3*h*(h - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m + f - 823 = 0, 3*m - 2*f = 499. Suppose 4*g - m = -g. Is (g\/9)\/1*9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 73. Let a(r) = r**3 + 13*r**2 + 12*r + 5. Let p be a(u). Suppose 0 = -3*z + 4*c - 19, z + 10 = -0*z + 5*c. Sort -10, p, z.\nAnswer: -10, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*j - 20 = -3*y, 0 = 3*j. Suppose -z = 4 - 7. Suppose -r - 134 = -4*p, -p + z*r = -y*p + 93. What is p rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -5, -3\/11, -1\/18, -1?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/20 - a**3\/2 - 3*a**2\/2 - 2*a. Let p be y(3). Suppose -4*r = -p - 77. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/120 + 2*r**5\/15 - r**4\/12 + 3*r**3\/2 - 4*r**2. Let m be u(6). Let w = -32 + m. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12789*v**5 - 24*v**2 - 6376*v**5 - 6372*v**5 + 4*v**4 wrt v.\nAnswer: 2460*v**2 + 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -273, -428, -583?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 + -7 - -185) + 1 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 8*i**2 - 8*i + 6. Let k be w(9). Suppose k = j - 4. What is the remainder when 55 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006056499 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 2\/7*a**2 + 4\/7*a.\nAnswer: 2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -3. Suppose -2*v = 2*s - 1 + 5, -2*s - 10 = -v. What is the units digit of (a\/(-2))\/(v\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1905*o - 177177. Determine l(-93).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*4*sqrt(300)*-2)**2*-6.\nAnswer: 230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68050942 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 250.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -131525.39096?\nAnswer: 131527.39096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -381*f**2 - 2*f. Let d(y) = 380*y**2 + 3*y. What is -3*b(l) - 2*d(l)?\nAnswer: 383*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(14\/(-49)) - (-24460)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/35 + 1257\/(-7). Let b = 72 - w. Let g = -133 + b. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*m - 20 + 104 = 0, 3*r = -2*m + 142. Suppose -3*o - 2*o = -r. Suppose h + 0 = o. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 z when three letters picked without replacement from llzztzcctz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97491643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.643 + -0.656. Sort 0, -53, c in decreasing order.\nAnswer: 0, c, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -44*p - 703. Let m be z(-16). What is the third biggest value in 0.2, m, -0.09, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26972.\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 - -907?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*x**2 + 6050\/9 - 220\/9*x.\nAnswer: 2*(x - 55)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/52 + (-1323)\/(-108)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**2 - 68*h + 127*h - 59*h.\nAnswer: 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.12 - 0.28. Let z = 0.4 + h. Let v be 1 - 1\/(1\/4). What is the nearest to 2\/9 in v, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/40 + 92\/10. Solve 2*k - 8 = 3*u, -2*k = -3*k + 4*u + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2 - 1. Let c be 1\/(((-2)\/f)\/14). Let m = -208 - -236. Calculate the greatest common divisor of c and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -32, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.98 - 5. Let g = -0.02000096 - i. Round g to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -60*(45\/(-4))\/3. Suppose -5*p = 4*l - 465, -20*p + k = 2*l - 15*p. Calculate the greatest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*c + 74*c + 796 + 1229 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 2:58 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**3 - 11*g**2 + 6*g - 4. What is the tens digit of l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (50\/4)\/((-37)\/7326). Is -274*(4 + (l\/10)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -159*t**3 + 4*t**2 + 2*t - 8. Let d be n(4). Let j be ((-90)\/(-8))\/(4\/d*4). What is j rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3412 - -10431?\nAnswer: 14343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/(-18)*(-36)\/30. What is the remainder when 14 + -10 + (-9)\/u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 11) to base 16\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.3083 years in centuries?\nAnswer: 3.473083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186734573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528114 is divided by 3665?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705388*b + 1705365*b - 1357 = 0 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i + 2*d - 39 = 0, 4*d + 10 = 2*i. Suppose 0 = 2*v + 3*p - 13, -p - 2*p = v - i. Solve 15 = 3*w - 4*b + 2, -3*w - v*b = -7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(108) - (sqrt(108) + sqrt(108)*-1))*2 + sqrt(108))*-6*4 + -3)**2.\nAnswer: 15552*sqrt(3) + 3359286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.09958 + 0.09958. Let l be (-34)\/(-30) - 2\/2. Which is the nearest to 0.05? (a) h (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33362, -33378, -33418, -33494, -33618, -33802, -34058, -34398?\nAnswer: -34834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 281.1518144 to one dp.\nAnswer: 281.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*y - 107*y + 145 = 0. Differentiate 4*v + 55*v**2 + y - 4*v - 22 wrt v.\nAnswer: 110*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 150 and -3164896720.\nAnswer: -3164896570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 2. Calculate t(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 10*t - 16. Let d be k(-7). Suppose 2*c = 4*v - 146, -31 - 33 = -v - d*c. What is the remainder when 153 is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 786 - 3063 = 0. Do g and 107 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003202611788 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 + 2*k**2 + k + 2. Let g be t(-2). Suppose 5*d - 45 = 2*d. Let y = d - g. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + 4. What is v(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v)*(-5*v - v + 4*v) + 0*v**2 + 2*v**2 - 3*v**2 - 3*v**2 - 2*v**2 + 3*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - (-19 + -128)) + -42.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/13)\/(6\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119700 divided by 6.\nAnswer: -19950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 436762471 to the power of 1\/2, to the nearest integer?\nAnswer: 20899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -4, -321, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38103 is divided by 108?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 2*b)*(-3 + 3 - 1) - 30*b + 6*b - 8*b - 4 - b - 5*b + 5.\nAnswer: -39*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2285.\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117*2 - (-11 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4100*a**5 - 3380*a**4 + 85764*a**3 + 151684*a**2 + 79840*a + 13200 = 0.\nAnswer: -165\/41, -1, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -44*(4 + (-27)\/6). Let h(w) = -2*w**3 - 3. Let v(p) = -2*p**3 - 4*p**2 - 6*p - 6. Let i be v(-2). Let x(t) = 8*t**3 + 11. Determine c*h(r) + i*x(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*t - 20520 = -189*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2\/3)\/1)\/(4\/282).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 10, 10, 0, -26, -74, -150?\n\"Answer: -s**3 + 4*s**2 - s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 - 131*k + 1151. Let j(v) = -6*v**2 + 196*v - 1726. Let l = -23 - -31. Let x(m) = l*w(m) + 5*j(m). Suppose x(p) = 0. What is p?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i - 55 + 100 - 14 to g + d*i and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -50126*d + 50127*d + 0 + 38 in the form b + c*d and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -11*h**7\/189 - h**6\/15 + h**5\/45 + 52*h + 47. Let i(o) be the first derivative of u(o). Factor i(g).\nAnswer: -2*g**3*(g + 1)*(11*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 115, 5 in descending order.\nAnswer: 115, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5270 divided by -62.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p - 6. List the prime factors of q(10).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -31\/260?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14625, -14655, -14687, -14721?\nAnswer: -14757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-261)\/12 + 15. What is the nearest to c in 2\/11, -6\/7, -5\/4, -31?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 - 5. Solve 0 = d*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -14\/11 (c) 2 (d) -18 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - -3) + 3 - (24 - (27 + -4)) - 8?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5*(-1 + 3))\/(-1). Let o be 14\/35 + (-4)\/w. Suppose -3*c = 4*y - 1741, o*c + 3*c - 3*y = 1776. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 160, 122, 82, 40, -4, -50?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from {a: 1, y: 2, g: 1, n: 2, e: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(242) - ((sqrt(242) - (sqrt(242) + 1)) + 0)) - (3*(sqrt(242) + (0 + sqrt(242) - sqrt(242))) + -3)**2.\nAnswer: -2193 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/4 - 11*c**3\/3 + 5*c**2 + c - 4. Let i be d(10). Let z be (-1 - 1)\/(-2) - 0. Is z smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -192*b - 5. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 - 102. Suppose -z + 10 = 3*h, -5*h + 80 = -3*z + 8*z. Calculate the remainder when -1 - b\/((-3)\/94) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3141 - -4317. Calculate the greatest common divisor of y and 1323.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(36\/(-9) + 5). Solve 5*g + 21 = t, -13 = 5*g + r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 321, 472, 877, 1662, 2953, 4876, 7557, 11122?\n\"Answer: 21*f**3 + f**2 + f + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/75920 and 93\/3501080?\nAnswer: 91028080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3329*v. Let m(l) = 28*l + 30*l + 34*l - 128*l + 35*l. Determine z(m(d)).\nAnswer: -3329*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 45 = -a, -a - 4*i + 132 = 3*a. Let x = a - 20. What is the least common multiple of x and 24\/(-9)*(-3 - 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:59 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/127 - -139\/254. Let w = -29 + 29.2. Put -3, w, n, 0.4 in increasing order.\nAnswer: -3, w, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d + 3*d)*(0 + 1 - 2) + (-1 - 2 + 2)*(3*d - 1 + 1) + (1 - 1 + d)*(0 - 1 - 1) - 1 + 1 - 2*d as g*d + i and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 2*g**2 - 3*g + 3. Let y(z) be the first derivative of -z**4\/4 + z**3\/3 + z**2\/2 - z + 20. Let t(s) = c(s) + 2*y(s). Calculate t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 8. Suppose -a*i + 42 = -4*d + 620, -1 = i. Calculate the greatest common divisor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 310, 622, 946, 1288, 1654, 2050?\n\"Answer: q**3 + 305*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11c96c - c1?\nAnswer: 11c89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30360226 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 13 - 97. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from knd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 + 13*m**2\/5.\nAnswer: -m**2*(m - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982523847?\nAnswer: 3, 327507949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3823.056 micrograms to grams.\nAnswer: 0.003823056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.096959 - 254488?\nAnswer: -254490.096959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/5))**36*l**7*l**(-2\/15)*l*l)**(-1\/73))**(4\/5) assuming l is positive.\nAnswer: l**(332\/5475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 16*s - 465. Suppose 43 = 2*k + 5*b, 5*b - 4*b = 2*k - 37. What is the remainder when s is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*y + 1. Suppose 0*x + 6 = -x - y*p, 0 = 4*x + 5*p + 3. Let j(f) = f - 6. What is j(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 772*v. Let k(h) = -4*h - 13. Calculate d(k(l)).\nAnswer: 16*l**2 - 2984*l - 9867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c + 1, -3*c + 1 = -2*d. Let a(x) = 599*x + 3. Let q be a(d). Is q\/2 - (8 + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7379 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*n + 920 + 19 = 0, 2*g = -n - 951. Let c = g + 980. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/5)*d\/(d**(3\/2)\/d))\/((d**(2\/5)*d)\/d*d**(-2\/5)))\/(d\/(d**(-13)\/d)*(d*d\/d**(-3\/8))\/d)**(-11\/6) assuming d is positive.\nAnswer: d**(7037\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 - (138\/(-92))\/(3\/2). What is the greatest common divisor of x and 950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (2\/(-2) + 2). Solve x = -4*j + 3*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*7*50\/(-16275)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -132*s + 6. What is the hundreds digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666486?\nAnswer: 2, 41, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 2*m - 4. Let s be r(-3). Let q = -180.582 - -181. Let k = q - 0.418. Is k > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39360227 + -118.39369427. Let z = -118 - j. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -153\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*l + 159 - 173 = 0, 32 = -5*t - 4*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 962739.047 to the nearest 10000.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18621295 is divided by 97?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 41. Let c(z) = -z + 17 - 12*z**2 - l. Determine c(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {p: 3, d: 1, o: 8, g: 6}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1993 - 1420. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3768876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -106, -2098, -5496, -10300, -16510, -24126, -33148?\n\"Answer: -703*j**2 + 117*j + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 30 - 20 = 0. Let t(z) = 7*z**3 + 8*z**2 - 10*z + 17. Is t(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-8)*(-3 - 3). Let u = 2\/41 - -21\/410. Which is the closest to w? (a) -2\/13 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.907 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-81)\/18)*(5 - (-17 - 0))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 15*p - 2. Let u(k) = 10*k - 1. Let r(b) = -b**2 + 33*b - 278. Let v be r(15). What is v*u(d) + 5*s(d)?\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/5 and (1 - 4787\/4688)\/(546\/28 - 22)?\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.06, 3, 0, 0.07, -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2. Let l(p) be the first derivative of -672*p - 47*p**2 + 152 + 1338*p - 668*p. Give l(b(a)).\nAnswer: 94*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 1462525*a**2 - 2925035*a + 1462515.\nAnswer: -5*(a - 292503)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2144 by 3.\nAnswer: -2144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 58 - 77*a.\nAnswer: -77*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10010110110010111111001 (base 2) to base 13\nAnswer: 1040165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109154434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/7 + 39*n**2\/7 + 456*n\/7 + 144.\nAnswer: -3*(n - 21)*(n + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 409 = 4*t, -20*t + 207 = -18*t - v. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4932, -17231, -37762, -66531, -103544, -148807, -202326?\n\"Answer: -t**3 - 4110*t**2 + 38*t - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*m*x**3 + 13*l*m*x**2 - 131*l*m*x - 3*l*m - 105379*l*x**2 - 3900*l*x - 2*m*x - m + 2*x wrt x?\nAnswer: 6*l*m*x + 26*l*m - 210758*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2243 + 2.2243. Let o = -0.11 + 5.11. What is the closest to -2\/3 in r, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from iwvvttvtvtvvtwwvvxvv.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {c: 3, v: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**6\/600 - k**5\/150 - k**4\/120 - k**2 + k. Let i(u) be the first derivative of j(u). Factor i(n).\nAnswer: -n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 1. Let t(i) = 12*i**2 - 8*i - 8. Let j(o) = 4*o**2 - 3*o - 3. Let x(h) = -8*j(h) + 3*t(h). What is x(p(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5400, 5404, 5418, 5448, 5500, 5580?\n\"Answer: l**3 - l**2 + 5400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*r - 15, -1 = -2*i - 3*r + 8. Suppose z + 0*z - 32 = i. What are the prime factors of (-1 - z)\/(-3)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/42)\/(2\/(-12)))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*r - 20, -3*q - 20 = -2*r - 2*r. Suppose 9 = h - q*c - 4*c, -4*c = 0. What is the highest common factor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r = -57*r. Solve 2*t + 18 = 4*k, t + k + 3 = -r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 16. Let t be l(4). Let r be 4\/8*2*4. Solve 11 = 3*q + s - 2*s, t = -r*q + 5*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c + 27 = 33*c. What is the remainder when 26 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 2*f)*(21*f**3 - 34*f**3 - 20*f**3 - 3*f**3 + 0*f**3 + 4*f**3 + (0*f**2 - 2*f**2 + 0*f**2)*(-2*f - 3 + 3) - f**2 + f**2 - 2*f**3).\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) 0.1 (b) -1\/7 (c) -2 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/5*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.7 and 935.5347126?\nAnswer: 926.8347126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1*y*y**(-5))\/((y\/y**(-6))\/y**2) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 30. Suppose -w = -4 + j. Suppose -3*g - 4*r + 13 = -3*r, -3*g + 25 = 4*r. Which is the nearest to w? (a) 0.1 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 49*a - 422. Give n(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1 - 2 + 1 + j - 2. What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-310)*8520\/568.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z - 4. Let b be c(2). Is -1 + (9\/15 - 1754\/b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 6) to base 8.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29321936 divided by -63\nAnswer: -4188848\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -526 (base 12) in base 9?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d*x**2 - 7*d*x - 53*d - 756488*x**2 - 3209719 wrt x?\nAnswer: 12*d*x - 7*d - 1512976*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n + 5. Let d be -8 + (0 - -4) + 5. Put -4, d, n in increasing order.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219169942.\nAnswer: 2, 109584971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21327 + 48*s**5 - s**4 + 21327 + 2*s - 3*s**2)*((3 + 0 - 1)*(3 - 2 + 0) - 1 + 1 - 1 - 1 + 0 - 1).\nAnswer: -48*s**5 + s**4 + 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1046 + 1045. Put 3\/11, -0.5, l, -4\/7 in ascending order.\nAnswer: l, -4\/7, -0.5, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, v: 2}. What is prob of picking 2 h and 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*k*v**3 + 6*j**3*k*v**2 - 5*j**3*v**3 - 3*j**3*v - j**2*k*v - 2*k*v**3 wrt v.\nAnswer: -18*j**3*k - 30*j**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 37, 0.5, -84, 0.026, -4?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 64183135478757.\nAnswer: 64183135478756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692193 is divided by 431.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38241149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 102405 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.468658 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-828)\/552)\/(((-60)\/(-16))\/1). Suppose r = -4*m + 2*r, -4*m = 2*r. Suppose 0 = 2*c + 2*c - 12. What is the nearest to m in -4, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 4*z**2 - 4*z + 3. Let x be c(2). Suppose 0 = -b - x, b + 158 = r + 2*b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3764 times -1.0452\nAnswer: -3934.1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*m + 2. Suppose -3*t = -3*w - 144, -t = -3*t - 2*w + 104. Suppose 20 = -5*p + t. Calculate the greatest common factor of m and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8 - 48 - 35 + 7 + y**2 + 12*y + 23. Let u be k(4). Solve 2 + u = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -724388.3\nAnswer: -72438.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 minus -1.7?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23513205 divided by 5?\nAnswer: 4702641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6) + -14 + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373790152 to the nearest integer?\nAnswer: 19334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4816, 4608, 4404, 4204, 4008, 3816, 3628?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-10) + 15\/30)\/(6\/(-9))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000948 rounded to 6 decimal places?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 455768, 911536, 1367296, 1823042, 2278768, 2734468, 3190136?\n\"Answer: -c**3 + 2*c**2 + 455769*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elememeemmemmmm. What is prob of sequence lm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/3, -7.91, 4, 0.4, 5 in increasing order.\nAnswer: -7.91, -3\/4, -1\/3, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 31*n**3 - 34*n**2 + 27*n - 50. Let f be s(15). Round f to the nearest 1000.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -625 + 332. Let f = 295 + n. Solve -15 = -5*k + 5*m - 2*m, -k - f*m = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -0.2 (c) -5 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6058 divided by -3029.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 + -261. Suppose -8*a - 62 = -q - 45, 3*q - 28 = a. Sort 5, a, z in descending order.\nAnswer: 5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 219*w**5\/10 + 491*w**2\/2 + 3*w - 22. Differentiate p(c) wrt c.\nAnswer: 1314*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g + 54. Let f be g\/(-8) + (-2)\/(-8). Does 11 divide 202\/18 - f\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65.1 and -126.\nAnswer: -60.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -1891*b**2\/2 + 1224*b + 1640. What is the first derivative of p(g) wrt g?\nAnswer: -1891","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3040436 is divided by 353.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*1*5 - (1*sqrt(96) - sqrt(6))\/sqrt(2)) + -2 + (3*sqrt(84)\/sqrt(7))**2 + 4.\nAnswer: 22*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2 - v**3 + 5 - v + 9*v**2 + 3. Let k be 4\/2*(4 - (-5)\/10). What is the units digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, 993403, 2 in descending order.\nAnswer: 993403, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 + 2 + -4 + (sqrt(108) + 2 - sqrt(108)) - -1*((-2*sqrt(144))\/sqrt(6))\/(sqrt(1152)*2 + sqrt(8)))**2.\nAnswer: 602112\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (903\/(-1161))\/((-147)\/6)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-30))**1*(n**32\/n*n*n)\/(n**(1\/11)*n))**26 assuming n is positive.\nAnswer: n**(546\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.008 (b) -1\/4 (c) -48\/13 (d) 2.64 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-23)\/(h*h*h**20*h*h) assuming h is positive.\nAnswer: h**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 273\/5 - (7 - 333\/45). Let b = 7 - -4. Calculate the greatest common divisor of g and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 64 + 43*n**2 - 13*n**2 - 14*n**2 - 15*n**2 + 65. Let s(t) = -3*t. Determine s(q(k)).\nAnswer: -3*k**2 - 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.9 plus 18.6?\nAnswer: 392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -315*v**3 + 3*v. Let x(c) = 312*c**3 - 2*c. Calculate 5*g(d) + 4*x(d).\nAnswer: -327*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2\/9 + 1652168*f\/3 - 4956506\/9 = 0.\nAnswer: -2478253, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232111 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 0.0592045.\nAnswer: 8.0592045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 2, c: 1, n: 2, t: 1}. Give prob of sequence jtw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(720) + 0)**2 - sqrt(720) - (sqrt(2205)*-2)**2 - ((sqrt(245) + sqrt(245) + 1)*-5 + 4)*-1.\nAnswer: -8101 - 82*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*f + 42, o - 3*f = -2*o + 90. Calculate the greatest common factor of o and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-858027)\/6*(-3)\/((-6)\/(-4)). Suppose -d - 217895 = 2*p. Let s = p - -3631952. Round s to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*h, -5*h = 4*s - 0*s + 20. Let y(v) = v**3 - 5*v**2 + 5*v - 1. Let f be y(4). Suppose s*z = f*z. Solve z = k + 3 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (753\/(-6))\/(14\/(-12)). Let m = y + -108. Sort 3, -1\/2, -5, m.\nAnswer: -5, -1\/2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.1722743159\nAnswer: -0.1722743159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 508769*x - 371514 with respect to x.\nAnswer: 508769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*h - 39*h**3 + 320*h - 198*h to m*h**3 + r + l*h**2 + o*h and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -3*o + 4*y, -o + 1 = y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.335247 micrograms?\nAnswer: 2335.247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5\/7 - 536*x**4\/7 + 2192*x**3\/7 - 2208*x**2\/7.\nAnswer: -4*x**2*(x - 2)**2*(x + 138)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + 0*b**4 + 0*b**4)*(-1 - 4 + 3) + 7*b + 44*b**4 - 13*b**4 - 5*b.\nAnswer: 33*b**4 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -60 (b) -1\/3 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*z + 16*z - 5*z)*(-100*z - 595 + 595)*(-2*z**2 - z**2 + 4*z**2) to u*z + c*z**4 + v*z**3 + r*z**2 + d and give c.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3014 + 3013.5. What is the closest to -5 in 0.04, l, -0.1, 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p**2 + 10 - 10 + 5*p**2 + 5*p**2. Let a(b) = -293*b**2. Give y(a(k)).\nAnswer: -772641*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2269 - 0.226897554. Round i to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 2*m - 2*m)*(6*m - 7*m - 2442 + 2377) in the form s + p*m**2 + q*m and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -23, -72, -139, -224, -327?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + i**2 + i. Let y(w) = 8*w**3 - 257*w**2 + 7051*w - 65856. Let r(q) = 5*t(q) + y(q). Factor r(l).\nAnswer: 3*(l - 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/(-5))\/(-4))\/(2\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 2*o**2 - 2*o**2 + (0 - 1 - 2)*(-4*o**2 + 2*o**2 + o**2) + (-2 + o + 2)*(o + o + 0*o) + 5 - o**2 - 5 + 0*o**2 + 5*o**2 - 3*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 15) in base 6?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 + j - 4. Let d(h) = h**3 + 7*h**2 - 11*h - 35. Let n be d(-7). Suppose -34*g = -n*g + 64. Calculate s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-15) + (-12)\/10. Let g be (-45)\/(-15) - 0\/o. What is the greatest common divisor of 33 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - 12 = 0, 12 = -5*t + 3*i. Let v be (-28)\/(-35) + 32\/10. Solve v*w + p - 3 = t, 3*p - 3 = -5*w + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)*q)\/(q*q\/q**(-1\/10)))\/(q\/(q\/q**(-5))*(q**0\/q)\/q)*((q**(2\/3)\/q)**(2\/17))**2 assuming q is positive.\nAnswer: q**(3139\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/3 - 10*f**3\/3 - 10*f**2 + 10*f\/3 + 28\/3 = 0. Calculate f.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1505*n**2 - 73 + 143 - 1513*n**2 - 70.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 - 886*r**3\/7 - 254*r**2 - 890*r\/7.\nAnswer: 2*r*(r - 445)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2. Let b be m(1). What is the third derivative of -2*s**b + 3*s**2 + s**2 + s**6 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - ((-10)\/4 + (475\/(-6))\/25). Let y(w) be the first derivative of 0*w**2 + 8 + r*w**3 - 20*w. Differentiate y(z) wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -322. Let h = -97.5 + o. Let w = -6 - h. Put 0.1, w, -0.1, 0.4 in ascending order.\nAnswer: w, -0.1, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10935 and 86025?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Let j be 1 + -2 + 99\/3. Suppose p*a - 160 = j. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19496308200 + -0.0587.\nAnswer: 19496308199.9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46469*g**2 + 34863*g.\nAnswer: 92938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-26) - 7332\/(-676)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 823642, 823615, 823590, 823567, 823546, 823527?\nAnswer: 823510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 1. Let h(n) = -5*n**2 + n - 4. Let a(f) = h(f) - 4*q(f). Find g such that a(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47952*b + 46600*b - 94570*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, x: 8, e: 8}. What is prob of sequence ex?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.7 + 24. Let h = 2.6 - w. Which is the nearest to -0.1? (a) h (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168848*i**2 - 62355*i**2 - 175121*i**2 - 108541*i**2.\nAnswer: -514865*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.99*-0.09\nAnswer: 0.1791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n - 20. Which is the nearest to 1? (a) n (b) 1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1134, 2259, 3394, 4545, 5718, 6919, 8154?\nAnswer: 9429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 160?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25459 is divided by 1198?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) 1075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 < 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 8*f + 3*f + 37, 0 = 4*q + 4*f - 4. Let o be q + 3 + 0 - 0. Let d(a) = -18*a. What is the lowest common multiple of 20 and d(o)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 659, 1309, 1959?\n\"Answer: 650*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 22. Suppose 3*h + 16 = 5*g - 19, -g + h = -t. What is the smallest common multiple of (4 - 2)*2\/g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.51, -1\/5, -0.08, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -581898328 smaller than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 27*v - 116. Determine r(23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 13 = -u, -k + 1 = 0. Suppose -5*f + 0*f + 5*s = 20, -4*s = -8. Let w = f + u. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 178?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88244 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -4, -66, 90?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 19*d**2 - 4*d + 13. Let b(v) = -13*v**2 + 3*v - 9. Give 7*b(o) + 5*h(o).\nAnswer: 4*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Let k be (-230)\/18 - (-14)\/(-63). Let m = k + 9. Sort m, y, 1 in decreasing order.\nAnswer: 1, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -1325 + 245. Suppose -k = -2*p - p. Suppose -3*s + 0*s = -27. What is the greatest common divisor of s and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3218 (base 16) in base 5?\nAnswer: -414414020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r + 37*r - 26*r)*((-1 + 3 - 3)*(3 + 0 - 2) + 0 + 0 + 2)*(-14 - 4 + 24)*(3 - 5 + 3).\nAnswer: 150*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 1564 + 1543 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/604647?\nAnswer: -4\/604647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (34\/80)\/(710\/60 + -12) and -99\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a979a (base 11) to base 6.\nAnswer: 3225413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-173.3\nAnswer: -34.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -924.\nAnswer: -5\/924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/5 - 68*h**3\/5 + 698*h**2\/5 - 408*h + 360 = 0. What is h?\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1772584 + 0.95.\nAnswer: -1772583.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -33, -45, -55, -63, -69?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let x(w) = -579*w**2 - 77*w - 8. Give x(s(f)).\nAnswer: -579*f**2 + 77*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 175711 divided by -8\nAnswer: -175711\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1164)\/16490)\/((-6)\/4))\/((-2)\/(-10))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -17. Is 9 a factor of (-1)\/s - (-164)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 804.7451?\nAnswer: -64.379608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -3*b**4\/4 + 2*b**3\/3 + 2*b**2 + 6*b + 22. What is the tens digit of c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 156)\/(6*3\/594000). Round u to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:40 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (36 + -21 - 42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.3765 kilometers to nanometers.\nAnswer: 44376500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = 3*a + 2, 0 = 4*a + 4*n + 12. Suppose 0*k = 2*k + 22. Let z(l) = -3*l - 3. Let g(s) = 8*s + 8. Let x(b) = k*z(b) - 4*g(b). What is x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5\/(-2) - (-130)\/(-52)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 - 300*r + 11. Let y(u) = -u**2 - 60*u + 2. Determine 2*d(c) - 11*y(c).\nAnswer: -c**2 + 60*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251145932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 940 and 173860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 343503*j**4 + 2*j**2 - 2494458*j wrt j.\nAnswer: 8244072*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 761*t**3 + 23*t**2 + 13*t - 24909839 wrt t?\nAnswer: 2283*t**2 + 46*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16221\/3070 - 5\/307. Find the common denominator of 201\/18 + 1 + 1 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-130))\/((-112)\/80). Suppose -12 = -5*x - x. Suppose x*p = 5*p - 5*p. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 1 i when three letters picked without replacement from {i: 6, g: 4, t: 7}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2264, 8978, 20158, 35804, 55916, 80494?\n\"Answer: 2233*j**2 + 15*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59408 and 10?\nAnswer: 297040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -46705 + -0.226278\nAnswer: -46705.226278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.37, -1, 1, -8, 241 in decreasing order.\nAnswer: 241, 2.37, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -1, -5, -31.\nAnswer: -31, -5, -1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from ptpwlkg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/30 + (-4)\/6. Sort -5, 2, o in decreasing order.\nAnswer: 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*((-62)\/(-20))\/31)\/(1\/(-39)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 2, 2, 20, 62, 134, 242, 392?\n\"Answer: j**3 - 19*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 8*f - 3. Let t be a(-5). Let o be (t\/(-9))\/((-2)\/6). Solve 0 = -r + o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321.\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4288319 is divided by 151.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46496440 and -1.1?\nAnswer: 46496441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 240*m - 9. Let d(k) = 11*k**2 + 360*k + 13. Give -5*d(t) - 7*x(t).\nAnswer: t**2 - 120*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/(-4) - (2 - 1). Let f be 3 + 483\/(-30) + 0. Let n = h - f. Is n at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(4 - (-4 + 9)). Let -18*z**4 + 50*z**4 - 18*z**3 - 18*z**4 + 4*z + d*z**2 - 34*z**4 = 0. Calculate z.\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 1, q: 2, m: 8}. What is prob of picking 1 h, 1 m, and 1 q?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543224449.\nAnswer: 13, 2467, 48119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-21)*(4 + -1)*-6979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - 33?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 931768180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5140*i**5 - i + 10062 wrt i.\nAnswer: -102800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(37\/((-222)\/360))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-28)*20*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*-5*(-100)\/10625*-2?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let g = 4 - o. Let v be 0\/3 + 2\/(-23). What is the closest to 1 in v, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.5, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*z - 480 = -0*q, 0 = 5*z. What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -13*k + 16*k. Let b = 4751\/210 - 86\/35. What is the common denominator of b and k + 7 - (-6)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 3. Suppose -5*y - 5*f - 60 = 0, f - 4 = -3*y + 6*f. Let s be k(y). Differentiate s + 2*a**3 - 7*a**3 - 2*a**3 wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131239711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 + 151. Let l = 131.943 + w. Let k = 0.05808 + l. Round k to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299547, 299598, 299649?\nAnswer: 299700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 1 - 2 - -231?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -74, -1, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 9*t**5\/20 + t**4 + 2*t**3 - 3*t. Let y(l) = -l**3 - l**2 - l. Give -i(a) - 12*y(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l + 3. Let t(u) = -6*u + 2. Give -4*f(g) + 6*t(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/22)*s*s**0)**(-20) assuming s is positive.\nAnswer: s**(-230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 718 and -80.77.\nAnswer: 637.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15407*f**6 + 58*f**2 + f - 25.\nAnswer: 1848840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 17836*q + 17840.\nAnswer: -4*(q - 1)*(q + 4460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p = -73*p + 2*m - 19, 0 = 2*p - 2*m + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 61702354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1589 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 9. Suppose d + j*n = -3*d - 38, 5*d + 4*n = -55. Let c(i) = i**2 + 4*i - 9. What are the prime factors of c(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15170, 60631, 136398, 242471?\nAnswer: 378850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 9*u - 11. Suppose c + 3*z = -4*c - 22, 20 = -5*z. Let j(y) = -3*y**2 + 8*y + 10. Let d(g) = c*k(g) - 3*j(g). Determine d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660029?\nAnswer: 660029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + 0 + (12 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/19)\/((-302)\/(-22952)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1065908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.82991 nanograms to milligrams.\nAnswer: 0.00008582991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**5*d)\/d*d)\/d)\/(d**(-3\/5)*d))**(13\/6)*((d\/d**0*d)**29)**(-34) assuming d is positive.\nAnswer: d**(-29398\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -563618 > -563625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + f + f - 2)*(9 - 1 + 12)*(31 - 19 + 58) to q*f + c and give q.\nAnswer: 2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9.2, -2\/7, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18))\/(4*60\/8640).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 94. Suppose 3*p - p - m = 0. Suppose -2*o + 98 = -3*z, -o - 3*z + 20 = -p. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -1\/428, -4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187312?\nAnswer: 2, 23, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = 0, 0 = -220*h + 217*h - 3*v + 299478. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -9, -35?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.39522 millilitres to litres.\nAnswer: 0.09839522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -0*m + 4*m, -4*m = -4*i - 4. Let n = m - -3. Suppose 4*p + n*h = -6, -5*h + 0 - 10 = -p. Solve 0 = c - p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/3)\/((-32)\/(-24)))\/((-2106)\/104).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7099971 + -0.71. What is m rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*m + m. Suppose 3*s = -0*s - m, 3*o = 5*s + 70. Let t(u) = 3*u - 3. Let z be t(2). Solve z*y - o = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11615160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -2*l. Suppose -4*w + 87 = b - 17, -3*w = 4*b - 429. Let z be b\/60*(l + 7). Solve -3*q - z = -0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10291 + -6619. Let x = 14469 - g. Suppose -5*t = -k + x, t - 2169 = 2*t + 3*k. Round t to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -248992\/11 bigger than -22635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 - 163139\nAnswer: -163139.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*m - 10. Is 24\/(-1 - -2) + m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102684 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1312 + -1360 + -2 + 41\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -3*v, -2*v + 1 = 5*q + 3. Suppose v*t - 8 - 4 = 0. Suppose 4 = -2*u - p, -u + 3*p = t*u - 12. Solve 3*h + 3 + 0 = u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -6.\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -9 - 6, 0 = -5*x + s + 2. Let r(i) = i + 6. Let p be r(-11). Let b = p + 10. Put x, -4, b in descending order.\nAnswer: b, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 1808.\nAnswer: 27\/1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/8, -2\/3, 7426, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 607740282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9068 divided by 4.\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1338.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -22. Let q(n) = n**2 - n. Let c(b) = -5*b**2 + 13*b - 6. Let u(z) = -c(z) - 4*q(z). Give u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 12529.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*81\/18. Let q = -4 - -3.1. Let h = q - -1.7. What is the third smallest value in h, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 19. Let g be i(6). Let m = g - 33. Factor -m + 4*o**4 - 10*o**3 + o**4 + 10*o - 1.\nAnswer: 5*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 26*h**2 + 7*h + 169. What is t(-26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (83 - 88) + 226*(-6)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 18, b: 2}. What is prob of sequence ffff?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 25. Let u = 3.7 + f. Which is the nearest to 0.3? (a) -0.1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.10000032 + -2.1. What is j rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322441 (base 6) in base 2?\nAnswer: -110011110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -14*s**3\/3 + 70*s - 20. Let l(p) be the first derivative of g(p). Let o(i) = 2*i**2. Determine l(o(c)).\nAnswer: -56*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100631 + -12971?\nAnswer: -113602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 180883012.\nAnswer: -180883007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilnninionci. Give prob of picking 1 i, 1 n, and 1 c.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2670, 2645, 2620, 2595, 2570?\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 1 v when three letters picked without replacement from yvyvsbvyvggb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/43 - 46\/215. Are 213 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 7*r + 67. Determine z(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540175?\nAnswer: 5, 17, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6052533 is divided by 83?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -3*o, -m + 2*o + 4 - 11 = 0. Suppose -m*j + 0*j + 4*i = 3098, 0 = -3*j - 2*i - 3086. Is j\/(-20) + (-1)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -618 - -817. Suppose -3*s - w = -5*q - 2*s, 4*s = -5*q + 204. Let n be (0 - (-2)\/4)*10. Calculate the greatest common factor of n and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523220208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18784)\/7044*9\/(-1140)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38991\/2 or 2\/51?\nAnswer: 38991\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46096870.\nAnswer: 2, 5, 4609687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 943936 and 11662.\nAnswer: 16046912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(-1\/8)*c\/c**9*c*c*c\/(c**12\/c*c) assuming c is positive.\nAnswer: c**(-545\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/6)\/((-3)\/(-4)))\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 901320 and 386280?\nAnswer: 2703960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 + 8*q + 8. Let s(n) = 2*n**2 - 3*n - 3. Suppose -m = -4*h - 12, 3*m - 5*h = -6*h + 23. Suppose -u - m = -0*u. Give u*s(j) - 3*k(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(2 + (-9 - 0)). Let o(n) = 2*n**3 + 13*n**2. Let v(y) = -y**3 - 7*y**2. Give r*v(p) - 4*o(p).\nAnswer: -p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o + 4*v + 2, o + 3*v = 12. Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23174 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a391c0 (base 13) to base 4.\nAnswer: -200332232100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 574130*s**2 - 242756960*s + 25708417440.\nAnswer: -5*(s - 114402)*(s - 212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5667, 4896, 4125, 3354, 2583, 1812?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 439 in 2\/5, -67, 1\/4, -0.2, -2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor 40*r**2 + 596*r - 8736.\nAnswer: 4*(r + 24)*(10*r - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 535 in -0.033, -1.1, 2\/221?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 1.2. Let f = s - -4. Let h = -328819 - -328829. Which is the fourth smallest value? (a) -0.3 (b) 1 (c) h (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281641387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4. Suppose 0 = 4*q - 6*q - 6. Let f(w) be the second derivative of w**3\/6 - 3*w**2\/2 + w + 2. Determine q*r(t) + 4*f(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(114) - sqrt(114))*-6)\/(sqrt(384)*2).\nAnswer: 15*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-392)\/(-6) - 2\/6. Suppose 0 = r + w, 15*r = 11*r - 3*w + 5. Let a be r - (-261)\/(-54) - (-154)\/12. Calculate the highest common divisor of a and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162163?\nAnswer: 17, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let v(t) = -42*t**2. Calculate v(z(g)).\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62748.852 - -62385. Let b = 363 + y. Let u = -1 - b. What is u rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -127. Let c be (6\/8)\/((-4)\/(-400)). Let m = r + c. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = b. Suppose 0 = b*l + 189 - 459. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52840 times 0.04\nAnswer: 2113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 66 = -f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -95 (b) 8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199037*u - 193941*u**3 - 199037*u.\nAnswer: -193941*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.04, -0.5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3798626?\nAnswer: 2, 13, 193, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14296*w = 14311*w + 405 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 153692.\nAnswer: 2305380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Suppose 0 = 5*i - 6*i + s. Suppose -3*a + 21 + i = j, 3 = -3*a. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167118191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 22 = -2*t + 3*x, 0 = 4*t - 5*x - 105. Let s be (-1)\/(-5) - (-45)\/t. Find the third derivative of -9*o**2 - 9*o**2 - 2*o**6 + 12*o**s wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 4*a - 2. Let m be i(3). Suppose -m = -3*r + 2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -7, -9, -9?\n\"Answer: p**2 - 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 27, 55, 89?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -109. Calculate the least common multiple of o and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -353\/3 + 109. Let q = n - -448\/51. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + (-11)\/2. Suppose 2*l - 12 = -v + 4*v, -5*v - 10 = 0. Suppose 0 = 2*m + l*t - 13, -9 = -5*t + 2*t. Sort 1\/5, m, s in decreasing order.\nAnswer: m, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*8\/(-10). Let l = 9\/10 + -3\/2. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*v - 3*v + 3*h, -3*h = -v - 3. Find the second derivative of -2583 - v*u**3 + 2583 + 48*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/5)*r*r*r**(1\/4))\/(r\/(r\/((r\/r**1)\/r*r)*r))**41)**(1\/10) assuming r is positive.\nAnswer: r**(881\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041190?\nAnswer: 2, 5, 104119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5024, 5022, 5020, 5018, 5016?\nAnswer: 5014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2303 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 62*f + 58*f = -176, 1014*o - 39 = 1013*o - f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1007 + -1247.6. Let n = 341.5 + w. What is n rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000284934265 rounded to seven dps?\nAnswer: 0.0002849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (11 + -25 + 11)) + (-2 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 12636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7066042342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3004848088.\nAnswer: 2, 11, 113, 449, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -1\/180*v**6 - 7\/120*v**5 - v**2 + 0*v + 0 - 5\/24*v**4 - 1\/3*v**3. Let m(t) be the first derivative of y(t). What is m(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 65, 20, -51, -148, -271?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*y - 4*y**2 + 230*y + 192*y + 0*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:49 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 39 = -17*i - 3*d, 0 = 3*i + 2*i + 2*d - 6*d - 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 29 + 0*q + q + 2*q.\nAnswer: 4*q + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 255024 divided by -7728\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -104 + 212 - q - 218*q**2 + q - 105 as r*q + a*q**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3*l*r**2 + 19*d**3*r**2 - 783*d**3 - 23202824*d**2*l*r**2 - d*r**2 - d - 4 wrt l?\nAnswer: d**3*r**2 - 23202824*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.02636 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + g**2 - 2*g - 1. Let u(l) = l**3 + l**2 - l. Let z(m) = -j(m) + 4*u(m). Suppose 11*r - 8*r = 6. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = n, -2*n + 3 = -5*n + 4*o. Let w be 0\/(-1) + -1 + 3. Solve -n*r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-14\/3)*p*p*p**42)\/((p**(13\/5)*p)\/p*p*p**(2\/11)\/p))**(-2\/69) assuming p is positive.\nAnswer: p**(-12392\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.61 - -0.81. Let a = 3.2 - u. Let w = a + -20.00012. Round w to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p**3 - p**2 + 4*p - 4*p + 118 + 15*p**3 to the form o*p + t*p**3 + g*p**2 + r and give r.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 16*q**3 - 12*q**3)*((q + 2*q - 4*q)*(0*q - 4*q + 2*q) + q**2 + 3 - 3 - 2*q**2 + 2*q**2 + 3*q**2).\nAnswer: -138*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140177*w + 70070*w + 70116*w - 5*w**2 + 3*w**2.\nAnswer: -2*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 13 + 2 + 1 = -7*j - 5*r, 0 = -5*j - 4*r + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 68, -2, -7, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243582231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -2 + (-3 - -13). Let s(z) = 6 + 2 - 9 + 10 + d*z. Let t be s(5). Calculate the highest common divisor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 156975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13a4 - -6?\nAnswer: -139c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114809617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*i = 14, 7*g - 3*i = 2*g + 35. Let w = g + -2. Suppose -2*j = 3*j - w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, -740.904 in ascending order.\nAnswer: -740.904, -2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2546 + -1366. What is the highest common factor of n and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/45 + (-2)\/5. Let v be o - (0 + -1)*15. Solve 0*c - 4*n = -4*c - 16, -4*n + v = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -442, -11, -1 in decreasing order.\nAnswer: -1, -2, -11, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54501 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + (sqrt(425) + sqrt(425) + 2*(sqrt(425) + 0 + sqrt(425)))*6 + 1)*6)**2.\nAnswer: -51840*sqrt(17) + 39657888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - 5*z - 24. Let j be s(-4). Let f = 78 - j. Solve 5*w + 11 = 2*t, -3*t + 3*w = 7*w + f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17372827565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 + 1 - 2*j**2 - 2*j**2 + 2*j**2 to the form d*j**2 + y + l*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1099.56477061 - -1.\nAnswer: -1098.56477061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 261 divided by -2875\nAnswer: -261\/2875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(-3)*2\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*c**2 - 7*c - 11739.\nAnswer: -30*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/66)\/((-18)\/(-1080)*-10)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22\/221, 0.5, 1\/5, -4, 1, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 658*z + 8216 = 0. Calculate z.\nAnswer: 13, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 135 = -27*v. Solve v*d - k - 2 + 4 = 0, 4*d = 4*k - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -447933943*z**2 - 2*z + 903143667 with respect to z.\nAnswer: -895867886*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 714049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 131*s + 180. Let c(x) = 44*x + 60. Let y(t) = -3*a(t) + 8*c(t). What is the units digit of y(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20a2983 (base 11) to base 6.\nAnswer: 211054542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 + 0)) + (14 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c45d784 + -5?\nAnswer: -8c45d789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/7 (b) 5\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -410*a**2. Let f(q) = 3989*q**2. Calculate f(k(w)).\nAnswer: 670550900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3870 - 3865. Solve -k + v*u + 25 = 0, -3*k + 8 = k + 3*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 0. Let d = v - 4. Let f(s) = 2*s**3 - s**2 - 2. What is the remainder when 28 is divided by f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -838 - -1953. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*-2)\/sqrt(8).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166722030?\nAnswer: 2, 3, 5, 31, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 534 in 2\/173, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose 2*d + 15 - 1 = 3*p, -p = 2*d + 6. What is the remainder when q is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (-3 - -6 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*p = -10 - 3, 0 = -3*t + p + 5. Let n(l) = 2 + 1 - 8*l**t - 4. Let y(x) = x + 9. Let f be y(-8). What is n(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 422 - 5?\nAnswer: 41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -292 - 612. Suppose 2*f - 5*v = 610, 2*v = 3*f - 0*f - b. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -1*sqrt(76) + 2)*3)**2.\nAnswer: -5400*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4)\/((120\/(-9))\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.4 + 17. Let u = 0.98 - m. Let h = 4.62 + u. Is h > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + p + 24, -5*v + 0*v - 2*p - 33 = 0. Let o = -5 + 4.7. Let z = o + 0.1. Which is the biggest value? (a) 5 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(405) - (sqrt(405) + 1)) + sqrt(405))*-4*2)**2 + 5.\nAnswer: 2304*sqrt(5) + 26181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:05 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -21.6. Let h = t + -2.9. Let f = h + 0.5. Which is the second biggest value? (a) -1 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:11 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 134406 times -2\nAnswer: -268812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30827 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 3, b: 1, k: 4, i: 4, a: 1}. Give prob of sequence ck.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 172*m**3 + 3 + 172*m**3 - 152*m**4 - 4*m to the form q*m**4 + y*m + s*m**2 + z*m**3 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201200 + 12220?\nAnswer: -1111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 741524 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000844186587 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m - 8. Suppose 7*o = -3*o + 50. Let y(q) be the third derivative of 0*q - 3\/8*q**4 + 0 - q**2 + 5\/6*q**3. Determine o*p(x) + 8*y(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 2*f**2 + 4*f**2 - 5*f)*(-2*f + 0*f + 3*f) to the form i + u*f**3 + x*f + d*f**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**2 + 9*k + 1. Let x(z) = 15*z**2 - 6*z. Let n(a) = -3*x(a) - 2*y(a). Let h(s) = -s. Give n(h(g)).\nAnswer: -15*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.582234 to two dps.\nAnswer: -8.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -3, -2\/555, -2, -1\/9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20170813, 40341755, 60512709, 80683681, 100854677, 121025703, 141196765, 161367869?\nAnswer: 181539021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.668742 to 2 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*m + 9 + 11 - 20.\nAnswer: -1201*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from liqixqhxqqqqhi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {b: 17, o: 2}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/29)*q*q*q*(q\/(q\/q**(-3\/5)))\/q*q*(q\/q**1)**38 assuming q is positive.\nAnswer: q**(503\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/20022534 and 21\/11.\nAnswer: 220247874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*y + 2*f + 13, -4*f = y + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190190*x + 1552*x**3 + 190190*x)*((-2 + 6 - 2)*(-2 + 1 - 1) - 4 - 1 + 3).\nAnswer: -9312*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 - 3*p + 2. Let f be m(-3). Let u = 154\/5 - 31. Which is the third biggest value? (a) 3 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101074 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 8, o: 1, m: 1, h: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31427 (base 9) to base 14\nAnswer: 77cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 277? (a) -0.2 (b) 2 (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*(24\/(-54))\/((-4)\/6). Suppose 2*l - 7*l - 20 = 0, -3*l = -p + r. Let m = 0.3 + -0.3. What is the biggest value in m, -7, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-15)\/b)))\/b**(7\/4))**(-33) assuming b is positive.\nAnswer: b**(2343\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 7. Let c(g) = -g**3 - 5*g**2 + 7*g + 2. Let k be c(-6). Let p be s(k). Sort 5, p, -8 in ascending order.\nAnswer: -8, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*487572\nAnswer: 4875720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1106*g**3\/3 - 2177*g**2\/2 + 32*g - 45. What is the derivative of l(z) wrt z?\nAnswer: -2212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*x**3 + 1881*x**2 - 101*x**3 - 3 - 2288*x**2 + 0 in the form u*x + v*x**2 + n*x**3 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 406022 - -1?\nAnswer: 406023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-40)*-2)\/((-6)\/(-6)*-3).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {n: 1, q: 3, r: 1, w: 5, x: 1, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 696*k + 21950. Give y(-35).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*n + 6 + (2 - 1 - 2)*(-1 + 1 + n) + (0 + 1 - 3)*(-1 + 1 - n) + 1 - 1 + 2*n - 4*n - 3*n - 10*n)*(2 - 1 - 4).\nAnswer: 51*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 12958050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -0.2, 3\/7, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 427+-14740\nAnswer: -14313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -193 in 5\/3, -1\/2, -7, -2\/25, -2, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x. Let k(q) = 2*q - 19. Let p be k(9). Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19801496 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.02749 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:00 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 758 + 2056. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -652, 4, 0, -8, 149 in ascending order.\nAnswer: -652, -8, 0, 4, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/14 + 706\/2471?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -15*d**3 + 335*d**2 - 425*d + 105 = 0.\nAnswer: 1\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - -11664?\nAnswer: 12030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 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: Collect the terms in 78*h**3 + 98081491 - 98081491 - 82*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1838\/3 + 0)\/(20\/30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/26, -2\/11, -7951?\nAnswer: -7951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 4*u**2 - 3*u. Let b be f(3). Suppose -41*x = -145 + 22. Solve -i - x*i = b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4644\/(-44) + 18\/33. Let r = q - -111. Solve 18 = r*n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 4 + 0)*-3. Let v(u) = -u**3 - 4*u**2 - 3*u + 7. Let w be v(n). Solve -2*y + 14 = 5*k, -y - w + 1 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 380\/(-171) + (-4)\/(-18). Let u be -3 + (-355)\/(-75) + l\/5. What is the nearest to 0.2 in u, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9749 is divided by 100.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271425.\nAnswer: 5, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 14. What is the tens digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.115 and 0.11?\nAnswer: 0.01265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/9 + 3938*b**4\/9 - 217780*b**3 + 21207140*b**2\/9 - 59505578*b\/9 + 13418174\/3 = 0.\nAnswer: 1, 3, 7, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(9)\/sqrt(3) + (sqrt(243)*-1)**2).\nAnswer: -245 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvxxzi. Give prob of sequence rvx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6174363 (base 8) to base 11\nAnswer: -a18664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 502, 1260, 2028, 2812, 3618, 4452?\n\"Answer: y**3 - y**2 + 754*y - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54740 and 12420?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b + 4. What is the first derivative of -2 + 2 + 5 - b*c + 0*c wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/(-28) - -3) + -1. Which is the closest to -1\/4? (a) -0.4 (b) -1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(384) - sqrt(384))*-2 - 1*(1*sqrt(384) - sqrt(384)))\/(3*sqrt(16)\/sqrt(2) - (sqrt(48)\/sqrt(3))\/sqrt(2)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 6 + 1)*(-z - 3*z - 3*z)*(27*z**2 - 10*z**2 + 15*z**2)*(-2 + 2 - 2*z).\nAnswer: -448*z**5 + 2240*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 + -12.6.\nAnswer: -411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103.8 - 123. Let i = 19 + r. What is the third smallest value in i, 3, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/7)*u*u\/u**6)\/(u\/(u*u**9)*u*u\/u**(4\/11)) assuming u is positive.\nAnswer: u**(270\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1429095 * -0.01.\nAnswer: 14290.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 5, e: 2, j: 1}. What is prob of sequence oe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b**2 - 7*b**3 + 25*b**2 + 29*b**2 - 11*b**2.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20558, 20400, 20214, 19988, 19710, 19368?\nAnswer: 18950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 1683?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 + 979*n**2\/4 + 196365*n\/2 - 276187743.\nAnswer: -(n - 1482)**2*(n + 1006)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/21 + (-5)\/((-45)\/186). Suppose -2*q + 18 = f + f, -5*f = -3*q - j. What is the first derivative of -23 - 19*d - f*d - 10 + 0 wrt d?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 3, a: 3}. Give prob of sequence aa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -4)\/(2 + -8). Let x = -32660.8 + 32661. What is the nearest to 0 in 3, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide (1\/(1\/8))\/((7800\/388089)\/100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/59)\/((h*h**(7\/5))\/h)*(h*h\/(h\/((h*h*((h*(h\/h**41)\/h)\/h)\/h)\/h)))\/h*((h\/(h*h**26))\/h)\/h*h assuming h is positive.\nAnswer: h**(-20483\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1. Let d(j) = 11 - 5*j - 34*j + 34*j. Determine -d(o) + 6*g(o).\nAnswer: 5*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-3 - 4)) + -28 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -0.4, -5, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11337727277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4 - 8*z + 14*z - 15*z - 11*z**2 - 4. Let q(g) = -5*g**2 - 4*g - 4. Calculate -13*q(y) + 6*x(y).\nAnswer: -y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5853153153 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -131742507?\nAnswer: 131742502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 5, -2, -94, 7, 2 in descending order.\nAnswer: 7, 5, 2, -1, -2, -11, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + 24 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919735 is divided by 577.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, 1 f, and 1 s when four letters picked without replacement from {s: 1, e: 1, g: 6, o: 2, f: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**3 + 2*g**4 + 22*g**3 + 16*g**2 + 108*g**3 - 17*g**2 to d*g**2 + z*g + a + o*g**3 + x*g**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, n: 4}. What is prob of picking 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**3 + 2*u**2 - 4*u - 4. Let h(t) = t**2 - 41*t + 292. Let f be h(32). Let l(y) = 7*y**3 + y**2 - 5*y - 5. What is f*l(c) - 5*s(c)?\nAnswer: -2*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/919137569 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5274306876?\nAnswer: 2, 3, 439525573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -159. Let q(d) = 15*d - 19080. Let p(f) = q(f) - 120*u(f). Let n(w) = 4*w + 3. Let z(o) = 1. Let t(j) = -2*n(j) + 6*z(j). Determine t(p(l)).\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c299b (base 16) in base 6?\nAnswer: -25030111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 55*d + 4 = -51*d, -10 = 5*l + d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.63818ml?\nAnswer: 0.06763818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (0 + 3)*-1. Let f(x) = 1 - u + 3*x. Let t(s) = 75609*s - 75609*s - 8*s**2. Calculate f(t(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6449429 divided by -5.\nAnswer: 6449429\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4067491*f*j*r**3 + 18*f*r**2 - 1177*f + 7*j*r**3 + 2*j*r**2 - 2*r**2 - 43 wrt r?\nAnswer: 24404946*f*j + 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 11*l + 41. Let i be p(4). Solve a = 5*v + i, v - 7 + 0 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -13221032?\nAnswer: 13221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t + i + 9 + 13 = -7, -2*t - 5*i = -7*t + 65 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 14) to base 9.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b3149db - -1?\nAnswer: -b3149da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 13. Let r be y(8). Solve -r*m + 7*m = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:51 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 31 = 25. Let x = d + -14. Solve x = -3*t - t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*y + 4*m, 2*y + 530*m - 533*m = -19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(68) + sqrt(68) + 5*-2*sqrt(68) + sqrt(68) + sqrt(68) + -2)**2.\nAnswer: -9828 - 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + n - 6, 0 = d - 14*n - 269 + 140 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114211 - -5?\nAnswer: -114203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:06 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*v**2 - 6*v**3 + 832*v**2.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*r**2 + 8*r**2 - 7*r**2 + 1 - 13*r**2 as g + j*r + s*r**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7)\/m*m*m)\/(m*m\/m**4)*(m\/(m\/(m*m\/m**(-1))))**34*((m**(1\/7)\/m)\/(m\/m**(1\/11)))\/(m**(2\/5))**16 assuming m is positive.\nAnswer: m**(34971\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16150*s + 664*s**3 - 16150*s + 695*s**3.\nAnswer: 1359*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6171 and 1784490?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*r + 8. Suppose 7*b = 2*b - 20. Suppose -17*j - 39 + 225 = 14*j. Put j, r, -5, b in descending order.\nAnswer: j, r, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -761*f**4\/24 - 14*f**3 - 14*f**2 + 6. Is z(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/(-63))*(-26)\/((-182)\/14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -223*w**6\/120 - w**5\/10 - 7*w**4\/24 - 2*w**3\/3 - 9*w**2. Let l be a(-4). What is l rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 1, r: 1, d: 1, v: 2, z: 1}. Give prob of picking 1 t, 2 v, and 1 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1500?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25 + 22\/2 + 17. What is the closest to -1\/3 in -1\/2, -0.16, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -18\/5 (b) 2\/25 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-14)\/(-12) - (-187)\/(-2244))\/((-135)\/(-108))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -26 + 1\/6*j**3 + 0*j - 1\/10*j**5 + 1\/8*j**4 - 1\/4*j**2. Suppose c(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 19, 19840, -4.\nAnswer: -4, 1, 2, 19, 19840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4370 and 4877585?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7)*2*2*-1 + sqrt(42)\/sqrt(54) + -1))**2.\nAnswer: 550*sqrt(7)\/3 + 21400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 98 - 100 = 0. Let s = 46.033 - 0.033. Let w = 45.7 - s. What is the nearest to r in 0, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13272*n**6 + 131309*n**2.\nAnswer: 1592640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 50*m - 3938 = 247*m + 133*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*6 - 1. Suppose 0 = 4*a + m - 2*m - 1273, 4*a = x*m + 1283. Suppose -a = d + 283. What is d rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5196 + -5195.7. Let t be (3\/(-14))\/((-3)\/4). Which is the nearest to t? (a) 2 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 6, k: 3, u: 1}. What is prob of picking 2 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 x when three letters picked without replacement from yyaayxyxyyyyy?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*m**6 - 175*m**5 + 1368*m**2 - 11*m.\nAnswer: 1680*m**3 - 10500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 663856945?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x = -44701 - 28499. List the prime factors of x.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -11*c + 15*c. Suppose -102 = -c*f + 24. Let o(u) = 8*u - 12. What is the remainder when o(8) is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s = 36*s - 26*t - 58, s - 2*t = -4 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 12*t + 3. Let v be n(12). Let x be (-108)\/(-8)*(-26)\/3. What is the units digit of x\/v*1\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7382 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 11*u - 60. Suppose u*i - 3*i = -4*c + 11, 3*i - c = 31. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81486323.\nAnswer: 73, 131, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*r + 119*r = 0. Suppose -u = 5*s + 3*u - 19, r = -3*u + 3. Solve 5*p - 4*c = 26, -s*p = -5*p - 5*c - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5252.442 months to years.\nAnswer: 437.7035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18.52, 2\/113, 3?\nAnswer: -18.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**4 - 3*h + 3*h)*(20 - 11 - 2) in the form v*h**2 + y*h**4 + b + k*h**3 + g*h and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -39. Solve -n + 2 + r = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -29. Which is the biggest value? (a) -2 (b) t (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150924.\nAnswer: 2, 3, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116422.\nAnswer: 2, 58211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 450 + -450. Which is the closest to -0.36? (a) -0.4 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2021, -4038, -6055, -8072, -10089?\nAnswer: -12106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*d - 12, 2 = -4*d + 5*a - 10. Suppose 4*n = -20, x = 5*x + d*n - 174. Calculate the highest common factor of 69 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, 1, -0.29, -11\/4, 2?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3304 - -5324. Calculate the greatest common factor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97549, 97548, 97547, 97546, 97545?\nAnswer: 97544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 1 - 1)*(10*i**3 + 88*i - 88*i) + (2*i - i + i)*(-2*i**3 + 0*i**3 + i**3).\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - (5 + -1*sqrt(720) - sqrt(720))**2.\nAnswer: -2905 + 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.5. Let l be -2 + 5 + (4 - 3). Let q be (20\/8)\/(l\/(-8)) + 2. Which is the fourth biggest value? (a) 6 (b) z (c) q (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5647 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34302 + 32311?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmmmgmm. What is prob of sequence mgmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -31*w**3 - 126*w**2 + 780*w - 1180. Let l(u) = 340*u**3 + 1385*u**2 - 8580*u + 12930. Let f(r) = -6*l(r) - 65*o(r). Factor f(z).\nAnswer: -5*(z - 2)**2*(5*z + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*d - 220 = -1082, 3*r - 5*d = 532. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107\/112 - 13\/16. Is -966 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 407 = -4*o, -2*o - 2*o = 4*t + 1588. Is t\/(-35) + 2\/(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -33*v + 102. Let s be a(3). Let i be (0 - (-1)\/(-1))*0. Determine x, given that 0 + 2\/9*x**4 + 0*x + 0*x**s + i*x**2 - 2\/9*x**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*q - 196*q = -245. Suppose -5*o = 50 - q. Let i(y) = 2*y**2 - 6. Give i(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.58018 and -1.8.\nAnswer: -8.38018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59582.25 millilitres to litres.\nAnswer: 59.58225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-98))\/((-9)\/(-21))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -8 (c) 26702\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 882104, 1764073, 2646040, 3528005?\n\"Answer: -x**2 + 881972*x + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 36, -59, -244, -549, -1004, -1639?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 348002764 divided by -348002764\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136278?\nAnswer: 2, 3, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*v**3*w**4 + 4*v**3*w - 4*v*w**4 - 3*w wrt w?\nAnswer: -348*v**3*w**2 - 48*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}