diff --git "a/data/dm_maths/full_data/254_11255.jsonl" "b/data/dm_maths/full_data/254_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/254_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2560*q - 1\/3*q**5 + 37\/3*q**4 + 3300 - 395\/3*q**3 + 419\/3*q**2 = 0. Calculate q.\nAnswer: -2, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1998 + -1987. Which is smaller: 71 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = 3*n, n + 4*n = 5*s + 25. Let b be n - (-2 + (9 - 3)). Let z(m) = -34*m. What is the units digit of z(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -248 divided by 8\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15741691?\nAnswer: 7, 113, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Suppose 2*s - 8 = -2*s - g, 0 = s - 3*g - 2. Let u(h) = -23*h**s - 16*h**2 + 32*h**2. What is j(u(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/180)\/(420\/400)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -3)*1*4. Suppose 11*t - 12*t = -h. Sort t, 2, 4 in decreasing order.\nAnswer: t, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, 8347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*b**2 - 3554*b + 3551*b + 7*b**2 + 33 + 31*b**2)*(3*b**2 - 5*b**2 + 3*b**2) in the form q*b**3 + d*b + o*b**4 + a + k*b**2 and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312381673.\nAnswer: 73, 4279201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Let r(b) = -b**2 - 20*b. Let d(f) = -6*a(f) - r(f). What is x in d(x) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0*z**5 + 0*z**6 - 1\/6*z**3 + 0*z**4 + 0*z + 0 - 1\/840*z**7 + 6*z**2. Let y(t) be the first derivative of b(t). Factor y(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 - 18 = -4*w, 0 = -4*w + 4*r + 28. Let l be ((w + -5)*-1)\/(2\/12). Is (-199)\/(l\/(-21) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/(-445)*3*-1*70\/(-147)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + 12. Factor 13*d**5 + d**2 + 8*d**g - 57*d**4 - 6*d - 4*d**2 + 45*d**3.\nAnswer: 3*d*(d - 1)**3*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from ccxcxxxxw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5\/2)\/((-378)\/(-168)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124635 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 5, u: 1, r: 2, o: 2}. What is prob of sequence uo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 27 = -5*v - 9, 3*o = -2*v - 27 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.5, -4, -0.2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.65 and -0.9.\nAnswer: 1.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4 + 2) - 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-10)\/160*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 1074*a - 1074*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11198349 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -557*o + 561*o + 212, 0 = 6*o + 5*x + 315 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/16)\/5*6)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -47 (c) 0.1 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22\/39 + 59\/312. Put -1\/7, q, -2\/17 in decreasing order.\nAnswer: -2\/17, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-8 + 2 - -2). Let u(z) = -z**3 + 5*z**2 - 4*z. Let f be u(a). Let o be 16*1 + -2 + f. Solve 5*t + o = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0.2 (b) 443 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/96 + 7*y**3\/48 + 3*y**2\/8 - 427*y. Solve r(b) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 49.5. Let g = b - 2.3. Sort -0.5, g, -2 in increasing order.\nAnswer: -2, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9162*r + 9155*r + 1035979 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 1395878*v**3 - 8375340*v**2.\nAnswer: 2*v**2*(v - 697945)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*((-210)\/(-12))\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 5*p**4\/24 + 125*p**3\/24 + 15*p**2\/2 + 4*p + 1. Determine r, given that w(r) = 0.\nAnswer: -12, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5063, 5141, 5273, 5459?\n\"Answer: 27*k**2 - 3*k + 5039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 27 + 2 + 0. Let p = 26 - x. Let m be (17 + -16)*p\/(-6). Which is the nearest to 36? (a) 2\/7 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2106 + -2116. Put -1, -3, u, 4 in descending order.\nAnswer: 4, -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13182963*a**2 + 3208*a - 318.\nAnswer: 26365926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and -0.069.\nAnswer: -2.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25104231149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*c + 6010 + 815 = 988*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 43. Let p be j(10). Put -2\/3, p, 47 in decreasing order.\nAnswer: 47, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/(704\/3960).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/(-11))\/((416\/1040)\/(129\/120 + -1)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 7, 6, 11, 28?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13669 - -169.\nAnswer: -13500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 23*i - 25. Let z be g(-21). Suppose 18 = 7*r - z. Solve 3*u + r*a = -25, 0 = u + u + 3*a + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 2. Suppose 49 = 5*a - 2*b + 3, 4*a - 42 = -b. Suppose -w - 5*x = -8, x - a = w - 0. Give c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 6. Suppose -2*k + 54 = -4*v, 2*k + 5*v + 39 = 3*k. Let y = a + k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 20*n + 69. Let z be q(-16). What is the second derivative of 180*f**5 - 99*f**z - 2*f - 3 - 94*f**5 wrt f?\nAnswer: -260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + k + 33. Suppose 58 = 2*n + k*d, 0*n - 3*d = 3*n - 81. Suppose n*q - 27*q = -12. Solve 7 = -5*g - q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-12))\/((-1)\/3). Suppose 3*t + k*u - 1 = 0, 0*t + u - 4 = -2*t. Solve -t*z = -2*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.758 - -0.172. Let v = -3.07 - g. What is the closest to 3\/4 in 1, 8, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -3.3. Round x to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -116576.\nAnswer: -116571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 184964.2um?\nAnswer: 0.1849642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*c - 127*c**3 - 56*c**3 + 2 + 12*c**3 - 63*c - 2*c**2 as f*c + r*c**2 + s*c**3 + a and give s.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4809 > -4809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:48 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -539*k**2 + 181*k**2 + 170*k**2 + 172*k**2. Let u(b) = b**2. What is f(u(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -7*q**4\/3 - 23*q**3\/6 - 7*q**2 - 2*q. What is the remainder when g(-5) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201 (base 3) in base 7?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 19*m**2 + 71*m + 21. Let w be j(-9). Let o = w - 894. Calculate the remainder when 1185 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzuzuuuuuuu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.17 - -2.17. Let k = j + 40.6. Which is the third biggest value? (a) k (b) 2\/17 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19192*o*r**3 - 5*o*r**2 + 1542*o*r + 2543*r**3 + 380*r**2 + 2*r + 2 wrt r?\nAnswer: -115152*o + 15258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 314913627 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-13)\/((-117)\/(-12))*-225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29472\/(-55260) - (0 - 71\/105)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8)\/c**(-7\/5) assuming c is positive.\nAnswer: c**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 5*r + 0*r to g + b*r and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 12419 + (-6)\/12*-44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3773202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42658 and 57616?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 672, 673, 674, 675, 676, 677?\n\"Answer: r + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41212.41 meters in nanometers?\nAnswer: 41212410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = -2*u, -2*u + u - 2*v = 4. Let z be (1 - 1) + u\/(-10). Suppose -181*n + 1 = -180*n + 1. Sort 1\/12, -4, z, n in increasing order.\nAnswer: -4, n, 1\/12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvsjrcv. What is prob of sequence jvcv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 454 - 193 - 224)*(6*y**2 + 6*y**4 - 6*y**2).\nAnswer: -4242*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 669275?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228472467 + 0.1.\nAnswer: 228472467.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - -5*sqrt(304) - sqrt(304)*3.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-15))\/(2\/20). Let f = 16 + -17. Suppose 3*i + 6 = 2*j - 0*i, -5*i - 12 = -4*j. Which is the closest to f? (a) 4 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33778140 and 3355?\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2830314 take away -0.8932054?\nAnswer: -2830313.1067946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y - 3*y - 2 + 1. Determine g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 - 75*r + 429. Let o be c(6). Suppose -4*f + 2 = 3*g - 55, 2*g + 2 = 0. What is the tens digit of (-7)\/o*2*f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215332 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (-9)\/(-12)*4. Suppose -15 + 17 + o**2 - s*o**2 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 7:54 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/6 - h**2\/2 - h. Suppose 3*k - 4*w - 20 = 7*k, 3*k = w + 1. Give m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-84)\/283171)*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2 - 2 + (25 - 81 + 18)*(2*d**3 + 7*d**3 - 3*d**3) - 2*d**3 - d**3 + d**3 + (4 + 2 - 5)*(-3*d**3 + 4*d**3 - 2*d**3).\nAnswer: -233*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8795?\nAnswer: 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1695*w = 1696*w, 8 = w + 3*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = g - 236, -s + g + 48 = -4. Let h be 51910\/12 - (-8)\/s. Suppose 2*d = 4*m + h, -2*m + m - 4311 = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 34) + (19 - (-38 - -53))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x**2 + 9*x - 10. Determine w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(((-3)\/3)\/(-1)). Let z be 3\/(q - (-2 - -2)). Let k(i) = i**3 - 4*i**2 + 2*i + 3. Let c be k(z). Solve -4*l - 16 = c, 7*m - 3*m - 20 = 5*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 23*b + 26. Let w be o(22). Suppose 4121 = 3*k + w*s - 9*s, -3*s + 1355 = k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 1297*l**3 + 10*l + 59. Let r(p) = p**2. What is b(r(j))?\nAnswer: 7782*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 583, 346171 in descending order.\nAnswer: 346171, 583, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*b**2 + 2 - 43*b**2 + 3*b**4 + 0*b**4 - b to the form i*b + d + f*b**4 + s*b**2 + q*b**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, 4, 0.4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k - 3. Let j be o(7). Let u be ((-14)\/4 + 3)*j. Solve 4*d = -2*m - m - 13, -u = 5*d + m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 50*y**3\/9 + 116*y**2\/9 - 8368*y\/9 - 896\/3 = 0.\nAnswer: -14, -8\/25, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) + 3 + (-246)\/(-18). Solve 5*j = -o + 6 + d, 2*o - 19 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 0.55. Let o = x + -3.6. Which is the second smallest value? (a) -5 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.56034 litres in millilitres?\nAnswer: 5560.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 7*g**2 - 5*g + 2. Let j be a(-5). Let y(b) = b**2 - j + 102. Let c(w) = w. What is y(c(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -158 (c) -5 (d) -0.131 (e) 47 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 519198, 2077722, 4675260, 8311812, 12987378?\n\"Answer: 519507*j**2 + 3*j - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.38, 0, -0.4 in decreasing order.\nAnswer: 0, -0.4, -5.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xssv when four letters picked without replacement from xxssxxxvvv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*v**2)*(v**2 - 4*v**2 + v**2) + 137*v**4 + 158*v**4 - 338*v**4 to x*v + c*v**3 + y*v**2 + o + m*v**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-20)\/(-8)*7. Let w = -2054 + 12359\/6. Let m = k - w. What is the common denominator of 11\/8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 40) + 20 - 32.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 18\/(-16))*(-4)\/(-6). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.33 - -201.33. Let k = -197.9999952 + m. What is k rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*j - 54751 = 826*j - 12571 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let g = 0 + -1. Let y = 0.5 + g. Which is the closest to -0.1? (a) q (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.53439 * -0.3.\nAnswer: 0.160317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*z - 63*z - 62*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 6*m**3 - 120*m**2 - 2*m - 59. Let a be c(7). Factor 3\/2*b**2 + 24 + a*b.\nAnswer: 3*(b + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y = -167*y + 449 - 89 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.04. Let n = -1.3 - q. Let i = 0.9 + n. What is the nearest to -1 in -3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 15. Suppose -r + 3*a = 8*a - 37, -4*r + 58 = 2*a. Let g be u(r). Let k be (-2 + 4)*g\/(-6) + -6. Is -3 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.8. Let v = 0.53 - 0.03. Put p, 1\/3, v in ascending order.\nAnswer: p, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 148.\nAnswer: 5\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyroykoorkyy. Give prob of picking 1 k and 3 y.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2151 or -1?\nAnswer: -1\/2151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2415)\/315)\/((-23)\/21)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = -171*l + 3100 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9090449\/166 + -54762. Find the common denominator of (8\/(-16)*6 - 8)*(-5)\/(-2) and i.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:17 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4940, 4996, 5048, 5096, 5140, 5180, 5216?\nAnswer: 5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) - ((-284)\/10 + 1). Suppose -2*s + c = t, -s + 53 = 2*s - t. Solve -j = 3*j - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1541 + -1590 + (49 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 60520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:19 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 8*i**2 - 8*i + 11. Let n be d(-9). Let h(z) = 2*z - 8. Let t be h(6). Solve -n*u + t = 2*q - 6, -4*u = -3*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185660583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from kxoxikxxxxxxxi?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*q - 4*q - 7 + 0*q to r + x*q and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400002 + -122431?\nAnswer: -1022433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*y - 19901 + 357 = -101*y for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088484127?\nAnswer: 1088484127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/6 - 25*b**4\/24 - 25*b**2. Find the second derivative of k(m) wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*n**2 - 5 - 4 + 9 in the form w*n + p*n**2 + f and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 36*q**2 + 234*q + 5121. Is 86 a factor of g(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -127. Put t, 0.06, 1\/8, 4 in descending order.\nAnswer: 4, t, 1\/8, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + 18\/(-45). Suppose 4*j - 4*w - 48 = d, -4*w - 4 = -3*j - 9*w. Let r = j + 13. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from {a: 1, w: 12, y: 6}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/16)\/((-3)\/12). What is the third derivative of -2*z + 12*z**3 + 2*z - 11*z**3 + q*z**2 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3)*4\/2. Let i be ((-140)\/f)\/(2\/9). Suppose 5*x + i = 4*q + q, -60 = -3*q + 4*x. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2639758670?\nAnswer: 2, 5, 311, 848797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 5, -30, 2\/37, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m*m**(-2\/9))**3\/((m**(-2\/5)*m)**(-26))**(2\/3) assuming m is positive.\nAnswer: m**(629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/788676 and 169\/84?\nAnswer: 788676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**4\/24 - 2*j**3\/3 + j**2. Let v be y(-6). Suppose 22 + 24 = v*b. Solve -5*w + 20 = 5*z, -4*w + z = -2*z - b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3277340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 450\/(-27)*12\/(-5). Find the second derivative of -26*b**3 - 40 + s - 2*b wrt b.\nAnswer: -156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 14*f**2 + 5*f + 126. Let b be (-26 + -2)*(-15)\/(-30). Let o be c(b). What is the greatest common divisor of 98 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422284 by -105571.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4394.963 + -4493.5. Let p = -99.05641 - y. Let c = 0.52 + p. What is c rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*m - a - 25, -m = -a - 28. What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -761 greater than -756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 1414486745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1170*s + 1104. List the prime factors of n(0).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 11*c - 11*c + (2 - c**2 - 2)*(6*c - c - 2*c) + (14*c**3 + 10*c**2 - 10*c**2)*(2 - 2 - 1) + 3*c**2 - 3*c**2 - c**3 - 4*c + 4*c + c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 8 = -9*f. Let w(r) = -12*r - 18. Let u be w(f). What is the greatest common factor of u and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Suppose 0 = -4*x + p*x + 2. Let r = 109568\/5 - 21914. What is the biggest value in -2, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*d - 577*d + 22130 = -1588 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/(-10) - (-1)\/((-10)\/(-4)). Differentiate v*b - 15 - 3 + 2 with respect to b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.97 - 0.03. Let i = g - -9.9. Let t = i + 1. What is the closest to 1\/4 in t, 1\/12, -5\/2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*f + 338*f = 51844 + 20129. What are the prime factors of f?\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85880251 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 25. Which is the closest to 1\/2? (a) 3\/8 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t**2 + 0*t**2 - 12*t**2. Let s(v) = 23*v**2 + 3*v. What is s(u(a))?\nAnswer: 23*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 23*v**2 - 3*v + 101. Give c(23).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 - 36*v**3 + 196*v**2 - 156*v = 0.\nAnswer: -13, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 34342850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*30*(-6)\/54. Solve -t - d = f, 2*t = -2*t + f - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 6*d. Let i be b(6). Suppose 0 = -i*m - 4*m + 8. Suppose -4*o - 2075 + 9669 = 3*c, c = m*o + 2528. Round c to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-24)*4 + (-392)\/48\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 - 24 = d, -w + d = 17. Let h = w - -31. Suppose 3*n + v = n + 10, 0 = -5*n - 5*v + 15. Calculate the least common multiple of n and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11526852 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20131633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, s: 5, a: 2, t: 3}. Give prob of picking 1 s, 1 z, 1 a, and 1 t.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r - 3. Let w be (-17)\/5 + 12\/(-20). Let t(v) = -3*v - 4. Calculate the smallest common multiple of t(w) and a(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26395320 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 276\/(-9). Suppose -4*m + 20 = -4*c, 2*m + 15 = 4*m - 3*c. Let b = m - l. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*1.77\nAnswer: 7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*r - 5 = 0, 27*o - 2*r = 32*o - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -81. Let w = s + -30. Suppose -w*b - 5 = -13. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:24 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*-2*5 + -2*sqrt(132)*-4)\/(-2*(sqrt(12) - (sqrt(300) + sqrt(12))) + 5*sqrt(768)).\nAnswer: -sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 120 = 10*b. Which is smaller: -12 or b?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 34. Suppose n + k = 6*n. Find the second derivative of 2*w**5 + 5*w**n - 6*w**5 - 3*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.33576cm to micrometers.\nAnswer: 453357.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5*(-1)\/1)\/(-1). Let d = -5 + p. Let r(i) = -i**2 - 3*i + 4. Let k be r(-4). Solve k = v - d*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1\/60*y**6 - 138*y**2 - 1\/60*y**5 + 1\/2*y**3 + 0*y + 1\/8*y**4 + 0. Determine r(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1283 - 56. Suppose 4*h - 483 = 4*o - m, -4*h = -4. Does 43 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193\/2 + 97. Suppose m*o**3 + 3\/2*o + 1\/2 + 3\/2*o**2 = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w**2 - 1 + 64*w + 1 - 59*w wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1947395, 3894599, 5841803, 7789007?\n\"Answer: 1947204*w + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -14 (b) 2\/159 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87903 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -64.815382.\nAnswer: -63.815382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsqssxhx. What is prob of sequence hxsq?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 8) in base 13?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111010100111 (base 2) to base 12\nAnswer: -2207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -195 (base 13) to base 5\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.056 (b) 6 (c) 14\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 123*l + 620. Let z be u(-5). Solve 0 = 28*k - 26*k - p + z, -5*k + 4*p = 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 - m - 3. Let c(s) = s**2. What is 4*c(d) + u(d)?\nAnswer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:33 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1264904653 to the nearest integer?\nAnswer: 35565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2284, -2127, -1848, -1441, -900, -219, 608?\n\"Answer: s**3 + 55*s**2 - 15*s - 2325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/13 (b) -1\/3 (c) 1\/10 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 19. Suppose 4*v + 2*f + 0*f = 478, -4*f - 508 = -4*v. Let d be 183\/v*38\/(-3). What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w. Let b(s) be the third derivative of -s**4\/24 - 2*s**2. Give b(k(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k + 65*k - 131*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12785\/1329 > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792.799 rounded to 0 decimal places?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 279879 + -279937.0255. Let n = -58.1362 - -0.1362. Let v = n - h. What is v rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 + (-1)\/(-4). Suppose -3 = 2*u - 1. Which is greater: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + v = -v + 172, 3*v = 5*o + 173. Let s = -39566 + 39565.7. What is the third smallest value in s, 2\/5, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 22*v - 11*v + 0*v - 13*v. Let o(f) = -59*f. What is c(o(d))?\nAnswer: 118*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 761986\/137 - 5562. Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 307.7502? (a) 2\/13 (b) 4 (c) -2\/5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - 6*v + 5*v)*(4*v**2 + 11*v**3 - 4*v**2) + 4*v - 5*v - v - 2*v**4 as j*v + b*v**2 + g*v**4 + u + d*v**3 and give g.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/30 and 14\/350*(-38)\/44.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(931) + 2)**2 + ((2 + sqrt(931))*5)**2)*-2.\nAnswer: -48644 - 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.3646 meters to centimeters.\nAnswer: 16236.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1215\/6*(-9855)\/(-591300)?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12\/(t*t**(1\/13)))\/(t**(-4)*t*t)**(-2\/7) assuming t is positive.\nAnswer: t**(942\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 + -23. Suppose -24 = 2*j - o. Calculate the remainder when 162 is divided by j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 2*d + 8*d**2 - 8 - 4*d. Let t(a) = -a**2 + 1. Let h(b) = -q(b) - 6*t(b). What is the derivative of h(o) wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z. Suppose 0 = -0*y + 2*y - 12. Suppose z = -u - 2*x + 163, -151 = -u - 4*x + y*x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 8. Let m = 4 + -8. Do z and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -b - 23, 8*f + 2*b - 45 = 3*f. Suppose 0 = 4*q - f - 1. Solve 2*k - 8 = q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 3, l: 2}. Give prob of picking 1 o and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 0. Let f be (-65)\/a - 2\/(-12). Let u = 33 - -66. Calculate the highest common divisor of u and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 46*m - 323. Let x be t(7). Which is the nearest to 0.9? (a) -3\/7 (b) x (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14182353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8879 and 130.\nAnswer: 88790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -590*i**2 - 3. Let k(h) = -587*h**2 - 5. Give 5*k(s) - 6*m(s).\nAnswer: 605*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -18. Let m = 145.8 - 146. Which is the third smallest value? (a) -0.5 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.18, -0.05, 0.1, 3, 0.7, 2\/27, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 11. Let q(r) = -5*r - 34. Let h(t) = -11*t - 69. Let f(g) = -2*h(g) + 5*q(g). Calculate 17*b(m) + 6*f(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 487537134 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316446?\nAnswer: 2, 17, 31, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 555 - 106. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 229\/18 - ((-3916)\/198 + 20). Let l(u) be the first derivative of 23 - g*u**2 - 3*u. What is the first derivative of l(n) wrt n?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120241420 + -2?\nAnswer: 120241414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 4*c = -5, -4*o - 444419*c - 19 = -444422*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1955*j**2*v - 12*j*v + 1121*j - 5157486*v - 27 wrt j?\nAnswer: -3910*j*v - 12*v + 1121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*s**2 - 62*s**2 + s + 12*s.\nAnswer: 6*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 6*s + 21.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 5, r: 1, w: 7}. What is prob of sequence ri?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 23*d**2 - 23*d - 21*d**2)*(-1 + 2 + 2) + 2 - 2 - 2*d**2.\nAnswer: 4*d**2 - 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Let n = 4 - -8. Calculate the remainder when 1*2*(h - -7) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1733 - -2452. Suppose 0 = -2*y + y - 1, 2*q + 5*y + c = 0. Let l = 610 + q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/4*(-4)\/(-6). Let s = -1 + n. Solve v - s = -0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46742*w**3 + 103804*w wrt w.\nAnswer: 280452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 66*u + 238004\/3.\nAnswer: -2*(u - 299)*(u + 398)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7413, 4, -1 in decreasing order.\nAnswer: 7413, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -g - 3*b, -4*g + 11 = -0*b - b. Suppose -5*o + 33020 = -3*k, -g*k + 0*k = o - 6627. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12732\/13 > 978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692817 greater than or equal to 6692832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 3*r = -15. Let t(j) = 7*j**3 + 5*j**2 - 12*j + 12. Let q(a) = -a**3 + a - 1. Let o(d) = r*t(d) - 6*q(d). Give o(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -408\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*3*33\/(-396). What is the second biggest value in 0, y, 0.04, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244 less than 0.00287?\nAnswer: -2243.99713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = -11*n + 5 - 26, 4*n - 2*y = -16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27\/35 + 4\/7. Put 0.05, -7, w in increasing order.\nAnswer: -7, w, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302637902507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 - 234*q**4 - 3297*q**3 - 11106*q**2 + 14640*q = 0.\nAnswer: -61, -10, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1 - (-1 - 1)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 33 + 5. Suppose 2*w - 4 = -2*y, 28*y = 30*y - 6. Let c be 3\/(b\/4 + (1 - w)). Which is greater: c or -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose -f*t + 2 = -68. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 - r. Let y be (2\/(-10))\/(10\/(-50)). What are the prime factors of l(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**7\/2520 - a**6\/144 - a**5\/40 + a**4\/4 - a. Let l(r) be the third derivative of s(r). What are the prime factors of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -207. Suppose -b - 36 = -2*n. Is 11 a factor of (3\/2)\/(4\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 1093368527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1264356250 and 2741.\nAnswer: 1264358991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 3*i + i - 22*i**2.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 22. Let p be n(5). Suppose 3*u = -2*a + 14, -3*a + 0 + 8 = -p*u. Solve 12 = a*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8108*z**4 + 28061*z**2 - 853278334*z.\nAnswer: -97296*z**2 + 56122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64526, 129049, 193568, 258083, 322594, 387101?\nAnswer: 451604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 2. Let c be q(7). Suppose c*w = 7*w - 6. Solve 0 = 3*r - w - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*s - 265*s + 7*s**2 + 10622 - s**3 - s**3.\nAnswer: -2*s**3 + 7*s**2 + 5*s + 10622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v + 3. Let u be y(-2). Let b(z) = z**3 + 1. Let f(w) = -w - 9*w**3 - 9 + 4*w**3 + 3. What is u*f(l) + 6*b(l)?\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(24)\/sqrt(4)*4) - (-1*sqrt(891) - (sqrt(99) + 0)).\nAnswer: 49*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 98*u**2 + 35*u + 3422. Give k(-98).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41851\/7728 + 3\/2576. What is the common denominator of (2\/(-32))\/(15\/(-2780)) and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99585?\nAnswer: 3, 5, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 1. Suppose -5*n = 4*c + 9, 2 = n - 3*c - 0. Calculate l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24412303 + 0?\nAnswer: 24412303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w = -36*w - 20. Let a be (-576)\/20 - (-8)\/w. Let b = a - -33. Solve -b*n + 4*n + y - 4 = 0, 2*y = 3*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14214689063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1011001100001100010011?\nAnswer: -1011001100001100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-5)\/(-5)*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 8*v - 7*v + 10*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -104.08. Round m to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bttttbrtbttttttrt. What is prob of sequence tbrr?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*p + 253*p = 2340 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16899100 to the nearest 10000.\nAnswer: -16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -17036*f - 342*f**3 + 15 + 8518*f + 96*f**2 - 98*f**2 + 8517*f in the form u*f + d*f**2 + a*f**3 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 1 g when three letters picked without replacement from {j: 6, d: 7, g: 5, s: 1}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 1, p: 2, t: 2, h: 2}. What is prob of sequence ahg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in 0.3, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)\/(w\/(w\/((w\/(w*w*w**(-2)*w))\/w)*w*w)))\/(w**(-4\/7)*w**(-3))*(w**(-2\/3)*w\/(w*w**(-2)*w*w))\/(w*w**(-8)*w**(2\/15)) assuming w is positive.\nAnswer: w**(457\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 - 3.1. Let p = 5.9 + -0.9. Let y = -4.98 - 0.02. Put p, y, f in decreasing order.\nAnswer: p, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397354771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbbb when four letters picked without replacement from bhnbjehbhenhj.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 10. Let i = 8 + v. What is the second derivative of 4*n**4 + 2*n - i*n**4 + 0*n wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.14003 millilitres to litres.\nAnswer: 0.02214003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5497, -10998, -16499, -22000, -27501, -33002?\nAnswer: -38503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.047 (b) -1 (c) 602 (d) -3 (e) -5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(16) + sqrt(95)\/(sqrt(80) + sqrt(5)) + -5.\nAnswer: -5 + 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 80 = u. Suppose -42 + 66 + 81 = 7*c. What is the remainder when u is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-6) + (-15)\/10. Suppose h*u - 19 = 29. Suppose -u*c = 226 - 1458. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.17 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164857547359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, o: 8, f: 1}. What is prob of picking 1 f and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 135*h - 138*h - 7 = 0, 4*h = -3*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1905.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.90455 times 31\nAnswer: 28.04105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g. Let l be w(-3). Let d(k) = -2*k**3 + 3*k**2 + 4*k. Is d(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (363\/(-605))\/(15\/(-1650500)). Calculate the greatest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3098, 3106, 3136, 3200, 3310?\n\"Answer: 2*l**3 - l**2 - 3*l + 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbxgbgzggxaggb. What is prob of picking 2 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**5 - 465*y**3 + 468*y**3 + 31*y**2 - 3*y**5 wrt y?\nAnswer: -180*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*n = n - 12, 16 = 4*n. Let x = -10\/23 + 73\/115. What is the nearest to t in -2\/5, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45238 + -45170. Sort -10, b, 4, 5 in descending order.\nAnswer: b, 5, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 + -678\/5. Which is the nearest to 2\/5? (a) z (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17694038.\nAnswer: 2, 23, 211, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 2. Let q(c) = -9*c + 4. Let x be 6 - (6 + -1 + -1). Let v(p) = x*q(p) - 5*y(p). Calculate v(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(2250\/200)\/(35\/14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 9*k - 1. Let t be (3 - k)\/(-4) + -2. Is (t + 1)*(-1246)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/30 + 49*w**4\/24 - 5*w**3\/2 + 2*w**2 - 1. What is the remainder when 48 is divided by o(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*c**5 + 82*c**5 + 82*c**5 + 214*c**5 + 5*c**5 - 4*c**5 + 0*c**5 + (-3 + 0 + 1)*(3*c**5 - 3*c**5 + 2*c**5).\nAnswer: 418*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -6 - (-6 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -959*c**3\/3 - 2390*c - 2068. What is the first derivative of x(s) wrt s?\nAnswer: -1918*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1486 and -17\/12?\nAnswer: 8916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 43 = -3*n, -26*n + 1 = -27*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 274*x**3 - 6*x**4 - x**2 + 271*x**3 - 2*x + 10 + 2*x - 544*x**3 - x as r*x**4 + i*x**2 + a + t*x**3 + z*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 2, e: 3, l: 1, q: 6}. Give prob of sequence eqef.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2544 - 1645. Calculate the greatest common divisor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4563*l**4 - 6*l**2 + 97131*l wrt l?\nAnswer: -54756*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1075338 and -11\/1368612.\nAnswer: 15054732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3082*v + 3587*v - 7749*v.\nAnswer: -1080*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.49452 microseconds to seconds.\nAnswer: 0.00009349452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/9 + 46826*n**3\/9 + 273967190*n**2\/9 - 152313274*n + 121867272 = 0.\nAnswer: -11709, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 114 = 47. Solve 3*p + 2 = -l, 2*l = -3*p - 0*l - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -13*g + 8*g + 22, -g = -2*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259\/6 + -43. Let d = 0.5 + 0.1. Let l = 4.4 + d. Put -5, l, m in ascending order.\nAnswer: -5, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**3 + 3 - 3)*(-28*h + 1 - 7 + 2) to c*h**2 + p + w*h + m*h**4 + j*h**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 200 = -u. Let y = u + 208. Suppose z - 63 = 3*k - 0*k, -2*z = 3*k - y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 9 = 0, -5*a - 4*o + 27 = 0. Let d be 1\/a - 1*(-2)\/(-6). Let q be 1*(d - -1 - 0) - 3. Let c(x) = -5*x + 1. Determine c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.023 times -18\nAnswer: 0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108913?\nAnswer: 7, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 984356061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**3 - 125*u**3 + 165 + 40*u**3.\nAnswer: -56*u**3 + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-1) - (-27)\/(-270)*-38. Which is the smallest value? (a) -35 (b) 8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waaawaaaawaaawaw. What is prob of sequence awa?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -99, -125, -129, -105, -47, 51, 195?\n\"Answer: z**3 + 2*z**2 - 55*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 - 17. Let d be c(5). Let z = 17 - d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -247*o**9\/56 - 9*o**5\/10 - o**3\/2 + 43*o**2 + 35. What is the third derivative of g(f) wrt f?\nAnswer: -266760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:15 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1474*b = 1241*b - 3728 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - (0 + -1) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*i**3 - i**2 + 5 - 3 - 278*i**3 + 3 + 2*i - 11 to the form s + u*i**2 + m*i**3 + y*i and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**2 - 5*z**2 - 5*z**2.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o + 116. Calculate the remainder when c(-22) is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 3*y - 2*y + (-3 + 6 - 1)*(y + 0*y - 4*y))*(-9*y - 20*y + 0*y) to the form k*y**2 + z*y + v and give k.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3908.8 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - (sqrt(5) + (-1*sqrt(10))\/sqrt(2))**2)*-4*-1.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/2 (b) -3 (c) -4.02 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 9 - 2*j**3 - 75*j**2 + 39*j**2 - 3.\nAnswer: -2*j**3 - 36*j**2 + 2*j - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 4 in increasing order.\nAnswer: -11, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x**2 + 15*x**3 + 12*x**3 - 29*x**3)*(-27 + 3 - 1).\nAnswer: 50*x**3 + 275*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116472*a - 116471*a - 15 - 12 + 232944*a + 27.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(sqrt(1331)*-1)**2*-3.\nAnswer: -11984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by 1479\nAnswer: -47\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*p - 33*p**2 + 8*p**2 + 22*p + 5*p**2 + 13*p - 1 to y + x*p + d*p**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 373876*v + 124636*v + 124630*v + 124624*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 27*y. Let w(q) = 31*q**2 - 3*q + 11. Calculate a(w(h)).\nAnswer: 837*h**2 - 81*h + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m**2 + 2. Suppose 5*y - 50 = -3*q, -y + 2 + 36 = -5*q. Let r(u) = -35*u**2 + u - 4. Let g(v) = y*l(v) + 6*r(v). Is g(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y - y + 4 - 6*y - 2 + 8*y + 2 - 4*y + y + 0*y + 2*y + 0*y - y + y + 1 - 1 + (2 + 0 - 1)*(-4*y - 2*y + 5*y) - 1 - 2*y + 1.\nAnswer: 7*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(18\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*o - 179*o - 15*o in the form v + l*o and give l.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 84 = -21. Find the third derivative of -19*r**2 - 9*r**6 + w*r**6 + 8*r**6 wrt r.\nAnswer: 4080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 2*m. Let x be d(2). What is the nearest to x in -0.4, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 2 + 2 + (-5*b + 5*b - b)*(b - 2*b + 2*b) + (-11*b + 4*b - 24*b)*(1 - 1 - 2*b) + 5*b**2 + 5 - 5 as s*b + n + q*b**2 and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 94 = 5*b, 3*b - 2*a - 30 = -88. Let j = 27 + b. Suppose -j*g + 3*g + 54 = 0. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 5 (c) 0.16 (d) -3 (e) 5\/6 (f) -4\/123 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 2 g when four letters picked without replacement from {j: 3, z: 3, u: 1, g: 10, l: 3}?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*2 - 1. Let s(z) = 3*z + 1. Let w be s(5). Let y = w + v. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362170.\nAnswer: 2, 3, 5, 71, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6378, -7902, -9502, -11178, -12930?\nAnswer: -14758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/3)*v**(-21) assuming v is positive.\nAnswer: v**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356579.\nAnswer: 356579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -2 + (-6)\/(-3). Suppose q = 4*v + 3*v - 287. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 4, v: 1, w: 3, x: 1, y: 1}. Give prob of picking 1 o and 1 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/6 - 15*y**2\/2 - 1700*y\/3 = 0 for y.\nAnswer: -40, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81378, -650994, -2197096, -5207928, -10171734?\n\"Answer: -81374*q**3 + q**2 - q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 4. Let m(q) = -6*q + 8. Let d(l) = -6*m(l) + 11*y(l). Let r(z) = -4*z + 5. Calculate 5*d(k) + 4*r(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 42 - (-3 - -11 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*sqrt(11)*-2*4)**2.\nAnswer: 240*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:59 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 422943 from 284.2.\nAnswer: -422658.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(96) - -4*sqrt(96)*-1)\/sqrt(4))\/(sqrt(32)\/(sqrt(16)\/sqrt(4)) + sqrt(128)*1).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 49. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j. Let l(x) = 20*x**2. Give k(l(o)).\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048232471 to 7 decimal places.\nAnswer: 0.0004823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9018 is divided by 95.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, 26, 393.\nAnswer: 26, 180, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 138\/(-9) - (5 + (-140)\/21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 3. Let v be 2\/4 + (-15)\/(-6). What is the remainder when j(v) is divided by (-46)\/(-6) + 2\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -942*g**3 + 24019*g**2 + 12297*g + 26 = 0. What is g?\nAnswer: -1\/2, -1\/471, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -77?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 - 5*j - 2. Let s(v) = -1 + 5 + v**3 - 4*v**2 - 6*v + 4*v**2 + 5*v**2. Let x be s(-6). Calculate the remainder when q(x) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.4166 and -11180178327?\nAnswer: 11180178321.5834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019730?\nAnswer: 2, 5, 201973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 15*p**2 - p + 14. Let b be a(15). Let h be b*(-2 - -3) - -11. Let m = 9 + h. What is the remainder when 53 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 25 + 9 + 26 - n - 59. Let o be -6 + (0 - 0) + 1. Let f be a(o). Calculate the highest common factor of 30 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-30)\/4. Let f be (-141)\/(-231) + (-3)\/s. Let m = 3 - 3.2. Which is the third biggest value? (a) f (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4 + 21. Let x = 8 - t. Suppose -o + 2*o - 23 = 0. What is the remainder when o is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:27 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (67 - 60) + (-2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168 - (-473 + 166)) + (-2 - 36).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - ((-21)\/(-3) - 10). Let i(c) = 13 - 8 - c**3 - 4 - o*c - 9*c**2. Determine i(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 953953 = 41*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**6\/57 + 16*k**5\/95 - 13*k**4\/38 + 4*k**3\/19 + 257. Find z, given that q(z) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, w: 6, b: 1, a: 3}. What is prob of sequence wab?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191*q**2 - 190 wrt q?\nAnswer: -382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + p = 26398, -g + 4280 = 3*p - 2325. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305 + -305. Let a(k) be the first derivative of y*k - 5 + 1\/2*k**2. Let n(g) = -2*g. Give a(n(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151585, -151583, -151579, -151573, -151565?\n\"Answer: a**2 - a - 151585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from bbbqqbbbbbqbbqbq.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549843 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -125 - 31\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9240, 4862, 470, -3942, -8380, -12850, -17358, -21910?\n\"Answer: -k**3 - k**2 - 4368*k + 13610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - 3\/(0 + 1). Let x be (l\/50)\/(2\/(-30)). Solve 3*h - x = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 3*w + 648. Suppose 0 = -4*y - 0*y - 5*k - w, -4*y + 5*k - 182 = 0. What is the tens digit of (-6)\/2 - (y + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (3 + (-3 - -2)). Suppose 22 = -p - 4*s + 70, -228 = -4*p + m*s. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15532 - 1205?\nAnswer: -21141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.66 + -0.57576.\nAnswer: -4.23576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -11 (c) -0.5 (d) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101039 is divided by 32903.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423640 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/3 + w**3\/2 + 4*w**2. Let g(c) = 3*c + 13. Let i(d) = 4*d + 20. Let s(a) = -3*g(a) + 2*i(a). Determine h(b) - 2*s(b).\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a second?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - 1*sqrt(20)) - (sqrt(405) + -5 + (sqrt(405)*1)**2 + sqrt(405)).\nAnswer: -395 - 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 4*f, -5*f = -t - 2*t - 25. Let b(a) = 2*a + 2*a**3 + a**f + 3 + 2*a**3 - 5*a**3 - 3*a**2. What is the remainder when 22 is divided by b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 14*m**2 - 9*m - 39. Give r(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.626083 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 1588210*n\/3 - 630602751025\/3.\nAnswer: -(n - 794105)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-11)\/(-330)*-6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-14188*j + 412314 - 412314).\nAnswer: -14188*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3 - -1) + -1)\/(-1). Let d = 130 + -127. What is the second derivative of 7*s - d*s + 6*s + 4*s**m + s wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h + 11\/3*h**3 + 0 - 13\/24*h**4 + 20*h**2. Differentiate d(x) with respect to x.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(63) + sqrt(567)*2 + sqrt(567) + sqrt(63) + sqrt(63) + -4*(sqrt(63) + sqrt(63)*2))\/(-1*sqrt(225) + (sqrt(144) + sqrt(9))*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 2:45 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28154868.94 rounded to the nearest one thousand?\nAnswer: -28155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 189, -2, -102 in ascending order.\nAnswer: -102, -4, -2, 4, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - 0.17. Let j = f + 0.17. Let w = 0.02 + j. Round w to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 553, 557, 561?\n\"Answer: 4*u + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/91, 6\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1222 - 3*h**3 - 2534 + 1312.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 95, 147, 203, 263, 327, 395?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 10:20 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)\/q*q**(-31))**(-33) assuming q is positive.\nAnswer: q**1221","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.6017277 to 2 dps.\nAnswer: -67.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4935.00003768 - -4935. Round w to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/901992 and 11\/58292?\nAnswer: 17137848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m - 1. Let j(l) = l**2 + 3*l + 3. Calculate 3*b(g) + j(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67\/26 in 0.1, -4\/7, 2, -0.0733?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 147312?\nAnswer: 147312.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -4)*(-3)\/6. Suppose 0*l = x*l - 10. Suppose l*g - 2*g = 1923. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -13. Let d = -8 - u. Suppose 5*q + f - 22 = 0, -5*q + d*f = -2*q - 27. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 9*l**2 + l - 6. Let t be r(9). Sort 2, t, 6.\nAnswer: 2, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.3 + 54.8. Let i = o + -37. What is the nearest to 0 in -4, i, -9\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216 or -1318766?\nAnswer: -1318766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omao when four letters picked without replacement from omaaaooa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from {y: 12, o: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + 33\/5. Let q = -11 + t. Suppose 4 = -788*y + 792*y, -23 = -5*j + 2*y. Sort q, 2, j.\nAnswer: q, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1\/7, -5, -21\/2, -2, -1\/4 in descending order.\nAnswer: -1\/7, -1\/4, -2, -5, -21\/2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -122, -341, -560, -779, -998, -1217?\n\"Answer: -219*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 246*180.2\nAnswer: 44329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(512))**2 + 4 - (sqrt(512) + (sqrt(512) - -3*(-3*sqrt(512) - sqrt(512))))**2.\nAnswer: -49148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1)\/i)*i**(-3)*i**(-4)*i*i*i\/((i**(-5)\/i)\/i))**3)**(-15\/8) assuming i is positive.\nAnswer: i**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:26 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * 0.0766\nAnswer: 0.029874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3*p - 1. Suppose 0 = -h - 4*k + 44, 0*k + 5*k + 81 = 3*h. Suppose 2*r - 2*j - h = 3*j, -4 = -2*r - 2*j. What are the prime factors of c(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let g = -69527\/65 + 5349\/5. Which is the third smallest value? (a) -5 (b) 0.5 (c) x (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s + 9*s. Let l(g) be the third derivative of 0*g + 8\/3*g**3 - 2\/3*g**4 + 1\/15*g**5 + s + 11*g**2. Find p, given that l(p) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -3\/7 (b) 4\/5 (c) 11\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/15 - 36568*d\/3 + 182842\/15 = 0. Calculate d.\nAnswer: -91421, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -20\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002200706 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183 = 75491*b - 75432*b for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5\/9 + 256*v**4 + 3152*v**3\/3 - 101696*v**2\/9 - 75008*v\/3 + 148480 = 0. What is v?\nAnswer: -6, 4, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by -4 + (-130)\/(-4) + (-9)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.09 (b) 0 (c) -2 (d) 0.678\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1384.9734 - 1385. What is j rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 + 1 = 4*h, 2*h = 4*f - 4. Let k(t) be the third derivative of 6*t**f + 1\/20*t**5 + 0*t**3 + 0 + 0*t - 1\/4*t**4. Factor k(o).\nAnswer: 3*o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.55 + -2.035. Let u = 260.485 + q. Let b = u + -260.9599. What is b rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*l + 28 = 0, -11*q - 5*l - 45 = -6*q. Does 31 divide 124\/(-3)*(111\/(-6) - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = 5*u. Let z(s) = -3*s + 2. Calculate the remainder when 15 is divided by z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - (-42)\/9. Suppose -3*z = 3*r - 5*z - 5, j*r + 5*z = -25. What is the closest to r in 0.3, 0.4, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1223, 2445, 3665, 4883, 6099, 7313?\n\"Answer: -h**2 + 1225*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 + -3.18. Put 1\/5, c, -3\/2 in descending order.\nAnswer: 1\/5, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3090998922.7 - 0.4.\nAnswer: 3090998922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 485 - 15 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 44121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 4. Let g(y) = -y**2 + 8*y - 10. Let u be g(7). Is 2 a factor of (28\/6)\/(q\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osoonoxoennno. Give prob of sequence xs.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 976*y**4 - 692*y**2 + 2*y - 1 wrt y.\nAnswer: 23424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6153 (base 10) to base 16.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtd when three letters picked without replacement from dddddddddddddddddtdd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 14 + -12 - -31.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 627.04 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60760 is divided by 571?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 9*o**2 + 13*o + 5. Suppose 2*h + 22 = 55*y - 59*y, 0 = h + 4*y + 15. Calculate g(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 197639 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-1 - 2) - (-95 - -91).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*s - 4, 4*t - 2*s = s - 3. Suppose y + 4*p = -p + 23, t = -5*y - p + 139. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -30*w**2 + 19\/2*w**3 - 48*w - 1. Find the first derivative of v(s) wrt s.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560 (base 14) in base 6?\nAnswer: 111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-41)\/(41\/15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16940 and 726?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 2. Let f = -3 + 3. Let v(u) = -4*u**2 + 1 + f*u + 2*u**3 - 3*u**3 + u. Let a be v(-4). Let n(z) = z + 3. Determine a*n(x) - 4*d(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72818098 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 11 - -26 - ((11 - 20) + 13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444 < 17277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2593 + 20657\/8. Find the common denominator of a and -61\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8934*z**4 + 8919*z**4 + 0*z**2 - 2 - 2*z**2 - 2*z to a*z**2 + q*z**3 + d*z**4 + r*z + l and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**7*y)*y*y*y*y\/y**(-2\/17)*(y\/y**2)**(-7\/10) assuming y is positive.\nAnswer: y**(-371\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q**2 - q + 1. Let j = 3 + -4. Calculate the remainder when x(1) is divided by j + 6 - (-11 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4653 is divided by 1528?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10699*p = -10642*p - 570 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1015276892 and 3.\nAnswer: -1015276889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.133 or -14206.2?\nAnswer: -14206.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380138133.\nAnswer: 11, 125467103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*l + 26. Let g be l\/18 + (-64)\/(-36). Solve 0*n - 2*n**3 + 10*n**5 - n**4 - 1 - 9*n**5 + n + g*n**2 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 10 + 7 = -3*y, -5*y - 40 = 5*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - v - 75. Let h be (-10)\/v + (-58)\/(-5). Calculate the highest common divisor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m + 197*m + 49*m**2 + 83*m**2 - 249*m - 2.\nAnswer: 132*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 74.\nAnswer: -48\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 + -110001200?\nAnswer: -110011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4684140 or -4684138?\nAnswer: -4684140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) - (sqrt(17) + -3 + sqrt(51)\/sqrt(3))) + -1)**2.\nAnswer: -126 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -34, -92, -184, -316, -494?\n\"Answer: -o**3 - 8*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2cc + -4686?\nAnswer: -4974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2530179048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 226*k**2 - 684*k + 29. What is v(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15147 + 384 = -57*c. List the prime factors of c.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w - 34. Let f be t(-3). Sort -5, -7, -2, f in decreasing order.\nAnswer: f, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19515\/22 + -887. What is the common denominator of t and -75\/164?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-72) - 70\/(-90). What is the third biggest value in 0.02, -0.06, f, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 12. Find the third derivative of b**w + 5*b**3 - 3*b**2 + 0*b**2 - b**2 wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 27*f + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 97 - 81 = -4*q, 3*d = -3*q + 165. Solve q*o - 65*o = 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137860 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 5. Suppose 69 = -5*b + 2*d + 92, 0 = -2*d + 2. Let x(m) = 9*m**2 + 11. Give b*y(z) - 2*x(z).\nAnswer: 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733791728?\nAnswer: 2, 3, 36120661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c**3 + 14*c + 0 - 44\/3*c**2.\nAnswer: 2*c*(c - 21)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -698*l**5 + 20*l**4 + l**2 + 351.\nAnswer: -41880*l**2 + 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = a. Put 14, -4, 4, a in increasing order.\nAnswer: -4, a, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295975 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3204, -5768, -8332, -10896, -13460, -16024?\n\"Answer: -2564*k - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 2\/7 (c) 2\/11 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46076143930 rounded to the nearest one million?\nAnswer: 46076000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = r + r. Suppose 4*i = -v + 101, -9*i + 317 = 3*v - 4*i. Suppose 0 = -7*o + v - 18. Calculate the highest common factor of r and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5774 is divided by 1153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = -12. Let r(q) = -q**2 - 10*q - 4. Let i be r(d). Suppose 0 = -i*p + 17*p + 321. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -367, -555, -743?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:18 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/25 - (-24)\/10. Suppose -4*u = -f*u - 32. Let p be (0 + -1 + 94)*(u - 13). Round p to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) 0.3 (b) -1 (c) -3 (d) -0.07 (e) -2.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98702*1060.\nAnswer: 104624120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 - 26*a**2 - 29*a + 12. What is the units digit of f(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1801.8 - 1803. Let w = 278 - 266.9. Let j = z - w. What is j rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 22 = -5*b - 2, 3*b - z - 16 = 0. Suppose b*c + 4*u = 30, -5*u - 18 = -4*c - 7*u. Solve 7 = -a + c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 61. Suppose 56*r - 58*r = -l. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-216)\/(-22) - (-8)\/44. Let m be (-4)\/s*(10 - -5). Let v be 4\/3 - (-78008)\/m. Round v to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81249 and 9699?\nAnswer: 4956189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1094 + -1.2124. Are -12 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755*3 - 2*(-7)\/28*0?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191.36592 months to years.\nAnswer: 15.94716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198643\/23032 - 1\/2879. Which is smaller: -10 or y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woqwooooowqw. What is prob of picking 2 o, 1 q, and 1 w?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:14 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318608243.\nAnswer: 9181, 34703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:24 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 3815700*u**2 - 11447073*u.\nAnswer: -3*u*(u + 3)*(u + 1271897)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 24*f - 2. Let d(m) = 12*m - 1. Determine 11*d(t) - 6*h(t).\nAnswer: -12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27376 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1288*u - 1917.\nAnswer: 1288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -52.5. Let l = f - -40. What is the third biggest value in -3\/7, l, -2\/3, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.24176 weeks to minutes.\nAnswer: 22596.9408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -16, -23 in increasing order.\nAnswer: -23, -16, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 154896 times -2.7\nAnswer: -418219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*s - 263 - 167 - 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -33*p + 23*p. Let y(q) = 2*q**3 + 5*q**2 - 5*q - 97. Let j(u) = -u**3 - 3*u**2 + 3*u + 49. What is p*j(c) + 3*y(c)?\nAnswer: c**3 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i. Let j(t) = 4*t. Let m(o) = -3*j(o) - 4*x(o). Let z(d) = -d - 1592453 + 1592453. Determine z(m(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.114312 - 0.\nAnswer: 0.114312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - 4 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -8874 - 8790. What is the remainder when b is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/18 and -5\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, -2, 4, -23 in ascending order.\nAnswer: -23, -17, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*4\/6. Is 8 a factor of (t\/2)\/(2\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -22?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 39854, 5, 0 in increasing order.\nAnswer: 0, 5, 39854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(1573) + 1)*5 - 6*sqrt(1573)*-2) + -1*sqrt(1573) + 0 + -3))**2*-1.\nAnswer: -3624228 - 6336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9 + 16\/3. Let v(u) = -3*u + 10. Let s(h) = -h + 1. Let w(o) = -2*s(o) + v(o). Let t be w(x). Solve 0*a = -a - t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*29 + (1 - -1). Let r = 0 + 6. Suppose 4*h = 3*z + u, r*z - 2*z = -2*h + 28. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -13. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2\/8 - 126. Let a = 152 + j. Let q = a - -9. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (182 + 98 - 211)*(0*i + 2*i - 3*i - 4*i - 4*i + 5*i + (-2 - 4 + 5)*(5*i - 2*i - i)) + 202 - 202 - i to the form a*i + n and give a.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + q + 2*q + (1 + 2 - 2)*(q - 4 + 4) - 2138*q + 479*q - 925*q as c + g*q and give g.\nAnswer: -2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19742040.\nAnswer: 2, 3, 5, 29, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/((-5)\/(-1*(-315)\/(-84)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 16*r. What is the units digit of s(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7599871.\nAnswer: 2279961.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 5, -2 in decreasing order.\nAnswer: 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 483219 less than or equal to 483219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1. Let b(n) be the second derivative of n**3\/3 + 3*n**2\/2 + 5*n. Let s be -1*(1 - 2)*1. What is s*b(k) - 5*l(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 4600*z**3 + 18444*z**2 - 23072*z + 9232 = 0. What is z?\nAnswer: -1154, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3060\/(-4335) + (-375)\/119.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 - 20*z**4 + 5902*z**3 - 5880*z**2 = 0. Calculate z.\nAnswer: -60, 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5420438 and 4149?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 2 (c) 2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-224)\/(-20) + (-26)\/(598\/161)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 739676 or 739673?\nAnswer: 739673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*j**3*o**2 + 2*j**3 + 9*j**2*o**2*z - 3*j*o**2*z + j*o**2 + 5*o - 4 wrt j?\nAnswer: -60*j*o**2 + 12*j + 18*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-10)\/(-6))*489. Suppose n - p = -n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-18))\/(996\/(-83))*(-24)\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/5 + -17. What is the second smallest value in -5, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1827\/315 - ((-50)\/(-15))\/(4\/6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1401 and 4752569.\nAnswer: 4751168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 - (9 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202286030?\nAnswer: 2, 3, 5, 11, 3643291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88688 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 47747540.\nAnswer: -1\/47747540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230041555468871\/15264 + 15070856627. Let z = -1\/1696 + l. Let p = 1236307\/58 + -21315. Find the common denominator of p and z.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b - 6. Let d be n(6). Suppose -2 = h - 5*i - 8, 5*h + i - 4 = 0. Let v(z) = -2*z + 1. Let a be v(3). Sort d, a, h.\nAnswer: a, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174\/1339 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 divided by 6?\nAnswer: 740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001946547 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:12 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 4*z + 3. Let l(d) = -4*d**2 - d - 1. Let s(u) = -3*c(u) - 7*l(u). Let w(a) = 12*a**2 - 14*a - 6. Calculate -8*s(o) + 3*w(o).\nAnswer: 4*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Determine u, given that 0 - 3*u + 4*u - n - 17*u - 32*u**2 = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5196252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792779\/281 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 3*o**2 + 4*o**2)*(o + 0 + 0 + (-o - o + 0*o)*(1 - 4 + 2) + 4*o - 2*o - 3*o) to the form n*o**3 + a + m*o + t*o**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1355, -3545, -6555, -10379, -15011?\nAnswer: -20445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -175981, -351960, -527939?\n\"Answer: -175979*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -9 - (6 + 2) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 732 - 169. What is the remainder when i is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19468*a**2 - 39033*a**2 + 19549*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5820 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3998865?\nAnswer: 7997730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103247 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 3 + 0 - 3. Let t(i) = -3*i. What is k(t(q))?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150307109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 281934045 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n - 4. Let p(w) = w**2 - w + 7. Let y(k) = 3*p(k) + 5*t(k). Let s(q) be the first derivative of y(q). What is the derivative of s(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 351958 a multiple of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -56. Let a = p - 14. Find the third derivative of d**3 + 3*d**3 + 0*d**2 - 3*d**a + d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -48. Suppose 6*v = 2*v - 5*d + z, d + 14 = 4*v. Solve -5 = 4*x - v*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20231038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(6\/(-16)*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 - 236*z**2 - 46*z + 51. Let g be u(-47). Solve 4*c = -3*a - 16, -g*a - 18*c - 20 = -13*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1*(4 - 5). Suppose r*z + 67784 = -115216. Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319546370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/(-40*59\/(-218300)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 909017 = -m + 909028, 2*m + 11*s = 2*m + 44 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/315 and -41\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, -2\/7, -7\/10, 5, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*sqrt(325)*-4*3)**2*-3 + -3.\nAnswer: 14039997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 16827*g**2 + 504614*g\/3 - 1615072.\nAnswer: (g - 6)*(g + 16)*(g + 50471)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.165, 2\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/2142 and 13\/10556388?\nAnswer: 73894716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 - 4. Let l = -0.3 + f. Let h = -0.4 - -0.3. Which is the closest to h? (a) l (b) -1\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 190, 88, -136?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/105333301 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 1. Suppose -13 = 3*j - 4. Let z be (-5)\/j + 8\/24. Let u(g) = -g. Calculate z*u(d) - v(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51603 by 4.\nAnswer: -51603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.85 - 21.35. Sort 2\/35, -1, 1\/3, u in increasing order.\nAnswer: -1, u, 2\/35, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6925 = -196*x + 1581*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m = o + 46, 4233*o + 5 = -5*m + 4228*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 506352220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1945, 394.8 in descending order.\nAnswer: 1945, 394.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:54 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1503\/1410995 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29765 * -0.1.\nAnswer: 2976.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, c: 2, w: 3, p: 2}. What is prob of picking 3 r?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5530 - 63*z + 5530 + 4*z - 4*z + 2*z + (0 - 4 + 2)*(-2*z + 0*z - 3*z).\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -658 + 365 - 41*j**2 + 328 wrt j?\nAnswer: -82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 + 5*t**4\/12 - 19*t**3\/6 + 15*t**2. Let q be a(7). Let j(v) = 463*v**2 - 3*v + 1. Is j(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 - -0.02. Let y = m - 0.19. What is the third biggest value in 5, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 135543912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 6. Let t be d(-3). List the prime factors of (-196)\/21*(0 + t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -147507, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 - 2*w - 2. Let r be g(-1). Suppose -1446 - 438 = -r*z. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 22 = -c, i + 1 - 35 = 3*c. Let v(k) = 3*k + 33. Determine v(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a - 28. Let j be v(5). Let w = j - -134. Calculate the greatest common divisor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/6)\/(300\/225*2\/4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50*(-5 + -1)*52\/(-65) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4819510?\nAnswer: 2, 5, 29, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 21111?\nAnswer: -21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-5 + (10 - 3) + -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 10, 86, 2 in descending order.\nAnswer: 86, 10, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30936 + 30953 + 49*s**2 + 3*s + 30939 - 92828 - 3*s.\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**4 - 4*h + 11*h**3 - 5*h**4 + h + 4*h**2 + 7*h**3 - h**4 as o + k*h + i*h**4 + w*h**3 + u*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 21*x**2 - 158*x - 876. Give i(-8).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3952 + -3950. Let k(g) = 19*g - 33. Determine k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 12, 8, 0.3, 2\/17, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 574 + -573.99719. What is z rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 28 = -1. Let t = 107 - 107. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-0.207.\nAnswer: 3.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 35. Suppose -250 = -4*x + 5*t, -14*x + 6*t = -12*x - 118. Let k = x - r. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3096\/42 - 4\/(-14). Sort a, -4, 0.2 in descending order.\nAnswer: a, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*q - 5 = -3, 3*y - 4*q = -10. Find the second derivative of -j + 3*j**5 + y*j + j - 6*j wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9954, -12626, -15298, -17970, -20642, -23314?\n\"Answer: -2672*x - 7282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8123 = 15*m + 1568. Calculate the greatest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -2\/11 (c) 56 (d) -0.7 (e) 2\/15 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2307*s + 4606*s - 2302*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 2, k: 9, j: 2, b: 2}. Give prob of sequence jk.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00419685361 rounded to 5 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3113 + -0.5113. Sort -0.5, -67.3, 4, j in decreasing order.\nAnswer: 4, j, -0.5, -67.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000364643 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-31)\/(-155) + -6*10060\/(-75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 12*p**2 + 14. Calculate the remainder when 55 is divided by i(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -396*t + 392*t. Let j(l) = l + 12 - 11 + 2 - t. Let c(o) = -11*o. What is j(c(h))?\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.6 + -0.6. Let c = 2 - o. Let i = 263.1 - 269.1. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4 - 11 + 0 - 2 + (2 - 3 + 3)*(3 - 3 + 1))*(2 - 1 - 3)*(-64*z + 13 - 13).\nAnswer: -1664*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -0.6, -2163?\nAnswer: -2163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 = 1206*k - 1203*k, -3*g + 2*k + 7 = 0. Let h = 6 + -5.994. Sort g, h, 3\/5, 0.5 in descending order.\nAnswer: g, 3\/5, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209661288?\nAnswer: 2, 3, 1019, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t - 56. Let v be k(16). Let h = v + -33. Suppose -h*x - 339 = 1082. What is x rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -237 + 12*t**3 + 54*t + 87\/2*t**2 + 3\/4*t**4. Factor r(f).\nAnswer: 3*(f + 1)*(f + 2)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404503 + 3*r + 202774 - 2*r + 201729.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 2, z: 1, t: 1, m: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:17 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6911.22884 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 + 2*n**2 - 4. Let f(v) = v**3 - 1. Let z = -19 + 15. Determine z*f(y) + o(y).\nAnswer: y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*x + 4, -5*r + 17 = -x - r. What is the second derivative of -15*j**x + 6*j**5 + 31*j + 15*j**3 - 3*j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258009905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 170594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 3*r**2 - 132370*r + 2*r**2 + 132370*r. Let t(h) = h**2 + 8. Determine -2*a(y) + t(y).\nAnswer: -y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 945 - 777. Suppose -4*v - k + 108 = 0, 5*v + 42 - a = k. Sort -4, v, -2 in descending order.\nAnswer: v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 45 = i. Let b(v) = 3 - 40*v + 8 + 39*v. Let t be b(i). What is the nearest to 1 in t, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-1)*(3 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212314 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 3*l + 3. Let a be y(-3). Suppose a*m = -78 + 249. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 4, t: 3, b: 6}. Give prob of sequence ft.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 33. Let k be 74*(-2)\/224 - (-4)\/14. Which is the second smallest value? (a) k (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.98, 0.17, -0.022?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/350 and 220\/66 - (-9629)\/(-2940).\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 minutes after 3:59 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 21590436542*o**2 + 21590436542*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 124217729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:49 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 379f73?\nAnswer: -379f70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:55 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 51 = 3*y, -y = 2*y + 15. Suppose v + v = i. Suppose v*x - 152 = 7*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (-3 - (-4 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14301.94373 rounded to the nearest 100?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2058.3 - -2058. Which is the nearest to 1? (a) -3 (b) k (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -28*(1564\/5911)\/17. Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose -5*b + 27 = -293. Suppose r - 5*r + b = s. Calculate the smallest common multiple of 20 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (448\/(-40))\/(1\/(-5)). Let i = r - 36. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 6*o - 53. Let a be c(-11). Solve -18 = a*y - 2*q, -2*y - 2*q - 7 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, f: 3, b: 1, k: 4, h: 3, x: 5}. Give prob of picking 1 i, 1 h, 1 f, and 1 k.\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + c - 3. Let p(s) = 3*s**2 - 2. Suppose -b + 10 = -2*g + 3*b, -b = -g - 4. Let q be (-2)\/(4\/18*g). What is q*p(y) - 2*k(y)?\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 40. Let h = i - 10. Solve 3*d + 4*g + 1 = 0, h*g - 32 = -4*d + 3*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 39 + (-7 - 21).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*m + 49*m - 11052. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -13013?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 7. Let p be m(-9). Suppose -2*s + n = -94, 4*s - p*n - 190 = -n. Let o(q) = 3*q**3 - 5*q + 3. Calculate the remainder when s is divided by o(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66113 is divided by 33045.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 1 (b) 0.1 (c) -2\/5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 254476 and 354690.\nAnswer: 80159940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1452202, -2904398, -4356594, -5808790, -7260986, -8713182?\n\"Answer: -1452196*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375*z**6 + z**2 + 38.\nAnswer: -45000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**3 + 14*i**2 - 4*i + 19. Let n(j) = 12*j**3 + 26*j**2 - 7*j + 38. Let c(v) = -7*g(v) + 4*n(v). Determine c(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.46515 milligrams to tonnes.\nAnswer: 0.00000007646515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.114 - 0.014. Let c = -6.92 - 0.08. What is the closest to 0 in k, -0.2, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -17. Suppose 0 = 5*t + 5*x - 120, 0*t - x = d*t - 104. Solve v - t = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622.0803 rounded to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) -2 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19872*k**4 - 2*k**3 - 2*k**2 + 5184*k - 11 wrt k.\nAnswer: 238464*k**2 - 12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 178, 281, 384, 487, 590?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7353 + 9221. What are the prime factors of g?\nAnswer: 2, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmmvxmvmmxmmxmxv. Give prob of picking 1 x, 1 m, and 2 v.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81.0000376 + 81. Round c to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2. Suppose 0 = -3*y + 6*y - 3. Let m(k) = 8*k - 6. Let f(d) = -d + 1. Let t(a) = y*m(a) + 6*f(a). Give t(v(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 6*y = -4*g + 32, -4*y + 4*g = 0. What is the remainder when (-2)\/(-4) + (-65)\/(-2) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10600 (base 9) in base 8?\nAnswer: -15607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 274450.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416561 by 2.\nAnswer: -416561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32802748 and 41003435?\nAnswer: 164013740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*f + 4718, 5*f - 2*f - 6 = 0. Let j be 3334\/6 + (-7)\/(-21). Let d = j + m. Round d to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 25*x - 23 = -14*x, -4*l - 10 = 3*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -265 divided by -265\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2)\/sqrt(11)*-4 - ((-3*sqrt(70))\/sqrt(5))\/sqrt(2).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31228 is divided by 637.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7013473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + -1.44. Let p = -0.5 - s. Let g = -0.1 + 0.2. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipiei. Give prob of sequence eiip.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-19)*g*g\/(g\/g**(-21))*(g\/(g**1\/g*g)*g)**45 assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 + m**2 - 2. Let o(u) = 1. Determine -3*o(y) - r(y).\nAnswer: -4*y**3 - y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w - 2. Let t(q) = -233. Let y(h) = 175. Let k(m) = 3*t(m) + 4*y(m). What is -c(d) - 2*k(d)?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Let m = f + 28. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/100 - 7*p**4\/20 + 31*p**2. Find r such that b(r) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. What is the second derivative of -24*p**g - 10*p + 17*p - 24 - 9*p wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23581 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 10. Let t(d) = 3*d - 20. Let h(n) = 7*a(n) + 3*t(n). Does 8 divide h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lojj when four letters picked without replacement from jolojlljjjrrjjrjoooj.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o. Let v(r) = r - 6*r**2 - 9 + 4*r - 3*r + r**3. Let f be v(6). Let u(d) = 4*d - f*d + 0*d. Calculate u(n(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/33250 and -31\/9778825.\nAnswer: 97788250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u + 10 = 0. Let k = 7 + -5. Let m be 2\/k + 0 + 3. Calculate the greatest common factor of m and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiiciiiiicii. Give prob of sequence icc.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*i - 2*t - 32, -5*i - 2*t = -28. Suppose -i*w = -w - 495000. Suppose 0 = q + 2*q - w. Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5196837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -17. Which is the closest to -2? (a) -4\/5 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {n: 1, b: 1, l: 1, z: 1, w: 2, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -13. Let j be (t - 25\/(-15))\/(1\/24). Solve 4 = -5*z - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1508?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.4 (c) -27.19 (d) 0.23 (e) -0.5 (f) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10267e2 (base 16) in base 8?\nAnswer: -100463742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/(-2 + 4 + -4). Let l = -37 + w. Let r(u) = -3*u - 4. Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 10*i**2 - 12*i + 11. Let x be k(11). Suppose -r + x*j - j + 7 = 0, -2*j = r - 9. Solve -5*p + 4*a = 20, r*a - 16 = 3*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 3*l + 3 = 22*o, 2*o + 3 = -3*l. Suppose 110 = b + 2*c - 248, o = 2*b - 4*c - 692. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 797 - 794. Suppose q*n - 189 = -0*z - 3*z, 0 = -3*n + z + 177. Calculate the remainder when n is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.38 or -0.05066?\nAnswer: -0.05066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -34. Let c = m - 7. Suppose 0*r - 16 = -c*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2148 at most as big as -2146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41622*j**3 - j**2 + 112904*j wrt j?\nAnswer: -249732*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312671 and 688983.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*1*6\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57101, -114203, -171305, -228407?\n\"Answer: -57102*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -640, -229, -4, 7, -3 in descending order.\nAnswer: 7, -3, -4, -229, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 15*t - 45. Give v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/15)\/((-2)\/9). Suppose r*y = -2*y + 3*t + 3117, -3*y = -3*t - 1869. Suppose f + 7*f - y = 0. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohnmhhhiieheeeeoh. Give prob of picking 1 h and 1 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3 - 2 - 2*q**2 + 10*q + q**2 - 2. Let f be r(4). Suppose f + 8 = x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 2*a**2 + 1434*a**3 - 1401*a**3 + 0*a**2 + (-a - 4*a + 3*a)*(2*a**2 + 3*a - 3*a) - a**3 + 4*a**2 - 4*a**2 as g*a + d*a**3 + c + h*a**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8510)\/(-4) - (-5)\/(70\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*r + 21, 0 = -3*c - 2*c - r. Let i be 38\/12 + c\/6. Solve 5 + i = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjnl when four letters picked without replacement from {a: 1, g: 1, l: 1, n: 2, j: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*z - 216 = -0*w, 0 = -4*z - 20. Let q(u) = 38*u - 122. Let r be q(6). Let c = r - w. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/19? (a) 4 (b) -4 (c) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173992510?\nAnswer: 2, 3, 5, 6863, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -13*c + 428. Suppose -10766 = -63*f + c*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by (5\/(-10))\/(2\/(-128)) - -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let w = 4.28 + 0.72. Let l = -2.682 + 2.622. What is the third biggest value in -5\/4, l, h, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90187379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-135)\/(-30)*176\/6 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227429039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24276 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 1565*f**2 - 1142*f - 281104. Calculate z(-783).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**2 - 4 + 2\/3*q**3 + 7*q. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 2*d + 24 - 60.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 2. Let z(y) = -28*y - 22. Let p be z(3). Let c = -637\/6 - p. What is the second smallest value in c, 7, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118*m**3 + 4*m**2 + 967.\nAnswer: 354*m**2 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 698824075, 698824076, 698824077, 698824078, 698824079, 698824080?\n\"Answer: a + 698824074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 93687*x**3 - 93730*x**3.\nAnswer: -43*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225233531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1533, -1545, -1571, -1617, -1689, -1793, -1935?\n\"Answer: -n**3 - n**2 - 2*n - 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n + 45. Suppose f - n = -0*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -188, -185, -172, -143, -92, -13, 100?\n\"Answer: s**3 - s**2 - s - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*m*w**3 + 2*m - 3*w**3 - 2*w**2 + 12*w wrt w.\nAnswer: -1320*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10165540871*c**3 + 20331081735*c**3 - 10165540870*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*d + 4. Let f be ((0 + 0)*d)\/2. Does 22 divide (f - -80)*(-22)\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -387, -318, -237, -150, -63, 18, 87?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425 (base 6) to base 13.\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:26 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -3*r - 94, -2*r - 114 = 5*t. Let o = -18 - t. Let z be -4 + (o + 2 - -4). Solve -11 = -k - z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 3. Suppose 4*o - o - 24 = 0. Let b be w(o). Let r(y) = -y**3 + 7*y**2 + 5. Let v be r(7). Solve -v*k = 2*h - b, 5*h - 2*k = -14 - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14943*s + 7468*s + 7473*s - 79.\nAnswer: -2*s - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104)\/(-13) + 1 - (-2 - -5). Let m(j) = -7*j + 4. Let o(w) = -8*w + 4. Determine c*m(a) - 5*o(a).\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27472 - 447494.\nAnswer: -420022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.469 - 1.269. Which is the nearest to 1\/2? (a) l (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03406 - -0.13406. Put n, 1\/3, 2\/3, -3, -2\/9 in decreasing order.\nAnswer: 2\/3, 1\/3, n, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 14*h + 29.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 33 + 26 + 3*j - 16. Let t be f(-8). Find p, given that -7\/2*p**t - p + 0 - 9\/2*p**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.017 (c) -2 (d) 7 (e) -4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1. Let v(f) = f + 1. Let l be (-4)\/7 - 6\/14. Let a be 6\/(-3) + 0 + 3. Determine a*v(x) + l*z(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 489*p**3 + 12*p - 24*p**2 - 486*p**3 - 12*p in the form x*p**2 + m*p + a + w*p**3 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*p + 18, -5*m + 2*p - 212 + 390 - 229 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302.2 + 292. What is k rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153\/(-357) + (-4)\/((-84)\/219) and 890?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - 74\/(-4). Suppose l - 5*g = -0*g - t, -5*l = -4*g + 6. Let s(q) = 2*q + 2. Calculate s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*n**2 + 0*n - 94*n**2 + 52*n**2 - 2 + 0*n.\nAnswer: 20*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1 = -4*v, -5*v - 9*b = -5*b + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -b7?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghjj when four letters picked without replacement from jjjgjghggj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 3*a + 29, -164*x = -158*x + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*x - 81 = 0, -4*c + 2*x = -123 + 33. Let z = -11 + c. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Suppose 0*c = -4*c - 8. What are the prime factors of 0 + (m*c - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388833761 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/520930 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1121 - 5.4468.\nAnswer: 1115.5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4\/3, 14.2, -0.2, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385186103.\nAnswer: 3, 7, 449, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1321 in 4, -0.08, -0.857?\nAnswer: -0.857","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtfffftjjj. What is prob of sequence fj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1859 + -1835. Solve a = -2*x + 10*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*(-6)\/4*2. Let m(t) = 3*t**3 - 20*t**2 + 11*t + 5. Let x(z) = -z**3 + 7*z**2 - 4*z - 2. Let p(l) = -3*m(l) - 8*x(l). Calculate p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/17))**(-2\/7))**25 assuming s is positive.\nAnswer: s**(-750\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -59262 greater than or equal to -59262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -2. Suppose 0 = z - r*z + 3. Calculate the least common multiple of z and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -996*z**3 + 7541*z**2 - 12735292*z.\nAnswer: -5976*z + 15082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + -84. Is -1 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13641 and 135?\nAnswer: 13506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/5 - 89748084*s\/5 + 1006839822708882\/5 = 0. What is s?\nAnswer: 22437021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 56, 0.1 in decreasing order.\nAnswer: 56, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1195.0033 to the nearest ten.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15616452 to the nearest integer?\nAnswer: 3952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8989 minus -2?\nAnswer: -8987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17550.999962855 + -17551. What is a rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 34575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274155064 = -540*a + 68*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 728648876 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-304)\/(-24))\/(1\/3). Suppose 0 = 5*o - z - 12. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 - u**3 + u**3)*(3 + 5 - 1) - 2*u**3 - 4*u**5 - 40814 + 40814.\nAnswer: 3*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 10:58 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/m**(-5)*m**2*m*m*m**(-1))**14 assuming m is positive.\nAnswer: m**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 3 - 3)*(-3225*z**3 + 6453*z**3 - 3216*z**3 - 2) as p*z**4 + j + b*z + m*z**3 + r*z**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15565, -15564, -15563, -15562, -15561, -15560?\n\"Answer: r - 15566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -603 - -1811\/3. Which is the second biggest value? (a) d (b) -2\/43 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 67*m**3 - 24*m**3 - 31*m**3 to the form p + l*m + w*m**2 + i*m**3 and give i.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 20\/9 + 190\/(-45). Let u = 0 + 0.02. Let v = 4.98 + u. Which is the nearest to -1\/2? (a) v (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q + 2*n - 138 = 0, 0 = -q - n + 30. Let h = 53\/2 - q. Factor -h*a + 0 + 1\/2*a**2.\nAnswer: a*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1076, 1075, 1074?\n\"Answer: -t + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 - 918*o - 502. Let b be p(84). Factor -12\/11 - b*a - 2\/11*a**3 - 12\/11*a**2.\nAnswer: -2*(a + 1)*(a + 2)*(a + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y + 7. Let f(h) = 4*h**3 - 1. Let q be f(-1). Let x(a) = -6*a - 6. Let r(n) = q*w(n) - 6*x(n). Let v be r(4). Solve j = -3 + v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 - 8*p - 17. What is y(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -14*q + 110. Suppose 208 = q*z - 7*z. Let a = z - 47. Solve a*s - 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 154, 157?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 2 + (-2 + sqrt(3))*-2.\nAnswer: 6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 9*f + 10*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 5. Differentiate a - 6*k**2 + 10*k**2 + 7*k**2 - k + 17*k**2 with respect to k.\nAnswer: 56*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*1)\/((-309)\/(311472\/(-1440)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/46 (b) 1 (c) -0.03 (d) -9 (e) 132 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -628 + -906. What is the common denominator of (((-59)\/7)\/1)\/(552\/(-322)) and 2\/10 - z\/(-120)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13521717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16495967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71198410 to the power of 1\/2, to the nearest integer?\nAnswer: 8438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1979093, 3958198, 5937301, 7916402?\n\"Answer: -j**2 + 1979108*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from llcllcllll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 2, m: 2}. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**12*k))**(-1\/46)*k\/(k\/k**(6\/17))*k**13 assuming k is positive.\nAnswer: k**(5340\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s. Determine b(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 735879278 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/3*(-1680)\/(-448)*(-5)\/(-25)*4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8\/5)*x*x*x**14 assuming x is positive.\nAnswer: x**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 17*g - 491. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -13*k**6\/360 - k**4\/24 - 28*k**3\/3 + 29. Let n(i) be the third derivative of s(i). Determine n(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/3)\/1)\/(4\/(-2))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhbh when four letters picked without replacement from {b: 4, h: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 216?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -53*n - 672. Let h be z(-15). Solve -162 + h = 13*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52045993 and 1054.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 50 + 4*d - 137 - 2*d. Let a(k) = -2*k**2. Determine r(a(x)).\nAnswer: 2*x**2 - 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-430)\/6)\/((-9)\/(-54)). Round o to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 248. Calculate b(60).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, e: 4, k: 3}. What is prob of picking 1 e, 1 i, and 2 k?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 3*l + 2. Let i(q) = q**2 - 3*q + 2. Determine 5*i(x) - 6*r(x).\nAnswer: -13*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682 divided by -8.\nAnswer: 341\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14740 (b) 27.9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/20*1432335\/(-4428). Let r = -49\/3 + p. What is the common denominator of -17\/160 and r?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (0 - 1)*2 - (7 - 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -47 (b) -2\/5 (c) -2\/13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z - 5*w + 14 = 0, 0 = -w + 2. Let g(l) = -l**2 + 37*l - 340. Let u be g(18). Sort u, 1, z in descending order.\nAnswer: z, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140388 divided by 6?\nAnswer: 23398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*q - 30 = -423*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 6 = -3*l. Suppose 4 = -3*y - l. Do y and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 1 + a + 2*a + 6 - 4. Let n be b(-3). Solve 5*u - x = -4*x - 10, -5*u + n = -x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/97 (c) -0.132 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6*n**2 + 1 - 289*n**2.\nAnswer: -295*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 21. What is the lowest common multiple of 27 and a + (-231)\/(-12) - (-2)\/(-8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99384 and 909?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**3 - 4*q**2 - 8. Let p(k) = k**2 + 2. Determine -o(z) - 4*p(z).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d)*(-d - 4*d + d) + 295*d**2 + 397*d**2 + 466*d**2.\nAnswer: 1150*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 295765868 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 7*h + 1. Let v be m(-5). Let a(t) = t**3 - 7*t**2 - 2. Let z be a(7). Is 0 - v\/(-5 - z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:22 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -123*f + 1. Let z(w) = 185*w - 2. Determine -8*i(s) - 5*z(s).\nAnswer: 59*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2905 = 70*a + 1505. Solve 38*k = a*k - 26*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273 + -268. Solve 4 = 5*h - 21, v*p - 2*h = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6876, -14099, -21274, -28377, -35384, -42271, -49014?\n\"Answer: 4*v**3 - 7251*v + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 + 120219*s**4\/7 - 154596*s**3\/7 + 4908*s**2 = 0. Calculate s.\nAnswer: -5726, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 45 + 55 = -r, 5*r = -4*d - 34 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 7. Let s be d(5). Let p be 9\/s*14\/21. Suppose 0 + 2\/3*l + 1\/3*l**p - l**2 = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 244?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -55ba (base 12) to base 15\nAnswer: -2c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyd when three letters picked without replacement from yyydyydy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-993 + 21 + 61)*(2*x - 2*x**2 - 2*x) - x**2 - 2*x**2 + x**2.\nAnswer: 1820*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*o - 171, 2 + 4 = 3*o. Suppose -5*c - 181 = -4*j - 6, 4*j - 210 = -2*c. Let g = j - a. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - 1 + 50*o**2 + 2*o**3 - o - 50*o**2 in the form a*o**3 + f*o**2 + j + z*o + d*o**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*s - 4 = -12, -4 = s. Suppose -f - f = -m. Suppose h - p - 336 = -4*h, -2*p - 60 = -h. Calculate the remainder when h is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 30. Solve k*f = 5*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6408, -2, -70 in ascending order.\nAnswer: -70, -2, 6408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-36)\/39)\/(50\/(-325)))\/2. Put 1, a, 84, -1, 5 in descending order.\nAnswer: 84, 5, a, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257600.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5666 is divided by 820?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q - 3*v, -3*q - 3*v = 3. Let k = 3 + q. Suppose -4*t + 3*t + 3*c + 20 = k, -5*c - 52 = -4*t. Solve -t = -4*h - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53796 is divided by 8958.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3792645 is divided by 474079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8608.1 rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 4*j = 28 - 134, -5*u + 5*j = 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-16)*538*2. Let h = g - -343. Is h a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-552)\/(-1242)*6\/28. What is the closest to 45 in 0, -2\/17, g, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = 2*z + 4*m - 6*m, 0 = -z + 4*m + 269. Let c = -168 + z. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 631 = -52*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6576*(12\/(-4))\/9?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-2)\/6)\/(-9 - -5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*b - 744 = 0, -3*n + 3815 = -5*b + 1527. Suppose -22*g + n = -24764. What are the prime factors of g?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906, -1787, -2666, -3543, -4418?\nAnswer: -5291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let m = -3 + v. Let t = 204 - 203.8. Which is the smallest value? (a) m (b) 2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*o = -418*o + 265*o + 13313378. List the prime factors of o.\nAnswer: 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:51 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*k**5 - 43567*k**4 + 14908794*k + 2 wrt k.\nAnswer: -700*k**3 - 522804*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1\/3*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12223 (base 4) to base 13.\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:16 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10451609*t + 20903227*t - 10451631*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - t - 82 = 0, -59 + 199 = 28*t for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 757 and -0.317.\nAnswer: -239.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - 29. Let i(l) = l**3 - 5*l**2 + 16*l + 33. Let c be i(10). Calculate the greatest common divisor of o and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55386 and 38548656?\nAnswer: 38548656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.787991 milliseconds?\nAnswer: 0.00002979985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 694*z**4 + 2*z**3 + z + 18625.\nAnswer: 2776*z**3 + 6*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -4 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 5*b + 2. Let g(w) be the first derivative of -w**4\/4 + 7*w**3\/3 + 15*w**2\/2 + 7*w - 4477. What is -4*g(f) + 14*i(f)?\nAnswer: 4*f**3 + 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 3 (c) 11\/2 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048321 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-27)*(-3504)\/(-365))\/(2\/(-6)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74463 is divided by 1657.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 42*g - 443. Let c be n(11). Solve 21*y = -c + 124 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 7*a**2 - 21*a + 21*a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*f + 145*f - 423 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:44 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) -0.52 (c) -2\/3 (d) 7.094 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/36 - ((-13)\/3 - 1). Is 2\/(x\/2385) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 9*f**2 + 4*f**2.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 greater than or equal to -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1262704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1 + 3 + 27*x + 18*x + 17*x - 9*x. Let h(d) = d**3 + 5*d**2 + 5*d + 5. Let u be h(-4). Is 5 a factor of f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.8. Let s = -1 + c. Let f(i) = -i**3 + i**2 - 1. Let y be f(-1). Sort 4\/3, y, s in ascending order.\nAnswer: s, y, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -14116.22?\nAnswer: -14116.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*d = 2*d - 4, 6 = -2*z + 3*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = -27*k + 34 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c + 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 43, -0.4, 0.5, 4000, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/36 and 47\/678664.\nAnswer: 6107976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 320 + -4798\/15. Let k = 1 + 1. What is the closest to k in -1\/3, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d + 40. Suppose -j = 4*j - d. Suppose j*a - q = 5*a - 17, a - q - 7 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11156495 divided by 485065.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i**3 + 0 + 0*i - 1\/30*i**5 - 31\/24*i**4 - 19*i**2. What is the second derivative of g(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56060007 and 101604.\nAnswer: 224240028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 180613255.\nAnswer: 90306627.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4285144.\nAnswer: 2, 197, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**2\/2 + 372. Let d(p) = -111*p**2 + 1. Give t(d(q)).\nAnswer: 111*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 - 1c55?\nAnswer: -1c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3055558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 885, 1774, 2673, 3588, 4525, 5490?\nAnswer: 6489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21480472 and 37590826?\nAnswer: 150363304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976*m**2 + 76*m**3 + 2 - 11*m**3 - 2 - 983*m**2 - 393*m**3.\nAnswer: -328*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*21\/(-24)*(-576)\/3360?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**3 - j**2 - j + 1. Let x = -19 + 21. Suppose x = 3*n - n. Give q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 - 208*m - 992. Give x(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.6982 less than 1?\nAnswer: -99.6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-7) + (-22)\/(-14). Let x(l) = -3 + l + g + 1. Let t(v) = v. Calculate t(x(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -8646?\nAnswer: 8651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -398345.4 + 398347.8999895. Let u = -2.8 - -0.3. Let j = u + w. What is j rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 1\/294450 (c) 21\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-15))\/(r*r**(-14)))**(3\/4) assuming r is positive.\nAnswer: r**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (31 - (-29 + -39)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 10*i - 127. Calculate the remainder when 100 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*((-40)\/(-20))\/10*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 1:24 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47560 and 0.9.\nAnswer: 42804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 62 = -4*i, 28 = 2*i + 4*m - 3*m. Factor -418*x**2 + 66*x + 421*x**2 + 48 + i.\nAnswer: 3*(x + 1)*(x + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (9 - 5)) + 3 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6)*-2)\/((-23)\/(-23)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 619*i*q**3 + 4*i + q**2 + 13*q wrt q.\nAnswer: 3714*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6359203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 + 115 - ((0 + -3 - -1) + -4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30943102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*l**4 + 4*l**3 + 11*l - 13186?\nAnswer: -68*l**3 + 12*l**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**3 - 9*n**2 - 7*n + 2. Suppose -y - 14*y + 30 = 0. Let h(o) = -3*o**3 - 9*o**2 - 8*o + 2. Let z(s) = y*a(s) - 3*h(s). Calculate z(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -37*z - 375. What is s(-9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115027793, -230055591, -345083389, -460111187?\nAnswer: -575138985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -23*y - 29. What is j(18)?\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5454 and 75750.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-609)\/(-29))\/(-168)*(-208)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:00 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*m - 51 = 806*m - 204 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -289678 (base 10) in base 2?\nAnswer: -1000110101110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-1 + 11))\/((-1)\/(-2)). Let i = -299 - -304. Let l = 7 + -11. Which is the nearest to 0.1? (a) l (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -683119 + 18?\nAnswer: -683101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - 3*q + 6. Determine l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7 + z**2 - 2*z**2 - 1 - 4*z + 1. Let d be l(-6). Let a(w) = -w**3 - 4*w**2 - 3*w - 1. Is a(d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 849522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t - 4. Let y(q) = -q**2 - q - 1. Let s be y(-2). Let r(a) = -9*a - 3. Let u(b) = s*k(b) + 4*r(b). Let d(m) = 2*m**2. Determine d(u(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 0*c + 6*c**2 - c)*(-3*c**2 + 6*c**2 - c**2).\nAnswer: 2*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 2*r**3 + 4*r**3 + (-2*r**3 + 3*r**3 - 3*r**3)*(1 - 2 - 1) - 6*r**3 + r**3 + 4*r**3 + (-2*r - 2*r + 2*r)*(r**2 + r - r) - 3*r + 3*r - 2*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9325078 years to decades.\nAnswer: 0.09325078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(((-15)\/6)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 5*n - 1. Let b(x) = x - 12. Let r be b(7). Give k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 6*x**4 + 7*x**3\/3 + 3*x**2\/2 - 7*x - 4. Let w be r(-5). Let y = -1532 - w. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114981246?\nAnswer: 2, 3, 67, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u - 4. Let z be (u - -603) + (-1 - 0). Suppose 16*g = 14*g + z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:09 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65089855 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -11. Let d be 2\/6 - s\/(-3). Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 196 - 2358. List the prime factors of t.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 15. Let q(u) = 3*u**2 - u - 1. Is q(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 111*d\/2 - 460.\nAnswer: (d - 8)*(d + 230)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -871 not equal to -2\/71915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:38 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 1, z: 3}. Give prob of picking 1 a and 3 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9796494 rounded to three dps?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/17, -0.3, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*j**2 + 50*j - 6 = 0. What is j?\nAnswer: 1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:21 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 201129310.97 rounded to the nearest 10000?\nAnswer: 201130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l = -35*l - 6. Let f be ((-2)\/(-2))\/1 + -1. Suppose f = -l*a - 4 + 1. What is the closest to a in 2, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(5\/2 + -3). Suppose 22 = 2*o - 2*c, -x*o + 4*c - 3*c + 25 = 0. What is the first derivative of 6*z**2 - 5 - 12 - o*z**2 wrt z?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 20. Let c = 8 - 5. Suppose -c*i + o*i = 10. Solve -i*p = -3*x - 4, -2*p - x + 4 = -6*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -151*m + 277*m - 128*m. Let d(j) = -124*j + 2. Determine d(g(z)).\nAnswer: 248*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20088940839 - -4.\nAnswer: -20088940835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/300 - p**4\/60 + p**3\/10 + 4*p**2 - 12*p. Let t(u) be the first derivative of s(u). Factor t(y).\nAnswer: -(y - 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 11*t = -13*t - 10, 2 = 2*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000470736 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4311824358?\nAnswer: 2, 3, 718637393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 632691683.\nAnswer: 632691678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1439 - -2701. List the prime factors of u.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -4 + 6 - 19*s**2 + 5. Let r(i) be the first derivative of i**2\/2 + 336. Give w(r(o)).\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 2. Let u(k) be the third derivative of k**4\/12 - k**3\/2 + 6*k**2. Let p(x) = 3*i(x) + 2*u(x). Give p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {u: 1, d: 2, y: 5, w: 4, s: 5, o: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 3)*(1 + 3*f - 1)*(-56*f**2 + 33*f**2 - 43*f**2)*((4 - 3 - 3)*(-3 + 2 - 1) + 1 - 1 - 1)*(4 - 3 + 1).\nAnswer: -7128*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86.6 + -85.3924. Let i = 1.7879 + b. Let j = -3 + i. What is j rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 130*h**2 + 1308*h + 9. Calculate i(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 19 = -t, 3*z - t - 38 = 9. Calculate the least common multiple of (-3 + 46\/z)*21 and (2\/6)\/(2\/48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 134974*h. Let o(l) = -15*l. Give o(f(a)).\nAnswer: -2024610*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39732630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 503 + -209. Let s = m + -175. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**3 - d**5 - 5*d**3 + (4*d**2 - d**3 - 4*d**2)*(1 - 1 + d**2).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 507, 566, 679, 864, 1139?\nAnswer: 1522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73830 and 729.\nAnswer: 17940690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k, -2*k - 20 = -2*w + k. Suppose 4*j - w = 2*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/12 - 5*x**2 - 9*x. Differentiate h(r) with respect to r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - q**2 + 2*q + 2. Let w be m(-1). Calculate the remainder when 12 is divided by w\/(-5) - (-615)\/75.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 23*a + 37*a + 485 - 473. Is 11 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -95511949 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-92)\/(-12). What are the prime factors of ((-57)\/12)\/((-2)\/w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/6 - 3\/(-9). Let v(l) = o*l**2 - 10 - l**3 + l**3 + 3 + l**3. What is the tens digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 29*f**2 + 16*f + 16. Let g be l(-15). Let b(x) = 9*x**2 - x + 2. Give b(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + -7.13. Let y = 2.8 - 3. Let u = y + a. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 2*y - 1504. Which is greater: -93 or y?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235699 + 364866. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.3. Suppose 2*d = 7 - 1. Which is the nearest to q? (a) 5 (b) d (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c (base 16) to base 12.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2419162, 4838316, 7257470?\n\"Answer: 2419154*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5723 divided by 3.\nAnswer: -5723\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1396 - 1395. Which is greater: q or -773?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -4424?\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19738.\nAnswer: 2, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {y: 1, v: 1, i: 1, b: 2, g: 2, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 13*m**2 + 5. Let t be i(13). Suppose -5*j = -20 + t. Calculate the lowest common multiple of 10 and (j - (-14)\/6)*3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68\/35 - -542\/315. Let r = 19 + -28. Put -3, r, k in increasing order.\nAnswer: r, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((68 - (-35 - -46)) + -8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/15)*w*w**(-10))**(2\/135) assuming w is positive.\nAnswer: w**(-232\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84213757 and 1970?\nAnswer: 842137570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 45*t**2 - 3*t + 3. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234204120 - 3?\nAnswer: -234204123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 1 (b) 1469 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + r + 4 + 6)*((0 - 4 + 2)*(23*r**2 - 83*r**2 + 24*r**2) - r**2 - r**2 + 5*r**2) in the form j + l*r + o*r**2 + d*r**3 and give o.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -119.94.\nAnswer: -2518.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 6*p + 3*p + (-3*p - p + 6*p)*(-4 + 1 - 1) in the form n + k*p and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.82 + -15. Let g = 1 - 0.799. Let u = g + i. Round u to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from nnxxppnccn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-9 + 17) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 93.15861ms?\nAnswer: 93158610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.4427881 to the nearest integer.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, j: 8, x: 2}. What is prob of picking 4 e?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 11 - 1 = u, 5*n + 39*u - 15*u - 19*u = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -687*o**2 - 685*o**2 - 4*o**3 + 2760*o**2 + 2*o**3 = 0.\nAnswer: 0, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)*r**(4\/9))\/(r**(-1\/3)*r)**(2\/47) assuming r is positive.\nAnswer: r**(-3631\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6706415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 - 4 = 0, -4*v + 2*w = -8. Let l be 2 - v\/(-2 + -1). Solve l*x + 4*a = -2*x - 16, -3*x - 5*a = 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - f**2 + f + 6. Let g(z) = 2*z**3 - 20*z**2 + 25*z + 56. Let d be g(8). Determine q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2. Let q(m) = -m + 8. Let x be q(6). Let f = 4 + 110. Let z(a) = -3*a + 2*a - 218 + f + 123. Give x*z(j) + 18*n(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3002 (base 4) to base 8.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of (-27)\/9*78*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26841 and 1242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49\/9 - 16\/3. Which is the closest to -1? (a) m (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**2*z**2 - 3*q**2 + 43*q*z**3 + 91*q wrt z.\nAnswer: -16*q**2*z + 129*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122199, 244424, 366649, 488874, 611099?\nAnswer: 733324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23 - (-1 + -2 - -2 - -4). Suppose -u + 5*u - i = 0. Let x(c) = -c + 1. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3693 + 3735 = -6*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 + 158*v + 2*v**4 + 62 - 153 as y*v**4 + z*v + r + m*v**3 + h*v**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -116, -240, -364, -482, -588, -676?\n\"Answer: c**3 - 6*c**2 - 113*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269 = -246*o - 39 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 169747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/2 or 52?\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**3\/6 + 13*f**2\/2 - 3*f. Calculate the remainder when g(0) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.67935 and -20.\nAnswer: 53.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/30 + 21*j**5\/20 - 23*j**3\/3 + 43*j. Find the second derivative of o(k) wrt k.\nAnswer: -12*k**2 + 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 1, -3\/272, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 15. Let f be g(12). Let v = 12 + f. Solve -3*b - 16 = 3*r + b, 2*r - 12 = v*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:59 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 2*s - 2*s)*(-4*s**2 - 2*s**2 + 5*s**2) + 0*s**3 + 2*s**3 + s**3 + (5*s - s - 3*s)*(-s**2 + 2 - 2) to m*s**2 + v + h*s + i*s**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-1)\/((-4)\/(-24)). What is the tens digit of a + (-1)\/(-5) + 8954\/55?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -194, -317, -406, -443, -410?\n\"Answer: 3*g**3 - g**2 - 141*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*b + 47 = 0, 5*q = -3*b + 13 - 52 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4568)\/(-14))\/(496\/22568)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.54999901 + 0.55. Round y to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/7 + 1578434*b\/7 - 12627344\/7 = 0.\nAnswer: 8, 789209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, 0.4, 2\/7, 3.3771, 0.5, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m - 52 - m**2 - 104 - 338*m - 126*m.\nAnswer: -m**2 - 440*m - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -24. Let w be g\/(-1 - (-3)\/6). Suppose 2*u - 2*a + 2 = 0, u = 3*a - 1 - 10. Solve 2*d - u*z = -0*d + w, 5*z + 31 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 469\/(-21))\/(11 - (-3686)\/(-342))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 127?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139.81 - -138. Let o = n + 1.8. Let q = o + -0.39. Put q, 0.2, -3 in decreasing order.\nAnswer: 0.2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-152)\/(-114)*1\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 189*h**2 - 96*h. Let v(j) = 126*j**2 - 63*j. Let p(f) = -5*k(f) + 7*v(f). What is the second derivative of p(m) wrt m?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6575\/3156*24\/(-15).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 7:30 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2. Let d be (-12)\/(-15)*5\/2. Let l(n) = 4*n. Let a(r) = -r. Let g(h) = d*l(h) + 6*a(h). Determine g(i(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829526503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 21 = 5*k + 52, 18199*k - 5*r + 0*r = 18195*k + 90 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 20 = -8. Let w(z) = -3*z - 4. Let b(r) = -r - 1. Give y*b(x) + w(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 + 2*u**3 - 6*u**3 + 0 + 0 + 4*u**3 + (0 - 1 + 3)*(-u**3 + 3*u**3 + u**3) - 2 + 2 - u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4384*n**2 - 50936*n**2 - 7380*n**2.\nAnswer: -62700*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -148*(20\/(-16) + (-9)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/12 + 8*h**3\/3 - 7*h**2\/2 - 7*h. Let g be z(14). Let a be 4 + (-177)\/g - -4. What is the biggest value in -1\/2, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*p = 42 - 20, 2*p - 27 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17578038.9 * -0.1.\nAnswer: -1757803.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 - 5*o + 4. Suppose 0 = -2*c + 5 + 5. Let x be l(c). Suppose 0 = u + x. What is the second biggest value in u, 0.5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**3 + 1116188*h**2 + 77915759680*h + 6770225299200 = 0.\nAnswer: -139480, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -535.8, 20, -1\/5, -5, 0.09?\nAnswer: -535.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/6, 3\/8, -0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:15 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -0. Suppose -p*l = -0*l. Let r = l - -17. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 6*z - 4*w, 2*w + 1 = 4*z + 23 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 760.77 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -12. Find u such that 2\/5*u**5 + 0*u - 2\/5*u**3 + 2\/5*u**c - 2\/5*u**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94928 = 69*k + 96722 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 3*m**2 + 3*m - 4*m**2 - 2*m)*(-8 + 7 + 15)*(2 - 2 - 5*m).\nAnswer: -70*m**5 + 70*m**3 - 70*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015534 rounded to six dps?\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 7, o: 4, g: 6}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 666093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115573742*j**3 - 115573741*j**3 - 7*j + 14*j - 7*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302440 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -37, -22, 21, 98?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = -4*x - 18656. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351 - 4816*l**2 + 148 + 2408*l**2 - 2203 + 2409*l**2.\nAnswer: l**2 - 2406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 10*x**2 - 11*x + 66. Calculate t(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/34)\/((-4)\/(-32))*(-98)\/(-392).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6242 - 372*q - 6242 + (6 - 3 - 1)*(3*q - 3*q + q) + 1 + q - 1)*(0 - 2 + 0)*(20 - 5 + 16).\nAnswer: 22878*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05984 and 0.1.\nAnswer: -0.005984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2485148 is divided by 2605?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 + 9*o - 4. Let n be p(8). Suppose 5*r + 276 = -n. What is the common denominator of -93\/2 and 9\/r*(-172)\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11560, 22826, 34092, 45358?\n\"Answer: 11266*q + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 1521432?\nAnswer: -1521352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.8 - -21. Let j = t + -4. Suppose 0*g + 16 = 4*g. Which is the nearest to 0? (a) j (b) g (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*o**3 + 731728*o**2 + 3135736*o + 836192 = 0. What is o?\nAnswer: -52262, -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 515 = -491 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -56, 41 in descending order.\nAnswer: 41, 5, -8, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m. Let r be 5\/2*20\/(-10). Let t(f) = -6*f. Let q(o) = r*d(o) + 2*t(o). Let h(k) = -55*k**2. Determine h(q(p)).\nAnswer: -220*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 7, n: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, l: 4, z: 2, j: 1, b: 2}. What is prob of sequence zbbx?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 less than 0.45?\nAnswer: -451.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:14 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 382032 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928261.\nAnswer: 29, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2134861 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -514, -786, -1312, -2176?\nAnswer: -3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-37 + 38)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -4, 7, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*w - 297*w + 27621 = 229*w + 41*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30\/4027 + 31826\/52351. Factor 8\/13*c - 2\/13*c**2 - h.\nAnswer: -2*(c - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -151 * 1.1\nAnswer: -166.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - a - 1. Let c(l) = -l**3 + 17*l**2 + 3*l + 1. Let p(f) = -c(f) + 4*x(f). What are the prime factors of p(13)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890\/2100*(-100)\/(-570)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -19, -65, -139, -247?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 9) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1330 + -2?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3504567, -3504539, -3504495, -3504429, -3504335?\nAnswer: -3504207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**3 - 2*l**2 - 2. Is m(2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6))\/i**(-2\/5))**(-5\/4) assuming i is positive.\nAnswer: i**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 2*w**2 + 2*w - 16. Let k be x(-6). Suppose -2632 = 25*f - 9132. Is f smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2646.99 to the nearest ten.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*15187.3\nAnswer: 31893.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - 3*u**4 + 2*u**4)*(-4 + 2 + 3) - u**3 + u**3 + 2*u**4 + (-6*u**2 + 2*u**2 + 2*u**2)*(-u + u - u**2).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z + 4*i, 5*z - 2*i + 5 = 2. Which is the smallest value? (a) -0.2 (b) -14 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + o. Let b(l) = 2*l**4 - 7*l**3 + 29*l**2 - 21*l. Let c(a) = b(a) + 5*y(a). Factor c(x).\nAnswer: 2*x*(x - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 100. What is f(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2691, 2007, 13.\nAnswer: 13, 2007, 2691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49, -135, -321, -643, -1137, -1839?\n\"Answer: -6*u**3 - 14*u**2 - 2*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 3*v + 2. Let a be q(-2). Let w be -2*14*2\/a. Let k(u) = -u + w + 6 - 13. Let d(x) = -x. Calculate d(k(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1\/2*q**2 + 0*q + 7\/10*q**5 - 24 + 3\/8*q**4 + 1\/4*q**6 - 1\/2*q**3. Find g such that m(g) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4645 and 15?\nAnswer: 13935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1742*v + 48920. Let a be z(28). Suppose 69 = -2*p + 177. What is the greatest common divisor of p and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -672 - -671.9. Which is the second biggest value? (a) 2\/3 (b) -0.011 (c) u (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wugl when four letters picked without replacement from {r: 3, f: 3, g: 3, l: 4, w: 1, u: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021044 is divided by 211.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - s. Let g(b) = -18*b**3 + 0*b + 4*b - 26*b**3 + 0*b + 22*b**3. Determine -g(x) - 4*k(x).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = -4*v, 3*v = 4*l - 3*l + 13. Let w(i) = -i - 3. Let p be w(-8). Find the third derivative of 2*r**5 + 0*r**2 - 6*r**p - 5*r**2 + r**l wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t**3 - 6. Let b(d) = -12*d**3 - 5. Let m = -20259 + 20257. What is m*z(c) + 3*b(c)?\nAnswer: -14*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78 - 2612799?\nAnswer: -2612877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 + 2*z**2 + 6*z - 4. What is q(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3103223 - -1103120?\nAnswer: -2000103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -3. Let m = 16 + o. Find the second derivative of 20*u**4 + 3*u**2 - 15*u**4 - 3*u**m - 5*u wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 85. Suppose 0 = 5*y - 15 + u. Let j(z) = -z**3 - 8*z**2 + z + 8. Give j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046465474 rounded to five dps?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -262*h + 18354. Calculate n(70).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 21*k**2 + 54*k - 28*k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15954192 less than 4.8469?\nAnswer: 15954196.8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffveeffffcfwcvefccf. What is prob of sequence cfee?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 53790445?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let l(n) = n + 6 - n**3 - 36*n**v + 0*n + 31*n**2. Calculate l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 1 = -3*b + 4*a, 0 = -2*b - 2*a + 2. Sort 3, 0, 1, b in ascending order.\nAnswer: 0, 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**22\/v))\/v)*v**(-6))**(-18) assuming v is positive.\nAnswer: v**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 12:39 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 + 5*h - 4. Let y be t(-6). Suppose -2*p = y*p. Let i be (p - (1 + 2)) + 3. Solve g - 8 = -3*g - 4*r, -5*g + 4*r + 28 = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/10 - -1*3. Which is the smallest value? (a) -0.4 (b) m (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 17 = a, 110*a - 105*a + 13 = -s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) 9 (d) -9 (e) 6.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2202551, -2202553, -2202557, -2202563?\nAnswer: -2202571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -402185 (base 13) in base 7?\nAnswer: -15443366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o - 10. Let p(v) = -25*v + 60. Let q(h) = -35*c(h) - 6*p(h). Let f(a) = 3*a - 3. Determine 14*f(l) - 4*q(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 86. What is the third smallest value in f, 1\/4, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - b + 1. Let x be i(1). Let l(s) be the third derivative of s**4\/6 - 17*s**2 + 7*s. Give l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290798 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 + 69*u**2 + 28*u - 285. Let t be f(-34). Which is the third smallest value? (a) 1\/3 (b) t (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + n**2 - n - 1. Let o(k) = -33*k**3 + 7*k**2 - 2*k - 3. Let s(i) = -o(i) + 2*t(i). What is the third derivative of s(h) wrt h?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -3.11. Let v = 0.4 + -0.3. Let z be ((-1)\/(-2))\/((-5)\/(-10)). Which is the closest to z? (a) -0.4 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0. Let y = -1169.283 + 1170. Let n = 0.083 + y. Which is the third smallest value? (a) n (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55029.\nAnswer: 3, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2)*-2)\/(54\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(-10 + 3)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 4313.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533313?\nAnswer: 3, 11, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1925 - 1908. Suppose 253 = q - 191. Suppose 0 = s*y - 5*y - q. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -134, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7116*q**3 - 2*q**2 + 3*q + 28. Let c be t(-4). What is c rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 126, 193, 260?\n\"Answer: 67*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 11. Let t be (-1 + 23)\/((295\/10)\/59). Let r = b + t. Solve 0*m + r = 2*a - 2*m, -2*a - 3*m = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 13. Let t = 20 - a. Let s be -1 + -2 - 80\/(-25). What is the closest to 1 in 5, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f**2. Let b(r) = r**2. Give b(k(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672711 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6*y + 3. Let q be p(-6). Let v be -540 + -2 + q + -1. Round v to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726963937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:30 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -309586 * 0.0634.\nAnswer: -19627.7524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhvduuuivdhuxddd. What is prob of sequence vdi?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 = -z. Let c be (-5 + z)\/3 + -20. What is the remainder when (30 - 0)*(-7)\/c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -22 (c) -0.06 (d) -3 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -255200 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30455 + 13?\nAnswer: -30442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = -4*s + 3*y, -1 = 5*y + 4. Let k = s - -501\/4. Calculate the common denominator of 0 + (-135)\/20 + (-10)\/15 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462 and 98?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j + 35. Let a = -24 + j. What is the remainder when a is divided by (2\/(-5))\/(2\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 994733*i**3 - 38*i**2 - 782*i - 63050?\nAnswer: 5968398*i - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 202, 1519, 4724, 10639, 20086, 33887, 52864, 77839?\n\"Answer: 137*u**3 + 122*u**2 - 8*u - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -4*h - 4*k + 4 = h, -3*k - 24 = -3*h. Suppose -4 = -3*y - 2*l, h*y - 5*l + 4 = -10*l. What is the nearest to 1 in -5\/2, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042172405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1237\/34 + 117\/17. Let k = 29 + s. What is the closest to 0.3 in 3, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2*a**3 - a**2)*(1 - 1 - 2) + 15*a**3 - 6 + 24*a**3 + 19*a**3 - 2*a**3 - 4*a**3 - a**3.\nAnswer: 55*a**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 3*x - 64. Let j be c(0). Let b = 62 + j. Calculate the common denominator of -1*(-192)\/(-27) + b\/9 and 47\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*sqrt(153))\/sqrt(9).\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) 10 (b) -43\/27 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41206?\nAnswer: 2, 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:48 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 26*m - 3150. Let v be 14\/(-4)*-5*140\/m. Calculate the greatest common factor of 112 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/693 and 41\/51849?\nAnswer: 570339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 167, -8, -4, 95.\nAnswer: -8, -4, 3, 95, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*y + 7806 = 0, 4*o + 0*o - 15602 = -2*y. What is the remainder when o is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/30 + 9\/5. Let o(z) = z**2 - 3*z**m - 2*z**2 + 2*z**2. Let i(a) = 6*a. Give o(i(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-931)\/114 - -8 - 10\/(-6). Are -2\/99 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/26)\/((r**(-15)\/r)\/r) assuming r is positive.\nAnswer: r**(445\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:08 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 14. Let m be 656\/((-3)\/((-24)\/t)). Let o = -238 + m. Calculate the common denominator of o and 87\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 - 5*k - 4. Let n be (-3)\/2 + (-27)\/(-6). Suppose 0 = t + 3*l - 8, -n*t - 4*l + 16 = -3. Calculate a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*n - 88. Solve 5*m + n = -4*k, -2*m - 4*k - 23 + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 0.0340778.\nAnswer: 1.0340778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from qqqqqpqqqqqp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*2*45\/135. Let v(i) = 13*i**2 - 2. Let t(r) = -495*r**2 + 77. Determine w*t(b) - 77*v(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 96, 90, 82, 72, 60?\n\"Answer: -j**2 - 3*j + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631 - 125664536138.\nAnswer: -125664535507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8951175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 + 5*u + 11. Let g be 2\/(-4)*14\/1. Let o be r(g). Solve -j - 4*j = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from xixxxxxxxaxxxx?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12820.28 rounded to the nearest one hundred?\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2446?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1584\/2781) + (43 - 50).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*o + 89*o + 0 + 0.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35983.\nAnswer: 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 42 = 5*f + 33. Let q(h) = -62*h**2 + 3*h + 3. Determine q(f).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30214 - -54043. Suppose -r = -27*o + 13782. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-180)\/(-48))\/((-30)\/(-1008)). Let i = 174 - 53. Suppose -k*p + i*p + 570 = 0. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 31. Let o be l(-27). Suppose -2*v = o*w - 860, -2 = -2*w - 4. Does 48 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqlll. Give prob of sequence qlq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -55242, -2 in descending order.\nAnswer: 0.09, -2, -55242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1 + (-24)\/(-20)) + -2 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2930317 + -2930316. Let i = 94 + -93.39. Let z = i + -0.01. Which is the closest to o? (a) 0.2 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114383, -114390, -114401, -114416, -114435, -114458, -114485?\nAnswer: -114516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 463965931 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8745669*x**3 + x**2 + 86985337*x wrt x?\nAnswer: -52474014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 145 or 1010\/7?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.857613ml in litres?\nAnswer: 0.008857613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*w - 4, 3*w = w + 8. Let i = 4 + r. What is the third smallest value in -0.9, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 40. List the prime factors of (10525\/h - 3) + (-3)\/24.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*a. Suppose -n + h = -5*n + 19, 3*h = -2*n - a. Solve -n = 2*v + v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5288 or 5284?\nAnswer: 5284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4927363918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1003360, -2007667, -3011974, -4016281, -5020588?\nAnswer: -6024895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 144 = 12*b. What is the third derivative of 43 - 26 + 9*r**b + 128*r**2 + 53*r**3 - 17 wrt r?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/60 + 25*w**5\/6 - 1043*w**4\/12 + 2119*w**2. What is the second derivative of i(q) wrt q?\nAnswer: 12*q + 500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 19*a**2 + 51*a - 189. What is y(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a, -47*l + 46*l + 3 = -5*a. Solve -7 - l = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-21)\/(-7))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5148764 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141519*a + 2996 = -141412*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 17. Let p be (2\/(-8) - 20\/16)*6. Let q(m) = -10*m - 88. Let j be q(p). Sort j, z, 4, 5.\nAnswer: z, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 2\/49, 3, 6, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 1214*d**2 + 12016*d + 28896 = 0. Calculate d.\nAnswer: -2, 12, 1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 121.5, 1233, -10, -0.2 in decreasing order.\nAnswer: 1233, 121.5, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011011 (base 2) to base 7.\nAnswer: 4513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -102*v - 1428. Let f be y(-14). Solve f = -36*p - 182 + 38 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -27*q - 55. Let c(h) = -20*h - 37. Let m(r) = 9*c(r) - 7*s(r). Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2 - 1) + 3. Suppose 5*h + 87 = y*v, 4*v - 3*h = v + 63. What is the least common multiple of 12*5\/(-45)*-9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -444 - -443.9. Let y = -26 - -27. What is the closest to t in 2, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -0*a + 4*a + 2*p, -p = -3*a + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**4 - 34697813*u**3 + 7362167*u**2.\nAnswer: 24*u - 208186878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5201 (base 11) in base 3?\nAnswer: 100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 26. Let g = 39 + x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4, -2, -5 in ascending order.\nAnswer: -5, -4, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 5*g, -2*m - 3*g = -3*m. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*n - 105*n + 990. Suppose -n*l + 107*l = -1053. Is 351 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 3 + 10*o**5 - 40*o**2 + 25*o**4 + 18 - 30*o**3 + 15*o - 7*o = 0. What is o?\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 236\/5419 + 15077\/27095. Factor -39\/5*r**2 - k*r**3 + 0 - 36\/5*r.\nAnswer: -3*r*(r + 1)*(r + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 556981+-1\nAnswer: 556980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 22 - 43 = -4*i, 5*u - 25 = 0. Calculate the greatest common divisor of 135 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a - 48 = -56*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-12)\/f*f)**(-26)*f**(-2\/7)\/(f\/f**7) assuming f is positive.\nAnswer: f**(2042\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/((f*f*f\/f**(1\/8)*f)\/f)*f*f**(1\/5)*f*(f\/(f\/(f*f*f**(-2\/3)))*f)\/(f*f**(-3\/2))*(((f**(1\/13)*f)\/f)\/f*f**(-1\/6))**(5\/7) assuming f is positive.\nAnswer: f**(12303\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2197\/1729 - (-12)\/(-28) - 0. Let b = 82 + -82.2. Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -271 - -225?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let r(d) = 37*d**2 - c - d - 28*d**2 + d**3 - 2. What is the smallest common multiple of r(-9) and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 2. Suppose u = 2*a - 7. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.1? (a) 0.2 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420 (base 8) to base 13.\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:58 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*b + 3*t - 42 = 70*b, 2*b - 2*t - 36 = 0. Solve -18*y + 21*y + b = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719746 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 11, -21 in decreasing order.\nAnswer: 11, 4, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {l: 1, d: 3, g: 5, s: 1, b: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 825, 4, 2, -5, 0.2 in descending order.\nAnswer: 825, 4, 2, 0.5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -46, -59?\n\"Answer: -13*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -29. Suppose k = 2*t - 3. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 + 8. Let o(w) = w**2 + 3*w - 7. Let h be o(-5). Let q = h - 3. Give x(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*u - 5*x + 33, -5*x + 13 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 7. Let m = 6 - v. Let q(h) = -7*h - 29. Let i be q(-4). Is i less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31 + 13*n**3 + 31 + (-n - 3 + 3)*(1 - 2 - 2)*(-27*n + 27*n - 7*n**2).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55648 is divided by 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5403899057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -302064 and 0.55.\nAnswer: -302063.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15114.\nAnswer: 2, 3, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 8 - 15 = -2*a, -89 = -5*a + 2*g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-1 - 1 + 1)*(-3 + 4*v + 3 + (-3*v - 1 + 1)*(-1 - 4 + 6)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3627 or -3630?\nAnswer: -3627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 4 + -5 + -3 + -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/6)*v*v**(-10)*((v\/v**(-3))\/v)\/v*v**(-3\/11)\/v assuming v is positive.\nAnswer: v**(-535\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*z**4 + 19*z - 73*z**4 + 218 - 20*z - 2*z**3 + 143*z**4 to the form o*z**4 + h*z**2 + t*z + g + k*z**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/78 and -163\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Let x = -6 + t. Let s be 5 - (0 - -3)\/x. Solve s*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*d - 1848, 4*k + 2*d = 5*d + 3740. List the prime factors of k.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2260, 5, 42 in decreasing order.\nAnswer: 42, 5, -8, -2260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = -p + 7, p = c + 5. Let u be 2\/c + (-12)\/(-21). What is the biggest value in 2\/3, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/120 - i**5\/12 - i**4\/24 - i**3\/6 - 9*i**2\/2 + 10*i. Let l(a) be the first derivative of j(a). Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104093330 by -20818666.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.4423t in nanograms?\nAnswer: 859442300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c**4*f**3 - 3*c**4*f**2 + c**2 - 15*c + 2*f**3 wrt c?\nAnswer: -312*c*f**3 - 72*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**47*k**1*k\/k**11 assuming k is positive.\nAnswer: k**179","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 + 28*u**4 - 20*u**3 - 300*u**2.\nAnswer: 4*u**2*(u - 3)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.96 + 0.04. Let q = t - 10. Let m be -1 - (2\/(-10) - 1). What is the closest to 0 in q, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 26. Let t be b(-10). Let c(v) = -v**2 + 13*v + 4. Let n be c(12). Let f = n + -10. Calculate the greatest common factor of t and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - -7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*f**6 - 76*f**5 - 11*f**2 - 30?\nAnswer: -3600*f**3 - 4560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 - t**2 + 5*t**2 - t - 5*t**6 + 23*t - 16*t**6 + 8*t**4 wrt t.\nAnswer: -2640*t**3 + 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010000 - -1011001001?\nAnswer: 10111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 849.88 - 1.88. Let r = 853.99 - q. Let z = -0.89 + r. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (52 + -56)*(-2 - (0 - 1)). Suppose 735 = 2*w - g, s*g = 3*w - 8*w + 1831. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 903240 and 25387992?\nAnswer: 13896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127601 is divided by 186.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 33*h + 1471. Calculate the remainder when x(-9) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0657 - -0.06569201. What is v rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 934320035*c**2*d**5 - 37*c**2*d**2 - 3143*c**2 - c*d**2 - 6*d - 14 wrt d.\nAnswer: 56059202100*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36b5 - -923?\nAnswer: -2d92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 18*x**2 + 12*x + 9. Suppose -3*w + 10 = 28. Let t be (0 - -2)*(2 + w). Is f(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:37 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -647, -648, -647, -644, -639?\n\"Answer: h**2 - 4*h - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 20982*v\/5 + 439299\/5.\nAnswer: 3*(v - 6973)*(v - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/6)\/(6913\/(-20739)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174255 divided by 58085?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 16*o + 10. Let f be 4\/6 + 3\/18*8. Let x(a) = 2*a + f + 2*a + 2*a - 3*a. Determine -2*w(h) + 11*x(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29226.\nAnswer: 2, 3, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12738 and 2214.\nAnswer: 4700322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -282*r + 4108. Give z(13).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 271\/4. Let p be 2\/(-3)*(-2 - -4). Let o = -0.42 + 0.02. What is the third smallest value in o, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -146*n + 229. Is k(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 10. Suppose -114 = 14*d - 2. Calculate v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a**(4\/5)\/a))\/a*a*a)\/a)\/(a*a\/(a*a**(-14)*a*a)*a*a)*(a\/a**(-11))\/(a\/(a*a*a*a\/(a*a**10*a))) assuming a is positive.\nAnswer: a**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 24. Let w = -62 + 51. Let f be y(w). Solve f*j + 2 = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -155. Sort -4, 113, a in decreasing order.\nAnswer: 113, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73720643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62497493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-10) - 24\/(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 10*w**2 + 7*w + 7. Give q(10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-65) - 6\/(-30). What is the third biggest value in -2, r, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40574*-0.2\nAnswer: -8114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 1\/2*-4. Suppose 0 = s*c - 9, 5*c = -0*z + 2*z + 15. Suppose -q + z*q + 5*x + 27 = 0, 0 = -2*q - 2*x - 6. Put -5, q, 5 in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3\/3 + 615*q**2 - 53865*q + 1380825 = 0.\nAnswer: 57, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or -53?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178500 divided by 119.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 305717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let x(t) = -137 + 8*t - 2*t + 138. Determine b(x(f)).\nAnswer: 12*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(((-6)\/6)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-1))\/n)**33)**(-41))**50 assuming n is positive.\nAnswer: n**67650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/12)\/(-4) + 64\/12. Suppose -2*y - k*y = -1883. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 16 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 + 962 = -47*k - 464 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 8530924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o\/o**0*o*o)*o)\/o)\/o)**(-11\/2))**(-26))**(-27) assuming o is positive.\nAnswer: o**11583","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*d + 10*d - 90*d)*(-1 + 1 - 2*d**3) + d**3 + 2*d**4 - d**3.\nAnswer: 272*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48796, -96974, -144534, -191476, -237800, -283506, -328594?\nAnswer: -373064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7000515 + -0.7. What is d rounded to 6 decimal places?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23495835 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/3 + 3*l**2\/2 + 7*l + 1. Let d be (-15)\/(-12)*2*2. What is k(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1682529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 4, i: 3}. Give prob of sequence do.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3*k - 2*k - 86 = 0, -5*k + 300415 = p + 300393 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -v + 92 - 7, -5*v - 3*m + 16298 - 16445 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 56588?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 31 = -39. Let u = -27 - i. Let n = u + 78. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 635 + -522. List the prime factors of y.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19 + -3.81. Let c = -6.4 - -6. Let w = 3.2 - 3. What is the nearest to -1 in c, z, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 9*u**2 + 44*u - 99. Give w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/5, -1\/7, 3, -591\/4, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.5 (b) 1\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-117)\/(-6) + 1\/2. Suppose 0 = -3*p - p - g. What is the units digit of p*(3 - 2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**3 + 26*f**3 - 41*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9282 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 21251968?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/6)\/(((-6)\/(-5))\/(2478\/70)).\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518780, -4150187, -14006858, -33201425, -64846520?\nAnswer: -112054775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/197 - 3365\/788. What is the common denominator of a and 57\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -102 - (4 - (0 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136.441918 + -136.25. Round t to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240625 (base 7) to base 11\nAnswer: -2a784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2113.4988+-4562\nAnswer: -6675.4988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.053 + -0.034. Let i = -0.431 - j. Let m = i - -0.4. What is the biggest value in 5, m, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24601*y**3 - 146*y**2. Let o(w) = -849*w**3 + 5*w**2. Calculate 5*j(i) + 146*o(i).\nAnswer: -949*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, 121, -5 in descending order.\nAnswer: 121, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/4469 or 0?\nAnswer: -5\/4469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttttwttttt?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 12279134 and 12279110 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17711757, 35423509, 53135261?\nAnswer: 70847013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*m + 15, -2*q + 4*m + 9 = 7*m. Suppose q = -2*c - c. Suppose c*g - 4*g = -28. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(1\/3))\/p)**(-2\/55))**(7\/3)*(p*p**(2\/3))**(2\/5)*((p*(p**(-1\/5)\/p)\/p)\/p)\/(p\/p**5) assuming p is positive.\nAnswer: p**(247\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15006 and 3926570?\nAnswer: 11779710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -5578 + 5459 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 12 - 4*t + 2*t - 2*t. Let w be g(1). Solve 5*z = -5*l, -w*z = -0*z + 5*l + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -1 + -68 + 66\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 1 + 6. Let a be 8\/32*32\/(-14). Let i = -26\/49 - a. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 925*u\/4 + 2757\/2.\nAnswer: (u + 6)*(u + 919)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**5\/60 + 5*c**4\/12 + 5*c**2. Let g be (2 - 1)\/((-31)\/(-310)). Give j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*y + 24*y + 2 - 132*y - 2 - 3)*(-2 - 3 + 0) as k*y + q and give k.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**3 + 758*r - 758*r.\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -5. Suppose 0*u - u = -8. Calculate the least common multiple of u and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/4 + 1\/(-4). Let h(q) = -2*q - 3. Let m(a) = -3*a - 5. Let v(b) = -7*h(b) + 5*m(b). Let n be v(k). Is 0 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 1947188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 4 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 54.8. Let i = t + -3.2. What is the second smallest value in -1, 5, i, -0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 92642.89 kilograms?\nAnswer: 92642890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -3, 19, -6 in increasing order.\nAnswer: -6, -3, 5, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 69. What is the lowest common multiple of (8 - 10)*(-5)\/1 and v(-13)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*w - 3 - 1, 0 = -3*w - 4*m - 2. Suppose 2*v + 53 - 8 = 3*j, -w*j + 32 = -2*v. Calculate the remainder when 92 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2753.559 decades to years.\nAnswer: 27535.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - b - 26 = 0, 104*i - 105*i - b = -4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = g - 11, -5*g - 3005 + 3094 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*s - 180\/7 + 2\/7*s**2.\nAnswer: 2*(s - 6)*(s + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10286, 10310, 10358, 10436, 10550?\n\"Answer: t**3 + 6*t**2 - t + 10280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 2 + 0 + 125*g**4 - 101*g**4 + g + 3*g**2 to the form b*g + u*g**4 + o + p*g**2 + i*g**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/23))**47*j*j*j**(-1\/20)*j*j*j**40 assuming j is positive.\nAnswer: j**(23037\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -50801*b**2 + 6*b - 5. Let c be n(5). Round c to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -0.0048?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + f + 220 = -2*x, -2*f = -8. Let d = -130 - x. Let h = d + 107. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -12. Let f be -4 + (3 - (m + 1)). Suppose -8*d**3 + f*d**2 + 0*d**2 + 4*d**2 = 0. What is d?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 4. Let x be a(2). Let w be -3 - x - (-1)\/1. Suppose 0*f = -5*f. Solve f = 2*p + w*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -19*u**2 - 281*u + 62. What is r(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 123093481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 45. Suppose 3*r = f*r - 34. Suppose 5*q + 12 + r = 3*t, -2*t = 2*q - 46. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 403*t - 2. Let u be s(-1). What is the tens digit of (-2)\/(3 - (-1225)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1404*q*s**2 - q*s - 293*s**2 wrt q?\nAnswer: -1404*s**2 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 12630907.5?\nAnswer: -25261815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2570, -2567, -2562, -2555, -2546, -2535, -2522?\n\"Answer: u**2 - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -140. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10 = -p. Suppose p*h = -9*j + 7*j + 234, -1 = -j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2839, 11122, 24915, 44212, 69007?\nAnswer: 99294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1477*g**3 - 5*g*m**2 + 24348*m**2 wrt g?\nAnswer: -4431*g**2 - 5*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (65 + -38) - (39 + -2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.7511?\nAnswer: 5.7511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -225\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 5*y - 1, -4*g + 13 = 5*y. Suppose -g*z = -0 - 8. Find the first derivative of -9 - p + 0 + z wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11569\/15258510 + 8\/9115. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 53 + 12 = -4*h, h + 1 = x. Let l(b) = b**3 - 5*b**2 + 6*b - 4. Let f be l(h). Solve f*p + 4*r = 0, 20 = p + 6*r - r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140827370 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: Calculate (((-23)\/2208*-36)\/((-45)\/4))\/(4\/25).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679901*y**2 - 2 + 679781*y**2 + 2.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 v when four letters picked without replacement from {x: 4, v: 10, t: 6}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/4 + 49*r\/4 - 561\/2 = 0?\nAnswer: -66, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*g, -5*g + 3 = -2*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i + 4. Let b be y(5). Solve b*c - 20 = 2*f, 2*f - 5 = -f - c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 9*a**2 - a - 6. Let m be p(-9). Let u(w) = 2*w**3 + 4*w**2 - 5*w + 3. Let o be u(m). Suppose 3*n = -0*n + o. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1, -4\/7, 1\/2, 12801, -0.6 in descending order.\nAnswer: 12801, 3\/2, 1, 1\/2, -4\/7, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-7)))\/(m**(4\/9)\/m))\/(m*m**4*m*m*m\/(m*m**(3\/2)*m)*m))\/(((m**0\/m)\/m)**(-47)\/(m*m**(2\/5)*m**(-5\/3))) assuming m is positive.\nAnswer: m**(-9559\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 2325, 5277, 9399, 14685?\nAnswer: 21129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 61 = 9*b - 14*b, 0 = 3*n + b - 124. Calculate the remainder when 106 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 100170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 72 + -27 - 13 - 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 - 228. What is the third biggest value in p, 2, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(q**4 - q**4 + q**5) + 2*q - 3*q**5 + 4*q**5 + 4*q.\nAnswer: -2*q**5 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 35. Let s be a(-21). Solve s*k - 15 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**6\/70 + 72*d**5\/35 - 243*d**4\/2 + 26244*d**3\/7 - 885735*d**2\/14 + 4789*d. Factor f(q).\nAnswer: -3*(q - 27)**3*(q - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p**3*v**3 - p**3*v**2 - 3*p**2*v - p*v**3 + 93*p wrt p.\nAnswer: -42*p*v**3 - 6*p*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2130 - 3?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943567 not equal to 6943553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1245?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 2335.\nAnswer: 21\/2335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {e: 5, x: 3, p: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = 85 - 71. Let n be 0*(8 + g)\/14. Determine k, given that 1\/4*k**4 + 0*k - 1\/4*k**2 + n*k**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -24*u**4 - 2*u**3 - 2*u - 17. Let q(y) = -47*y**4 - 5*y**3 - 5*y - 34. Let s(d) = 5*c(d) - 2*q(d). What is the derivative of s(m) wrt m?\nAnswer: -104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18 + 9*z - 30*z**2 - z**2 + 49*z**2 + 2*z**4 - z**4 + 52*z**2 wrt z?\nAnswer: 12*z**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/7 + 567258*v**2\/7 - 19856552*v\/7 - 20423808\/7 = 0. What is v?\nAnswer: -283664, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-25)\/(-120)*(-17)\/17.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 11*v**2 - 12*v + 2. Suppose -2*c + 84 = -9*c. What is q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40008 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 17*j**2 - 15*j - 9. Suppose 4*h - 51 = 13. Let k(a) = -a**2 - 5*a + 7. What is the least common multiple of k(-5) and b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07275484 to 3 dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 185*f**2 + 830*f + 960.\nAnswer: 5*(f + 2)*(f + 3)*(f + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/88 and 121\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 13*y**3 + 2*y**3)*(17 - 34 - 23)*(-2*y - 1 + 1).\nAnswer: -640*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423044 + -2?\nAnswer: 423042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 12:24 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((8\/4)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4266\/5589 + 4\/(-108)*-6 and -26\/171.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 16.3, -3, -1.19?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36564 and 796356?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7566226 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*b**2 - 125*b**2 + 57*b**2)*(1 + 4 - 1).\nAnswer: -896*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + -35. Let b = 67 + p. Let q(m) = 16*m - 16. Let s(j) = -3*j + 3. Give b*s(n) + 4*q(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 7*l**2 - 10*l - 12. Let m be n(-8). Let r = 7 - m. Suppose 0*s + r*s + 3 = q, -5*s - 25 = -3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/9))**(20\/9))**28 assuming o is positive.\nAnswer: o**(4480\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4594298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6357923 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k**2 - 6*k**2 + 2*k**2 + (5*k - 7*k**2 - 5*k)*(-4 - 2 + 26) as v + u*k + n*k**2 and give n.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*a + 5. Suppose -a*p + 0 = -48. Sort p, -3, -1 in increasing order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 32. Let w(d) = -d**2 + 13*d + 174. Let q be w(21). What is u(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2025 and 2550.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15070567.87616438 - 15070667.11. Let w = a + 0.23322562. Let y = w - -99. Round y to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -96 - (-85 - -27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + g = -16*u - 30, 2*u = 2*g + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 6*i + 17. Let t be z(-11). Let k(s) = -t + 72 + 6*s. Let h(v) = -6*v. Give h(k(g)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -59, 7903, 4 in descending order.\nAnswer: 7903, 49, 4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 9*a**2 + 9*a - 1. What is the least common multiple of 20\/2 - (-2 + 3) and q(8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23144451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 477\/60 - (-52)\/1040\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-13)\/(-3) - 1. Suppose -5*i = -j - 4*j + 100, j + i - u = 0. Calculate the least common multiple of (-33)\/(-4) - 4\/j and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29772*t**2 - 28470*t**2 - 2358*t**4 - 407*t**4 wrt t.\nAnswer: -66360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211269, 3, -3 in increasing order.\nAnswer: -211269, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 - r - 14. Let q be n(-3). List the prime factors of 1 - (-212 - (q - -5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*c + 685 = 177*c. Put -3, c, -5, 3 in decreasing order.\nAnswer: 3, -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 8*l - 30. Let q be a(-3). Let i be (q - -40) + 2\/2. Let u = i - 6. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*j*k**5 + 4*j*k**3 + j*k - 7*j + 7 wrt k?\nAnswer: -220*j*k**3 + 24*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 0.26, -1, 4, -2\/5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669400693.\nAnswer: 59, 28294927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1902215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000068 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/3 - 7*i**4\/3 + 6*i**3 - 20*i**2\/3 + 8*i\/3.\nAnswer: i*(i - 2)**3*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37595?\nAnswer: 5, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1572252 + 1572252 + 1681*a to l + j*a and give j.\nAnswer: 1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h**2 + 376*h - 1462. Calculate n(4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(16\/72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**4\/3 - 56300*r**3\/3 - 15572236*r**2 - 93264500*r\/3 - 46604096\/3 = 0.\nAnswer: -784, -1, 14861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:42 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 358*l - 3 - 2 + 3*l**3 - 350*l + 9*l**3. Let d(k) = -2*k. Determine q(d(n)).\nAnswer: -144*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = d - 10, -3*g - 1 = -d - 9. Let p(q) = 4 - 4*q**3 + 756*q**2 + 5*q**g - 752*q**2 + 5*q. Calculate p(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j. Let l(g) = 2606*g**2. Give t(l(p)).\nAnswer: -15636*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15329 + 7.\nAnswer: 15336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2039\/5 + (-20)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 4, x: 1, n: 1}. Give prob of sequence xn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -156*y - 8262. Calculate i(-39).\nAnswer: -2178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3183*y = -1592*y - 1593*y - 4*l - 6, -5*y - 2*l = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 8*r + 45, -6 + 34 = -4*q + 4*r. Let i = 5.1 + 4. Let l = i - 1.1. Which is the smallest value? (a) q (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 26 = -2*q, 0 = 2*s - 5*q - 15 - 23. Suppose 5*k + s = 4, 153 = 4*w + 3*k. Is (2\/(-6))\/((-1)\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n + 5*w - 50 + 11, 0 = -4*n - w + 27. Let a be 44\/(-23) - (n + 80\/(-8)). Let y = -16 - -49\/3. Put y, -3\/5, a in descending order.\nAnswer: y, a, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2846, 5490, 8134?\n\"Answer: 2644*r + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -16. Let k be (-624)\/65*20\/f. Suppose -5*v - 3*m + 33 = -k, -17 = -v - 3*m. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 233280?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5889, -5719, -5559, -5409, -5269, -5139?\nAnswer: -5019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*k - 1971 = 0, -5*k + 1466 = 3*l + 273. What is the highest common factor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*j + 20 = 5*s, 5*s - 4*j + 457 - 507 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5122, -1, -15, 6, -3.\nAnswer: -5122, -15, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -22*i + 24*i. Let l be ((-10)\/i)\/((5\/70)\/(-1)). Solve 0 = -4*w + 2*b + l, -3*w + 0*w - 5*b - 11 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 1}. Give prob of picking 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1132644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498083 and 1059.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**4 + 0*d**4 - 5*d**4)*(4 - 3 - 2) + 23*d**4 - 10*d**4 - 3*d**4 as w*d**2 + x + z*d + j*d**3 + a*d**4 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/62*(34\/(-5))\/(65\/325)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i + 10 - 37 - 33. Let y = 8 - 12. Sort -19, y, i, -3.\nAnswer: -19, y, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((sqrt(4) - sqrt(16)) + sqrt(4) - sqrt(4) - sqrt(4)))\/(1*sqrt(294) + sqrt(294))*5.\nAnswer: -5*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -16 (c) -81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330 + 392. Solve -d*j + 8 = -66*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/6*(-42)\/(-4). Let d be 13 - (23 + 1)*790\/1422. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 10*h - 11. Calculate the remainder when 12 is divided by g(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**(6\/25)\/y*y)\/y)\/y**(2\/49))\/(((y\/((y*y**(3\/4))\/y)*y)\/y)\/(y\/(y*y\/y**(-4)))))**(4\/11) assuming y is positive.\nAnswer: y**(-24749\/13475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2246, -2184, -2124, -2066, -2010, -1956?\nAnswer: -1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -43*v. Let a(c) = 216*c. Calculate 5*a(k) + 24*m(k).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -3.2973227\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o + 180 + 296 = -16*o. Let f(p) = 2*p**3 - 5*p**2 + 6. Let b(h) be the first derivative of -h**4\/2 + 4*h**3\/3 - 5*h + 7. What is o*b(l) - 6*f(l)?\nAnswer: 2*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102604521 (base 8) to base 7.\nAnswer: -301515600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -34*x + 2. Let t(a) = -5*a - 1. Give 3*t(b) + v(b).\nAnswer: -49*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:29 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(20)\/sqrt(10) + 4)**2 + -4.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013406 rounded to four dps?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36796400 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876322362 to the power of 1\/3, to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyliyrlyyliil. Give prob of sequence lirl.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b**2 - 2*b. Let r(l) = -12*l**2 + 3*l. Calculate -3*g(u) - 2*r(u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272886088225*i**3\/7 + 545763818290*i**2\/7 + 16716256*i\/7 + 128\/7.\nAnswer: -(i - 2)*(522385*i + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 2012012?\nAnswer: -2012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/4, -395?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 11)\/(-3 + (-52)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5210222 (base 9) to base 8\nAnswer: 12471536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141*n**4 - 5*n**3 + 21*n + 372780 wrt n.\nAnswer: -564*n**3 - 15*n**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2 - 495*g - 959. Determine a(-63).\nAnswer: -1526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.05 (b) -4 (c) 9\/4 (d) 123.47 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*v**3 - 4*v**2 + 18754*v - 11646427 wrt v?\nAnswer: 87*v**2 - 8*v + 18754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 7. Calculate k(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -214359.\nAnswer: -13\/71453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/50*(-5)\/2 - -35. Let v = 8 - -4. Let w = j - v. Calculate the highest common factor of 125 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14366 less than 716844657?\nAnswer: 716830291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 522 or 206647\/396?\nAnswer: 206647\/396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 - 2*u + 1. Let l be w(2). Let n = l - 16. What is the remainder when 17 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 499, 1125, 1991, 3091, 4419, 5969, 7735?\nAnswer: 9711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968 = -4*b - 4*r, -47*b = -50*b + 5*r - 782. Sort 1, b, 4 in decreasing order.\nAnswer: 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17254)\/(-10) + (-12)\/30. Suppose -q = -6*l + l. Suppose 3*y - 234 = -3*m, 5*m = 5*y + m - l. What is the remainder when y is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y - 16421*y - 1870*y + 1962*y to t*y + d and give t.\nAnswer: -16305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/616*(-11 + 564\/60).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13531, -13526, -13509, -13474, -13415, -13326, -13201?\n\"Answer: q**3 - 2*q - 13530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 585 = 5*x - 3*p, 3*x + 3*p = -375. Let j = x + 200. Suppose -5*b + 32 = -3*v + j, 4*b = 4*v - 64. What is the remainder when 31 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 208 = 4*f, 534 = 538*u - 543*u - 4*f. Which is smaller: -534\/5 or u?\nAnswer: -534\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.77 + -40. Let p = n + 0.63. Let q = -1 + 1.1. What is the second biggest value in p, q, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknrnttrntt. Give prob of sequence ttrt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - 950\/(-5) - (2 + 0).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/(-4) - 3\/(-12). Suppose 5*s = r + 16. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -10*22894\/(-25)*10\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from wnwnggtgtggntnt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 + 387*g - 1. Let k(y) = 3*y**2 - 193*y. Calculate -5*k(h) - 2*v(h).\nAnswer: 3*h**2 + 191*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - -37. Suppose 4*z = -2*v + 4, 5*z - 4*z + 5 = v. Suppose v*l = 3*l + d. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(264)\/sqrt(44))\/sqrt(6))\/(((sqrt(264) + (sqrt(264) - (sqrt(264)*-3 - sqrt(264))))\/sqrt(11))\/sqrt(12))*6.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = -68. Let n = j - -41. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12) - (10\/(-6) + 0). Let k(b) be the third derivative of 1\/180*b**5 + 0*b + 0*b**4 + 0*b**3 - 3*b**w - 1\/630*b**7 + 0*b**6 + 0. Factor k(r).\nAnswer: -r**2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1914 + 1914 - 28*q**2)*(221 - 26*q - 221).\nAnswer: 728*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77846, 311285, 700310, 1244915, 1945094, 2800841, 3812150?\nAnswer: 4979015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*(195\/(-36))\/(-13)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 4, y: 1}. Give prob of picking 1 a, 1 y, and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*q - q - 29, 0 = -f - 2*q + 19. Solve 2*n - f = -5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10123012 - -12203?\nAnswer: 10201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4683237.28 and -635.6?\nAnswer: 4683872.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29224498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) -2\/5 (d) -0.3 (e) -0.01 (f) -1865\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -41*h + 1272. Determine a(27).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16a784 (base 11) to base 5\nAnswer: 31410041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -19*k**2 - 850*k + 15. What are the prime factors of d(-24)?\nAnswer: 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.133 + -0.033. What is the nearest to y in 2\/3, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(6\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -43*i + 1. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61627590, 61627595, 61627588, 61627563, 61627514?\n\"Answer: -p**3 + 12*p + 61627579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z + 9. Determine q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1919, 22926, 57937, 106952, 169971?\n\"Answer: 7002*l**2 + l - 5084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.44693 in -2, 0, -587\/2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 2*l**2 - 6*l - 3. Calculate the remainder when z(5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2562.377+-0.4\nAnswer: 2561.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 divided by 2258?\nAnswer: 123\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:29 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**4 + 40*y**3 - 96*y**2 + 129. Let m(s) = -5*s**4 + 40*s**3 - 95*s**2 + 130. Let i(f) = -6*m(f) + 5*p(f). Factor i(z).\nAnswer: 5*(z - 3)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 4 (b) -17 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2000*o - 268273. What is q(-134)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 47. Let r = 4 + b. Let y be (-142)\/r + 10\/45. Calculate the greatest common divisor of y and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 7*r + 3. Give m(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51264*j**4 + 328*j**2 + 2*j + 524036377 wrt j.\nAnswer: 205056*j**3 + 656*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34879060 and 52600?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(38\/1045 + (-67)\/330))\/((-6)\/558)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209610 + 209585 = 25*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j = -15. Suppose -4*r + 13 + j = 0. Suppose 8*b - 3*b + 4*n = 50, -3*b - 2 = -r*n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 18 = -2*b - 20, -3*n - 4*b + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + 33. Let n be c(11). Which is bigger: n or 2\/649?\nAnswer: 2\/649","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7451989 or 1?\nAnswer: 7451989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - -20) + -4 - -37.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 573 + -181. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450 divided by -45.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/3, 6\/13, 146\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2. Let q be 12 - (13 - (6 - (-21)\/(-7))). Let c(f) be the third derivative of 0*f**3 + 0*f**4 + 24*f**q + 1\/30*f**5 + 0*f + 0. What is r(c(i))?\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(72)*-2)*-6)**2.\nAnswer: 108000*sqrt(2) + 281700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/9 - 14*b**3\/9 + 68*b**2\/9 + 56*b\/9 - 80\/3 = 0.\nAnswer: -10, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**2 + 8*v**2 + 55*v**2 + 2*v as d*v**2 + j + c*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + a)*((-2*a + 4*a - 3*a)*(-12*a**2 - 3*a**3 + 12*a**2) + (2*a**3 - a**3 + 2*a**3)*(4*a + 1 - 1))*(0 - 3 + 0).\nAnswer: -90*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -974 - 0?\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 6 - (0 - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -324*p + 325*p - 48, -p - 4*k + 43 = 0. Let g(a) = 5*a + 1. Let j be g(4). Calculate the highest common divisor of j and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6312672499 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 5 - 19 + 9 + m + 4 - 4 + (0*m + 2*m - 4*m)*(0 - 2 + 0).\nAnswer: 3*m - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-64 + 23 + 14)*(3*g + 4*g + 2*g) + 3 - 3 + 2*g.\nAnswer: 488*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 269077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.051, -7.1, 15?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158035389 - 158035356.7999806. Let a = 32.2 - d. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {z: 3, v: 6, p: 1, m: 1, k: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 3*v + 0*v)*(-5*v**2 + 9*v**2 - v**2) - 7*v**3 + 3*v**3 - 2*v**3 to j*v + y*v**3 + q*v**2 + l and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4277\/4 - 1069. Let u = 10 - 16. Which is the second biggest value? (a) -0.1 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -293*d**4\/12 - 22*d**3\/3 - 75*d - 2. Find the second derivative of a(p) wrt p.\nAnswer: -586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 31*v + 76. Let g be z(33). Solve -8*i + 10*i - g = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125424 divided by 156?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*r**3 - 476*r**2 + 768*r**3 + 476*r**2.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o - 2*o)*(4 - 1 - 1) - 4 + o + 4 - 2*o - o + 2*o + 18*o - 29*o - 75*o + o - 4*o + 2*o + (-6 + 5 + 2)*(-3*o + o + o) - 2*o + 2 - 2.\nAnswer: -92*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u. Let v(p) = p**2 + 1414*p - 1414*p. Determine v(q(t)).\nAnswer: 121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (2 - 2 - 1)*(-2 - 2 + 2) + 5 - 2 - 1 - 4 - 3 + 5)*((-2 + 4 - 1)*(-x + 2*x + 0*x) + 19 - 19 + x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 8, t: 8, n: 1, q: 2}. What is prob of sequence st?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - 0) + 16\/(1088\/292) + 0. Let p be (2 + -1 + -2)*4. Is t <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 48 = 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*n - 134*n + 16. Solve -2*w - n + 0 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.99563 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-105)*30*4\/8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 33*i**2 + 30*i - 58. Let f be m(-32). Solve -f*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1277992 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -60. Let q = -9 + 26. What is the highest common factor of q and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 298802 and 30.\nAnswer: 4482030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 24, -2, 3, -1, 5 in ascending order.\nAnswer: -18, -2, -1, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12945 + -9040. Let q = b - 2197. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.71 + 0.29. Let g = -25 + i. Let v = g - -5.00000022. What is v rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, b: 1, z: 6, o: 1}. What is prob of picking 3 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5177078 is divided by 3397?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(114) - sqrt(114))*-1)\/(sqrt(12)\/(sqrt(2)*2)) + 3.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2. Let z(m) = 19*m**2 + 35*m + 93. Let g(x) = -6*s(x) - z(x). Is 12 a factor of g(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2d4 (base 14) to base 15.\nAnswer: 9ddb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1417000 and -5.\nAnswer: -1417005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 12 - 2. Suppose z + 1 + 5 = -3*l, -n*l = -z + 4. Suppose o - 12 = -2*d, 4*o + 28 = 5*d - 2. Solve z*v + v = o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 30. Suppose -g*r = -7*r - 5. Let p = -2.6 - -0.6. Put p, -3\/2, r in decreasing order.\nAnswer: r, -3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -141, -148, -167, -204, -265, -356, -483?\n\"Answer: -n**3 - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**3 - 2948 - 2976 - 2952 - 2954 + 14783 - 2953.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*y - 26, -6*o + 11*o = 2*y - 5. Which is greater: o or 1\/292?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(-4*b**3 + 0*b**3 + 5*b**3) + 10*b**3 + b**3 + b**2 - 2*b**2 to the form d*b + m + y*b**3 + i*b**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 41 - 5. Suppose 0 = 7*n - 6*n + 91. What is the remainder when x is divided by (-4)\/14 + (-663)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010519 to four decimal places.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwww when four letters picked without replacement from wowxxwwwoxwwwwwwww.\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3*v**3 - 6*d**3 + 569*d**2 + 2*d + 19034*v**3 wrt v?\nAnswer: -3*d**3*v**2 + 57102*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205806 divided by -1.\nAnswer: 205806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55253634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -123, 1\/2, -2\/5 in increasing order.\nAnswer: -123, -2\/5, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let j(v) = 17. Let y(s) = 23. Let i(l) = 3*j(l) - 2*y(l). Give 5*b(f) + i(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1078*s**6 - 962*s**4 + s**3 + 137861575*s**2 wrt s?\nAnswer: -129360*s**3 - 23088*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h**3 + 8*h**2 - 3*h + 8. Let c(g) = -10*g**3 - 5*g**2 + 2*g - 5. Let f(n) = -8*c(n) - 5*u(n). Find the second derivative of f(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - 6*p + 23. Let l = 15381 + -15381. Calculate r(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((-27)\/36*(-6)\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1215 + 924 + 327 + w to the form h + i*w and give h.\nAnswer: 2466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = n + 16. Suppose -5*f + 19 = -m + 2*m, 4*f + 182 = 5*m. Let j = n + m. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402691?\nAnswer: 1021, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-403)\/(-26))\/(1\/2). Suppose -r + 13 = z. Which is greater: r or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -287 and -51392 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(160) + sqrt(160) + sqrt(160)) + -6*sqrt(160)*1)\/(-5*(sqrt(8) - (sqrt(8)*-1 + sqrt(8))) - (5*(sqrt(8) + sqrt(8)*2) - sqrt(8))))**2.\nAnswer: 6480\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i + 80. Let q(n) = -5*n - 27. Calculate 4*b(m) + 11*q(m).\nAnswer: m + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**2)\/f)**(-2\/15)*(f**(-1))**42 assuming f is positive.\nAnswer: f**(-634\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448903 is divided by 87?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-35) + -1)*-14. Let u be (18\/c)\/(2\/4). Suppose 6*z - 271 = 3*z + d, -3*d = u. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1483?\nAnswer: 1483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/(o\/(o*o**(-1))))**(2\/103)*o*o\/(o**(-5)*o)*(o**(2\/19)\/o)\/o*o*o**(1\/3)*o**(2\/9)*o assuming o is positive.\nAnswer: o**(116804\/17613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14459?\nAnswer: 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82279549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16773923 is divided by 282?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0*o**6 - 2\/3*o**4 + 0*o**2 + 62*o + 0 - 5\/42*o**7 + 49\/6*o**3 + 0*o**5. What is the second derivative of a(v) wrt v?\nAnswer: -100*v**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6077361 - -61?\nAnswer: 6077442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 859422 divided by 13\nAnswer: 859422\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/40*(100\/38)\/(-10).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 5. What are the prime factors of 57\/9 + 4\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*i - 5 = -3*n, -2*n = 3*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 + 2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 10:21 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m + m + 1 - 6*m + m with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -10040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5))**(21\/4))**(-2\/23) assuming l is positive.\nAnswer: l**(-21\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -36. Let z = -9.7 - w. Let t = -7 + z. Round t to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8417 at most as big as -8314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0)**17\/((n*n**(-24))\/n**(-2\/15)) assuming n is positive.\nAnswer: n**(598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7299.79 - 5.\nAnswer: -7304.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107 + 12*z - 107)*(25 - 42 - 48) to q + h*z and give h.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -328*d**6 - 10451*d**3 - 22434*d**2 + 8*d + 1 wrt d?\nAnswer: -39360*d**3 - 62706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.85 - -3.95. Let k = -25 - f. Is 2 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -5 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67675372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - i + 3)*(-2 + 8 + 41)*(4*i + 9 - 9).\nAnswer: -188*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittwggtgii. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.083 - -0.073. Suppose -4*u = u + 30. Let f be (u\/24)\/(1\/(-3)). What is the nearest to y in 2\/25, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*a**3*f*t**4 + 56*a**3 - 3*a**2*f*t**2 - 3*a**2*f - 2*f*t**4 - 2*t**4 + t**2 wrt t.\nAnswer: -6768*a**3*f*t - 48*f*t - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 11. Let q(g) = -g. Let i(j) = -21. Let p be (-5 + 4)*1\/(-1). Let d(f) = p*i(f) - 2*q(f). Give 6*d(y) - 11*w(y).\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/21 (b) -0.7 (c) -0.1 (d) 507\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41516928?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3*(-9)\/(-2). Let w be (-51 - r)*(-12)\/10. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.9002 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 538*p**2 + 1067*p - 4576. Give g(-271).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 1, g: 1, t: 2, c: 1, e: 1}. Give prob of sequence tti.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 54350*b**2 + 326127*b\/4 - 122301\/4.\nAnswer: -(b + 13589)*(4*b - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3069, -11516, -25343, -44550?\nAnswer: -69137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 20.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 411. Let n(k) = -4*k - 272. Calculate -5*f(p) + 7*n(p).\nAnswer: 2*p + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/5 - 19204*z**3\/5 - 331122*z**2.\nAnswer: -2*z**2*(z + 87)*(z + 9515)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222222 (base 3) in base 16?\nAnswer: 5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3439.18 millilitres?\nAnswer: 3.43918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9646 - -8.\nAnswer: -9638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 12*g + 29. Let o be b(-14). Let j(s) = -3*s + 4*s + 1 + s. Let l be j(o). Solve -l*q - 12 = 0, 0 = 2*p + 2*q + 14 + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 19 + 22 - 721*n - 481*n to the form w + r*n and give r.\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28555*n - 335812 - 977600 = 28673 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b - 34*b - 54 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 6. Let z be m(-5). Solve 3*i = -z*c - 2 - 2, -c + 18 = -4*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**3 - 6*j - 3. Let s(o) be the third derivative of -7*o**6\/120 - 5*o**4\/24 - o**3\/2 - 29*o**2. Give -6*s(p) + 5*u(p).\nAnswer: 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*-2*(-3)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39981181 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406864276?\nAnswer: 2, 7, 13, 1117759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*l - 2*l = -40, 3*t - 45 = 3*l. Suppose w + 0*w = 5. Solve t = u - 5*y, -w*y - 1 = -2*u + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(-1350)\/360?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -o + 6, -5*s + 3*o = -2*s + 9. Which is the second biggest value? (a) -2\/11 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(4)\/sqrt(2)*-1 + 1)**2 + sqrt(2)*-3 + -2 + (sqrt(2) - sqrt(198)\/sqrt(11)).\nAnswer: -13*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 36a8c (base 15) in base 16?\nAnswer: 2a9ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.022, 91, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -15*d**2 + 5*d - 4. Calculate a(2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((3*sqrt(729) - sqrt(729)) + sqrt(729)).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 66*m**2 - 204*m - 49. Determine g(-37).\nAnswer: -3453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48873 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqhftqqqqhthhqfftfqq. Give prob of picking 1 t and 2 f.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 3. Suppose 0 = -2*i + 5*i - z. Suppose -252 = -2*j - 2*j + 4*k, -i*j = 4*k - 144. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-330)\/(-99) + (-8)\/6. Suppose 5*q = -z - 17, 4*q + o + 26 = 4*z. Suppose 7*j - 30 = 2*j. Which is the smallest value? (a) 0 (b) z (c) j (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1828 and 510?\nAnswer: 466140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {k: 4, q: 3, x: 3, f: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - ((-22216)\/6 + -1)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21390725 * -0.1\nAnswer: -0.021390725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/1 + (-195)\/(-90). Let z(f) be the second derivative of 0 + u*f**3 + 0*f**2 + 4*f. Let t(y) = 17*y**2. Determine z(t(n)).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*t**3 + 192*t**3 + 202*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**6\/120 + a**5\/20 + 2*a**3\/3 - 14*a**2 + 10*a. Suppose -4*i = -6*i + 6. Determine z(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 75*v**2 - 1. Let p(q) = 76*q**2 - 1. Let d(m) = 3*n(m) - 2*p(m). Let w be d(-1). Let i = w - 289\/4. Which is smaller: i or 2.8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 31. Let d = -185 - a. Let f = 194 + d. Calculate the remainder when f is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -16*p**2 + 6 + 17*p**2 - 2*p - p + p + p. Calculate b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12348 and 441.\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21633 is divided by 255.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 91 - 87. Put -5, -10, 1, b in ascending order.\nAnswer: -10, -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/4 and (-65)\/26*194\/(-40)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwowoppwwwjw. Give prob of sequence jwow.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94 - 0) + -55 + (-64 - -151) + -28?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2, 5 in descending order.\nAnswer: 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-960)\/105)*3864\/(-48)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -173, -303, -527, -875, -1377?\nAnswer: -2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -37. Let h(l) = l + 1. Let x be h(-4). Let q = f + x. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -9*o**4 + 88*o**3\/3 - 4475*o**2 - 10568. Find the second derivative of j(y) wrt y.\nAnswer: -216*y + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1033 and -0.351256541893.\nAnswer: -1033.351256541893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 9. Calculate the common denominator of (124\/(-44) + p)*-24 and 62\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 803304500 to the nearest one hundred thousand.\nAnswer: 803300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x + 3. Let r(c) = -3 - 4*c + 2 + 3. Let q = -18752 + 18759. Determine q*r(i) - 4*n(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 258 + -165 + -105 - (33 - (-1 - 0))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 1. Let c be i(-5). Let s = c - 41\/3. Let b = -5370 - -5374. What is the third biggest value in 3, s, b, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 6*w - 3. Let z be o(3). Let x = 18 + -10. Let g = 65 + -63. Solve -g = 2*i + 4*y - z, 0 = -i - 5*y + x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 + 299. Suppose -22 = -2*x + g, b*x + 25*g - 29*g - 34 = 0. Which is bigger: x or 0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/7 - 51350048*s - 2307224000902016 = 0. What is s?\nAnswer: -89862584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3218, 6440, 9662, 12884?\nAnswer: 16106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-21 + 5))\/(1\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 11:20 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 - 39.4. Which is the closest to 0? (a) 0.1 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - 161*q + 33*q + 22*q + 29*q + 23*q + 30*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-31 - 3) + (169 - 160) + -30\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a74 (base 14) to base 2.\nAnswer: 1101001110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(60) - (sqrt(60) + sqrt(4860)*2) - (sqrt(60) - -5*sqrt(180)\/sqrt(3))))\/((sqrt(768) + -3*sqrt(768))*6*1).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, -1, -4, 0 in decreasing order.\nAnswer: 12, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*h**3 - h + h.\nAnswer: 76*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = 0, -40 = -v + 3*k + 2*k. Which is smaller: 16 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2776 and 15457462.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -622, -9, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 284*d + 9 = -283*d, 4*d - 96 = 20*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -815 (base 10) to base 6\nAnswer: -3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22761*w - 55 + 113*w**3 + 22761*w - 43 wrt w.\nAnswer: 339*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 10) + (-22)\/(-1). What is the units digit of (0 + 515)*(m\/10)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2992006877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 2*h + 2, x + h + 1 = 0. Let i be 2\/(-2*1) + x. What is the units digit of 5 - i - 6\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -63. Let v(h) be the third derivative of 1\/60*h**5 + 0*h**4 + 0*h - h**2 + z + 0*h**3. Let s(b) = -4*b. Calculate s(v(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04915 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 - 152. Suppose -3*n + 2*m = -17, 0 = -n - n + 5*m + 15. Which is the closest to f? (a) -2 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) - 2286984\/(-252)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 47*z - 17. Let c(s) = 24*s - 8. Let i(n) = -7*c(n) + 3*f(n). Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**4 + 5393*d**2 + 21604?\nAnswer: 8*d**3 + 10786*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + g**2 + 9*g - 3*g**2 - 7*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 3378132.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/4 and (-24)\/120 + 554\/1445?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -134*t - 529. Let r be o(-4). Let h(g) = -2*g + 7. Calculate h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 139*v + 1046. What is w(-7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 29. Let h be s(-15). Which is greater: -3\/32 or h?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -54*a + 11. Suppose -4*f + 39 = -5*i, -3*i - 4*f = -5*i - 18. Calculate the remainder when s(i) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531363 + 1531363 - 249*x**2.\nAnswer: -249*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11479156 to the nearest integer?\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgg when three letters picked without replacement from ggj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*p = -h + 5, h = -p - 1. Suppose 5*v - 12274 = -5*l + 1526, -2*l = h. Suppose -360 = 12*r - v. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 214501 and 42.\nAnswer: 1287006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53714 + -35962. Suppose -5*w - 2*l + 22190 = 0, 4*w - 3*l + 8*l - s = 0. Suppose -w = -5*u + a - 0*a, u - 5*a - 902 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-4 + 3 - sqrt(539))**2 + (1*sqrt(704))**2 + ((sqrt(66)*2)\/sqrt(6))**2.\nAnswer: -210*sqrt(11) + 14232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - (6 + -4 - 4). Let f be 9\/((-15)\/z - 3). Suppose -u + 4*u + f = -5*j, -u = -2*j - 7. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (-2 - (2 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 741*s**4\/8 - 1753*s**2. Let z(c) = 2*c**2. Calculate r(z(i)).\nAnswer: 4446*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -652414\/1629 + 3604\/9. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 3*z**2 - 5*z - 7. Suppose -2*m = -m - 3*g - 17, 4*g + 21 = m. Calculate the remainder when d(m) is divided by 20\/3*-7*(-21)\/196.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-52)*(-1 - -1). Suppose i = 21*w - 23*w + 2846. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991.6546 decades to millennia.\nAnswer: 9.916546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d - 350. Let m be n(29). Suppose 2*t = t - 3. Let k be 1 + (-1 - (-5)\/t). Is m less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*n**2 + 90*n**2 + 17*n**2 - 442*n**2 + 88*n**2.\nAnswer: -153*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -544.4 and 1886808.\nAnswer: 1886263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 482 - 469. Let s be r\/(-3) + 712\/89. Suppose -12 + 1\/3*g**5 - s*g**4 + 47\/3*g**3 + 32*g - 97\/3*g**2 = 0. Calculate g.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 1232 = 7*m. Let t = 352 - m. Suppose 5*o = -3*o + t. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 - p - 1. Let y(h) = 6*h**3 - 6*h**2 - 5*h - 20. Determine 5*u(s) - y(s).\nAnswer: -s**3 + s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-288)\/225) + 2\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 1. Let b(d) = 6*d**2 + 3. Determine -b(q) + 4*u(q).\nAnswer: -10*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5669, 11381, 17091, 22799, 28505, 34209, 39911?\n\"Answer: -s**2 + 5715*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 0*l + 0*l**4 + 20 + 20\/3*l**3 + 0*l**6 + 0*l**2 - 2*l**7 + 0*l**5. Find the third derivative of a(r) wrt r.\nAnswer: -1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 80, 101, 130, 167, 212, 265?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5805.966 - 5806. Round h to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 24*w**3 + w**2 + w + 9. Let i(o) = -6*o**3 - 2. What is 2*g(k) + 9*i(k)?\nAnswer: -6*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(3 + -3)*-1 - -1. Let w be -3 + d + (2 - -4). Suppose 2*j - 449 = -5*k, j - w*j + 184 = 2*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28570, -28623, -28672, -28717, -28758, -28795?\nAnswer: -28828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7 - -8) + (-20 - 6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -6) + (322 - 309 - (-1 + 0)) + -77?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74709*v - 74737*v = 700 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -152578.\nAnswer: -152577.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 103*k**2 - 13*k**2 + 67*k**2 + 202*k**2 + 13*k**2. Let r(g) = 2*g. Give i(r(w)).\nAnswer: 1488*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from sgssssgsssgsss.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 156*x**3 + 474*x**2 - 476*x + 159.\nAnswer: -(x - 1)**3*(x + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9287.6 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*k - 210*k + 18*a + 6, -5*k - 5*a - 20 + 35 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -17. Put w, -2\/13, -0.5, -2 in descending order.\nAnswer: w, -2\/13, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 344 - 9*x**3 + x**4 + 440*x + 218 + 214 - 484*x - 13*x**3 wrt x.\nAnswer: 4*x**3 - 66*x**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 3, e: 2}. Give prob of picking 3 t.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (2 + -2)\/(-3). Suppose -t - 15 = 12. Let d be 6\/t + 87\/27. Sort n, d, 5 in descending order.\nAnswer: 5, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 - 191028*s**2 - 955203*s - 764172 = 0. What is s?\nAnswer: -4, -1, 63681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1840, -14671, -49496, -117313, -229120, -395915?\nAnswer: -628696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -38753 equal to -38755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipxippwixp. What is prob of sequence ppw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*t + 3*r, 0 = t + 328*r - 330*r + 1. Let f(y) = -4 - 2*y - y + 0*y**2 + 6*y**2 - y**3. Determine f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*y + 111. What is the tens digit of -2*(-1 + y\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 1653?\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + 32. Let w = -5 - -10. Suppose 4*l - 64 = -0*l - 4*v, v = w*l - 68. Calculate the greatest common factor of l and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -72*a. Let o(z) be the third derivative of z**5\/2 - 2137*z**2. Determine c(o(x)).\nAnswer: -2160*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2204.513 and -0.2?\nAnswer: 440.9026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 101\/6*v**6 + 0*v**5 + 29\/2*v**2 + 65 + v + 0*v**4 + 0*v**3. Find the second derivative of c(r) wrt r.\nAnswer: 2020*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*l + 5*g - 9, -3*g + 10 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 12*h**2 + 72*h + 80.\nAnswer: -2*(h - 10)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12329007 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(86\/129)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/9, 18\/13, 1, 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:36 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5457296 millennia?\nAnswer: 545.7296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1550118 or 7750588\/5?\nAnswer: 1550118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*t - 62 + 62 + (3 - 3 + 10)*(-4*t - t + 4*t))*(-3 + 0 + 2) as r + m*t and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1 + 8)) + 22 - 9\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*h**2 - 23*h**2 + 76*h**2)*(-5 + 2 + 1).\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89.3 - 82.5. Let d = -2 - 5. Let u = t + d. Which is the nearest to -0.4? (a) -2 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*d - 17, y = -d - d + 9. Let v(k) = 12*k - 6*k + 11*k - y. What is the tens digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddxddxddyddy. Give prob of sequence yxx.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(80)\/sqrt(128))\/((sqrt(25) + 1*sqrt(25))\/sqrt(5)) + (sqrt(98) + 0 - (1 + sqrt(2) + 3))**2.\nAnswer: -381*sqrt(2)\/8 + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 0, 5*n - 4*n = 2*m - 3. Let h(x) = 3 - 4 + 12*x**3 + 0. Let j be h(m). Solve j = 4*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 44 = 4*x. What is the remainder when (-162)\/(-1215) + ((-2144)\/30)\/(-4) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1399)*(-4)\/(-14). Let z = -949941\/97930 - u. Find the common denominator of 0 + -3 - 14\/(-20) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80100, 80115, 80122, 80121, 80112, 80095?\n\"Answer: -4*z**2 + 27*z + 80077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -9*d**5\/5 - 8*d - 4. Differentiate b(a) wrt a.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 - 16 = -4*k, 3*j + 25 = 5*k. Let o(v) = 99*v - 5 + 0 + j - 107*v. Let f(h) = -39*h - 24. Calculate 5*f(n) - 24*o(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*l + 37741, -9*l - 7546 = -10*l + 2*f. Is l a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 + 10222*x\/7 - 174352\/7 = 0. Calculate x.\nAnswer: -5128, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2 + 2*v - 6*v**2 + 3*v**3 + 8*v**2 - v. Let l(m) = 4*m**3 + 3*m**2 + m + 2. Determine 3*j(p) - 2*l(p).\nAnswer: p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 5, 5 = -2*v + s. Let u(a) = 4*a. Let r be u(1). Suppose -3*i - 5*t - 470990 = v, -2*t = -4*t + r. Round i to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:51 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(160\/(576\/(-18)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8123 + -81347\/10. Find the common denominator of d and 67\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + s - 3. Let v be c(-4). Let l be (-2)\/(-6) + v\/9. Suppose 76 = 33*i - 52*i. Is l greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + (-3)\/(-210). Which is the nearest to -0.1? (a) s (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/1*(2 + 4 + -7). Let n be 2\/2*w\/10*-18. Is (-4)\/(-6) + 3 + 5790\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 5*x**4 + 3*x**4 + 14002*x - 14002*x + 163*x**4 + (1 + 4 - 2)*(-x**4 - 2*x**4 + 4*x**4) + 3*x**4 - x**2 + x**2.\nAnswer: 168*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50809\/9 >= 5646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 178*a - 11. Let z(y) = 1604*y - 100. Calculate 28*u(v) - 3*z(v).\nAnswer: 172*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*a - 28 = 0, 16*p + 50 = 21*p + 4*a. Let k(s) = -2*s + 3. Let x be k(2). Sort 2, p, x.\nAnswer: x, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 2, g: 1, d: 1}. Give prob of picking 1 g, 1 s, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - p**2)*(60 - 30 - 46) - p**2 + p**2 - p + p**2 in the form f + q*p + i*p**2 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -2366.383.\nAnswer: -23.66383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/5 (c) 14 (d) 5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**7\/42 + 2*i**4\/3 + 3*i**3 + 5*i. Let h(l) be the second derivative of r(l). Differentiate h(k) with respect to k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 28 = -18*f. Solve -f*c + 10*c = 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 divided by -8?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413267 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 - 7*m. Suppose -o + 28 = -2*d, 0 = 4*o - 3*d + 4*d - 112. Calculate the remainder when p(5) is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 + 5. Let a(v) = 3*v**3 + 9*v**2 + 14. What is -3*a(r) + 8*l(r)?\nAnswer: -r**3 - 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - w - 36, -7*h - 4*w - 11 = -6*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*f*j*z - f*j + 1927206*f*z + 152*j*z - j + 21214*z wrt f.\nAnswer: -38*j*z - j + 1927206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 15*b - 6*b. Suppose 3*l - 3*o + 51 = b, 4*l - 3*l - 2*o + 21 = 0. Let i = l + 52. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 r, and 1 q when four letters picked without replacement from kkyrkkqyyrq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (4 - (5 - -2)). Suppose 3*u - 10 + 4 = w, 5*f - 13 = u. Find the third derivative of -12*q**6 - 40*q**2 + f*q**2 - 21*q + 21*q wrt q.\nAnswer: -1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13906 - 13911. Put g, 4, -2, 0.9, 2 in descending order.\nAnswer: 4, 2, 0.9, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -75\/2. Which is the closest to d? (a) 3\/5 (b) -2\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -2*d**6\/27 + 8*d**5\/45 + d**4\/9 - 8*d**3\/27 + 9. Suppose g(j) = 0. What is j?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 918, 1400, 1906, 2442, 3014, 3628?\nAnswer: 4290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -358181?\nAnswer: -358206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or 3?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-416)\/96*(28\/(-13) - -2). What is the closest to h in 1\/5, 0, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 2:53 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -75. Let g(x) = x - 9. Let m be g(7). Let h be (-15)\/(-5) + 0\/m. What is the highest common divisor of d and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4367.33*903.\nAnswer: 3943698.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**3 + 1. Let n(a) = -12*a**3 - 1. Let f(r) = 5*i(r) + 6*n(r). Let b be f(1). Let j = 434 - b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - (27 + -45 - -49)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102102222 (base 3) in base 5?\nAnswer: -231332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, e: 2, k: 7}. Give prob of picking 3 c and 1 k.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13136 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121627 and 165855?\nAnswer: 1824405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057 = 187*v - 662*v - 6757 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*i**3 + 12441 + 52*i**3 - 6180 - 6261.\nAnswer: -234*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-24)\/o)\/(o*o*o**(3\/5))*o**(-22)*o*o*o**(-20)*o assuming o is positive.\nAnswer: o**(-328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*c - 3*c = 528, 0 = b - 4*c - 119. Let j = b + -91. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*b + 36 = 0, 0*z - b + 27 = 2*z. Let v = z - 10. Suppose -v*l + 8 = -2. Solve 2*r - 16 = 4*m, -m = r - l - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**3 - 2*n**2 + 2*n + 4. Let m(z) = -z**2 + 2*z + 11. Let p be m(4). Let w be f(p). Find the second derivative of -45*g**4 - 262 - 31*g + w wrt g.\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -48. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-90)*-3 + (-2)\/(-5). Which is the third smallest value? (a) -5 (b) 12 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 3:45 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-45) + 2\/10. What is the derivative of 2*j**4 + 1 + 2 + f + 0 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*p**4 - 4180*p**3 + 38442*p**2 + 2236216*p + 2193544 = 0. Calculate p.\nAnswer: -17, -1, 254\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 41*o + 6. Let w be r(-18). Find the common denominator of -3 - 0 - 1290\/w and -93\/22.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5797284*v. Let a(f) = 3*f. What is a(u(l))?\nAnswer: -17391852*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:33 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248 and 621922?\nAnswer: 2487688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -157, -152, -143, -130, -113?\n\"Answer: 2*i**2 - i - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (1 - -1)) + 3. List the prime factors of (g\/1)\/(-3) + 7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-76)\/342)\/(1*1\/1). Let s = -0.01 - -0.31. Let a = -527\/786 - -1\/262. What is the third smallest value in d, a, -0.4, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u**3 + u**4 + 0*u**2 - u - 10*u**3 - u**2 + 2*u**2 to the form d*u**3 + w*u + q*u**4 + g*u**2 + s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -27*n - 35. Suppose 0 = -o - 3*s + 28, -3*s + 127 = 5*o - s. Calculate the remainder when x(-3) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*m*s*t**3 - 115*m*s - 2*m*t**2 - 3*m wrt t.\nAnswer: 54*m*s*t**2 - 4*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1197273522 divided by -3\nAnswer: 399091174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 8a2?\nAnswer: 8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:49 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1502128 divided by -421.\nAnswer: 3568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 394*y + 439*y - 186 - 866*y. List the prime factors of p(-31).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:34 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34922595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 - 12\/9. What is the tens digit of (3020\/40)\/(u\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207\/2185*(40\/(-12))\/2\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrrrrrrdrr. Give prob of picking 2 r.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from eggdgugogougoie?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10210 (base 7) to base 11.\nAnswer: -1979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 1356?\nAnswer: -1358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 76 = -4*w - 0, -2*x + 4*w + 34 = 0. Calculate the highest common divisor of 147 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 37*t + 172. Give u(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/581217 and -107\/7098.\nAnswer: 15111642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 12) to base 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95922 and 16?\nAnswer: 767376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -26*q**3 - 14*q**2 + 42*q - 18. Let z(i) = -8*i**3 - 5*i**2 + 14*i - 6. Let t(c) = -5*w(c) + 16*z(c). Find r, given that t(r) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -116*o**3\/7 - 582*o**2\/7 + 2558*o\/7 - 1860\/7 = 0.\nAnswer: -465\/58, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 13) to base 16\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*h**4 - h**3 + 526*h**2 + h + 540142?\nAnswer: 2112*h**2 - 6*h + 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15223147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.83 + 103.8299987459. Round d to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89669\/81 - -1107. Let d = -817194677\/567 - -1441260. Let t = i - d. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 8*u + 22. Calculate y(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -3 - -3) + 4 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149055 is divided by 272?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 134*q**2 + 9*q + 541. Calculate x(-67).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*a + 66 = 57*a, -k + 2*a = 39 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 101*m**3 + 3*m**2 + 19*m - 30. Let z be j(2). What is the highest common divisor of 324 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -947 and 13\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 1, h: 5, p: 3}. Give prob of picking 1 u and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*p + 8*l - 30, 9 = -5*p - 4*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 41*k - 3*k + (0 + 2 - 3)*(k + 0*k + 0*k) to the form b*k + f and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -219*b**4 - 1928*b**2 - 2*b + 2049082?\nAnswer: -876*b**3 - 3856*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 5*o - 11, -m - 1 = -2*o - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 13 = q. Suppose 9*w - 8 = 13*w. Let m be (3\/9)\/((-30)\/(-9) + w). Which is the nearest to m? (a) -1\/5 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 7 + 1)\/(6\/63). Suppose 10*x + 4*x = p. Solve x*l + 19 = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:54 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*y**2 + 56*y**2 + 3*y + 87*y**2 - 3*y - 328*y**2 + 76*y**2.\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 2*g**2 + 0*g**2 + (3*g + 0*g - 2*g)*(g - g + g) + 2*g**2 - 3*g**2 - g**2 + 0*g - g**2 + 0*g + (-3*g**2 + 42 - g**2 + 2*g**2)*(2 + 3 - 3).\nAnswer: -8*g**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -9 - 6. Suppose 5*t - 18 = 2*w, z*t + 2*w = -w - 2. Calculate the greatest common divisor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1511, -1554, -1641, -1784, -1995, -2286, -2669, -3156?\n\"Answer: -2*y**3 - 10*y**2 + y - 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1030734 and -32280?\nAnswer: 998454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4699 + 0.4699. Let k = -2 + 4. Let i(b) = 4*b. Let c be i(1). What is the closest to -1\/2 in k, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) -0.16 (c) 0.4 (d) 0.042 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -3*a, 5*j = -2*a + j + 20. Suppose o - a*o = -4*o. Let m be (-2 - -8600002) + (3 + -4)*o. Round m to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9909, 39698, 89355, 158886, 248297, 357594, 486783, 635870?\nAnswer: 804861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 107 (base 13) to base 5\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 + 492171*n**4 + 4*n**2 - 95343 wrt n.\nAnswer: -120*n**2 + 11812104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4338*c**2 - 2175*c**2 - 2166*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.55 + -14.55. Let i = r + 15. Let w be -2*1\/(-20)*4. What is the closest to -1\/3 in i, w, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/7 - 163*g**4\/7 + 55354*g**3\/7 - 2477540*g**2\/7 + 30318600*g\/7 = 0.\nAnswer: -345, 0, 26, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 923974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75838815 a multiple of 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 17\/3 (c) -0.03 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 - 141*t**2 - 261*t + 405 = 0.\nAnswer: -45, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -551.9005294 + 551.9. What is b rounded to 5 dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-10)\/(d**3\/d**0) assuming d is positive.\nAnswer: d**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w + 2 = -50*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let y = -54 + 57. Suppose -2*q = -5*b - 7*q + 40, -3 = 4*b - y*q. What is the remainder when u is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:24 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -92, -138, -184?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.214790697 rounded to four dps?\nAnswer: 0.2148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 701192.\nAnswer: 3505960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/7 + 3652*m**2\/7 + 2985485*m\/7 - 652766050\/7 = 0.\nAnswer: -1915, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -66, -90, -116, -144?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59525729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3917952610?\nAnswer: 2, 5, 11, 13, 101, 27127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*54099\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 85124 = -9*v + 5*v, -v = -2*m - 21281. What are the prime factors of v?\nAnswer: 13, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2029\/9 + 677\/3. Let p = 11.5 - 9. Let d = p - 0.5. Is f != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0850424um in centimeters?\nAnswer: 0.00000850424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 5. Let r be x(4). Let l be 27\/(-4) - r\/(-4). Let c = l + 10. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 107. What is the nearest to 0.4 in s, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 14. Suppose q - 5 = 2*c - c, 0 = z*q - 4*c - 18. Suppose -33 = -5*i + q. What is the lowest common multiple of i and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/6)\/(10\/285)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220201 - -300?\nAnswer: 221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 t when three letters picked without replacement from {t: 5, r: 1, b: 7, f: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31978 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144472255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(128)*3)\/(sqrt(4) + 2*sqrt(4)*-4 - (sqrt(20)\/sqrt(5) - sqrt(4))*-1).\nAnswer: 48*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 + -2 - -2) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 499+10.05\nAnswer: 509.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from {u: 6, l: 2, b: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55926739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -2147167?\nAnswer: -2147172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a hour in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 10890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - c - 97, 44 = -25*o + 26*o + 4*c. What is the remainder when o is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 - 0.9792936\nAnswer: 184.0207064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/((-4)\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r**5 - r)*(-3 + 1 + 3).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -290*c**3*k + 540*c**3 - c**2 with respect to k.\nAnswer: -290*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 502871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13846615*k**3 + 25855141 wrt k?\nAnswer: 41539845*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -6\/5*b**4 - 108\/5*b**2 + 2\/25*b**5 + 162\/5*b + 8 + 36\/5*b**3. Factor i(c).\nAnswer: 2*(c - 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/95, 6469.\nAnswer: 1\/95, 0.2, 6469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*x)*(1 - 3 + 3 + 0 + 4 - 3 + (1 + 0 - 2)*(-1 + 0 + 3) - 4 + 3 + 3 - 1 + 2 + 1 + 5 + 0 - 3).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*o + 3*o - y, 2*y - 40 = -4*o. Suppose -o*t - 3220000 = -16*t. Round t to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.64 - -56.94. Let j = 204 - 112. What is the closest to 1 in j, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-48)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5166*q + 67160. Calculate g(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*v - 0*v + 4*s, -8 = v - 5*s for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2364033 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a**3 + 10*a**2 - 5*a + 352. Let k(f) = 51*f**3 - 36*f**2 + 18*f - 1233. Determine -5*k(x) - 18*z(x).\nAnswer: -3*x**3 - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/53, -0.3, 27?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + w = -1 + 3, -2*y - 2*w - 6 = 0. Let o be -4*y\/((-8)\/(-20)). Solve b = -b - o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a + 0 - 1\/6*a**3 + 0*a**2. Let r(z) be the third derivative of -z**5\/20 + 4*z**2 - 7*z. Determine w(r(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 558809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 10*i + 2030 = -54*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -26*w**5\/9 + 22696*w**4\/9 + 554896*w**3\/9 + 4278400*w**2\/9 + 11183200*w\/9 + 9328000\/9 = 0.\nAnswer: -10, -2, 11660\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155047.\nAnswer: 155047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10 = -3*o, o = -i + 2*o + 6. Suppose -i*f = -856 + 270. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 4*f**2 + 17 + 19*f + 5*f**2 - 27 + 2*f**2 as l + r*f**2 + k*f and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 130 + -261 + 128 - (0 - -17)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 69 - 3*k**2 + 40*k**2.\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/5 - 534447928*x**3\/5 + 23802882490107072*x**2\/5 - 70674453907349122799656*x + 353372245733863658339132\/5.\nAnswer: 4*(x - 44537327)**3*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -165, 1337, 3821, 7269, 11663, 16985, 23217?\n\"Answer: -3*t**3 + 509*t**2 - 4*t - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-351)\/1014*13*16\/6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 12. Let g = -4 + n. Suppose -3*x - 3*z + 9 = 24, -15 = 2*x + 3*z. Solve x + 6 = -g*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 87*v\/4 + 585\/2.\nAnswer: -3*(v - 39)*(v + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/491 and -89\/798366?\nAnswer: 798366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -612 - -616. Solve -63*r + 67*r = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*l - 17. Calculate the greatest common divisor of 78 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 174?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207\/5 - 24\/60?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-c - c - c)*(-2 + 2 + 2) - 6*c + 20*c + 10*c)*(4*c - 2*c - c) to the form z + l*c + y*c**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t**(-1\/2)*t)\/t)\/t*t))\/t*t)**(-7)*(t**0)**39)\/(t**(3\/5)\/t*t*t**(3\/4)*t*t*t*(t*t**(-3)*t)\/(t*t**(5\/3)*t*t)) assuming t is positive.\nAnswer: t**(-551\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.62 (b) -10 (c) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 612\/357*(-2)\/8*-14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j + 3*v = -35, 5*j = 3*v + 101. Calculate the least common multiple of j and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1697915*f + 4*f**2 - 1697913*f - 32*f**2.\nAnswer: -28*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*-4 - 2*sqrt(833).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 6*t + 12. Let p(x) = -1. Let w(q) = l(q) + 2*p(q). Let n be w(-4). Let o(i) = i**3 + i**2 - 2*i + 2. What is o(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 + 601 = -3*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 4*z**2 - 5*z**2 - 12*z**2 + 35*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 241675, 483307, 724939, 966571?\n\"Answer: 241632*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623397074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**6\/42 + 4*i**5\/35 - 3*i**4\/14 + 4*i**3\/21 - i**2\/14 + 59. Factor y(o).\nAnswer: -o*(o - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - sqrt(125)) + ((sqrt(126)\/sqrt(2))\/sqrt(9))**2.\nAnswer: -sqrt(7)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5844 + 4197?\nAnswer: -1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -18*m - 99. Let f(b) = 4*b + 24. Let t(o) = -21*f(o) - 5*q(o). Calculate t(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38205 divided by 7641\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4403\/28892 or -1?\nAnswer: -4403\/28892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/54130 and 125\/32478?\nAnswer: 162390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 8*p**3\/17 + 1978*p**2\/17 - 17938*p\/17 - 4608\/17 = 0?\nAnswer: -256, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -332b + -9?\nAnswer: -3338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(891)*-2 + -2) + -3*sqrt(891) + 3 + 0.\nAnswer: -63*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 4067*x**5\/5 + 3623*x**2\/2 - 3456. Find the second derivative of j(r) wrt r.\nAnswer: 48804*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 856699.\nAnswer: 3\/856699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -3, 1\/2226, -5.75?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*p = 10, -n + 0*p - 2 = -2*p. Let g = 7 + n. Solve -2*y + 12 = 4*u, 0 = y + 3*u - 10 + g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 5 - 5 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**11\/(c\/((c\/(c\/c**(1\/9)))\/c)))\/(c**(-1\/10)\/c*c**(-10\/3)))**22 assuming c is positive.\nAnswer: c**(13409\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-19)\/(-171) - (-2)\/36). Let d(a) = 15*a + 3. Let y(l) = 8*l + 2. Give t*d(q) - 11*y(q).\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413618*a**3 - 190386*a**3 - 223230*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261109 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96600*z**5 - 2*z**4 - 2354*z**2 - 26*z + 2 wrt z.\nAnswer: -5796000*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 117. Let o = -65 - c. Find the first derivative of -o*b**3 + 28*b - 17*b + 26 - 11*b wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - h - 2. Suppose 21*o - 21348 = 10887. Let w(c) = -3 - 5 + 1543*c**2 - 5*c - o*c**2. Give -9*p(g) + 2*w(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 374879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*g = -16, -5*a = -a - 3*g - 7. Suppose -4*u + 8 = -a*q, -4*u = u + 4*q - 46. Does 9 divide 3\/u + (-17)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19312 and 816.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 359 - 223. Let t = d + -98. What is the greatest common factor of 38 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:20 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1222222112?\nAnswer: 1222222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose 3*m - p - 7 = u*m, -5*p = 20. Solve c = 4*b - 11, 18 = m*b - 5*c + c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**2 - r - 40*r**2 + 153 - 3*r**2 - 15*r**2.\nAnswer: -96*r**2 - r + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + t + 8, -4*t = 124*v - 125*v + 32 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 12*j - 5. Let i be n(-6). Suppose 5*b = 54 + i. Let x(d) = -5*d - 6. Let a(v) = 14*v + 17. What is b*x(s) + 6*a(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*g - 860*d**2 + 22*d*g**2 - d*g - 2*g**2 - 2 wrt g.\nAnswer: 3*d**2 + 44*d*g - d - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 1 + 1 + 0*w - 3*w + 2*w + (4 - 3 + 0)*(0*w + 0*w + 2*w) + 50 + 67 + 3*w - 100.\nAnswer: 7*w + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*b**3 - 464*b + 464*b)*(-4 + 4 + b).\nAnswer: 33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(6)\/(sqrt(9)\/sqrt(3)))*-3.\nAnswer: -3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13305 + -305205?\nAnswer: -251500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (659\/(-659))\/((-1)\/6*4*(-4)\/(-40))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 + (-74 - -143) - -128.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -2 + (6 - 3 - (-11 - -15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142449 is divided by 2193.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p)**(-21))**(-1\/12)*((p*p**(-1)*p)**24)**(1\/26) assuming p is positive.\nAnswer: p**(53\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -abb6 + 47a2?\nAnswer: -6414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*j = -4*p + 96*j + j - 130, -2*j = p + 28 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 29 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.046 in -1, 0.3, 2, -0.4, -60.96?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 0.02. Put z, -2, 0.4 in decreasing order.\nAnswer: 0.4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 48, 59?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 55 = -5*l - 2*t, l + 31 = 5*t. Let b be ((-14)\/(-3))\/(l\/(-18)). Is 11 a factor of (-1 + -1)\/((-2)\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-6982)\/(-4) - -4). Let g = -2021 - w. Suppose 2*z = 508 + g. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/126)\/((-1)\/(-2)*-1*1092\/2184).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.21305 and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 609*q + 78. Let p(w) = -80*w + 3. Determine c(p(s)).\nAnswer: -48720*s + 1905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 2*o**3\/3 - 41*o. Suppose u + 2*u = 2*v, u + 5*v = 17. Let l(x) = -2*x + x**u + 2*x. Give l(p(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/30 - x**3\/2 - 10*x**2 - 160. Let i(d) = -d**2 - 9*d. Calculate i(h(l)).\nAnswer: -4*l**4 + 6*l**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 8*z**2 - 1. Let k be x(7). Suppose 5*a - k = a. What is the lowest common multiple of a and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*a - 60, 0 = c + 3*c + 2*a - 112. Sort -5, 5, c.\nAnswer: -5, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 22 = -w, -9*w - 3*f = -4*w - 22. Suppose -1050439 - 4589561 = w*g. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - f - 18, 2*f - 3 - 3 = -4*j. Let o be j\/(-2)*98\/(-21). Let h be o + -6 + ((-12)\/10)\/1. What is the nearest to 1\/3 in 2\/15, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = x, 17*x = 5*i + 13*x - 10. Solve l = 2*m + 6, 5*m - l = -17 + i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1320.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - g = 2*g + 24, 0 = -3*c - 5*g - 2. Suppose 4*r - 2*r = c, 3*o = 4*r + 201. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-42 + -6)\/((48\/57)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.2 + 28.2. Let j be 5 + 2\/(-4)*2. Let f be (-1)\/12 + j\/(-24). Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3111, -6220, -9329, -12438, -15547?\n\"Answer: -3109*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3 + 3)*(-91*i**2 + 137*i**2 + 121*i**2).\nAnswer: -167*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l*v**5 - 2*l*v**3 - 21*l*v**2 + 2*l*v + 10*v**5 + 2 wrt v?\nAnswer: -180*l*v**2 - 12*l + 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 10*s - 7*s - 10*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -20*g - 65. Let n be v(5). Let m = 167 + n. What is the least common multiple of m and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -424639098.7 to the nearest 10000.\nAnswer: -424640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800.3566 months in years?\nAnswer: 233.36305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 210\/(-280)*(-2 + (1 - 3)). Suppose -10*o + 13*o + 4*f = 24, -2*o + k*f + 33 = 0. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -7*c. Let s = c + 3. Suppose 0 = s*f - 53 - 49. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892041 is divided by 2060.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.232928 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*i + i + 26, -i - 14 = -3*c. Solve p - 3 = -c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/10)\/(14\/105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 1. Let y be (-4)\/10*(-30)\/(-6). Let w be q(y). Solve i = -0*i - 3, i + w = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**5\/5 - 162*g**4 + 246*g**3 + 244*g**2 - 816*g\/5 = 0.\nAnswer: -204, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664872 divided by -3244?\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -501, -815, -1149, -1497?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:40 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2478976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -621 less than 2?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**7\/147 + 2*r**6\/105 - r**5\/70 - 29*r. Factor g(z).\nAnswer: -2*z**3*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-627*g + 61*g**2 - 4 - 52*g**2 + 627*g)*((5 + 1 - 4)*(0 - 3 + 1) - 21 - 61 + 37) in the form v*g**2 + i + w*g and give v.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 2*x**4 - 2*x + x**3 - 4*x**2 to h*x**3 + p + t*x + v*x**2 + a*x**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 13995 = 9*g + 5*n, 0 = -3*g - n + 8395. Let q = -1737 + g. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2)**34 assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 157+-16.7451\nAnswer: 140.2549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1108 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -y + 3*y, 2*y + 10*y - 17*y + 15 = -3*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 6\/5 - -2. Let i be ((-22)\/18 - -1)\/(156\/(-108)). Sort i, -0.1, k in descending order.\nAnswer: i, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d**2 - d + 45. Calculate the remainder when 58 is divided by t(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -c - 928. Let w(k) = 3*k - 1. Let t be w(2). Suppose -t*m + c + 2387 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g**3 - g**2 + 2*g - 1. Let z be o(1). Factor z + 2*q**4 - 10 + 10*q - 6*q**2 - 6*q.\nAnswer: 2*q*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 4*w + 4*w. Let h(k) = 41*k + 12. Let b(p) be the first derivative of -638*p**2 - 374*p + 154. Let t(o) = 6*b(o) + 187*h(o). What is t(g(u))?\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34763423*z - 13289337 with respect to z.\nAnswer: -34763423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -439, -4416, -15195, -36172, -70743, -122304, -194251?\n\"Answer: -566*z**3 - 5*z**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -34. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6173*q - 12. Let b(w) = -6192*w + 14. Give 6*b(i) + 7*k(i).\nAnswer: 6059*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2 - (-5)\/10. Suppose k - 1 = -f. Does 11 divide 12 - (-3)\/(-2 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = 1214 - 122. Let k = p + 86. Suppose -2*s = -2 - k. Solve 7 = -s*u + 3, -5*g = -u - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3356*-125.\nAnswer: -416.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = 28*z - 1989. Suppose 4*q + 4*x = -x + 52, 0 = -q + 2*x. Calculate the remainder when z is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*c - 5691 = -2037 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-4*-1*-6*6)\/(((sqrt(567) - sqrt(567)*1) + sqrt(567))*-5 - (sqrt(567) + -1*sqrt(567)*-2)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 165, 182, 203?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3978 and 50354.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-72))\/((-2)\/(-16)). Let p(d) = -4*d + 1. Let n be p(-1). Suppose -n*l = -2*s + 20, -4*s = -0*l + 4*l - 12. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-1 + 6 + 16)*(2 + 0 + 0)*(-99 + 99 + 20*i)*(-1 - 2 + 1)*(-2*i - 3*i + 3*i)*(0 - 1 - 3) as v + l*i + p*i**2 and give p.\nAnswer: 26880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -25134\/29 and -867 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -5*g + 241534 - 241376, -2*g = -2*w - 72 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*h + 225, 4*h = 2*w + h - 450. Calculate the highest common factor of w and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -367, -776, -1351?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 54*v**2 - 5. Let o be w(5). Suppose 274 = 2*g - m - 403, -m + o = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 9*u - 27*u = -1080 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 + 2305*n**4 + 201095*n**3 + 4537175*n**2 - 20636000*n + 21477500 = 0 for n.\nAnswer: -355, -55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*3\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 8665.\nAnswer: -43325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -116, -127, -136, -143?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -810\/11 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-20)\/12)*-1. Differentiate 5*j**3 + 24*j**3 + 0*j**3 + 40 - 3*j**o wrt j.\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754708 divided by 6.\nAnswer: -377354\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -92844, 35 in decreasing order.\nAnswer: 35, 4, -92844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 21118.\nAnswer: -253416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -67. Suppose -7*a = -8*a. Suppose 3 = -w, 2*w + a = 3*x - 72. What is the least common multiple of x and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 1 - 9*a + 7 - a. What is g(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/200 and 7\/66.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.210479231 rounded to 5 decimal places?\nAnswer: 1.21048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3083522.183 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*u**3 + (-u**2 - 2*u**2 + u**2)*(-3*u + 0*u + 2*u) + 21*u**3 - 95*u**3 - 65*u**3.\nAnswer: -135*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**4\/24 - 13*f**3\/6 + 16*f**2. Let o be n(-13). Suppose o = p + 10 - 154. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - -1) - 2 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 551 + -2?\nAnswer: 54d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3021735 (base 10) to base 9.\nAnswer: -5615033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 27*o + 106*o + 1)*(-176 + 355 + 557) to the form i + w*o and give w.\nAnswer: 58144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8 + 184. What is the remainder when g is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2 + 6*x**2 + x**2 - 12. Let k(n) = 2*n. What is w(k(j))?\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275540 divided by 4.\nAnswer: 68885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(22)\/(5*(sqrt(2) + sqrt(8))) - (5 + sqrt(176) + -1)).\nAnswer: 24 + 118*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2 + sqrt(117) + sqrt(117) + -3)*1 + -4*(sqrt(117)*2 + sqrt(117)) + sqrt(117) + 1 + 2)**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/17)*c)**(-1\/20))**(10\/9) assuming c is positive.\nAnswer: c**(-5\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -958 - -1491. Let o = g - -54. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x - 2. Give t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(3\/(-14)*(-693)\/297).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -486 (base 9) to base 16.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 - -154. Suppose 0*p = -5*p + 50. Let n be (u - 65\/(-25)) + 4\/p. Which is bigger: n or 9\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 407*b**2 + 143. Let u(l) be the first derivative of 17*l**3\/3 + 6*l + 115. Let c(s) = 6*h(s) - 143*u(s). Let g(o) = -15*o**2. What is c(g(a))?\nAnswer: 2475*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.898, 2\/7, 97, -2, -1\/3, -2\/7 in increasing order.\nAnswer: -2, -1\/3, -2\/7, 2\/7, 2.898, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.06, 22?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 15*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*t**3 - 70*t**3 - 6 - 18 with respect to t.\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16654.595 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/(-111) - (-37)\/(370\/(-60)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -0.1, 2\/15, 758?\nAnswer: 758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/((-4)\/6) + 3. Let l(f) = f + 11. Let d be l(-8). What is the tens digit of 187\/34*(d + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91.7897 and -13.\nAnswer: 1193.2661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 704932810 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 5. Suppose -52 = -7*s - 87. Give d(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372266 divided by 4\nAnswer: 186133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 13) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -15 - (-2 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c. Suppose 0 = -c*j + 5*j. Suppose j = m + 5 - 1. Sort -1, 5, m in ascending order.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 0*j**3 + 3*j**3 + (0 + 0 - j)*(-j**2 - j + j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2605*k + 4473*k + 302*k - 526*k + 132*k - 3 + 3 - k + (3*k - 7*k + 2*k)*(-2 - 1 + 1) - 2 + 2 + 2*k as q*k + i and give q.\nAnswer: 6991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d)**(-3\/7)*((d**(-2)\/d)\/d)\/d*d**3)**44 assuming d is positive.\nAnswer: d**(-682\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0.5. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 84911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-75) - ((-3)\/15)\/(1\/53)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 197\/2271876 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Suppose 0 = -l - 5, -m*b = -2*b - l - 3700005. What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 2*b + 10. Let u be v(3). Let n = 3 + 0. Sort 1, n, u in ascending order.\nAnswer: u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 335*f**5 - 164*f**5 + 3 - 172*f**5 + 219*f**3 - f**5 + 4*f**5 - f**5 + (-f + f - f**2)*(3*f**2 - 3*f**2 - 2*f**3) + f**5 + 2*f**5 - 5*f**5.\nAnswer: f**5 + 219*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Let h = 50 - 54. Put g, -1, h in increasing order.\nAnswer: h, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*u + 1627 - 277 + 274 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/(-5) - 2\/5. Let t = l + 12. Find the third derivative of -2*h**t - h**2 + 0*h**5 + 4*h**5 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 14373.\nAnswer: 86238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -152 from -1.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:01 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 447023936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, 3, -3, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 3*f**2 + 2*f**2)*(4*f + f - 3*f)*(-1 - 3 - 4).\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 5:16 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (9337 - 3) + (67 - 61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 6}. What is prob of sequence zlzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-4)\/(-18) - 220\/99). Suppose m = 2*r - 0*w + 4*w - 368, 0 = -4*r - w + 729. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 43*a + 216. What is s(-8)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + (0 - -4) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -19. Let b = 7 + -5. Find the second derivative of -h*l + 6*l**b - 15 + 15 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 109604*r**4 - 109612*r**3 + 8*r**2.\nAnswer: 4*r**2*(r - 1)*(27401*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2651 + -1855. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {g: 1, t: 4, a: 1, u: 4}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*i = p + 20, 2*p + 15 = 3*i. Suppose p = -4*l + 6*l. Solve l = v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153823*c*u**2 + 188*c*u + 18980081*u**2 with respect to c.\nAnswer: -153823*u**2 + 188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 2, e: 1, r: 2, v: 1}. Give prob of picking 1 o and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = s - 5, 2*d - 15060 = 2*s. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -95, -229, -427, -695, -1039, -1465, -1979?\n\"Answer: -s**3 - 23*s**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from llbblbllf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 226124.8 micrograms?\nAnswer: 0.2261248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.063784.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let r = 6 + -9. Let j = 504 + -503.8. Sort v, j, r in decreasing order.\nAnswer: v, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**5 + 14*x**5 + 2*x**4 - 2*x**4 + 2*x**2 wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g - 3. Let x(f) = -10*f + 4. Suppose -8*j + 5*j = 18. Let u = 6 - 10. Let d be (-6)\/u*(-28)\/j. Determine d*b(l) + 5*x(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v**3 - 4 - 4*v + 4*v**2 - 7*v**2 + 3*v**2. Let l(s) = 7*s**3 + 3*s + 3. Let a be (6\/(-10))\/(7\/(-35)). Determine a*t(o) + 4*l(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1324344 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 279427316141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -10*t**2 + 265\/2*t**5 + 46 - 50\/3*t**3 + 0*t + 875\/12*t**6 + 195\/4*t**4. Suppose d(c) = 0. What is c?\nAnswer: -1, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -428 divided by 1\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 21. Give r(13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19016.\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = -11*y + 387. What are the prime factors of -2 + 3 + y - (-1083 - -10)?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005853687 to 5 decimal places.\nAnswer: -0.00585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*v + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209058605 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 4. Let x(y) be the second derivative of -y**3\/6 + 5*y**2\/2 - 5*y. Let q be ((-16)\/36)\/(1\/(-9)). Give q*x(m) + 5*f(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7 = -19. Suppose 0 = o*a + 3*a - 12. What is the third derivative of 3*f**a + 8*f**6 + 0*f**4 + 0*f**4 - 14*f**6 wrt f?\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38475 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-3)\/(-276)). Suppose -4*g = 6 - r. Calculate the remainder when g is divided by 3\/((-2)\/16*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235052474*g**4 + 2118566*g - 50 wrt g.\nAnswer: 2820629688*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6288.7 - -6289. Sort 4, s, 0.01, 0.2, -24 in decreasing order.\nAnswer: 4, s, 0.2, 0.01, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39987316, 79974634, 119961952, 159949270, 199936588, 239923906?\nAnswer: 279911224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 3*z**4 + 4*z**3\/3 - 1. Let c(p) = 0. Calculate p.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*q**2 + 2*q**2 - 5*q**2)*(-q - 4*q + 4*q) + 3*q**3 - 5*q**3 + 0*q**3)*(-116 - 30*q + 116) as v*q**4 + a + d*q**3 + x*q + i*q**2 and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 254\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 83*a + 42. Let h be m(2). Calculate the highest common divisor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3977664, 3977721, 3977778, 3977835, 3977892, 3977949?\n\"Answer: 57*u + 3977607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:07 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2, 4 in ascending order.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21610 + 0?\nAnswer: -21610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 10*b - 16. Let z be t(-15). Let f(y) = -60*y - 2. Let x be f(-1). Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*-2 + 18. Let z = p + -4. Solve -z = 5*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1265*y**4 - 55*y**2 + 29*y wrt y?\nAnswer: 30360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/2)\/((b\/(b\/b**(1\/8)*b))\/b)*b**(4\/9)*(b*b\/(b\/(b*b**(7\/4)))*b*b)\/b assuming b is positive.\nAnswer: b**(617\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/108*-2*(-1)\/(-24)*-24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-5.37631.\nAnswer: 26.88155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 11*h + 730. Suppose -4*w = -142 - h. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6800 is divided by 2254.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 1}. Give prob of sequence fff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 - 6*u + 2. Let y be q(6). Let g = -82 + 52. Let d be (-30)\/45*g\/(-4). Sort d, 4, y.\nAnswer: d, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 434*i**2 - 85*i + 1. Is h(4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 27*b**2 - 24*b - 48. Let q be n(26). Suppose -d = 3*d - 1272. Suppose t - 4*k - 246 = -2*t, 2*k = q*t - d. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11372848, -45491392, -102355632, -181965568?\n\"Answer: -11372848*c**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329248527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -52*k + 3. Let h be q(2). Let o = h + 197. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)*(-3)\/6 + 33. Let f = r + -23. Solve -14*l = -f*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27920*o - 308*o**3 + 55824*o - 27906*o.\nAnswer: -308*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96069.\nAnswer: 3, 31, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = -3*l, 0*l - 5*l = 3*w - 22. Suppose -l*o + 16 = 2*o. Let b(n) = -n**2 + 6*n - 3. What is the units digit of b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2*i + 2*i**2)*(i - 3*i**2 - 553 + 553) in the form w*i**2 + b*i**3 + k*i**4 + z + q*i and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10061*v - 74. Is g(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 13*v**2 + 4*v - 36. Give q(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178838347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.1. Let m = b - 0. Let i = -2 - -1. What is the closest to m in 0.3, i, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -105. Let l = 0.28 + -0.08. Which is the nearest to d? (a) 0.6 (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27.9 in 3, 5, 265.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**9\/720 - y**8\/448 + y**7\/420 + 5*y**4\/24 - y**2. Let h(n) be the second derivative of d(n). Factor h(m).\nAnswer: -3*m**2*(m + 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -33. Let a = 9 - -27. What is the greatest common divisor of a and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.705 times -1\nAnswer: 2.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -285*d**3 - 1115*d**2 - 1040*d + 100.\nAnswer: -5*(d + 2)**2*(57*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*l - 110 = -569 - 371 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 434. Let x be f(-16). Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 19 = f. Which is the biggest value? (a) 16\/3 (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4217*d**2 - 193*d - 9. Let p(u) = -u**2. Determine f(p(n)).\nAnswer: -4217*n**4 + 193*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47.05 and 2?\nAnswer: 49.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -37\/2 (b) 6 (c) -0.2 (d) -0.4 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127 is divided by 146.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(76) - -3*(3*sqrt(76) + sqrt(76)))**2*4 + ((0 + sqrt(76))*4 - 3*sqrt(76)*1)**2.\nAnswer: 51450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 353598000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -0.2. Let q = -10 - -13. Which is the nearest to -0.1? (a) 1 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*d - 146 = -10, -2*q - 5*d - 68 = 0. Let j = 580 + -1084. Let c = q - j. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.366, -0.3, -110 in increasing order.\nAnswer: -110, -0.366, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.539653mm in centimeters?\nAnswer: 0.8539653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0808769 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 4. What is the least common multiple of 15 and v(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72717 is divided by 202?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20032212 divided by -3?\nAnswer: -6677404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0380911 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -22. Let f be 31\/4 - (-1)\/4. Is 5 a factor of x*(-1 + -2 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(56)\/(sqrt(128) + sqrt(128)*2) + 1 + (-2*sqrt(700) - sqrt(7))*-4.\nAnswer: 1 + 335*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l**2 - 1. Let d be (-2 - -6)\/((-2)\/(-1)). Suppose -d*c = 3*w - 3*c + 1, -c + 2 = -4*w. Calculate u(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263518.\nAnswer: 2, 131759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130021121 (base 4) to base 9.\nAnswer: -634660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*3\/(-10))\/(-1). Let s = -18.671 - -18.571. Let h = -9 + 4. Which is the closest to 2\/7? (a) s (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcctjcttfjjttcrjcjr. Give prob of sequence cf.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 4*u + 9. Let h be q(6). Suppose -a + 4*a = h. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704186993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -11. Suppose -r*u - 1 = -7. Suppose 0*w + w - 4 = 0, 0 = -2*p - w + 14. Calculate the least common multiple of p and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = p - 5*j, -1839*j + 1834*j = -5*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 - 3*c + c**2 + 57 + (-6*c + 12*c - 4*c)*(-19*c + 5 - 5) - 2*c**2 - c + c.\nAnswer: -39*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6473523 is divided by 79.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*2\/(-140)*4*8512\/684. Factor -x*r - 128\/9 - 2\/9*r**2.\nAnswer: -2*(r + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098, 2591, 4084?\nAnswer: 5577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 27 = 3. Find the third derivative of -10*g**5 - 9*g**5 + 23*g**o - 3*g**2 wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -21 - 12\/35*u**5 - 2\/21*u**6 - 4\/21*u**3 + 0*u**2 + 0*u - 3\/7*u**4. Factor h(y).\nAnswer: -4*y**2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0.6, -78?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*k + 130, -6*k + 1626*a = 1628*a - 200 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + -6)*542\/6. Suppose 0 = -3*g - 2*y + 5893, -3*y = -g + 254 + 1725. Suppose -g = -6*t + v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 + 2. Let h(p) = -p + 14. Let r be h(7). Suppose 2*v - 27 = -r*v. Solve -14 - 1 = -b*q + v*u, q = 4*u + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -438*i + 279. Let p(t) = -880*t + 559. Let d(f) = 5*n(f) - 2*p(f). What is the first derivative of d(v) wrt v?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by (40\/35)\/((-3)\/(-42)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let o(g) = -3320 + 6574 - 3*g - 3285. Give o(v(j)).\nAnswer: -3*j - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001 - 0.01.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 843*i**2 - 5*i + 2. Let x be h(1). Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from fweewwfewwxnw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/((-756)\/1323)*148.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*s - 5*s. Suppose 7*p = w + 2*p - 439, -s*w + 2221 = p. What is the remainder when 6\/(-15) - w\/(-10) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56495?\nAnswer: 5, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:54 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/9))**(-48)\/(l**(-2)\/l*l)**(-9\/7) assuming l is positive.\nAnswer: l**(-838\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2344 + -2326. Let s(l) = 2*l - 46. Give s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(200)*1 - (sqrt(200) + -1 + (sqrt(200)*-1)**2 - sqrt(200))) + 1 + (sqrt(288) + sqrt(288) + 1 - sqrt(288)) + sqrt(288) + -2.\nAnswer: -201 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2102, 8515, 19162, 34037, 53134, 76447?\nAnswer: 103970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623685260 divided by 22?\nAnswer: 28349330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 25965727.6.\nAnswer: 25965727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108896 and 2324?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(2 - (9 - (-8 + 16))). Solve j = -6*x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:57 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-1*(sqrt(500) - (2 + sqrt(500))) - sqrt(500))*1 - (-3 + (-1*sqrt(80) - (sqrt(5) + 4*sqrt(125))))))**2.\nAnswer: 60*sqrt(5) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-5 + 17 - 9) + -18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c2 - 3c7e?\nAnswer: -3d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 11. Does 15 divide 268\/w - (-10)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -5 - ((-252)\/(-49))\/((-3)\/(-2)). Factor 2\/7*w**5 + 2\/7*w**4 + b*w**2 - 12\/7*w**3 - 6\/7 + 10\/7*w.\nAnswer: 2*(w - 1)**3*(w + 1)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -25*l**3\/6 - 65*l**2\/2 + 99. Solve u(z) = 0 for z.\nAnswer: -26\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -600841 equal to -600843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*u + 8. Find the second derivative of 2*s**2 - 30*s + 3*s + u*s**4 - 2*s**2 wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1, -1\/40, -3\/5, 148 in increasing order.\nAnswer: -3\/4, -3\/5, -1\/40, 1, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -12, 1\/9, -37\/8, 0.072?\nAnswer: -37\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236 - -23350?\nAnswer: 23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0243 - -1.0243. Let j = -169\/3451 + -2\/203. Which is the second biggest value? (a) 0.4 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 59649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20.8 * 0.4\nAnswer: -8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/7, 4233865, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492848191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 506 - 489. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55331138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106\/7 or -0.0967294?\nAnswer: -0.0967294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/13, 5, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 5. Let h be l(-8). Let a = -353\/6 - h. Let n = 2\/15 - 49\/30. Sort n, -0.2, a.\nAnswer: n, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 13*n**2 + 14*n + 28. Let r be l(-12). Suppose 3*q + 46190 = r*v, 5*q - 2 = 8. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 183, -3, 2, -1, -21\/13, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 90 + 211 - 213 - 2*q. Determine f(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = h - 1549, 5*h - 4*x - 7772 = -3*x. Suppose 5*z + 4*k - h = 0, z - 634 = -z - 4*k. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (0 - (-21 - -8))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 4*l**2 + 9*l - 4. Let x be i(4). Let g(n) = -n**3 + n**2 + 4*n. Let c be g(-3). Calculate the highest common factor of c and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*i - 41 = 6, 2*i = 3*a - 85. Suppose 192 = 34*j - a*j. Suppose 2*r = -50 + j. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157496029.\nAnswer: 67, 2350687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 128520 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 19678.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838, 3331, 7486, 13303, 20782, 29923?\nAnswer: 40726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -2*l, l + l + 4*a = -2. What are the prime factors of l - (1 - ((-2)\/(-1) + 672))?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/24 + 4 - (-325)\/30. Solve 0 = -4*v - 14*c + y*c - 14, 2*c = 5*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - k = 1034, 0 = 96*l - 95*l + 2*k - 522. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + j - 6. Calculate the remainder when 31 is divided by z(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253738.932 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 3*i + 2. Let p be ((-5)\/5)\/(2\/6). Let t be c(p). Solve -2*o + 8 + 4 = 2*y, 3*y + t*o - 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -19*l**8\/56 + l**4\/4 + 22*l. What is the third derivative of r(f) wrt f?\nAnswer: -2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15241 = -8*v + 2383. Let w = v + -1402. Suppose -8*k = -8745 + w. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 5. Let l be t(3). Let s be 4*(0 + (-9)\/6). Let u(k) = -k**2 - 8*k - 9. Let n be u(s). Solve -m + n*z = 14, 5*z - l = 4*m + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600.00006168 - 1600. What is w rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 62*k**2 - 39*k - 680. List the prime factors of l(-25).\nAnswer: 3, 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.61 + -78.8. Let d = 44 + m. Round d to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1578574, -1578666, -1578758, -1578850, -1578942, -1579034?\nAnswer: -1579126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1608852 divided by -7.\nAnswer: 229836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 25. Let c be n(2). Suppose -c*h + 63 = -67. Calculate the lowest common multiple of 327 and h.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**5*i*i*i**(-1\/6)\/i*i*i**(5\/4)\/(i**0*i*i)*(i**(1\/5)\/i)**(-48)\/(i\/(i*i**(-2\/5))*i)**50 assuming i is positive.\nAnswer: i**(-1471\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93, -286, -579, -972, -1465, -2058?\n\"Answer: -50*g**2 - 43*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*k**3 - 1 + 1)*(12*k + 6*k + 0*k + (-2 + 1 - 1)*(-2*k - 2*k + 2*k)) to the form h*k + s*k**2 + o + y*k**4 + u*k**3 and give y.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -18*m - 8*m + 43792. What are the prime factors of m?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 23, 2, 193273 in decreasing order.\nAnswer: 193273, 23, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/3 (b) -4 (c) 2\/17 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 13. Let m be 24\/10*5\/z. Let a(r) = r - 3. Let t be a(m). Solve -5*d = 15, -9 = 3*l + t*d - 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 22 - (-981 + 897)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 7*y + 1656 - 7*y.\nAnswer: -5*y + 1656","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 37 - 10. Suppose 0 = -2*m - 4*x + 16, 4*m - 5*x - 1 = i*m. Calculate the least common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/600)\/(24\/378)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/20 + 94\/10. Solve 6*u - 3*j - 6 = u, -4*u + j = -k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111230304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -1) + (-9)\/(36\/(-1648)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2895 and 67550.\nAnswer: 202650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 66, 16 in ascending order.\nAnswer: -2, 16, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y + 374. Let j be x(-34). Which is smaller: j or -5\/296?\nAnswer: -5\/296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, q: 1}. Give prob of sequence jf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*d = 19 + 11 + 300, 2*f + 82 = -4*d for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*j - 6825 + 6762, -5*d = -j + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29\/30 in -0.5, 13, 5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -47. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*w - 4 = 0, w + 9 = 5*h - 0*w. Let y = 3 - h. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -270948\/25 - -10836. Let r = -396\/175 - c. Let g = r - -1\/5. What is the nearest to -4 in g, 5, 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t*t)**30\/(t\/t**17*t*t\/(t\/(t\/t**(3\/10)))) assuming t is positive.\nAnswer: t**(-1957\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 9 + 35. Let p(o) = 6*o + 46. Let t(a) = a + 9. Let l(r) = -2*p(r) + 11*t(r). Does 6 divide l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 395376 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 694.8112mg?\nAnswer: 0.0000006948112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3123 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13199 - 11751. Calculate the lowest common multiple of 68 and w.\nAnswer: 24616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**4 + 8*z**4 + 1115*z**2 - 1113*z**2)*(1 + 5 - 5)*(-2*z + 6*z - 2*z).\nAnswer: 30*z**5 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61478505 - -1?\nAnswer: 61478506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 217186370 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2452505\/(-135184) + 18 - 1\/(-7). Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 426, -6, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1265 and 29183576.\nAnswer: 29183575.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(4\/7)\/(d**(-2\/11)\/(d*d**6*d)) assuming d is positive.\nAnswer: d**(586\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:49 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -280160*l**3 + 971*l - 34 wrt l.\nAnswer: -1680960*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let h(x) be the second derivative of 2573*x**3\/6 + 131*x - 2. Give p(h(i)).\nAnswer: 5146*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose -w = u, -2*w = -c*u - 0*u + 8. Solve t - 3*i + u = 0, 0 = -t + 4*i - 1 - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s - 45. Let i be (-2)\/(-18) - 14795\/(-495). What is the hundreds digit of t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*m**3 + 2*m**2 + 24*m + 15*m**3 + 8*m**3 + 18*m - 3 - 41*m in the form i*m**3 + r*m + a*m**2 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**4\/24 + a**3\/3 - 2*a**2. Suppose -2*c = 4*r + r + 7, -r - 5*c - 6 = 0. Let m = r + 4. What is w(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9751527 divided by 11763\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmotomtm. What is prob of picking 3 t and 1 o?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 2\/7 (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -704, -21293?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 - -80146\nAnswer: 80147.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 0*l**2 + 0*l**2)*(1 - 2 + 0) - 6 - 3*l**2 + 0*l**2 + 2 to y*l + t + n*l**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s**2 + 3*s - 2. Let l(o) = -4*o**2 - o + 1. Let h(x) = 6*b(x) + 17*l(x). Let v be h(-5). Suppose 3*w - 715 = -v. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 13) to base 3\nAnswer: 10112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132498.8ms to nanoseconds.\nAnswer: 132498800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53475301 + -0.5.\nAnswer: 53475300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 353909 and 983506?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/2 in -0.1, -0.4, -0.3, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 0 - 3*d**2 + 4 + 6*d - d**3. Let b be (105\/18 + (-2)\/(-12))*-1. List the prime factors of y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 - x\/6 + 1\/3.\nAnswer: -(x - 1)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -10, -8, 2\/7 in increasing order.\nAnswer: -10, -8, -0.4, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3631*m**3 - 50*m - 2*m**2 - 2 - 5*m**2 - 3629*m**3 + 3*m**2 in the form o + z*m**2 + i*m + x*m**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -2*d, 2*k - 4*d = -10 - 4. Differentiate 1 - 3*o**k + 2 + 3 with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 171499*y + 14920416. Calculate w(-87).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*s - 0*s - 18, 4*r + 5*s = 32. Calculate the highest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + -7463489?\nAnswer: -7463465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**6\/15 + n**3\/3 - 8*n. What is the second derivative of i(q) wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v - 4*v + (9 + 5 - 3)*(29*v + 4*v + 50*v) + 0 + 2 + v + v.\nAnswer: 914*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363348847.\nAnswer: 41687, 80681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 11*f + 51 = -25*f + 9*f, 21*g - 17*g - 132*f - 971 = -43*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*r + 449*r - 166*r.\nAnswer: 88*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168167 is divided by 19297.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 (base 10) in base 3?\nAnswer: 21011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.99 - 2. Let k be (((-12)\/(-64))\/(-3))\/(6\/92). Let o = k - -7\/12. Sort h, 0.4, o in increasing order.\nAnswer: o, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*k + 698 = -346. Solve 4*g - 20 = 4*o, 0 = 2*g - k*g + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*a = 13, -22 = -5*d + d + a. Let r(y) = 4*y**2 - 19*y - 5. Let p be r(d). Factor 1\/6*s**2 + p*s + 1\/6*s**4 + 1\/3*s**3 + 0.\nAnswer: s**2*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 2, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -4, -39, -7.\nAnswer: -39, -7, -4, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 0 + 5 + 5*k**3 - 3. Let j(y) be the first derivative of -2*y**3\/3 - 22. Calculate r(j(g)).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 43*a - 44. Let m = -54 - -38. Let n = m + 47. Calculate the remainder when i(-12) is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 285*d - 261*d + 624 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114694 is divided by 286.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 311 + 9\/(-54)*-6. Suppose 0 = 18*h + 1176 - s. Which is greater: h or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by -3 - (-54)\/3 - 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041837167 rounded to three dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + -171 + 156\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79.37269 litres?\nAnswer: 79372.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 2*c**3 - 5*c**3)*(36 - 158 + 132 + 140).\nAnswer: -1200*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 4*v**2 + 0*v**2)*(1 + 11 + 4)*(0 + 5 - 3 + (-1 - 2 + 4)*(1 - 3 + 4) + 0 - 3 + 4) as p + n*v + z*v**2 and give z.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 + -6 - (-68 - -74) - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 28*o - 19. Let p be j(2). Suppose -i = 5*z - 7, -4*i + p + 16 = -5*z. Calculate the least common multiple of 36 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**4 + x**2 + x - 1. Let g(q) = 8*q**4 - 14*q**3 - 20*q**2 - 8*q - 10. Let c(v) = -2*g(v) + 20*y(v). Factor c(o).\nAnswer: 4*o*(o + 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 20 = -3*o. Let u = -17 + -13. Let r be 3\/(-4)*(-16)\/u. What is the third smallest value in o, -3\/8, r?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38868, -78066, -117326, -156648?\n\"Answer: -31*c**2 - 39105*c + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 7*c - 5824. Let q = -233 + c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-8 - -7) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Suppose 4 = -2*h - l*b, 3*h - 2*b + 3 = -7*b. Suppose 239 = 4*k - 3*m, h*k + 66 = 2*m + 304. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099284 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5534*a**2*f**2*y + 1611*a**2*y + 6*a*f*y - 2*a*y + a wrt f?\nAnswer: 11068*a**2*f*y + 6*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3793498 or -3793497?\nAnswer: -3793497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085245587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 + 2*v - 1. Suppose 5*a - n - 2*n - 6 = 0, 0 = a + 4*n - 15. Let i = -1 - -2. Let f = a - i. Calculate y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1158 and 9650.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 10257.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + 55\/10. Let k = q + 0. What is the lowest common multiple of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40098400 and 9400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**2 + 12*v**2 + 0*v + v + 2*v**3. Suppose -5*p - 4 = -p. Let m be w(p). Which is the smallest value? (a) m (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(4 - 2*v - 4) - 1 - v + 1 + (-4 - 4*v + 5 + 0)*(36 + 70 + 13)*(-3 - 1 + 3).\nAnswer: 477*v - 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u + 282865 = 167666 - 222265. What is the highest common factor of 43 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, 1 k, and 1 x when four letters picked without replacement from xmxmrmxxrmrmkw?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**2 + 16*c - 26. Let l be q(10). Let k = l + 666. Let b = -1 + 3. Solve 2 = b*j - k*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23823.8 - 23824. Let d = 106.738 - -0.262. Which is bigger: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25451 + 25447. Let p(w) = 7*w + 53. Give p(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**5 + 3*o**5 + 0*o**5 + 8*o**6 - o**2 wrt o?\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.755 and -272.\nAnswer: -271.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q + 1 - 28*q - 6*q to b + g*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1741 - 484 + 182 - 2*k**3 - k.\nAnswer: -2*k**3 - k + 1439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*n = -4, -76507*c - n - 23 = -76510*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*g + 11*g + 300 = 22*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 53517\nAnswer: 1\/17839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**2\/3 - 70688*x\/3 - 23564 = 0.\nAnswer: -1, 17673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, -5, -32, -79, -152, -257, -400, -587?\n\"Answer: -r**3 - r**2 - 3*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2212637700 to the nearest one million.\nAnswer: 2213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 36 = -2*q. Suppose g - 2 = -q. Let b = g + 13. Solve 6 = -2*w - 4*k, -w + 3*k = -b*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50243 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33663, 68990, 104317, 139644, 174971?\n\"Answer: 35327*q - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 15 + -107 + -79 + 223?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2812950 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {c: 3, u: 3, p: 2, d: 1, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3 + 873*f**2 + 675*f - 196425 = 0.\nAnswer: -15, 15, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3103 - 5749 - 32218 = 169*l + 201*l for l.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*l = -2*l + 211, -5*l + 65 = u. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.8 - -14. Which is the smallest value? (a) l (b) 0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2084.8 times 63\nAnswer: -131342.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8544*h - 1248 = 8560*h. Sort -14, 0, h.\nAnswer: h, -14, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u - 55 = 44*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/267 and -74\/4095885?\nAnswer: 364533765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -738676 + 2974425\/4. Let i = 4905 - s. Find the common denominator of i and 30\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 17733212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -78. What is the greatest common divisor of s and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = g + 4*l, -l - 13 + 17 = 3*g. Solve -54*r = -g + 56 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 4, u: 1, a: 2, j: 1}. What is prob of sequence aaj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n**3 - 4*n**2 + 3*n - 1. Calculate the remainder when 61 is divided by p(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5450383 divided by 7?\nAnswer: 5450383\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1112.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -284, -419, -366, 7, 832, 2241?\nAnswer: 4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24888 is divided by 12438?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1128?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 13*g**2 + 7*g + 75. Let m be z(-6). Sort 3, -540, m in ascending order.\nAnswer: -540, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6372.7499 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-9)*162\/108.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*w - 11086 = 979*w - 1997*w for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {x: 4, k: 14}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 14) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4))\/sqrt(3) - (1 + (sqrt(5) - (-1*sqrt(5))**2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 9*j**2 + 0*j**3 + 11 - j**3 - j**2. Let b = -2 - -11. What is the least common multiple of n(b) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*m - 27 = 0, 3*b + 0*b = -2*m - 19. Let r be 6 - 5 - (-1 + 0). Put b, r, 3 in descending order.\nAnswer: 3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-48)\/(-18))*(-9)\/((-189)\/224)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 39\/5 (b) 0.1 (c) 0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4311698*i. Let h(y) = -5*y**2. Calculate h(j(a)).\nAnswer: -92953698216020*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2 - 5*r - 8. Let f(w) = -6*w**2 - 4*w - 7. Suppose 16*t - 18*t = -40. Suppose t - 45 = 5*g. Calculate g*f(b) + 4*j(b).\nAnswer: 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407714 divided by -33?\nAnswer: -42658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j + 311 - 169 = -379 - 368 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2148, 2146, 2144, 2142, 2140, 2138?\n\"Answer: -2*p + 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4356\/19 - 12992\/57. Let h = 0 + 4. Let z = 2 - 1. Put i, z, h, -0.2 in ascending order.\nAnswer: -0.2, z, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4915632518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddh when three letters picked without replacement from ahudrrd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**7\/840 - 7*a**6\/480 + 3*a**5\/40 - 5*a**4\/24 + a**3\/3 - 62*a**2. Factor i(h).\nAnswer: (h - 2)**3*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jturjrh. Give prob of picking 1 u, 1 h, and 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 34*b - 118. Let j be k(4). Suppose -2*z + g - 32 = 2*z, -3*g + 47 = -5*z. Let c = z - j. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12651019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34442 (base 5) to base 7.\nAnswer: 10165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9.05. Let l = 167\/20 - 43\/5. What is the second biggest value in l, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -57. What is the second derivative of -78*i - p*i + 25*i + 37*i**2 wrt i?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q**2 + 10*q + 36. Let a be j(-8). 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: Round -0.0105052 to four dps.\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86522*b + 43274*b + 43230*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(166\/166).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*a - 1503 = -322, -5*t + a = -2939. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.3 + 8. Let s = 14 + -15. Which is the nearest to s? (a) -1 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Solve -b*x + 0 = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 35*q + 409 + 491, 0 = 4*g + 6*q + 164 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l + 4. Let c be 46\/10 - 3\/5. Let d be x(c). Let s be -3*(-1 - d\/(-6)). Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 6, m: 2, q: 5, r: 1}. What is prob of picking 1 m, 1 v, and 1 r?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.88 + -103. Round w to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6658 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -0.4 (b) -3\/143 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3182 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305, -3, -1, -2 in descending order.\nAnswer: 305, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 2 + 883548*p**4 - 2*p**3 - 4*p**2 - 883540*p**4 + 10 - 5*p**2 to the form j*p**4 + h*p**2 + l*p + w + k*p**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37752 - -5?\nAnswer: 37757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5421161507.\nAnswer: 27697, 195731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*6*-1*sqrt(468) - (1 + -1*sqrt(468)*1 + sqrt(468))) + -5)**2 + -1.\nAnswer: 432*sqrt(13) + 16883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.518 plus -10?\nAnswer: -9.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 + 15)\/(1\/5). Put -173, -3, i in descending order.\nAnswer: -3, i, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 19, 114, 299, 604, 1059?\nAnswer: 1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -77*m + 246. Let f(k) = -8855*k + 28413. Determine -4*f(o) + 462*p(o).\nAnswer: -154*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/7 + 7113*o**2\/7 + 2044290*o\/7 - 2051400\/7 = 0. Calculate o.\nAnswer: -260, 1, 2630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -23.0008. Round w to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 8864559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -20*h + 756. Let x be n(36). Calculate the greatest common divisor of 5364 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 55?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a**3 + 246*a**2 + 6*a. Let i(v) = -7*v**3 - 82*v**2 - 2*v. Calculate 17*i(f) + 6*x(f).\nAnswer: f**3 + 82*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 12}. Give prob of sequence mm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:39 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-6)*(-1 - 1). Let u be n + (2 - 3\/1). Suppose -4*d - 2*z + 24 = -18, u*d - 41 = -3*z. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:51 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -17*i - 3. Let j be g(1). Let x be -11*(j\/6)\/((-3)\/(-9)). Suppose 3*h = -0*u - 4*u + 45, 5*h = 5*u + x. Which is bigger: h or 17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -802699 (base 10) to base 9.\nAnswer: -1453077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 922\/7 + -132. Let d = 1629\/8 + -204. Is d less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30) - (-210)\/(-36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101 (base 2) in base 4?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 8*a + 262. Let b be v(12). Suppose 0 = -26*f + b*f + 20396. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 15*r**2 + 23*r - 16*r**2 + 129 + 24*r**2 + 8*r**2.\nAnswer: r**2 + 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 10:38 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/25*(-3)\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 16*q**2 - 17*q + 8. Let l be k(-17). Solve -7*v + l = -9*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**6\/900 + d**5\/300 + d**3\/3 + 35*d + 2. Let u(c) be the third derivative of v(c). Factor u(s).\nAnswer: 2*s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.14 (b) -93 (c) -260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*r - 22 = 0, 8*o + 21 = 10*o - 5*r. What is the remainder when 210 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 13*s + 15 = 0. Suppose -2*b + 204 = s*w, -85 = -2*b + 5*w + 79. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 16961*p\/5 - 1165548\/5.\nAnswer: -(p - 16892)*(p - 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9) + (-2)\/3)\/(-2). Suppose -7*c + 760 + 59 = w. Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3 (b) 1\/9 (c) 0.11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13141385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*u**2 + 64*u**2 - 2509 + 3*u**2 in the form f*u**2 + w + l*u and give w.\nAnswer: -2509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 4*h**2 - h - 5. Let g be m(-4). Let j be (4\/10)\/(54\/51). Let i = -2\/45 + j. Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/36 and ((-641)\/(-6) + (-1)\/(-6))\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33273 - -0.45273. Put 2\/3, -3, f, 0.4, -5 in decreasing order.\nAnswer: 2\/3, 0.4, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.87827 from 8420573.\nAnswer: 8420555.12173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1134))\/(sqrt(22)\/sqrt(275)).\nAnswer: -225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0944 + -1184.\nAnswer: -1183.9056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6884, 6976, 7130, 7346, 7624, 7964?\n\"Answer: 31*b**2 - b + 6854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/40 + o**4\/8 - o**3\/4 + 2*o**2. Find u such that r(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l - 1. Let t(y) = 8*y - 1. Calculate -6*b(o) + 5*t(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eecnennnve. Give prob of sequence enee.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603453 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -672868, -672927, -672988, -673051, -673116, -673183, -673252?\n\"Answer: -a**2 - 56*a - 672811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 5*w + 11 + 5*w. Let y be x(8). Suppose y*s + 27270651 = -8129349. What is s rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599100.663 rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -155060 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10634, -5, -1, 1, 141, 0 in increasing order.\nAnswer: -5, -1, 0, 1, 3, 141, 10634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105694 - 69668. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -10. Suppose q - 6 = 2*i. Factor i*y**2 - 2*y**3 - 5*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202733 = 103*x + 91*x - 904237. Calculate the greatest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -581437\/4 - -146634. Let v = -1267 + t. Let p = -77\/12 + v. What is the biggest value in 1\/2, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7739412 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*l**3 + 161*l**3 + 143*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/20 - g**4\/3 + 5*g**3\/6 - g**2\/2 - 13*g + 2. Let w(s) = s**3 - 5*s**2 + 6*s - 1. What is 6*d(o) - 5*w(o)?\nAnswer: o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39536 is divided by 12323?\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 99. Suppose 0 = z*b + 2 - 42. What is the lowest common multiple of 2 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 45*i - 23*i - 27*i - 8*i. Let n(x) = 173*x. Give n(l(w)).\nAnswer: -2249*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12895425*q**2 + 68896285 wrt q?\nAnswer: -25790850*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103\/300 - -7\/75. Which is the nearest to 0? (a) -10.2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12765.996738 + -12766. Round b to five decimal places.\nAnswer: -0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3497 - 3507 = -2*p, 0 = -2*k + p + 3. Solve -k*h = -34 + 10 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 368 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = -9*c - 15, 0 = 2*c + b + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + -6*((-6*-2*sqrt(1216))**2 + (sqrt(1216) - -3*(sqrt(1216) + 0) - sqrt(1216))) + -5).\nAnswer: 576*sqrt(19) + 4202512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -313020 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36741556 is divided by 3859?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 900 = -81*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13.3*-54\nAnswer: 718.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -699 - -417. Let u = 498 + p. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104900 to the nearest one thousand.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -2*j + 2, -12 = -3*j - 2*u. Suppose -k = j*k - 30. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2 - -2) + -112 + 1)*1. Let k = -103 - q. Solve 7*m - k = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 49 - 18 + j**2 + 6. Suppose 16*w - 2 = -2. What is the units digit of u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -58*11\/22. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u + 2. Let m = u + 35. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 126326 = 3*c. Let j = c + 112163. Round j to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**9\/15120 + p**8\/3360 + p**7\/2520 - p**4\/6 - 3*p**2. Let b(m) be the second derivative of c(m). Solve b(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 582 and 58782.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 26\/(-6). Let q = 1 + y. Suppose 310948 = q*z - 19689052. Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(210)*2)\/sqrt(7))\/(1*(sqrt(6) + sqrt(42)\/sqrt(7)*3))*-3.\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 4, -4, -0.3, -3\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 83535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 799 = 5*p + 782, 11 = 5*p + 3*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 466, -4, 7 in descending order.\nAnswer: 466, 7, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7139\/345 + -479\/23. Which is the third smallest value? (a) 2 (b) -0.708 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18078 is divided by 4512?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4528620 (base 10) to base 3.\nAnswer: -22112002002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 1100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*n - 35, 6*n = -210*q + 208*q - 54 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*(sqrt(288) + 1 + sqrt(288)) + sqrt(288) + sqrt(288) - (-3*-1*sqrt(288) + sqrt(288)))*2*-5)**2)*5 + -2.\nAnswer: 144000*sqrt(2) + 5186023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14 - -12 - -34 - 2*2. Suppose 47*k - 51*k = u. What is the closest to 0.1 in k, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**6\/24 - g**4\/24 - 2*g**2 + 4. Let s(b) be the second derivative of r(b). Give s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457043?\nAnswer: 3, 7, 69383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000042174 to seven dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 6*r**2 + r + 3. Let g be (-87)\/17 - 16\/(-136) - -11. Give m(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*h**5 + 126*h**4 - 28*h + 14.\nAnswer: -2260*h**3 + 1512*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/47 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/(-9)*(-4)\/4*(-30)\/630*63.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17407, 34822, 52233, 69640, 87043, 104442, 121837?\nAnswer: 139228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.93 + -0.07. What is the fourth smallest value in -0.2, -2\/9, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**4\/12 - 5*o**3\/3 + 3*o**2 + 7*o. Let l(b) = 4*b - 39. Let n be l(8). Give g(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -615.686 + 615. Let v = w + 0.57. What is v rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1 + sqrt(171) + -1 + 3 + (sqrt(171) - (sqrt(171) + -1 + sqrt(171)))*4)**2 + -4)*-3.\nAnswer: -4605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:10 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) -2\/5 (c) 5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-124)\/(-16) - 3\/(-12). Let h = 14 - s. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67660 + 141508. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1185.5524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 17*l**3 + 9*l**2 - 7*l + 552. Let j(w) = 19*w**3 + 9*w**2 - 6*w + 552. Let r(o) = 7*j(o) - 6*p(o). Differentiate r(y) wrt y.\nAnswer: 93*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137041693 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/2700180 and 143\/385740?\nAnswer: 2700180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.12154.\nAnswer: 0.012154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, -7, -34, -61?\n\"Answer: -27*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 6*b**2 - 6*b - 4. Give l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 13 + -6 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.368939 + 0.031061. Let o = -13 - -8. What is the nearest to 0.1 in o, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 1 + 0*w**2 - 2)*((3*w - 5*w + w)*(-14 + 2 - 17) - 2*w + 0*w + 5*w).\nAnswer: 96*w**3 - 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -18, -5, 5 in descending order.\nAnswer: 5, 3, 2, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*i - 3*i. Let a be -4 - -4 - (-1 - -2). Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -106 - (-5 + 33)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 0 + 0 + (-5*b + 4*b + 0*b)*(6 + 1 - 4) + 3*b - 4*b + 2*b - 2*b + 0*b + 4*b + (-4 + 6 + 0)*(-2*b - b + 4*b) + 3*b - 3*b + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to -3\/634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m = -79 - 233 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 180 = 53*x. Let h(a) = -30*a + 128. What is the units digit of h(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3040 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 47. Does 2 divide (-188)\/z - 2\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 7 + (-48)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -379.433245 to the nearest integer.\nAnswer: -379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11540880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {e: 6, t: 1, p: 2, f: 2}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14677 and 1616728.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1654589653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, m: 4, i: 3, w: 1, o: 3}. What is prob of picking 3 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 28, 16?\n\"Answer: -12*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.92777388 to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31986 and 20994?\nAnswer: 111919014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/6 - 13*t**3\/6 - 10*t**2\/3 + 14*t = 0. Calculate t.\nAnswer: -3, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-3 - 1 + 2)*(-24 + 24 - 4*x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1733395.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 5*v + 4. What is g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 - 4?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/108)\/(-1 + 32\/30). Let h be (-3)\/r + (-1)\/(245\/170933). Let t = h - -700. Is t less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 2831936.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1829707 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 + 7*g**2\/2 - 4*g + 15. Let b = 22 + -15. Determine m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026171231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((106\/265)\/((-28)\/595))\/(5\/(-30))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 + t**2\/2 - 2*t. Suppose 0*i - 4 = 2*i. Let p be i - (5 + -2 + -3). Let z(o) = 2*o - 4. Determine p*a(s) - z(s).\nAnswer: 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 389, 244, 41, -220?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44374 or 44372?\nAnswer: 44372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + j)*(-3*j**3 + 4*j**3 - 2*j**3) + (14*j - 13*j - 11*j)*(30*j**3 + 36*j**2 - 36*j**2) to x*j**2 + c*j**3 + z*j**4 + v*j + u and give z.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 199362151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -11*l**3 + 31*l**2 + 19*l + 17. Let a(i) = -5*i**3 + 15*i**2 + 10*i + 7. Let m(w) = -13*a(w) + 6*v(w). Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2*z - 13. Let c be l(-3). Suppose 9*k - c = 16. Solve -2*j = r + k*r + 7, -2*j + 4*r = 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*24\/32?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(96\/(-18)))\/((-6)\/(-2)). Let w = 2\/141 - -413\/705. Which is the nearest to 0.1? (a) 2\/3 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 31*f - 198. What are the prime factors of k(8)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2 (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/((-204687)\/(-5814)))\/(4\/(-6)).\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 213245230 (base 6) to base 16\nAnswer: 39ffd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -491, -1\/4, -2\/75, -0.13, 0.4 in decreasing order.\nAnswer: 0.4, -2\/75, -0.13, -1\/4, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 + 6 - 3 - 3. Let c(j) = -7*j**2 + 2*j. Let q(s) = -15*s**2 + 5*s. Let l(b) = 5*c(b) - 2*q(b). What is r(l(m))?\nAnswer: 175*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -3.6922 (d) 0.4 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23528399737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-12))\/(3*1). Let t = k - 427\/180. Let x = t + 29\/10. What is the biggest value in x, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57876 divided by 53\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268.7 rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256451 is divided by 144?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5186*f**3*j**2 + 34*f**3*j + 8*f*j**2 - 3*f*j - j**2 + 844*j wrt f.\nAnswer: -31116*f*j**2 + 204*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 18, 4*c + 44 = 8*c - 2*q + 70 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 399*u**2 - 396*u.\nAnswer: -3*u*(u + 1)*(u + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398894387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6125 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 440 = 5*m - h, 0 = 3*m - 3*h - 468. Suppose r = 4 + 26. Calculate the remainder when m is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -8\/617, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 124. Let w(h) = -h**2 - 7*h - 3. Let u be w(-6). Let k be (u - (0 - -1))\/(-7). Which is the closest to k? (a) 1 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543764.\nAnswer: 2, 13, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 4. Let r be a(4). Let h = r + 9. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/2513, 16 in increasing order.\nAnswer: -6\/2513, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1726 - -1903. Calculate the lowest common multiple of 9 and j.\nAnswer: 32661","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 14 = 3*f. Let y be 15 + f\/((-6)\/(-9)). Solve -4*c = 4 + y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14198 and -16854656.\nAnswer: -16868854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + 2 + 2 + 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 3. Let q be j(0). Let t(d) = -d - 2. Let k be t(q). Let g(y) = 6*y - 1. Determine g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/5 + 20\/3. Suppose -3*n - f + 156 = 34, 5*n - 2*f - 218 = 0. Let x = -0.936 + 0.836. What is the nearest to -2 in x, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 2 + 8 + -34. Suppose 2*q = 7*q - 330. Let f = y + q. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, l: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/5 + 52*h + 1690 = 0. What is h?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 209.3. Let z = -19 - -13. Let g = z + 1. Which is the biggest value? (a) -1\/2 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2*g**2 + 3*g**2)*(-1 - 2 + 1) + (-3*g - g + 6*g)*(7 - 7 - 12*g) + (0*g - g + 3*g)*(0*g - 3*g + g).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7178 and 0.5.\nAnswer: -3589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36235 divided by -7247\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -0.3 (c) 0.7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let l = d + 1. Let a = l - -7. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-16) + 315\/6 + -12?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 230 = -2*t, -3*t - 6*g = -4*g - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*p - 24. Let l = p - -24. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-26)\/((i\/(i\/i**16))\/i) assuming i is positive.\nAnswer: i**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 6*o + 2. Let x be m(-3). Suppose -4*d - 5*a = -75, x*d + 5*a - 60 = -d. Solve l + d = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(304) + 0 - (2*sqrt(304)*-3 - sqrt(304)))*-6 - (sqrt(304)*1 + -4 + sqrt(304)*2 + -3))**2.\nAnswer: 6936*sqrt(19) + 790993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88382*x + 1016*x**2 + 2*x**4 + 328 + 88379*x - 176760*x wrt x?\nAnswer: 24*x**2 + 2032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1700)*2 + (sqrt(136)\/sqrt(4)*-1)\/sqrt(2).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 176 = 16*v. Let a = -20 + 25. Suppose -4*p + 16 = -2*g + 7*g, a*p - 20 = -3*g. What is the nearest to g in v, 1\/30, 3?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111010101010111 (base 2) to base 16.\nAnswer: -27557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530101793 by -5161.\nAnswer: -102713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1000110011010100011110?\nAnswer: 1000110011010100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1567 - -1?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -260412*s + 11615 wrt s.\nAnswer: -260412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 + 198 = 2*c. Suppose 19*i = 15*i + c. Let n = i - 27. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5 + 1144432*y**4\/3 - 54573384334*y**3\/3 + 48507852364*y**2 - 127331538880*y\/3 + 36380221696\/3 = 0. What is y?\nAnswer: 2\/3, 1, 95368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20191500 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13039 - 7199. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**6 + 2067259*z**4 - 3*z**2 + 465183 wrt z.\nAnswer: -720*z**3 + 49614216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -16. What is the smallest common multiple of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {l: 2, z: 5, g: 1, t: 4, w: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, q: 4}. What is prob of picking 2 q and 2 s?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.633599 + 4.5618. Round i to 3 dps.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**4 - 15*x**3 + 693*x**2 + 398494*x wrt x?\nAnswer: 24*x**2 - 90*x + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s - 9688*s**2 + 9180*s**2 + 0*s + 0*s**2 - 3*s**2 + 4*s**2 + (-s - 2 + 2)*(0*s + 5*s - 3*s) in the form k + d*s**2 + g*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111 - -11110110000?\nAnswer: 11011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.1 rounded to the nearest integer?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -94. Suppose -s = -4*s + 6. Is y\/12*(-4)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111001111110 (base 2) to base 6.\nAnswer: -1221342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.715604g to tonnes.\nAnswer: 0.000000715604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppk when three letters picked without replacement from {p: 6, k: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 156 in 4, 24, -2, -3\/8, -0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64113032, -64113030, -64113028, -64113026?\nAnswer: -64113024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 12. Let r(p) = 6*p + 27. Let y(t) = -9*g(t) - 4*r(t). Let j(z) = -28*z. Determine j(y(o)).\nAnswer: -84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8022771 divided by -52.\nAnswer: -8022771\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 520*s**3 - 252*s**3 - 265*s**3 + 0*s + 0*s.\nAnswer: 3*s**3 - 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 + 4*i + 10. Let s be z(-4). Suppose 0 = 3*f - f - s. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*m - 27*m - 198*m + 123*m)*(-126 + 41*m**2 + 126)*(-m + m - 3*m**2).\nAnswer: 34563*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4 and -48\/39852395?\nAnswer: 159409580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35080933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/3 - 36914*j**2\/3 - 73834*j\/3 - 12306 = 0. Calculate j.\nAnswer: -1, 18459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 100325*p\/2 - 10065105625\/4.\nAnswer: -(p + 100325)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34219 (base 10) in base 16?\nAnswer: -85ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 4*r + 4. Let o be (-3)\/(6*(-2)\/(-16)). Let c be h(o). Factor 5*w**3 + 2*w + 70*w**c + 49*w**5 + 3*w - w - 20*w**2 - 8*w**3.\nAnswer: w*(w + 1)**2*(7*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-318)\/1060)\/((-6)\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohhhhhhoooo. Give prob of picking 1 h and 1 o.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 448 + -464 + (28 - 2) + -94 + -2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -366*f. Let a(h) = 181*h. Calculate a(p(s)).\nAnswer: -66246*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4631366 is divided by 619.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 10*u + j + 77177, -8*u + j = -308705. List the prime factors of u.\nAnswer: 2, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*a**3*x**3 - a**3*x + 2*a**2*x**2 + 77*a*x**3 - x wrt a?\nAnswer: 174*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 4*z - 11. Suppose -2*q = -4*n - q + 28, 4*n - 4*q = 16. Let r be v(n). Suppose -2*d - 3*d = -o - r, -2*o = 10. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038728138 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -597?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/((-18)\/4))\/(68\/(-8874)). Suppose 3*z = r - 105. Does 35 divide (-790)\/(-12) - (3 + 19\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*q**5 + 0*q + 0*q**2 - 3\/4*q**3 - 1\/2*q**4.\nAnswer: q**3*(q - 3)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((((-37)\/74)\/((-2)\/(-4)))\/(33\/(-561)))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 161139126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 9, w: 5}. Give prob of sequence wwlw.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/28*53508\/(-56) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 55*h = 520 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:38 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185\/42 - 13\/14. Let a = 3 - g. Are a and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 21. Suppose -3*y + 8 = 2*c + 1, -6 = -c + y. Suppose -c*f = -22 + 97. Do t and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 318.\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015, 1475, 5625, 11435, 18905, 28035?\nAnswer: 38825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1404 - -1403.918. Put -3\/2, l, 0.5, -2 in descending order.\nAnswer: 0.5, l, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 4*x + 5. Let d be n(-4). Let s be 1\/d - (-96)\/20. Calculate the highest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/517, 0.2, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 38 = z, -2*p - p + 34 = 2*z. Let a be (-30)\/p + 1 + (-1 - -2). Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1226 + 2517\/2. Find the common denominator of x and 49\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 9*w + 4. Calculate r(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441328 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1195*w**4 - 2679*w?\nAnswer: 14340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1863 - 4?\nAnswer: -1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 36 - (-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -2*p**3\/3 - 2*p. Let n(u) be the first derivative of 3*u**2\/2 + 13*u + 2657. Give o(n(x)).\nAnswer: -12*x - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -64. Suppose 3*d - z = 10. Suppose -5*g + 6 = -d. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 6:21 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 9*u**2 - 3*u + 5. Determine g(5).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/3))**(-37)\/(l**(-4)\/l**6) assuming l is positive.\nAnswer: l**(-229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + y. Let u be 18 - (2 + -1 + -2). Suppose 0 = i + 3*s + s - u, 0 = -s + 5. Let k be n(i). Sort k, 0.3, 0.4 in descending order.\nAnswer: k, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) + 3*sqrt(1296)*-3)\/(sqrt(8) + -5*sqrt(72) - (sqrt(512) - (sqrt(512) - 1*sqrt(512)))).\nAnswer: 36*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1711319, 3422639, 5133959, 6845279, 8556599?\n\"Answer: 1711320*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -195625.73+-125592\nAnswer: -321217.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)*z)**17 assuming z is positive.\nAnswer: z**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypy when three letters picked without replacement from {s: 2, y: 2, k: 2, z: 5, p: 1, g: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1349 - -1350. Let w = 4 - 3.2. Is d bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*g - 215, 4*j + 2*g - 94 = 48. Solve -14*s + 52*s - j = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759178369.\nAnswer: 759178369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a39 - 35943?\nAnswer: -34a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**4 + w**2 + w - 1. Let r(o) = -39*o**6 - 12*o**4 - 24*o**2 + 12*o - 12. Let i(s) = r(s) - 12*x(s). Find the third derivative of i(j) wrt j.\nAnswer: -4680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 83. Suppose z = 43*u - 41*u - 4. Solve -5*c = 27 - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (10 + -3 + (-1 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120840639 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/12064 and -91\/2.\nAnswer: 12064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*p**3*t**2 + 3*p**3 - 53*p*t wrt t.\nAnswer: -86*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171.6 - 171.1585. Round v to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001463607965 to six decimal places.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 11 - 17. Suppose -2 - 4 = -y*b. Suppose -112 + b = -5*m. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 8*j + 13. Let f be z(9). Solve -b = -f*t, 4*b - 4*t = -t - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 4. Let n be h(3). Let s = -367982 + 2571697\/7. Let m = s - -597. Which is the biggest value? (a) m (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**3 + l + 1. Let b be r(-1). Let y(u) = -11*u - 80. Let m be y(-7). Let j be ((-2)\/m)\/(6\/b). Sort j, -4, -0.4 in ascending order.\nAnswer: -4, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*(i*i**(-17))\/i)\/i)\/((i**(-20\/9)\/i)\/i))**(-22))**(-21) assuming i is positive.\nAnswer: i**(-16324\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4429.\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 10. Let w(k) = k**2 - 3*k + 6. Let p be w(4). Let d be z(p). Solve -3*l = -l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 40, 1.\nAnswer: 2\/13, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9184 minus 9066288?\nAnswer: -9066287.0816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(5\/2)\/m)\/m)\/(m*m**(1\/2)))\/(((m\/m**(-4))\/m)\/(m*m*m**(-2\/5)*m*m)))**12 assuming m is positive.\nAnswer: m**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 29*t = 0. Is 1\/307 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*4\/6*-3. Let m = -10 + c. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -117. Which is the nearest to 51? (a) o (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 66\/(-121) + (-1784)\/(-44)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 - 9*h - 20 = 0. Calculate h.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 37, 31, 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 0.17. Let f = 3.46 - l. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12*k**3 + 88*k**2 - 320*k + 4. Calculate c(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 36. Let z be j(17). Let s = -9 + 3. Find the common denominator of 77\/18 and (z - 65\/(-16))\/(s\/(-4)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 4 + 2 + 11*k**3 - 13*k**3 - 8*k in the form g*k**4 + z*k**2 + d*k**3 + n*k + x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 940*t**3 + 44175*t**2 - 940*t - 44180.\nAnswer: 5*(t - 1)*(t + 1)*(t + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8589017 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654.4 + -0.2586827?\nAnswer: 7654.1413173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229800 = 467*a - 400650. What is the greatest common factor of 975 and a?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -195.95 and 5.\nAnswer: -979.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - i = 0, -4*i + 13 - 10 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*g - 30*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*w - 9*w - 33*w)*(-23*w**2 + 23*w**2 + 4*w**3) - 5*w**2 + 4*w**4 + 3*w**2 + w**4 to the form d*w**4 + b + f*w + c*w**2 + g*w**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/13)\/(a*(a\/a**(-14))\/a)*(a\/(a*a\/a**(-4)*a))**(-20))**8 assuming a is positive.\nAnswer: a**(10968\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) - 48\/(-2310)*-5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.497 - -1.377. What is the second smallest value in 1, 3, 2, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-429) - 106\/26. Sort 47, c, 2.\nAnswer: c, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)*v)\/((v*v**(9\/2)*v)\/v))**(-2\/11) assuming v is positive.\nAnswer: v**(41\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342570.\nAnswer: 2, 3, 5, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((42\/56)\/((-1)\/(-2))). Suppose -g = 4*g - 3*q + 8, -2*g + 2*q = b. Let t = 125 - 1129\/9. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 12) to base 3\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100226872367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3, u + u - 2*o = 136. Calculate the remainder when 193 is divided by u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5700) - 1*sqrt(5700)*1)\/(1*sqrt(18)\/(sqrt(6)*2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140011102 - -2?\nAnswer: 1140011104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67285 divided by 13457.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 856, 745, 560, 307, -8, -379, -800, -1265?\n\"Answer: x**3 - 43*x**2 + 11*x + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1)**(-1\/31)\/(n\/(n*n**(1\/4)))**(-36))\/((n**(-2\/3))**(3\/16))**(-15) assuming n is positive.\nAnswer: n**(-2713\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmllmmlm. What is prob of picking 2 l?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -58545*z - 1729. Is a(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44271 and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**2 - 56*u - 4. Let x(t) = -17*t**2 - 85*t - 6. Let c(j) = 8*g(j) - 5*x(j). Calculate the lowest common multiple of c(-4) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let f(r) = 3 - 4 + 10 - s*r. Let w(z) be the second derivative of z**3\/2 - 4*z**2 + 114*z. Determine -6*f(t) - 7*w(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 33. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18205858 to the power of 1\/3, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-24 + 0)) + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9879518.96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1402, 1404, 1406, 1408?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1062*i + 29527. Calculate t(28).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20017 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6821 and 7\/2687474.\nAnswer: 2687474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/8*3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25307 - -1320?\nAnswer: -23767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -0.7 (b) 4 (c) 2\/39 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:17 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.7681l in millilitres?\nAnswer: 311768.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9636 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4)*(-22)\/((-176)\/31)*(-8)\/(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -23*r**3 + 3*r**2 - 3. Let d(n) = 15*n**3 - 2*n**2 + 2. Let b(q) = 8*d(q) + 5*x(q). Suppose -3*h + 5*l = -0*h + 9, 4*l = -h + 14. Is b(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q. Let w be n(-5). Let s = -31 + 22. Let f = 26 + s. Solve -5*k + 4*b - w = 0, 7*k + f = 4*k + 4*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0 + 0)*(1 + 1 - 4)*(-103*j + 72*j - 107*j).\nAnswer: -828*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4\/3 + 2176*i**3\/3 + 212048*i**2\/3 + 5759168*i\/3.\nAnswer: 4*i*(i + 58)**2*(i + 428)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 55*c - 4. Let i be w(-27). Solve -t = -i + 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 + 5?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 12*v - 23. Suppose -2*u + 6 = -12. Let j be n(u). Which is the nearest to 2\/3? (a) j (b) 2\/11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4320) - (sqrt(4320) + sqrt(4320)*-1))\/(-1*sqrt(1210)) + (-4 + sqrt(3)*-1 + -3 - (sqrt(9)\/(sqrt(12)\/sqrt(4)) + -3)))**2.\nAnswer: 272*sqrt(3)\/11 + 5404\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/22)\/(10\/(720\/(-12))*12\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 918537, 918496, 918439, 918366?\n\"Answer: -8*q**2 - 17*q + 918562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 11*a = -2*f + 5, -2*f + 4*a = 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -245, -5\/2, -3, -2\/13, -1 in decreasing order.\nAnswer: -2\/13, -1, -5\/2, -3, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*f*r**3 - 2*f*r**2 + 21*f*r + f + 713*r**3 + 9668 wrt r.\nAnswer: 3174*f + 4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2172878534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9*d - 3*d + 6*d.\nAnswer: 12*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**5\/9 + 60548*n**4\/9 + 4618976*n**3\/9 + 29290096*n**2\/3 = 0.\nAnswer: -38, 0, 15213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -995 - -1599. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2. Let t(f) = 53*f + 11*f - 3 + 4 - 1. Calculate t(y(n)).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*54\/84?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 14*a**2 - 8*a - 24. Let h be 76\/190 - (-126)\/10. Let d be b(h). Suppose 5*j - 215 = -2*o, 3*j - 4*o = -j + 172. Is j smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2)**3*v**(6\/7)*v**3)**(-7\/4) assuming v is positive.\nAnswer: v**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/11 (c) -3\/10 (d) 2\/3 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Let n be (1 + 9)\/(z - -2). Factor 6*h - 4*h + 4*h**4 - 4*h**2 + h**5 - 3*h**n.\nAnswer: -2*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -11*f**8\/168 - f**5\/60 + 3*f**4\/8 - 49*f**2. Find the third derivative of s(t) wrt t.\nAnswer: -1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*u, -2*u - 3*u + 25 = 0. Let y be 2\/k + (-54)\/10. Let p(h) = h**3 + 16*h**2 + 4*h + 67. Let z be p(-16). Sort z, y, -1, -3.\nAnswer: y, -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 54*v - 2276. Let f be z(46). Calculate the greatest common divisor of 2132 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14118463.\nAnswer: 19, 127, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:27 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2099.9, -2\/465, 6, 1?\nAnswer: -2099.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q + 233*q - 1858 = -8407 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - sqrt(612)*4) + (sqrt(833)*-1)**2 + (sqrt(68)*-2*5 + sqrt(68))\/((-1*sqrt(12))\/sqrt(3)).\nAnswer: -9*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r - 240 = 0. Let c = 17 - 5. What is the highest common factor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(0 + 28\/5). Suppose -5*p + q = -p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 39.62402 millennia?\nAnswer: 475488.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 1482539*c - 41511876 = 0. What is c?\nAnswer: -1482567, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -3 + -2 - 0 - 6299998. What is x rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936*h**2 - 17*h + 17*h.\nAnswer: 1936*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {b: 1, q: 1, d: 1, v: 3, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 234. Determine n(57).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/(-55) + 3 - (-361020)\/3630.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 - (-7 - -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 26 = 2*b. Let u = -10 + b. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/9 - 22*i**3\/9 + 58*i**2\/9 - 2*i\/9 - 28\/3 = 0 for i.\nAnswer: -1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*x + 40. Differentiate 939 + 6*w - 8*w**x - 3*w - 984 wrt w.\nAnswer: -16*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**3 - 3*c + 30. Let h(d) = 2*d**3 + d - 1. Calculate 6*h(u) + t(u).\nAnswer: u**3 + 3*u + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(130) + 1*sqrt(130))*2)\/(sqrt(100)\/(sqrt(160)*5)).\nAnswer: -400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 684840.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9810.2 - 8391. What is h rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10. Suppose 2*j = 3*j - 2. Factor 3 + 3*x**p - j*x - 2*x**2 + 2 - 4.\nAnswer: (x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 813094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -299.1 (b) -10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -25*o + 21*o. Let u(y) = y**3 + 5*y**2 - 6*y + 2. Give u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1129 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17*f + 15*f + 7*f**2 + 0*f**3 - 8 + f**3. Suppose 4*n + 36 = -4*p, -2*p + 6 - 26 = 3*n. Calculate the remainder when 23 is divided by i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 358.57+-2430713779.4\nAnswer: -2430713420.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -280. Solve u = z*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -44 + 56 + -114 + 121.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 5*h = 0. Which is the nearest to -3? (a) -0.5 (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, -572, -1614, -3066, -4928?\nAnswer: -7200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 5:33 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 1598*w\/7 + 127620\/7.\nAnswer: 2*(w - 709)*(w - 90)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1449630 by 1755.\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 295 + 46. Calculate the remainder when l is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 7*t**5\/10 + 5*t**3\/2 - 42*t. Find the second derivative of g(m) wrt m.\nAnswer: 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364670 divided by 1.\nAnswer: -364670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/820638 and -163\/2268.\nAnswer: 4923828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 4*f - 3. Let u be p(5). Let h = -1 + u. Calculate the least common multiple of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0 - (-120 + 41)) + 0 + 319 + -319?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-2)\/(-1) + 1). Suppose 19 = -40*g + 66*g - 33. Solve 7 + u = -g*q + 3*n, -4*n + 13 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 187*r + 19881. Give s(-102).\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14425 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6591 + 79163\/12. What is the common denominator of p and (5\/18*1)\/(-14 + 100\/8)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.61 + 0.31. Let y = -27.3 - -23.3. Which is the closest to 0.2? (a) y (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 29278780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 14*g)*(2*g**2 + 12*g**2 + 0*g**2 + (2*g - 3*g + 0*g)*(-2 + 2*g + 2)).\nAnswer: -168*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 9407\/1768 - 3. Let f be 2\/(-1) - (-908)\/442. Let x = n - f. What is the common denominator of 19\/10 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2702539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28691 - -21803. What is g rounded to the nearest 100?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 3*l)*(2 - 2 + 2 + (2 - 3 + 3)*(2 + 0 - 1) - 2 - 2 - 2).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 454725670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(35\/10*-4*(-20)\/490)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a factor of 47012460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/2 + c + 4 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10 = -t, -4*t + 2*q = q - 7. Which is the third smallest value? (a) -1 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185937, 185936, 185935?\nAnswer: 185934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-10)*(-20)\/(-50)*2\/2*50?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 26 = 4*g, n + 2*g - 1 = -2. Let h be (-4 - n)*(0 - 1). Let x = h - -10. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1235 - 4721?\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 - 10 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 4*o + 6, -4*c + 2*o = -6. Suppose w - c = -1. Let m(h) = -h + 2. Let n be m(1). Solve w = f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2 - 2 + y - 2*y + 0*y + (-1 - 4 + 3)*(-2*y + 0*y + 3*y))*(-525 - 216 - 2043 + 604 - 2056).\nAnswer: 16944*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3465\/700 - (-2)\/40. Solve k*u = p + 2*p + 15, -2*p = 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.057 + 0.057. Let j = 0 + 0.1. What is the nearest to j in k, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, f: 7}. Give prob of sequence oo.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let t(c) = -46*c - 22. Let o(v) = 33*v + 15. Let l(d) = 7*o(d) + 5*t(d). Calculate -20*a(b) - 4*l(b).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 + 236302590*p - 4653242836725675 = 0. Calculate p.\nAnswer: 39383765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*3\/3)\/((-1)\/182). Suppose q + 314 = 5*a - h, -5*h = -a + 126. 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: Suppose 4*w + 20 = 8. Let u = w - -7. What is x in x**u - 4\/3*x**2 - 2\/3*x + 1\/3 + 2\/3*x**3 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 10 - 9\/4*l**4 - 3\/2*l**2 + 0*l + 3\/5*l**5 + 3*l**3. Factor q(r).\nAnswer: 3*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -2*y**2 - 17*y - 48. Let v be 1*(-3 - 0) - 2. Is 2 a factor of x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.00735 + -0.00735. Which is the closest to -37.7? (a) 0.4 (b) g (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2129 + 14500. List the prime factors of h.\nAnswer: 3, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-1989)\/(-34)) + -3 + (-8)\/(-3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 - (2 - 0)*299\/(-23). Solve -c*t = -28*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p + 586 + 604 - 1793 + 603.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.33461 micrometers in centimeters?\nAnswer: 0.003133461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75\/2 in -2\/12935, 2\/9, 0.1?\nAnswer: -2\/12935","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1332 - -110?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j = 62*j + 9*j - 1683 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3650)\/(-9125)*1\/(-11)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 404.\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 - 115. Solve 3*b + 4*o = 3, -k*b + 6*o - o - 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 355 in 0, 7, -15, 0.1, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334776661 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*q + j + 11, 0 = q + j - 4. Suppose -2*v - q*v - 50 = -5*p, -4*v = p. What is the highest common factor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + -3) - -2 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69236 - -62774.037. Let i = g + 6458. Let v = i - -3.81. What is v rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24282207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 5. Let d be (x - (-33)\/9) + (-7)\/(-3). Solve -3*w = -d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*c + 4583 - 2276 + 676*c + 130*c - 1376 wrt c?\nAnswer: 863","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -59884*r**2 + 2*r + 4. Let a be y(-4). Let m = 418148 + a. What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(t**2 - 3*t**2 + 0*t**2) - t**2 + 2*t**2 + t**2 + 6*t - 3 + 47*t**2 + 62*t**2 - 96*t**2 in the form p*t + o + i*t**2 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 3*n + 12*n**2 + 16 - 31.\nAnswer: 12*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*y + 49 + 61 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:22 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yny when three letters picked without replacement from {y: 4, a: 3, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 622 = -6*b. Suppose -3*z - 92 = -7*z. Calculate the greatest common divisor of b and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572437 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 2*n**2 - 2*n - 1. Suppose 2*t + 5*o = 33 + 6, -5*t + 51 = -3*o. Suppose 0*p - 2*p = -t. Suppose -2*b = b + p. What is x(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 4) + 19 + 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033369 is divided by 1842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001018551 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -2*v, -d + v - 3 = 0. Suppose -d*p + p - 137 = -2*f, -f + 67 = -2*p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 times 20457\nAnswer: -4909.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - 1.71. Let x = -0.3 + d. Let j = -288 + 289. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 35 = 4*b + 11 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1115, -1\/3 in increasing order.\nAnswer: -1\/3, 2\/11, 1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 1875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/83? (a) 0.1 (b) -0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23033629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -118, 5\/6, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.75 to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 - 7*y + 6. Let i be h(6). Suppose 2*c = c + 6. Suppose i*o = -o + c. Solve o*m - m = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 799 + -767. What is the greatest common factor of 24 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + (0 + 2 + 0)*(1 - 1 + 2) + (1 + 2 - 1)*(4 - 3 - 3))*(4*m - 2*m - m + (15*m - 81*m - 51*m)*(0 - 1 + 3) + 5*m - 2*m + 0*m).\nAnswer: 690*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 15)*(-4*r + 4*r - r)*(2 - 3 + 3 + (2 + 0 - 3)*(0 - 3 + 1) - 1 + 2 - 3) as y + c*r and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 2*x**3 + 16*x**3)*(-3 + 2*x + 3) - 4*x**4 + 2*x**4 + x**4.\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-624)*-32)\/((-153)\/(-1989)).\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.604 + 3.104. Let u = -2.2 + p. Sort -8\/9, u, 4\/11.\nAnswer: -8\/9, u, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*d - 1364, 9*h - 5*h + 2*d = 1092. Let w = h - 255. Solve -24 = -t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -934, -931, -928, -925, -922, -919?\n\"Answer: 3*k - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 16 + -4 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 - 11*d**2 + d**2 + 2*d - d**4 - 58 to the form a*d**4 + h*d**2 + b*d**3 + y + n*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Let a = 281 - 251. Suppose b + a*k - 26*k = 7, 4*k = -4*b + 4. Let c be (1 + -3)*3\/2. Let s(p) = -6*p + 3. Give b*s(y) + c*f(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(605) + 1 - -2*(0 + sqrt(605) - sqrt(605)))*-3 - (3 + 3 + 2 + sqrt(500) + -2))**2.\nAnswer: 1806*sqrt(5) + 9686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 316. Let t(a) = -3*a - 1. Calculate t(y(u)).\nAnswer: 3*u - 949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853900.\nAnswer: 2, 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 - -1420066.\nAnswer: 1420175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -26*n. Let b be 3\/7*(-7)\/(-1). Let y(r) = 15*r - 3 + b - 13*r. What is m(y(x))?\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -119*b + 3925. Let k be t(32). Calculate the highest common factor of 1677 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55\/4 (b) 1 (c) 1\/3 (d) -1049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y**2 - 26*y + 8. Let p be n(5). Calculate the remainder when 1563\/(-18)*-2 + p\/171 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(-2 - v + 2) - 4*v - 7*v + 8*v to the form d + m*v and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101010110101011110 (base 2) to base 9\nAnswer: -286608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -1, -3\/2, -102158, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**3 - 4*p**2. Let s(t) = 5*t**3 + 4*t**2. Let y(r) = -3*n(r) - 4*s(r). Find the third derivative of y(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b + 5019 = -77*b - 143*b - 4329 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(6*4\/(-40))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = s + 18 - 108, 3*s - 355 = -5*h. Calculate the remainder when 3626 is divided by s.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 23. Suppose 2*k - 20 = -4*n, 2*k - 4*n = 7*k - 26. Suppose k*j - 3 = d. Which is the third biggest value? (a) j (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/9, 5, 0.02, 3\/8 in descending order.\nAnswer: 5, 5\/9, 3\/8, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 2*g - 1. Determine x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8986*r**3 - 970264*r**2 - 26178984*r + 653184 = 0. What is r?\nAnswer: -54, 112\/4493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 14 = -2. Let i = 273 - 273. Factor i - 8\/5*q - 2\/5*q**g.\nAnswer: -2*q*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + -14 + (-11)\/88*-40 + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = -4*x, 33*u - 35*u + x + 8 = 0. Let m be (-13 + 3)\/(3 + -1). Let o = m + 8. Solve -u - o = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8109\/20 - -405. Calculate the common denominator of (-1*(-4)\/(-80) + -2)*-1 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5560*t**5 - t**2*x**2 + 175*t*x**2 + t*x - 2*t + 3*x**2 wrt t?\nAnswer: 111200*t**3 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 96 = 126, 4*o + 1 = 9*l + 52 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 15*q - 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17522 - -17522. Let v(y) be the second derivative of 0 + 0*y**3 + g*y**2 + 14*y + 1\/12*y**4. Let w(u) = u. Determine v(w(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 1 + 1 - 6 + 1. Let r(h) = 2*h - 6. Let l be r(5). What are the prime factors of o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6068151 is divided by 420.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1043a4 (base 13) to base 15\nAnswer: 77c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 2. Suppose 8*n + 40 = 8. Give x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 10. Let c be d(-7). What is the third derivative of k**3 + 2*k**c - 2*k**3 - 5*k**2 + 6*k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-15)*-3*18\/12. Put -1, 2, y, -5 in decreasing order.\nAnswer: 2, -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1454\/8493?\nAnswer: -1454\/8493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 540078 and 30.\nAnswer: 16202340","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t**3 + 2*t**2 - 5*t + 13. Let m(q) = -11*q**3 + 3*q**2 - 6*q + 13. Give 6*h(p) - 5*m(p).\nAnswer: p**3 - 3*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 - 224*z**2 + 224*z**2 - 4 + z**3 + 3 to the form v*z**4 + k*z**3 + t + j*z + w*z**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2468)\/(-20) + 2*3\/10. Let z = -69 + b. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7093506931 to three decimal places.\nAnswer: -0.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4 - (12 - (-1 + 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*c*d*r**2 - 2*c*d - 25*d*r**2 - 2*r**2 wrt c.\nAnswer: 43*d*r**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:14 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2098?\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 2. Suppose 0 = -2*g + 4 + 20. What is the least common multiple of d(7) and ((-32)\/g)\/(2\/(-12))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 13 + 22. Suppose -3*g - 32 = -4*w, 0 = -2*g - 0*w - w - r. Is (-100)\/(-2) - (-8 - g) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*4\/(-16))\/((-171)\/1824)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 12581 = 12629 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.04958005 to 2 decimal places.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001364 to 6 dps.\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 16, b + 3*u = -0*b + 24. Suppose -5*a + b + 58 = 5*z, -a = -4*z + 51. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-3))\/((-132)\/18))\/(2\/2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35176, 70385, 105604, 140839, 176096, 211381, 246700, 282059?\n\"Answer: b**3 - b**2 + 35205*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470001*x + 470001*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 158. Let h(v) = -6*v + 18023. Give h(g(c)).\nAnswer: -6*c + 17075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 49*t**2 - 2*t + 86. Let m be x(49). Let u be 5\/(-10) - (-219)\/6. Suppose 2*f + f = -u. Is m < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1276 - -1278. Let v(y) be the second derivative of 1\/10*y**5 + 0 + 1\/12*y**4 + 1\/2*y**3 + 1\/2*y**t - y. Give v(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:04 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 14*g**2 - 16*g - 5. Let d be l(-15). Sort d, 2, -5, 3.\nAnswer: -5, 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22010?\nAnswer: 2, 5, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1218.375605 to the nearest ten.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:13 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 4. Let j be ((-6)\/(-8))\/(p\/(-4)). Let z = 1036 + -1040. Which is the third biggest value? (a) -2 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -593a9 + -2?\nAnswer: -593ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393003?\nAnswer: 3, 13, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*s - 242 = 0, 23*s - 22*s = 2*x - 166. What is the greatest common factor of 196 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129089335.\nAnswer: 5, 25817867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 100, 64, -8, -128, -308?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 23. Let o be (-1)\/(q\/(-2))*76\/(-1). Let b = o - -35. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 42*j.\nAnswer: j*(j + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(17\/4)*o**4*o*o*(o**(9\/7)*o)\/(o*o\/(o*o**(-22)\/o*o)))**(-2\/47) assuming o is positive.\nAnswer: o**(265\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + 7 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 12, 5*b - 5 = -5*c - 0. Let q(d) be the third derivative of 1\/9*d**3 + 0 + 0*d**4 - 1\/90*d**c + 3*d**2 + 0*d. Suppose q(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -85, -143, -201, -259?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10927.595 rounded to the nearest ten?\nAnswer: 10930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l\/(l*l\/(l\/(l*l**(-9)))))*l)*l*l)\/((l*l*l**(-8\/5)\/l)\/l*l)*(l*l**1\/l*l)**(-2\/41) assuming l is positive.\nAnswer: l**(2153\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 1. Let j be h(-2). Suppose -j*w + 148 = -w. Let b = w - 51. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 4071?\nAnswer: 4070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51075208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 226245 divided by -40?\nAnswer: -45249\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46131 (base 7) in base 13?\nAnswer: 5457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -308, -238, -42, 346, 992, 1962, 3322, 5138?\n\"Answer: 11*x**3 - 3*x**2 + 2*x - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 1\/10 (c) 1\/2 (d) 0 (e) -206\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i = 53*i - 101*i + 7 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b362854 + -5?\nAnswer: b36284b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67500 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f. Let i(h) = -39*h. Give -4*i(r) + 9*w(r).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2 - -3))\/1. Suppose -h + 3*q + 21 = 0, c*h - 45 = 3*q - 12. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -117. Factor -1\/3*r**a + 0 + 2\/3*r.\nAnswer: -r*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/16)\/(-11) - (-22)\/(-8). Sort f, -5, 29, 4 in decreasing order.\nAnswer: 29, 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455 by -1159.\nAnswer: -455\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10 - (-518)\/630\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.9246 centimeters to micrometers.\nAnswer: 659246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*g = 303*g - 342. Let a = -223 - g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 6*u + u)*(1 + 2 - 1 - 1 - 2 + 1 + (-5 + 0 + 4)*(7 - 1 - 4) + 1 + 0 + 1 + 0 - 2 + 5) in the form l*u + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2 - 2 - 2*y**3) + 80*y**3 + 8735*y - 8735*y - 5*y**3 + 2*y**3 + 4*y**3 - 3 + 0*y**2 - 2*y**3 + 2*y**2 + 2 + y.\nAnswer: 81*y**3 + 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1214)\/(5 + -2 + -1). Calculate the common denominator of -39\/5 and x\/110 + 2\/(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20 and 27\/141640.\nAnswer: 141640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2, -0.1, -8\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -10) + (-173 - -207)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) -2\/5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 15607064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7939709 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5. Let q be 1*(16\/(-2) + o). Let p(k) = k**2 + 7*k - 4. What is the lowest common multiple of 16 and p(q)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z + 154. Let y be d(-17). What is the second smallest value in 0, y, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/17))\/g)\/g**(19\/6)*g*g**18*(g\/(((g**2\/g)\/g)\/g))\/g*g)**39 assuming g is positive.\nAnswer: g**(23569\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(1141\/(-5868))\/((-14)\/4).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c. Suppose -5*w = -w - 8. Let x = 18 - 16. Let y(q) = -2*q**x + 6*q**w - 2*q**2 - q**2. Determine b(y(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 k, and 1 i when four letters picked without replacement from {z: 4, k: 3, i: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at most -7362\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.770339*-293\nAnswer: -225.709327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.063973 * -199.\nAnswer: -12.730627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + j**2 + (6 + 24 + 3 + 1 + 2 - 1 + (0 - 3 + 2)*(-1 + 3 + 0))*(j**2 - j**2 - j**2).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39492997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 16. Let w = p + 6. What is the nearest to -1\/2 in -0.2, w, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 58\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -20 + (3 - (-27 - 4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55502730.\nAnswer: 2, 3, 5, 229, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 157, -6, -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-280)*5)\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003191 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**3 + 2*j**2. Let m be c(2). Suppose 8*a - m = 4*a. Suppose -46*o + 3825 = 34*o - 5*o. Calculate the remainder when o is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 35*r - 41. Is 40 a factor of h(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.07 + -9.2. Let m = c - -0.03. What is the smallest value in m, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 = -p, 4*p - 158 = -3*i. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/12 - 2225*t**4\/12 + 1480*t**3 - 192*t**2 - 3*t - 4. Factor o(i).\nAnswer: 5*(i - 888)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 40. Find the third derivative of -b*z**6 + 2*z**6 + 4*z**4 + 2*z**2 - 4*z**4 wrt z.\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 236. Suppose 4*d = 5*i - 41335, -z*i + 3*d - 8248 = -4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*z - 630, -3*o + z + 1884 = -4*z. What is the least common multiple of 12 and o?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7432478*s**3*z + 28210*s**3 - 2*s**2*z - 55*s**2 - s - 2 with respect to z.\nAnswer: 7432478*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926*a**2 - 1922*a**2 + 5780*a**2 - 1932*a**2 - 132*a**3.\nAnswer: -132*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 10747, -45, 1, -2, -5 in descending order.\nAnswer: 10747, 2, 1, 0, -2, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714439077 to the power of 1\/2, to the nearest integer?\nAnswer: 60946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -174, -226, -278?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = 3. Let q = a + -3. Let x be 13 - ((0 - 0) + q). Calculate the highest common factor of x and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - 0)*-41)\/(-1). Let f(w) = z + 43 + 5*w**2 - 82. What is f(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26883407.\nAnswer: 3803, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i + 0*i**3 - 3\/2*i**2 - 1 + 1\/2*i**4. What is the second derivative of r(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 3*y**4 + 37 - 37 + y**3 - y to l*y**2 + o*y**3 + h + x*y**4 + p*y and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -138037639, -276075273, -414112905, -552150535, -690188163, -828225789?\n\"Answer: o**2 - 138037637*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99095661031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 699*t**2 + 940*t + 39664. Calculate d(351).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = k - 18029, 4*k - 18014 = 3*k + q. Let u = k + -12455. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -246, -543, -958, -1491, -2142, -2911?\nAnswer: -3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 - 167095*q**3 - 1395786285*q**2 + 4188528595*q - 2792575210 = 0. Calculate q.\nAnswer: -16711, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*j = -f - 7, 0 = f + 2*j + 1. List the prime factors of (-182 + 0)\/(5 + -4 + f).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006117931414 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247805 by 6.\nAnswer: -247805\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n**(-1\/10)*n**(-1\/11)*n*n**3)\/((n**1)**(-8)\/((n\/(n**(-1\/9)*n))\/(n*(n\/(n**1\/n*n))\/n))) assuming n is positive.\nAnswer: n**(12131\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -88, -1, 4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -57ccb1 (base 13) to base 15\nAnswer: -2b2b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2012020120?\nAnswer: 2012020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.3 (b) -7 (c) -10\/127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3225173942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14)*(-7)\/(-18)*2403\/12282?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3409 + 3562.9. Round i to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)\/(((sqrt(11) + sqrt(88)\/sqrt(8) - sqrt(11)) + sqrt(11) - sqrt(11))*6 + sqrt(11)))**2.\nAnswer: 44\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 15*l. Let k be (23\/161*98)\/(2*-1). Give u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 186 = 2*y, y - 236 + 335 = 2*v. Suppose 5*h + 52 - 232 = 0. Calculate the greatest common divisor of h and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 41*a - 13. What is the hundreds digit of d(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3449 - 1760. Let t = -1688.9999994499 + c. Round t to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqfcwcq. What is prob of sequence qfcq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 577*d - 5180. Calculate n(-9).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/12))**(-4\/5)\/(w*w**4*w**(2\/3)\/w) assuming w is positive.\nAnswer: w**(-71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {q: 3, t: 5, y: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:00 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 96 - (-4 + 6 + 50 + 12)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91028*i + 229747.\nAnswer: -91028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 3)*(-3*d + 0 + 0) + d + 4 - 4 in the form n + b*d and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u*u**(2\/27)*u)\/u)\/u*u*((u\/((u\/u**(7\/4))\/u))\/u)\/u*u)\/(((u\/(u\/(u\/(u*u**(4\/3)\/u)))*u)\/u*u)\/(u\/u**(-7))) assuming u is positive.\nAnswer: u**(1313\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3609, 1\/2, 1\/22?\nAnswer: -3609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - y - 3*y)*(12870351*y - 12870351*y - 26020*y**2 - 19401*y**2) to x + o*y**2 + m*y + u*y**3 and give u.\nAnswer: 90842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 4 + 3 + sqrt(70)\/(sqrt(90)\/sqrt(9)).\nAnswer: 2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*c - 94675 = -3415*c + 66906 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261797956 and 2870?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 20*k**3 - 7*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11332 + -3133. List the prime factors of t.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((0 - 2) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20 - 4. Suppose s - 685 = -3*f, -5*f + 4*f = c. What are the prime factors of s?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(-1) + 1 + 144\/(-105)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1552*b + 0 - 1315*b + 1)*(1 + b - 1).\nAnswer: 237*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(7\/(-42)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10867192657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + q**3 - 2*q**3)*(54*q - q**2 - 1 - 54*q).\nAnswer: q**5 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 - 25*h**2 + 64*h - 219. Give g(5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let g be n(0). Suppose -3*l - 46 = -4*x, 2*x + g*l - 7*l = 30. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-6)\/60). Let w = b + -2. Sort 2, w, 2\/15 in ascending order.\nAnswer: 2\/15, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and -0.11.\nAnswer: 0.0407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5 - 4*j)*(j**3 - j**2 + j**2) - 2*j**4 + 18*j**3 + 4*j**4 - 16*j**3.\nAnswer: -2*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1161*b + 10449. Determine l(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -2*(-2*sqrt(152) + sqrt(152)))\/(sqrt(8) - sqrt(512)*-4))**2.\nAnswer: 19\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6369, -9434, -12499, -15564, -18629, -21694?\n\"Answer: -3065*i - 3304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y. Let n(p) = -164*p**2. What is n(g(s))?\nAnswer: -656*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1762 + 5011. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 28 = j - 5*j, 2*v - 6 = j. Let a(d) = -j*d - 2*d + 5*d. Let b(y) = y**2. Give a(b(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2. Let k(a) = 2*a - 4. Calculate -3*k(o) + 2*p(o).\nAnswer: -4*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/5720 and 101\/403260.\nAnswer: 806520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.1889mm in micrometers?\nAnswer: 151188.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 1bb5?\nAnswer: 1bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4788293 to the nearest integer?\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -4 + (-8 - -15 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -346470 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 695*s.\nAnswer: -5*s*(s + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 308454545 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 6, l: 3, g: 7}. Give prob of picking 2 g.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219423.\nAnswer: 3, 73141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, d: 9, m: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hffqfqfflfehffefq. What is prob of picking 2 e, 1 f, and 1 l?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -39561 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654358543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 450 - 288. What is the highest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14411 (base 7) to base 13\nAnswer: -1a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmqqqqqm. What is prob of sequence qbbq?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 7 = 3*x. Let c(q) = 4*q**2 - q - 1. What is the lowest common multiple of 8 and c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 2*k + 1. Suppose 4073 + 2752 = 85*a + 90*a. What is the remainder when a is divided by u(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 991 - 992. Which is the second smallest value? (a) s (b) -2\/5 (c) -4 (d) 4\/27 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 - 385 = -10*o. What is the highest common divisor of 217 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-579)\/45 - (77\/(-11) + 642\/90)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272512, 545020, 817528, 1090036?\nAnswer: 1362544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216378?\nAnswer: 2, 3, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -817, -820, -823, -826, -829?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z**2 + 2458799*z**3 - 2458875*z**3 + 114*z**2.\nAnswer: -76*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**3 - 3*r**2 - 3*r + 6. Let j(v) = 11*v**3 + 4*v**2 + 4*v - 7. Give -3*j(i) - 4*k(i).\nAnswer: 7*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 1)*(-2 - r + 2) + r**2 - 3*r + 3*r - r**2 + 5*r**2 - 2*r**2 - 4*r + 4*r + r**2 + (r + 3*r - 3*r)*(-3*r + 3*r + r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 9. Let a be 2\/(-8) - v\/8. Is 19 a factor of 32\/(-2*a)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*i + 601 = -74*i - 1015 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -7. Suppose s = 3*g + w*s - 9, g + 4*s = 3. Suppose -21 = -4*n + g*n - 3*r, -3*n = 3*r - 33. Solve 0 = 3*k + 4*o - 13, -5 = -4*k + o + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -304.9\nAnswer: 91.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, 355717, -6.\nAnswer: -6, -2, 0, 4, 355717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose 0 = -0*j - z*j + 64. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22413702339 less than -0.1?\nAnswer: -22413702339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*q**2*s**2 - 47394*q**2*y**2 - 2*q**2*y - 3*q*y**2 - 39*s*y**2 wrt s.\nAnswer: -136*q**2*s - 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 40 = 7*y. Suppose -2*q = -5*t + y*t - 10, 5*t - 4*q = -38. Do -31\/6 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6402*l**2*o**2 - 28*l**2*o - 1466*l*o wrt o?\nAnswer: 12804*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-105)\/10)\/3)\/((-1)\/2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -3)\/((-4)\/8). Suppose -3*v + n*v = -63. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 9*s + 1. Let q be k(-6). Let b be (1 + 0)*25*1. Let y = b + q. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 112285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97637789 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 133*d**4\/6 + d**3\/3 + 83*d. Is 12 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddxxd. What is prob of sequence xdd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14142065 (base 8) to base 11\nAnswer: -1893196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/24*(44\/4)\/55\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**4 - o**4 + 3*o**4 + (3 - 3 + o**2)*(51*o**2 + 3494*o - 3494*o).\nAnswer: 47*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a**2 - 7*a - 4. Let m(j) = -33*j**2 + 9*j + 5. Determine -7*c(r) - 6*m(r).\nAnswer: -26*r**2 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 16*c + 1. Let l be n(13). Suppose 9*v - 4*v - l = 0. Solve 2*i + v = -a, -3*a - 2*i = i + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*t + 8*t - 9*t)*(0 + 0 - 4*t + (t - 4 + t + 2)*(3 - 2 + 0)).\nAnswer: -106*t**2 - 106*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109389.906us to days.\nAnswer: 0.000001266086875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 9)\/(8\/2). Suppose 2*i - 19 - 5 = h. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42231 - 440031?\nAnswer: -1032312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6971?\nAnswer: 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19797819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.4.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/20 + n**4 - n**3\/2 - 7*n**2\/2 + n. List the prime factors of b(-8).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339545053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + n + 4 = 0, 4*n - 7 = 5. Suppose 0 = -5*l + 3*l + 26. Calculate the remainder when l is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q - 12. Determine x(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r - 31. Let f be w(10). Calculate the greatest common divisor of 174 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:42 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*j + 21 = 0, -481*j = -4*y - 483*j - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 2*o)*(-31*o + 757*o + 199*o + 181*o).\nAnswer: -2212*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 48251 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*c**2 + 368*c**2 - 133*c**2)*(3*c**2 - 1 + 1)*(0*c + 0*c - 2*c).\nAnswer: -342*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 5*y**3 - 2*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m - 1. Let y = 1232 + -1236. Calculate t(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -25. Let t be 2\/(-5)*12\/r. Let q = -0.275 - 0.125. Which is the closest to -0.1? (a) t (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737530713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 47. Let p = z - 5. Is p - ((-3 - -2) + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 37*n. Let z(t) be the first derivative of 7*t**2\/2 + 611. What is z(j(o))?\nAnswer: -7*o**2 - 259*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 - z**2. Let j be r(-1). Let b be (-8)\/(-3) - 6\/9. Find the third derivative of 5*d**4 - 3*d**4 - j*d**2 + d**b wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3*((-14469)\/17225)\/((-21)\/60)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 22 = 0. Let z = a + -7. Find n, given that -n**3 - 3*n**3 + 3*n**3 - n**z + n**2 - n + 2*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j*l*y - 622*j*y + 310*l*y - 7*y wrt j?\nAnswer: -2*l*y - 622*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.62885 nanometers to millimeters.\nAnswer: 0.00003462885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5772\/592)\/(((-185)\/(-592))\/(1\/(-6)))\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.97315 and -178.\nAnswer: -195.97315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-11)\/(-12) + -3 + 2). Let a be j\/(-21)*42\/(-12). Put a, 4, 0.2 in decreasing order.\nAnswer: 4, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -6, -12, -20, -30?\n\"Answer: -z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2 - 4 + 15*r - 69*r. Let p be v(-7). Let w = p - -184. Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o**2 + 2*o - 8. Suppose m + 5*z = -0*z + 7, 0 = m + z - 15. Let p(s) = 35*s**2 - 6*s + 23. Let k(q) = m*t(q) + 6*p(q). Is 11 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -224\/6411623?\nAnswer: -224\/6411623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 7957\nAnswer: 23871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 8*c - 7. Suppose -4*i = -3*q - 2*q + 43, 0 = 2*q - i - 19. Is 26 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 23 = 11*b. What is the nearest to -11 in b, -2\/5, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 17*y**5\/20 - 2*y**3\/3 + 15*y**2. Let q be b(2). Let u(j) = -45*j**2 - 200 + q. Let s(k) = -2*k**2. Calculate u(s(g)).\nAnswer: -180*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/96723648 and -191\/438060?\nAnswer: 483618240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60265.84765 rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-11)\/(-3) + (-44)\/66. Let o be (-2 - -3)*j - 32\/24. Which is the closest to o? (a) 2\/9 (b) 1\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (-4 + 0 + 6)*(-1 - 2 + 4) - 1 - 2 + 5 - 4 + 0 + 1)*(-2 - 3 + 1)*((-j**2 + 2*j**2 - 4*j**2)*(j**3 + 2*j**3 - 5*j**3) - j + j - j**5).\nAnswer: -60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k + 1\/30*k**3 + 1\/150*k**6 - 1\/20*k**4 - 1\/100*k**5 + 1\/5*k**2 + 0. Factor s(c).\nAnswer: (c - 2)*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/5, 68, -0.4, 0.04, 2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6939, -26632, -59153, -104256, -161695, -231224, -312597?\n\"Answer: 41*f**3 - 6660*f**2 - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*(-12)\/(-4))\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0*w**3 + 1\/2*w**2 - 1\/20*w**5 + 0 + 2*w + 0*w**4. What is the first derivative of q(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v. Let h(a) = 6*a**2 + 4*a + 3. Let w be h(-3). Suppose -5*n - 15 + w = 0. Let b(z) = z + 2*z + 4*z - n*z. Determine b(c(y)).\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x + 3, -64 = 3*f + x. Let z be 1 + -2 + 2 - f. Let h = -11 + z. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.573824845 + 0.57365. What is x rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + 2*r, -3*r = -2*x - 30. Let h = x + 20. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.6 (b) -0.15 (c) -337 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 61 + 95 = 3*t, -4*t = 4*g - 48 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*l + 27 - 2, -2*g + 10 = -2*l. What are the prime factors of 0 - (2 - 151) - g?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, n: 4, b: 6}. What is prob of picking 1 h, 2 n, and 1 b?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -16.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -7. Let h = 2574 - 2575. Which is the biggest value? (a) m (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r + 2*r + 13*r + (1 + 1 - 1)*(-4 + 4 + 2*r) + (0 - 2*r + 0)*(-3 + 6 - 4).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, 3, 958.\nAnswer: -4, -1, 0, 3, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujjjmjuuuujujj. Give prob of sequence um.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 196.4253 millennia?\nAnswer: 19642.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let x = h + -3.4. Let r = 8.9 + -8.4. What is the closest to 0 in 3, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 greater than or equal to 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8348 to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596269?\nAnswer: 29, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5324820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**3 + x**2 + 2. Let s be j(2). What is the highest common factor of 175 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 1)*(-2*j + 6*j - 3*j) + (0 + 2*j + 0)*(24 - 27 - 14))*(-4 + j + 4)*(-61*j + 11*j - 14*j).\nAnswer: 1984*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let l be u(-1). Let j be (3 - 2 - 8)\/1. Let x = -3 - j. Solve x*a - l*a - 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 4. Let d be b(-6). Let r = d - -1. Differentiate 5*q**3 - 6*q**r + 0*q**3 + 1 with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let s(i) be the first derivative of 2*i**2 - 1. Determine s(x(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 51\/2. Solve 2*b = 5*f + u, 4*f = f - 2*b - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161809, -161926, -162121, -162394, -162745, -163174?\nAnswer: -163681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22032 and 31331544.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.638464 rounded to 3 dps?\nAnswer: -0.638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 12*j - 3. Let k(b) = 28*b**2 + 88*b - 22. Let f(c) = 6*k(c) - 44*w(c). Let x(q) = -163*q**2. What is f(x(y))?\nAnswer: -212552*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5614 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1369 + 1367. Suppose 4 = -l - 2*h, 5*l = -5*h + 3*h + 4. Which is the biggest value? (a) z (b) -1.9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + 7663?\nAnswer: 7700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297830 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: Solve 25*f - 12 = 29*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -51. Calculate the remainder when (3015\/27 - -4) + (-2)\/3 is divided by c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**2 + 218617*q - 2. Let d(i) = -21*i. Give d(r(o)).\nAnswer: 168*o**2 - 4590957*o + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249717, -4, -2 in increasing order.\nAnswer: -4, -2, 249717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (24 - (0 - 2)) + (-16692 - -16695)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 35 - 81 = 0. Let a = z + 185. Is 53 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccchhccchhchh. What is prob of sequence chh?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 7:56 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 = -24*s + 604. Calculate the greatest common factor of s and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 - 3. Let t = -0.2 - 0.2. Let h = 96 - 670\/7. Which is the closest to h? (a) 1\/6 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:28 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.2. Suppose 3*s - 12 = -s. Suppose -12 = 4*w - 0*w, -s*w = 2*t + 19. What is the third smallest value in t, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**2 - 10*n**2 - n**2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -12*l**5 + 184*l**4 + 129*l**3 - 15*l**2 - 16*l = 0?\nAnswer: -1\/2, 0, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.03 (b) -123 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:52 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -590 - -597. What is the remainder when 42 + -2 + 1 - 1 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 15*j**2 + 3*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056012399 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**2 + 41*g**2 - 35*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76266)\/6690*(-75)\/(-9).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15904 and 1846?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in -5, 2, -1.83?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3.05 (b) -3\/8 (c) 0.2 (d) -1\/5 (e) -0.4 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 100*g**2 + 282*g - 871. Calculate r(-97).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039997843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*f**3 - 366*f**3 - 11*f + 205*f**3 in the form u*f**3 + v*f**2 + r*f + j and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 + 4*z. Let p(o) = o**2 - o. Let h(c) = -c**2 - 38*c - 20. Let k be h(-38). Calculate k*p(v) - 5*l(v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**5 + 5*i - 2. What is the first derivative of a(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5100 divided by 34.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o + 3*o)*(3 + 3 - 5)*(1 - 6 + 3).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5\/2 + 59325*p**4 + 782061696*p**3 + 3435857559552*p**2 - 6874843840512*p.\nAnswer: 3*p*(p - 2)*(p + 13184)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let m = -41822 + 41823. Solve -m + c = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 3*j + 7. Let f be i(-2). What is the remainder when (f + -1 + 3)\/((-3)\/87) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 63?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 13*h**2 + 7*h - 27. Let t(r) = 6*r**3 - 36*r**2 - 20*r + 83. What is 17*d(o) + 6*t(o)?\nAnswer: 2*o**3 + 5*o**2 - o + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, 937 in increasing order.\nAnswer: -3, 3, 5, 937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52817468 divided by 14036.\nAnswer: -3763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -16*i + 3. Determine g(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18550 (b) 3.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -0.004?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.667 plus 1784360824?\nAnswer: 1784360874.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 15. Let f = -34 + g. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/253 (b) 35 (c) 3 (d) 2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114053 + -351?\nAnswer: 113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 4*v**2 + 158*v - 33. Let g be l(-10). Let p(n) = n**3 + 15*n**2 + 23*n - 39. Determine p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/109862 and 89\/24632.\nAnswer: 1353060392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 10 + 22. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46550 divided by -245\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-5)\/(6 - 1). Let w be 2\/3 + (-14)\/(-6). Let u be 11\/(9 - 53)*-4. Solve -w*h - 18 = 4*b, s*h = 3*b + 4 - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 2*p + 2. Let n(m) = -m**3 - 4*m**2 + 4*m + 5. Let j = 2609 + -2607. Determine j*n(d) - 5*o(d).\nAnswer: -2*d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/4, 37 in descending order.\nAnswer: 37, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.4? (a) 0.4 (b) 31 (c) -1.9 (d) -13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7. Suppose a = 4*u - m + 2, -u - 4 = -4*m + 2*m. Suppose u = -5*l + l + 44. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 54180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -314, -313, -312?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1781.493 and 100845258.\nAnswer: 100847039.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1220112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110\/51 + -14\/17. Sort 3\/5, v, -0.1, 6 in decreasing order.\nAnswer: 6, v, 3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 18 + s**2 - 15 + s**2. Let j(u) = u**2 + 1. Let l(n) = -6*j(n) + 2*v(n). Let p(w) = -1 - w**2 + 1 + 2*w**2. Give p(l(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2016283897?\nAnswer: 2016283897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 9*r - 45*r - 2 to the form v + o*r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**5\/120 - 4*n**3\/3 - 5. Let m(b) be the third derivative of v(b). Let k(g) = 13*g**2. Calculate k(m(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47\/3 - -229\/15. Let g = -1.3 - -0.9. Suppose -2*q - 4 = 5*w, -9 = -q - 2*q. Which is the closest to i? (a) w (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -z - 4, -11*l + 6 = 2*z - 6*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3615 or -1763?\nAnswer: -1763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 7795 = 1525. Let a = u - 490. What is the greatest common divisor of 80 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2021840979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2983, 0.4, 2\/7, 7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:28 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Let h(q) = q - 4 - p + 0*q - 2. Determine h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277748 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 o, and 1 r when four letters picked without replacement from {o: 3, r: 2, m: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -521*j + 25013. Determine c(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162228 by -4.\nAnswer: 40557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 3. Suppose 2*u = 66 - 12. Calculate the remainder when u is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72178 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -348\/7 - 2\/7*v**2 - 10*v.\nAnswer: -2*(v + 6)*(v + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 10787?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 23*q - 406. Let s be d(35). Calculate the greatest common factor of s and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 = 0, -5*u + 15*d = 16*d + 30. Do u and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13241.664 minutes in hours?\nAnswer: 220.6944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291 and 631929489.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2. Suppose 0 = 3*o + 5*j + 22, 2*j + 0*j = 2*o + 4. Let r = 6 + o. Let z(k) = k - k + r*k. Give z(d(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j - j**2 + 52 - 22 - 14 - 17. Let r be s(-8). Solve -r*t + 2*t + 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1806.3285 * 0.1\nAnswer: -180.63285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112584 and 33?\nAnswer: 1238424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-1)\/1)\/((-11)\/11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kck when three letters picked without replacement from {k: 3, c: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 + 1. Let w(c) = -5 + c**2 - 8*c**2 - 4*c**3 - 4*c + 2*c**2. Let j(d) = 5*i(d) + w(d). Find the second derivative of j(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/54*24*(-60)\/2000*15*-10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 1199, 1801, 2403, 3005?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 5) to base 9\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqmoxxo. What is prob of sequence xox?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72565 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1949340 by 18390.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9297 (base 10) to base 2\nAnswer: -10010001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10)*b\/b**(2\/19))\/((b\/(b\/(b*b**8\/b*b)))\/((b*(b*b*b*b**12*b*b)\/b)\/b)))**(-13) assuming b is positive.\nAnswer: b**(520\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 1, -7.9, -0.7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:31 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 - 14 = j, -5*b = -5*j - 20. Let h be (-9)\/108 - (-1060)\/48. Solve -11 = b*g - 4*u, -5*g + g - 2*u = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 11*k**6\/720 + k**4\/12 + 4*k**2. Let b(h) be the second derivative of l(h). What is the remainder when 19 is divided by b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/((-60)\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1206 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555\/2 - 1*7\/(-2) is divided by 84.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50414939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002426281235 rounded to seven dps?\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 7*g + 1. Give f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 8316871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -53 + 5. Solve -3*j - 3*n = -3, -j + 4*n = -3*j + v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4 + 1 - h**3 - 4*h**3 to x*h + t*h**2 + y + q*h**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 928 = -l + 4*y, -3*l + 2784 = -y. Suppose -4*r = -2*w - 954, w - l = -4*r + 35. Calculate the greatest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.5. Let o = 7 + -11. Let l = -2.9 - -3. Which is the closest to l? (a) k (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 14.24\nAnswer: -5.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**3 - 150*q**2 + 285*q - 140 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*s - 108, -2*t - 87 = 3553*s - 3558*s. Solve s*k - 18*k - 4 = 2*o, 3*o = -k - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119.33 * 4.\nAnswer: 477.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, y: 2, c: 1, t: 2, u: 1}. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 470 = -m - 475, -m + o - 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/14*(-6)\/(-8). Let v = -1823 + 1818. Which is the nearest to 1? (a) -2 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by -6\nAnswer: 101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f - 14*f - 5 - 6. Let u(v) = 9*v**2 + 41*v + 6. Let h be u(-4). Let x be j(h). Solve 3*s + 4*i + 17 = 0, x*s - s - 17 = 3*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 10*p**2 - 8*p - 6. Calculate r(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let z be ((-8)\/6)\/((-34)\/51). Let n = z + u. Solve 8*l - n*l + 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-1)\/(-3) - (-208)\/192. Sort t, 1, 3, 61 in decreasing order.\nAnswer: 61, 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0*v)\/v*v\/(v**(1\/4)\/v)*(v*v*(v*v**(-1)*v*v)\/v*v*v)**(11\/7)*(v\/(v\/v**(-2\/5)*v)*v\/(v**(-2)\/v))**17 assuming v is positive.\nAnswer: v**(7673\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 12*w**2 + 11*w**2 + 7*w**2 + 5 + w. Let u be k(6). Suppose -u*h + 55 = -10*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*h + 35, 4*h + 20 + 123 = -5*n. Let z be (-2)\/3*n\/6. Solve -z*u = -2*s, 0*s + s + 1 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000431645 to seven dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-28)\/6)*-3. Let u(c) = -c**3 - 6*c**2 + 8*c - 3. Let g be u(-7). Let d = g - o. What is the smallest common multiple of d and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/2*2\/(-3). What is the second derivative of 2*a - 5*a**v + a**3 + a**3 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:08 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l**3 - 8*l - 20. Let f(g) be the second derivative of -g**5\/5 + g**3\/2 + 7*g**2\/2 + g + 31. What is 8*f(d) + 3*x(d)?\nAnswer: 4*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from kkkkkkkkkkkkkkkklk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 3*o**2 - 2*o**2)*(0 + 5 - 2)*(-4*o**2 + 6*o**2 + 0*o**2).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -z + 2*p - 21, 3*p = 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 204136749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*o = 16379, -8*x + o = -4*x - 32813. Suppose -753 + x = 3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12761701 divided by -3?\nAnswer: 12761701\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*d - 479*d**2 + 1 - 1 + 475*d**2.\nAnswer: -4*d**2 + 50*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + f)*(0 + 5 - 3 + (1 + 1 - 1)*(8 - 2 - 2)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 1b0207?\nAnswer: -1b0210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.96 - -52023746.\nAnswer: 52023744.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12423518 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 1:10 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -2, -3, 10 in increasing order.\nAnswer: -3, -2, 0, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93450179 to the nearest integer?\nAnswer: 9667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1036 + -1021.74. Let i = 54.3 - 40.3. Let r = i - s. Round r to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - 10 = -b, 5*s = 4*b - 6. Suppose 5*o + 2 = 3*k + 4, -2*o = 5*k - 7. Does 9 divide -2 + s - (-9)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 94*b**2 - 17*b - 1598. Let i be f(-94). What is the closest to 1 in i, -13.3, -0.4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 420142542 + -15?\nAnswer: 420142523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6390 + 6390. What is the closest to k in 1.1, 2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -79c3?\nAnswer: 79c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -11. Let x be (-2)\/4*18\/t. Solve 8 = r + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - -1715c?\nAnswer: 17212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let w be 1\/2*(-1 + c). Let n = -0.0731 + 5.0731. Sort n, w, -3 in descending order.\nAnswer: n, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcccfc. What is prob of sequence ccc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8655.4762 to 0 dps.\nAnswer: 8655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*107162729.\nAnswer: 428650916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(-15\/11) assuming a is positive.\nAnswer: a**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76123939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1 - 2 + q + 2*q - 2*q + 3*q + (16*q + 115 - 115)*(2 - 2 + 2) - 5 - 3*q + 5 + 4*q - 2*q + 0*q as f + t*q and give t.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/11 - -2\/55. Let n = -0.03693 + -115.96307. Which is the third biggest value? (a) n (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2. Let g be k(1). Let o(m) = -4 - 3 - m**2 + 3 - m - m**3. Give o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.7. Let k = q + 3.6. Let l = 2.90055 - k. What is l rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474486576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2044.955 decades?\nAnswer: 20.44955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 5*g + 5. Suppose 2*v + 0*r = -3*r + 18, -4*v - 8 = -5*r. Let n be d(v). Let j(k) = -6*k**3 + 2*k**2 - 1. Determine j(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 12*w - 92*w = 2808 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814.3935 litres to millilitres.\nAnswer: 814393.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121916721.\nAnswer: 107, 10485203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 153.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l - 60 = -51*l. What is the greatest common divisor of l and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o)\/o*o\/(o*o**(-1\/3)))**(-14\/5) assuming o is positive.\nAnswer: o**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 228*v**2 - 712*v - 83. Calculate o(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 2*u**6\/15 - u**5\/15 - 11*u**4\/6 - 4*u**3 + 9*u**2. Factor q(h).\nAnswer: 4*(h - 2)*(h + 1)*(4*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2638 and 77\/13752.\nAnswer: 18138888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-3)*183*(-48)\/88816\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 480. Find the second derivative of -7*s + 3*s - b*s**4 + 154*s**4 wrt s.\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by ((-186)\/(-18) + -7)\/((-2)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(40\/19 - 2). Let z(d) = d**3 - 7*d**2 - 7*d + 5. Let u be z(8). Let t = u - m. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*b = 0, 5*o - 4*b = -b + 22. Suppose o*r = r + 10. What is the remainder when 33\/44 + 3\/4 - 1155\/(-42) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7307 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -19\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 3*a + 3*a)*(-75456*a - 3913*a + 4214*a) to d*a + r + n*a**2 and give n.\nAnswer: -150310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 1}. Give prob of sequence yw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 2*r**2 - 2*r**2)*(-3*r + 2 + 2*r + 0*r)*(-6137 + 2902 + 2970).\nAnswer: 265*r**3 - 530*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.09601 - -0.00799. Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/((-7)\/(-8)). Let d = -310 + 309. Which is the closest to -4? (a) d (b) 1\/10 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 - 3*z - 2. What is o(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10*c = -2048. What is the remainder when c is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 2:42 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3)\/2 - -2. Let t be (h\/4)\/((-1)\/2). Let j be ((0 - 0)*1)\/t. Sort -1, j, -5 in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 54365422?\nAnswer: -54365413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from mvmvvmmmmmvmvmvv.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 574704768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2474 - -5244. Calculate the greatest common divisor of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+12120773562\nAnswer: 12120773571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 48a?\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0265403 rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(1900)*-2 - sqrt(1900)*-1*2)*4 + -1.\nAnswer: -80*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1. Let u be -3 + 2 + (4 + -3 - -4). Suppose -8*y + 12*y + 4 = 0. Let n(h) = -2*h + 2. Calculate u*k(c) + y*n(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -955 + 255. Suppose n - f = 1. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 124, 143, 178, 235, 320?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 7 + 34 - 27 - 4*o + o.\nAnswer: -3*o + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.00022 - 49. What is g rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 55 - 3*o**2 - 55 + 0*o**2 + 2*o**3. Let l be (6 - 10) + -1*3. Let d(k) = 5*k + 37. Let h be d(l). Calculate c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, -40, -109, -158, -181, -172, -125?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -2\/9 (c) 25 (d) -13735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 15*f**2 - 22*f - 11. Determine u(16).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = -3*o - 12, -3*o - 15 = 4*i. Let r(k) = -k**3 - 9*k**2 - 7*k. Let b be r(o). Let c = b + -26. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 18707094?\nAnswer: 5\/18707094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 8:00 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(10\/15) + 8 + 1. Suppose 379*g + 8 = 375*g. Which is the second smallest value? (a) g (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, h: 2, b: 6}. Give prob of picking 3 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4903.\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.177?\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10725 and 93665?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 25833 in descending order.\nAnswer: 25833, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = 2. Let f(c) = -c**3. What is f(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = 22. Let i be (-376)\/20 - s\/20. Which is smaller: i or -18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2288*q**5 - 5*q**2 + 55*q**4 + 39*q**4 - 5 - 2290*q**5 - 5*q**2 - 3*q**2 wrt q.\nAnswer: -120*q**2 + 2256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100*28\/560 - (10 + 0). Let g be (-4)\/(-3) - 8\/4. Sort g, 9\/2, f.\nAnswer: f, g, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/4 + 84*i**3 + 1017*i**2\/4 + i - 339 = 0.\nAnswer: -2, 1, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 1, w: 1}. Give prob of sequence idw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-105) + 6\/(-15). Suppose 5 = -b - 4. What is the biggest value in y, b, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -778, -785, -802, -835, -890, -973, -1090, -1247?\n\"Answer: -n**3 + n**2 - 3*n - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*z = -26, -z = -f - 2 + 4. Suppose -f*c + 177 = -467. Let t = -12 + c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 - -179 - (-37 - -150)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:29 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301844 and 8?\nAnswer: 603688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310568 is divided by 2335?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -283. Suppose k*o - 284*o + 5 = 0. Solve t - 27 = o*s - 3*t, 5*t = -4*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 3*q**4 - 8*q**4 + (1 + 2 - 2)*(2*q**4 - q**2 + q**2) + q**4 + q**4 - 3*q**4.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1458\/49 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10 + b**2 - 2 + 10 + 11.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81404707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 36. Let c(v) = 2*v + 5 - 4*v + v**3 + v. What are the prime factors of c(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(4\/23)\/s)*s)\/s)\/(s**(3\/7)\/s))\/(s*(s\/(s**(-25)\/s))\/s*s*s\/(s*((s\/s**10)\/s)\/s)) assuming s is positive.\nAnswer: s**(-5893\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 490 - -177. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23001002320 + 111?\nAnswer: 23001003031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2*6\/(-972)*-9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2136.\nAnswer: -1\/2136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004825377826 rounded to seven dps?\nAnswer: -0.0000483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/79130121 and -5\/158260242?\nAnswer: 158260242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4\/5 (c) 2\/7 (d) 2\/21 (e) -5 (f) -0.4 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11680367.\nAnswer: 41, 347, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28837 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -81199.\nAnswer: -38\/81199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)\/(n\/n**5)*n*n*n\/(n\/n**(1\/8))*n\/((n\/(n**(13\/5)\/n))\/n)*n assuming n is positive.\nAnswer: n**(149\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 124\/8*1*-2. Let s = r - -35. Solve -9*t + s*t**2 + 13*t - 12*t = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10994*q**4 - 54*q**3 - 10565*q + 1 wrt q.\nAnswer: 131928*q**2 - 324*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14728 or -14611?\nAnswer: -14728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 2*n**2 + 27*n**3 + 6*n**2.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = n - 4*j, n - 14 = 4*j - 8*j. Suppose -n*v = -0*v + k - 17, 2*k = -5*v + 40. Solve 4*l + 2*i - 8 = 0, -l - i = -v*i - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/30 - 4*i**4\/3 - 2*i**2. Let p(z) = 36*z - 4*z - 6*z - 29*z + z. Calculate p(n(a)).\nAnswer: 4*a**2 + 64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85896782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4008128.\nAnswer: 2, 62627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -16 (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*o - 5*f, o + 3*f - 6 = 34. Solve 3*j - 5*x + 10 = 0, 4*j + o = -0*j - 5*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 29 = 49*l - 45*l, -4*r - 4*l + 48 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -103120001310 (base 4) to base 9\nAnswer: -10501256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - 2) + 4 + (28 - 26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 1, z: 1, c: 2, b: 1}. Give prob of picking 1 b and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 545\/7 + -6533\/84. Let x(k) be the first derivative of 8 - 1\/18*k**3 + 1\/3*k + v*k**2. Factor x(s).\nAnswer: -(s - 2)*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9763\/312522 + -2\/3189. Calculate the common denominator of a and -49\/2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2. Suppose -376*l = -382*l. Let i(h) be the second derivative of 0 + 1\/6*h**4 + 0*h**2 + 20*h + l*h**3. Determine i(w(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20 + -17 + (-3 - 8033*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -574? (a) -3 (b) -9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 344 = -4*u - 81, -2*m - 103*u - 20 = -50*u + 29 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -485 - -481. Sort 4, -2, -6, b in increasing order.\nAnswer: -6, b, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1195 = 1015. Calculate the greatest common divisor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*n - 3, -x - 4*n = 2*x - 4. Suppose -4 = -x*u - 2*u. Suppose -u = 3*i - 4*i. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8694 and 16922871?\nAnswer: 33845742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 5, 3, 13, 1 in descending order.\nAnswer: 13, 5, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 22 = 167. Let z = n + -16. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10287 + 8066. Suppose -5*r = 3*t - k, -8871 = 3*t - 5*r - 27244. Suppose 0 = 3*p + t + 4679. Round p to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 40. Suppose -k*i = -10*i + 62. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m - 178. Calculate the remainder when 210 is divided by w(26).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 38392334?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/100 - 75*h**4\/8 + 947*h**2. Factor c(j).\nAnswer: 3*j*(j - 375)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1415?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 203, -1\/2?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(1*sqrt(143)*-1 - sqrt(143)))\/((sqrt(132)*3)\/sqrt(12) + (sqrt(11) + sqrt(11) + sqrt(66)\/sqrt(6))*1).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1715466901 to the nearest integer?\nAnswer: 41418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1661813833743 from -0.026.\nAnswer: -1661813833743.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(4\/60). Put r, 1, 4 in decreasing order.\nAnswer: 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*q = -10*n + 30, 2*n - 11 = -q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -661 + -61.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 65*g - 171. Let v(o) = -o**2 + 32*o - 85. Let j(w) = -3*t(w) + 7*v(w). Is j(16) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262881 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -813*s + 4084. Determine k(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -10134143?\nAnswer: -10134213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:20 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 1077, 1645, 2213, 2781?\nAnswer: 3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63130 by 1.\nAnswer: 63130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = 2*q - 5*q + i + 155, -8*q + 2*i = 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.10178, 469, -0.1, -1\/4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151 - 152. What is the second biggest value in j, 3\/4, -5, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 14*m**2 + 17*m - 6. Let t be d(15). Suppose -26 = -10*o + t. Solve 0 = -2*l - 3*b - 3, o*l = 4*b + 2 + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1270 + -1273. Put 0, 67, d in increasing order.\nAnswer: d, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 19 + 3. Let f = 84 - 82. Suppose -s = 3*s + f*r, r = 2*s. Solve 4*o + 3*i = 15, s = -2*o + 4*o - q*i - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 305*p**2 - 3125*p + 7875 = 0. Calculate p.\nAnswer: -315, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4347 or -4346?\nAnswer: -4346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, c: 8}. Give prob of picking 2 c and 2 x.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 times -0.082996?\nAnswer: -79.344176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324710 divided by -2.\nAnswer: -162355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Let i be (-12)\/(-27) - x\/6. Let n = 0.8 - -3.2. Sort i, n, 3\/2 in decreasing order.\nAnswer: n, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 748*f - 749*f - 16, 28 = -3*f + 5*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 + 5*p + 5. Let x(w) be the third derivative of w**5\/20 - w**4\/12 - w**3\/3 - 1151*w**2. Determine -2*a(o) - 5*x(o).\nAnswer: -2*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7279 - -7281. Sort -2\/9, j, -2, -5, -47 in ascending order.\nAnswer: -47, -5, -2, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - (((-31270)\/159)\/(-59))\/(22\/(-18) + 1).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/((-3)\/18). Let u be j\/(1 - 3) + -33. Let w = u + 65. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15821 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 368695830*g**3 + 126175730 wrt g?\nAnswer: 1106087490*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/24 and 49\/797543331.\nAnswer: 6380346648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64\/15 - 23\/5. Let h = 22.77 + 0.23. Let c = h + -26. What is the closest to -2\/3 in 0, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3 + 89*v - 184*v + 97*v. Let b(a) = -2*a. What is g(b(s))?\nAnswer: -4*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d - 6. Let p be l(2). Let h(b) = 3*b**3 + 9*b**2 + b + 4. Let i be h(-3). What is the greatest common factor of i and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-2079.61\nAnswer: -2079.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 7. Let g be m(-10). Let y = 23 - g. Let s = y + 3. Solve -1 = q - s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192 divided by -6?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.202798 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 627*u - 1891. Determine t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 - 125*y - 74. Let h be s(13). Calculate the highest common factor of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1468 (b) 2\/15 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*f + 291 + 552, -3*y = 15. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 3\/((-6)\/(-4)). Suppose -3 = -2*w + 5. Suppose -5*p - w*b = -61, -2*b = -2*p + 2*b + 2. Calculate the greatest common factor of p and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - n)*(-4 - 2 + 2) - 67074 + 73*n + 67089 - 276*n.\nAnswer: -211*n + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 757.8 + -758. Let v(s) = -s**2 - 4*s. Let m be v(-5). What is the biggest value in 5\/3, l, m, -0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2939 > -3018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7404, 7403, 7402, 7401?\n\"Answer: -s + 7405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 150*g - 93. Let s(w) = -5*w**3 + w**2 + 5*w + 4. Let c be s(-1). Does 9 divide j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48757575 divided by -9703\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, z: 2, j: 2}. What is prob of picking 2 g and 1 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 - 6*h + 6. Let v be (-24)\/(-96) + (-29)\/4 + 1. Give f(v).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 2172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6760 + 6772. Let w = 6\/5 - -53\/5. Which is bigger: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m**3 - 3*m**2 - 5*m - 2. Let z(b) be the third derivative of -b**6\/60 + b**5\/60 + 3*b**2 + 8*b. Let l(k) = w(k) + 6*z(k). Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/72*(-15)\/27\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -18.3301835.\nAnswer: -17.9301835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-22)*(-11)\/11*1.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.275 + -0.231. Let f = 0.505767 + v. What is f rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2663.888 meters?\nAnswer: 2663888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 785965, 786040, 786115, 786190, 786265, 786340?\n\"Answer: 75*o + 785890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 19. Determine p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 - 1 - (-5820)\/(-6014)*-31?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/7))**(-8\/7)*(p*p**6)**(-49) assuming p is positive.\nAnswer: p**(-16871\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m + 2*m**3 + (m**3 - 3*m**3 + 0*m**3)*(0 + 2 + 0) + 2*m**3 - 4*m**3 + 3*m**3 + 3*m**2 - 3*m**2 - m**3 + 255*m**3 - 506*m**3 + 242*m**3 - 21.\nAnswer: -11*m**3 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58650927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 1 + d - 15*d - d**2 - 2*d to t*d + g*d**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3645) + 2*sqrt(3645) - sqrt(3645)) - (sqrt(3645) - sqrt(3645)*2*-5))\/(sqrt(5400)\/sqrt(6) - (sqrt(729) - sqrt(729)*6)).\nAnswer: -207*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xoxxoxxoxox.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z + 2*z**3 + (-1 + 2*z**2 + 1)*(0 + 0 + 2*z) - z**3 - 2*z**3 + 2*z**3 + (-7*z - 4*z + 2*z)*(-5*z**2 - 3*z + 3*z).\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 + 0.82. What is the closest to a in 0.1, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 2*f**5 + 0*f**5 - 2*f**5 + 2*f**4 - 2*f**4 + (0 + 0 - 2)*(-2*f**5 + 2*f**5 + 2*f**5) + 0 - f**5 + 0 + 23 + 0*f**3 + 2*f**3 - 3*f - 21 + 7*f**5.\nAnswer: -f**5 + 2*f**3 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37002?\nAnswer: 2, 3, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 3. Let f = -6.538 + 6.838. Sort 10\/13, o, f, -1\/10 in decreasing order.\nAnswer: 10\/13, f, -1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*2\/8*-2. Suppose 5*h - 50 = -5*b, -3*h + 10 = -2*b - n. Calculate the remainder when h is divided by 12\/(-2)*3\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-12)*r)\/((r\/(r\/r**(-7\/6)))\/r))\/(r**(-8)*r)**(-21\/8) assuming r is positive.\nAnswer: r**(-629\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/20 + 13*u**4\/12 + 11*u**3\/6 + 9*u**2 - 8*u. Is c(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 244.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g = 41*g + 90. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:25 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362388 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1028.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3 + 2*z + 2 + 4. Let b be l(-2). Let q be 16\/((-12)\/(-3)) - 4. Is b greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296a9 (base 12) to base 8\nAnswer: 161241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Let k be (0 + -1)*(-21)\/((-3)\/(-1)). Suppose -k*v + 5*v - 8 = y. Sort v, -7, 0 in descending order.\nAnswer: 0, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/280 + o**4\/14 - 9*o**2. Let q(x) = 0. Calculate x.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-693))\/((-9)\/(-42))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6237, 12486, 18735?\n\"Answer: 6249*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 213*q - 132 = -215*q, 0 = -5*a - 5*q + 330 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (450\/540)\/(1\/12*2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-24) + 25\/(-6). What is the third smallest value in m, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 2\/5 (b) 6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/21 + 258\/(-21). Let c be (s\/(-15))\/(4\/350). Suppose -4*f - f + c = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8684 = 5*x - 2*y, 49*x + y = 53*x - 6946. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/25 (b) 7 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let l(p) = -2418*p. Determine i(l(f)).\nAnswer: -5846724*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*w - 3*q + 6 = 213*w, -5*q + 10 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141.6 - 5.6. Let m = r - 306. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112990 is divided by 14123.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 128, 154, 208, 302, 448, 658, 944, 1318?\n\"Answer: 2*u**3 + 2*u**2 + 6*u + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28717 - -29836. Does 1109 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01314 and -2.\nAnswer: 0.02628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1757*k - 913*k - 3 - 715*k + 3.\nAnswer: 129*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 8, 29, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y - 25. Suppose 7*m - 28 = -0*m. Suppose -m*d - 9*d = -39. Let r(x) = 2*x - 3. What is d*a(b) - 25*r(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 - (-1675)\/(-15). Let h be (-6)\/(-27) - w\/(-135). Which is the second smallest value? (a) h (b) 1\/3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 342 = -5*r + 1272, y - 1 = 0. Is (45\/6)\/(69\/r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -35, -117, -271, -521, -891?\n\"Answer: -4*b**3 - 6*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose 0 = 5*c - 3*c - g. Suppose 2*o - 6 = 4*p - 7*p, p - c = -2*o. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 61 = -4*g, -o - 15 = g - 0*o. Let f be -1 - (-1 - (2 - g)). Suppose 4*d = 8*d - f. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19647 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 - 66. What is the common denominator of b and ((-2)\/3)\/(11\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7005*x**3 - 3*x**2 + 2488?\nAnswer: 42030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203 - 198. Solve 5*a + 0 = c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 39164*h + 39168.\nAnswer: -4*(h - 1)*(h + 9792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-84) + (-5440)\/(-210). What is the highest common factor of a and 2314?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*f**3 + 630*f**3 - 3 - 498*f**3.\nAnswer: -149*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 1323432?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g - 1. List the prime factors of v(5).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-768)\/(-150))*(2 - -3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1) + 0 + -2. Let n be (l + 6\/9)*3. Find the third derivative of -n*g**5 - 3*g**5 - 39*g**2 + 40*g**2 wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 6, d: 3, r: 3, l: 1, m: 3}. What is prob of picking 2 c and 1 m?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(3\/11)\/l))\/l**3*l**(-22)*l**(-15) assuming l is positive.\nAnswer: l**(-432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 19. Let r = s + -6. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/32)\/((-6)\/16). Suppose d + v = -4*d, d = -p. Solve -12 = -5*g + p*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 51 - 48 + 141 - 7*c + 2*c**2 - 47. Let n = -39 + 48. Give g(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 6\/8)\/(81\/(-18))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opao when four letters picked without replacement from {o: 7, v: 3, b: 1, p: 4, a: 1, n: 4}.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + 45.34. Let s = p - 23. Is -0.1 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k = 190204 - 189917 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -14*(-4)\/(-8)*(-9 - -3) is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 1394\nAnswer: 6970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/330 and -13\/1098?\nAnswer: 60390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miojooojnoonitn. What is prob of picking 1 o and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204299860913 + -41476140563285897\/203016. Let o be 4\/(-1538)*5*(-6)\/(-480). Let z = o - l. Find the common denominator of 137\/6 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -1, 5, -2\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7251, 14539, 21827, 29115, 36403?\n\"Answer: 7288*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 745236005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*i = -17, 17 = g - 5*i - 12. Suppose -h - g*c = 3*h + 16, -5*h - 3*c = 18. Which is greater: 41 or h?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 55 (b) 0.4 (c) -0.078 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lla when three letters picked without replacement from almlmllllllaaaalaa?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y + 7. Let q(c) = -7*c - 6. Let h(v) = 5*q(v) + 4*w(v). Calculate the remainder when h(-8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 + 8764017*w**3\/2 + 76808029032349*w**2\/4 + 76807976448255*w + 76807958920225.\nAnswer: (w + 2)**2*(w + 8764015)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 a factor of 28006186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - -40. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a)**(-2\/5)*a\/a**1*a**(-12) assuming a is positive.\nAnswer: a**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-8)*-2)\/(-1). Suppose -k*p + 108 - 28 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*c + 25 = -5*c, 3*r + 5*c = -19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1 + 236. List the prime factors of o.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/226? (a) 0 (b) 0.4 (c) -33239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 804 - 745. Is y smaller than 8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -33 (c) -8 (d) 0.07 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116.98 - 118. Round z to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 3*y - 28. Let w be u(-15). Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60855 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 + 5*o + 8. Let b be a(-2). Suppose 4*h + 6 - b = 0. Solve 3*f = -h*r, r - 4*f = -f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2682*j**2 - 55*j - 2623. Let h(s) = -2681*s**2 - 44*s - 2622. Let a(b) = 5*h(b) - 4*x(b). Find the first derivative of a(n) wrt n.\nAnswer: -5354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**3 + 1. Let s be f(-1). Let k(c) = -c - 2. Let j be k(s). Let g be 3 - j - (-2)\/(-13). What is the closest to 0.2 in g, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37496, -74995, -112490, -149981?\n\"Answer: 2*q**2 - 37505*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -182, -259, -338, -419?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168047359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 8. Suppose -o = 5*p + 2 - 54, 3*p - 36 = -3*o. Let a(m) = -22*m - 113. Let f be a(-5). Let c = p + f. Calculate g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*a = -1992, -29*k - 4*a = -25*k - 4012. Let w = k - 1001. Factor -16\/5*f**2 + 4\/5*f**3 + w + 16\/5*f.\nAnswer: 4*f*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 1\/15*p**5 + 0*p - 2*p**2 + 1\/4*p**4 - 1\/3*p**3 - 1\/120*p**6 + 0. What are the prime factors of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012215 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((3 - 4 - -9) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22238\/35 + -2954\/5. Factor p*t + 12168\/7 + 2\/7*t**2.\nAnswer: 2*(t + 78)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -13*r - 22. Determine f(14).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125.61 - 125.11. Let u = 2 + 2. What is the second smallest value in -3, -0.2, b, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/3 (c) -0.17 (d) 13 (e) -47.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 201?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/16)\/(3\/48). Find the common denominator of -6 - (2 + -9) - (-194)\/h and 107\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.43 rounded to 0 decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 269. Let o(v) = -7*v - 270. Give -4*o(g) + 3*x(g).\nAnswer: g + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 168, 196, 254, 354, 508, 728, 1026?\n\"Answer: 2*v**3 + 3*v**2 + 5*v + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 + 9*x. Let f(c) = -2*c**2 + 2*c. Let b(q) = -9*f(q) + 2*p(q). Let u(n) be the first derivative of -7*n**2\/2 + 1. Give u(b(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111011101000 (base 2) in base 7?\nAnswer: -32032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 379.9204 litres?\nAnswer: 379920.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1005588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 12*s**2 - 2*s - 23. Let x be q(19). Suppose x = 5*y - 164. Is 39 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -217*b + 233*b - 576. Calculate the remainder when b is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2237 = 3*c, 4*o + 80 = -c + 822. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-12)\/(-10) + (-3)\/15. Solve 3*z - 5 - i = 0, -3*z - 10 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/16490 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 31*h - 31. Calculate x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 8*a**2\/3.\nAnswer: 2*a**2*(a - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7*t + 2. Let v be k(-8). Let a = -608\/5 + v. Put 2, 4, a in descending order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**2 + 190*m + 2. Let i(j) = -14*j**2 + 188*j + 4. Give 2*i(u) - 3*l(u).\nAnswer: 2*u**2 - 194*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/135 + (0 - (-43)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yooyjoammoooaoj. What is prob of picking 1 j and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 43 - 40. Let t = 9 + -5. What is the tens digit of t\/x - (-203)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/232162 and -133\/1854.\nAnswer: 2089458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/18)\/(i\/((i\/(i*i**37))\/i)*i))\/(i**(-20))**(-48) assuming i is positive.\nAnswer: i**(-18001\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*t + 2730 = -174*t. Suppose 0*w = -4*w - 408. Let x be (-4)\/(-10)*w\/4. Are x and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*p - 35521 = -135*p - 161*p - 5946 for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 29*k + 63. Let i be b(-2). Suppose 0 = 5*m - 5 - 0. Calculate the greatest common factor of i and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/(-80) - 3\/(-5). Sort 5, -4, u in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 11294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 622783, 1245561, 1868339, 2491117, 3113895?\nAnswer: 3736673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2101413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-338)\/(-39))\/(((-3)\/(-5))\/(324\/360)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*l**4 + 397*l**3 + 88688*l.\nAnswer: 300*l**2 + 2382*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*o = -3*c + 503*o - 10, -4*o = 5*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4724 or 158094?\nAnswer: -4724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 43\/15 - 12\/(-90). Suppose -2*h = 5*f - 119, -3*f + 174 = i*h - 0*f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1268 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 158158?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 31908?\nAnswer: 31908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 12 = -2*y - 11, 2*t = -y + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 465513709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.3, -0.1, 4.899, 1\/3, -204?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Which is the biggest value? (a) 1 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17963188*u**5 - 2*u**2 + 3563726.\nAnswer: 1077791280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3312554 (base 8) to base 15.\nAnswer: -128b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47492 - 0.16.\nAnswer: 47491.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 16*i**2 + 8*i + 8. Let d(f) = f**3 + 2*f**2 - f - 1. Let u(c) = -6*d(c) - h(c). Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2 - 7. Let s = b + 4. What is the smallest common multiple of 27\/(-6)*(-6)\/9*1 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - 35. Let b = -18 + n. Let m = 77 + b. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/4 of a millimeter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17219 or -17198?\nAnswer: -17198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.065426*-6211.\nAnswer: 406.360886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:36 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/27? (a) 0.8 (b) -69 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/3 - 61904*w\/3 = 0?\nAnswer: 0, 61904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8*w = 3*w, 4*m = 5*w. Suppose 0 = z - m*z - 14. Suppose -2*v - z = -4*v. Solve 5*i + h = -3, -6*i + v*i - 5*h - 15 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419323512?\nAnswer: 2, 3, 17471813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 90*t - 89*t. Factor 38 + 99*p + 10*p**2 - t - 25*p.\nAnswer: 2*(p + 7)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 152 = 2*u, -2*u + 4*u + 3*d = 154. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkdkrkkrzkrdrdrrrz. What is prob of picking 2 d and 1 z?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -10, -317, 1\/6 in descending order.\nAnswer: 1\/6, -0.1, -10, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 36. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66459, 66450, 66439, 66426, 66411?\n\"Answer: -l**2 - 6*l + 66466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p + 10. Let c be v(2). Suppose z - 13 - c = 0. What is the greatest common divisor of 51 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14820378?\nAnswer: 2, 3, 2470063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**9\/3024 - o**7\/315 + o**4\/4 - 6*o. Let n(a) be the third derivative of y(a). Find the third derivative of n(s) wrt s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/35*301\/(-43).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*a + 17, -4*q + a = 5*a - 44. Let f(i) be the first derivative of -i**4\/4 + 7*i**3\/3 + 13*i**2\/2 - 12*i - 1. Is f(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731839?\nAnswer: 731839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 627 - 625. Let i(b) be the first derivative of 2\/5*b**5 + 0*b - 5\/3*b**3 + 0*b**4 + 0*b**p + 21. Find the third derivative of i(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 s when three letters picked without replacement from ybasn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**5 - 3415*z**4 - 8675150*z**3 + 52145920*z**2 - 69564000*z = 0.\nAnswer: -1023, 0, 2, 4, 1700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 343*p - 348*p + 87, 5*p + 4*c = 93. What is the greatest common divisor of p and 16201?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -651*t**3 + 11*t + 7. Let a be u(-3). Suppose 15*z = 10319 + a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4131 - 378. Let n = 98 + k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193166232.\nAnswer: 2, 3, 7, 83, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-8)*-4 + -1. Solve 0 = -20*c + 25*c + y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((sqrt(3)*-1 + sqrt(3))*1 - sqrt(3)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - ((sqrt(891) - (sqrt(891) + -1)) + sqrt(891)))*6 + (sqrt(891) - (sqrt(891) + -1 + sqrt(891) + sqrt(891) + sqrt(891))) + 0)**2*1*-2.\nAnswer: -16088 - 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 8*d - 4. Let j be h(-9). Let m(s) = s**2 - 2*s - 5. Let p be m(j). What is the smallest common multiple of 1 and p + -9 + 4\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2083350 divided by 4902\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161316312.\nAnswer: 2, 3, 31, 53, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h + h - 36 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26218608 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 56*g**2 - 4. Let z(q) = 245709*q. Give t(z(h)).\nAnswer: 3380883110136*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.49 - 20.3. Let f = q + 1.81000545. Round f to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - (-148)\/28. Let t = -3 + p. Let m be (5 + 1)*1\/t. Solve m = 2*i - d - 3, -2*d - 11 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/322949105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72919, -145846, -218773?\nAnswer: -291700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8886579 by -5.\nAnswer: 8886579\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -63?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -92, -5, -3 in descending order.\nAnswer: -3, -4, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k. Let w be 1*3 + 2\/1. Let d(g) = 10*g. Let x(h) = -7*h. Let i be 2\/((-6)\/42*-2). Let b(l) = i*x(l) + w*d(l). What is r(b(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317114301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0414 + 5.0414. Suppose -5*q + 3*i + 656 = 6*i, -3*i - 384 = -3*q. Let k = 652\/5 - q. What is the closest to -0.1 in k, j, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -20212303?\nAnswer: 20212303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3 - 5*h**5 - 41*h + 134*h - 3*h**5 wrt h.\nAnswer: -160*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41.31461 and 1.48220596.\nAnswer: -39.83240404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 221*n + 106*n - 108*n + 109*n + 327*n.\nAnswer: 671*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18287220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(684) + 0 + -3).\nAnswer: 2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 7 = 3*b, b - 6*b = -4*t - 17. Solve 8 = -m + b*s, -15 = 4*m - 3*s - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7280\/(-280))\/(1*2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.05, 1, 3, -0.2, 68?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 4 - 12 + 8. Let n(z) = 2*z - 2*z - 2*z. What is w(n(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/14)*y\/y**9 assuming y is positive.\nAnswer: y**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8258557 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2394)\/35)\/9)\/2*-5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 u when four letters picked without replacement from {s: 2, u: 4, m: 1, q: 4, l: 1, v: 2}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2299238 rounded to 1 decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 16 + (-21 - 11) + 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3607?\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 898 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -260*h**3 - 780*h**2 - 520*h - 780. Let j(r) = 2*r**2 + 2*r + 3. Let i(u) = -g(u) - 260*j(u). What is the third derivative of i(y) wrt y?\nAnswer: 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -12 - 3. Differentiate 5 + b - b - r*b**4 - 2*b**4 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3*m**5\/10 - 9*m**4\/8 + m**3\/2 + 9*m**2\/4 - 3*m + 8. Factor n(y).\nAnswer: 3*(y - 2)*(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**5\/60 - 5*c**4\/6 - 4*c**3\/3 + 36*c**2 - 4*c. Determine x(18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8820462.\nAnswer: 2, 3, 7, 210011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 444396, 887799, 1331202, 1774605, 2218008, 2661411?\n\"Answer: 443403*z + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - h - 3 = 0, 2*s - 8*h + 11*h = -23 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8454755 - -6?\nAnswer: -8454748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1320849 - 8?\nAnswer: 1320841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1034*r**5 + 2*r - 861.\nAnswer: -20680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 33*q**3 - q**2 - 2*q**3 + (-q**2 + 2*q**2 + 0*q**2)*(11 - 11 + q) to m*q**2 + f*q**3 + c*q + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 3\/7 (b) 0 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/45 and 103\/321780?\nAnswer: 965340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f**3)*(-2 + 2 - 2)*(-4*f - 2*f - 5*f).\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -33 (b) -82 (c) 1 (d) 0.37 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2804\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 11. Solve 1 = -2*q + c*v, -5*q + 2*v = -v - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4 + 518*z**3 - 3289*z**2 - 5138*z - 1328 = 0.\nAnswer: -1, -1\/3, 8, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -439\/1947369 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*n + 75, -3*n = -5*q - 4 + 88. Calculate the remainder when 12\/(-8)*112\/(-6) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4 = 0, -5*y - 3*o = -10*y - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/8935047 and 86\/44675235.\nAnswer: 44675235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:28 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -19866.876386404.\nAnswer: 19866.876386404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -616*w - 4934. Determine m(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 3, k: 5}. What is prob of picking 2 k?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*t**5 - 8*t**3 - 612*t.\nAnswer: -980*t**3 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2 + 266900*w + 1334475 = 0.\nAnswer: -266895, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*q = 1284*q + 1647*q - 34298 - 44062 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 + 2*h**3 + 3*h**3 + 10*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (465\/31)\/((429\/52)\/11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32*v + 65. Calculate y(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 7*b - 2 = -25 + 254 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17266042 is divided by 1438835.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 94. Let k(t) = -2*t - 47. What is -7*k(v) - 3*s(v)?\nAnswer: 2*v + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and 0.422.\nAnswer: 19.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2 (c) -5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 5. Suppose m - 12 = l*m. What is the tens digit of (m - -12*1) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58975*x = -58971*x - 32 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13201734 to the nearest integer?\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*l - 9, -4*d + 0*l + 63 = l. Let x = d + -8. Suppose 0 = 3*k - x*f + 4*f - 72, -5*k + 165 = 4*f. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21170)\/87)\/73)\/(110\/(-12)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -57.1. Let x = 0.31 + 21.69. Let w = -1467 + 1466.6. What is the nearest to h in 2\/5, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 2407.\nAnswer: 72.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 60. Let f = l - -82. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3ab88 + 2?\nAnswer: -3ab86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 - 27 = 0. Let s = y - -11. Sort -0.3, 1\/4, s.\nAnswer: s, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -8 + 1*25. Let i = y + -13. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -19. Let a = v + 17. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71842, -68190, -64538, -60886, -57234, -53582?\nAnswer: -49930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(18\/(-15)))\/((-14)\/12). Sort 0, -5, 2, u in descending order.\nAnswer: u, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 + -500002?\nAnswer: -500152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583374.\nAnswer: 2, 3, 11, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 11\/3, 224.61, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.071 + 0.071. Let j = -0.019 + 0.419. Which is the biggest value? (a) y (b) 0.2 (c) -2\/13 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -0.472?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcuacucucucacc. What is prob of sequence au?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-15))\/(2\/(-20)). Let s be (0 - -3 - 2) + u. Let f = s - -7. Solve f*b + 16 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*h**2*p**2 + 36724*h**2 + 92*h*p**4 with respect to p.\nAnswer: 66*h**2*p + 368*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 42. Suppose 7*g = u*g - 520. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5, 2, 0 in ascending order.\nAnswer: -26, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 192, 196, 202?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 38*f**2 + 96*f + 29. What is p(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(3\/(-6))\/(1\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8356 - 8383. Let i = w + 954151\/57. Find the common denominator of -70\/27 and i.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-15))\/(j\/(j*j\/j**0)) assuming j is positive.\nAnswer: j**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30215753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 31*p - 205. Let d be s(22). Let j = -8 + 17. Suppose -k = -0*k + j. Is d at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 609.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**4 + 17*s**3 - 36*s**2 + 37*s - 19. Let w(m) = -18*m**4 + 152*m**3 - 324*m**2 + 334*m - 170. Let x(c) = 52*q(c) - 6*w(c). Factor x(l).\nAnswer: 4*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/6)\/(30\/(-45)). Solve w - 1 - p = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.970592 rounded to two dps?\nAnswer: 48.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2793 - 0.1.\nAnswer: -2793.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 134*l**2 - 962*l - 76. Calculate j(7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 4*o - 88. Let d be 282\/(-22) - (-4)\/o. Let j be d\/1820 + 1\/(-7). Is j less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*d - l + 4, -3*l - 7 = -d. Solve -4*t = d - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24070172 + 2?\nAnswer: 24070174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 339\/1153 != -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2035 * -0.8223\nAnswer: -1673.3805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/2 + 29099*k + 58199\/2 = 0. What is k?\nAnswer: -1, 58199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 8.392798.\nAnswer: -41.96399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -207*w**2. Let t(a) = -2*a**2 + 6*a + 3. Let o(r) = r**2 - 2*r - 1. Let s(c) = 3*o(c) + t(c). Give s(u(h)).\nAnswer: 42849*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s - 10. Let u be i(0). Let r = 46 + -17. Let y = r + -27. What is the third smallest value in u, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:28 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 760.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*v - 7 - 0, 5*a - 5 = 3*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252994 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 931429996 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -40?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m + 25. Let a be r(2). Suppose x = 4*x - a. Solve -5*t - x = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -98. What is the common denominator of 8\/w*-59*(-5)\/(-6) and 61\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - w**2 + 3 - 2*w - 3)*(4 - 4 + 4*w).\nAnswer: -4*w**3 - 8*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2523 divided by -52?\nAnswer: 2523\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/134 + 277\/402. What is the nearest to -0.1 in -3, 1.6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(5\/(-20) - -1). Solve 0 = 5*s - 4*o - x - 1, -4*s + 3*o + 7 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000262717 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - (21\/(-4) + 4). Sort s, -9, 3.\nAnswer: -9, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, s: 3}. Give prob of picking 1 s and 2 z.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 5*p**2 - 2*p**2)*(2*p - 8*p - p) + 52*p**3 + 43*p**3 + 112*p**3 + (4*p - p - 4*p)*(p - p - p**2).\nAnswer: 201*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39333?\nAnswer: 3, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -90, -127, -160, -189, -214, -235?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31000 (base 5) to base 10.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -14. Let x be 1 + 0 - 3 - l. Factor -2 - 35\/2*u**2 + 25\/4*u**x + 11*u.\nAnswer: (u - 2)*(5*u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/71?\nAnswer: -8\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n - 6. Let r be b(-2). Suppose -1510 = -r*h + 1186. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10439, 10358, 10273, 10184, 10091, 9994, 9893?\nAnswer: 9788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.91 and -0.0507317?\nAnswer: -0.147629247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/351, 2\/9, -3 in decreasing order.\nAnswer: 9, 2\/9, 2\/351, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127 + 127 - 14*q + 4*q - 3*q + 0*q + (-q - 3*q + 5*q)*(-2 + 2 - 3))*(-5*q + 57*q - 116*q).\nAnswer: 1024*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4331872 and 5780?\nAnswer: 368209120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*c + 2)*(2*c + c - 4*c) + 72*c**2 - 4229 + 4229.\nAnswer: 69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 285, -449, -1183?\n\"Answer: -734*b + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*h + a - 5*a, 4*h = -2*a - 46. Let t = h - -12. Factor t*p + 5\/4*p**3 + 0 + 1\/2*p**2 + 3\/4*p**4.\nAnswer: p**2*(p + 1)*(3*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**4 - 16*c**3 + 52*c**2 + 16*c.\nAnswer: -c*(c - 2)*(c + 4)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4996261 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2. Let h(m) = -833045*m**2. What is u(h(d))?\nAnswer: 4857747804175*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 >= -0.029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:27 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*z - z**4 - 104*z**3 + 160*z + 724*z**3 - 82*z to the form s*z**3 + l*z**2 + i + w*z + n*z**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-19 + (12 - 3) - 24).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 56 - x**2 + 13*x + 0*x**2 - 47. Let h be k(13). Find the second derivative of 7*c + 6*c**2 - h*c - 4*c wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75.98 - 5\nAnswer: -80.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 3. Suppose -25 = -5*v - 3*x - 0*x, -5 = -v - x. Suppose 0*a + v*a = 0. Put w, -1, a in decreasing order.\nAnswer: a, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + sqrt(448) + -1 + -2 + (sqrt(343) + 0)**2 + (-2*sqrt(84))\/sqrt(12).\nAnswer: 14*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**5 + 360*r**4 + 4796*r**3 + 4440*r**2 = 0.\nAnswer: -74, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 12160\/1200 - 223\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 2, l: 1}. What is prob of sequence ooll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-75))\/(1\/(-5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:01 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -13923.43053 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -2 (d) -156\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -15d?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -975*z. Let h(s) = -61*s. Calculate -66*h(n) + 4*v(n).\nAnswer: 126*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 3*v + 4. Let i(s) = 4*s**3 + 5*s + 9. Let f(x) = x**3 + x. Let c(z) = -3*f(z) + i(z). What is the remainder when c(0) is divided by g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, -6, -5.\nAnswer: -6, -5, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 485*c\/2 + 7998.\nAnswer: -(c - 31)*(c + 516)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-335))\/(3\/438). Let a = o - -16473\/2680. Let y = 28\/5 + a. Find the common denominator of y and -57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 6*b + 21. Suppose 3*l + 60 = 5*g, -2*l = 5*g - l - 40. Let h(q) = -2*q**2 + 11*q - 41. Let z(r) = g*v(r) + 4*h(r). Factor z(c).\nAnswer: (c - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 4*v - 210 = -15*v. Let f(x) be the first derivative of 0*x**2 + v + 9*x - 1\/3*x**3. Calculate f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from hkypzhf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 170.55.\nAnswer: 167.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*j - 5*g + g, -g = -2*j + 1. Suppose -3*c - j = -7. Put 1, c, -3 in increasing order.\nAnswer: -3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(432) + 2 + (sqrt(12)*2)**2 + 4.\nAnswer: -36*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 23. Let f(w) = w + 3. Let g be f(m). Suppose 0 = -4*i - i + 35. Solve 2*p - g - i = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5501 - 468. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/5 of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcj when three letters picked without replacement from {c: 1, j: 4, n: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b - 2. Let i be v(-1). Let d(c) be the first derivative of 2\/3*c + 2\/15*c**5 + i + 1\/3*c**4 - 1\/3*c**2 - 1\/9*c**6 - 4\/9*c**3. Factor d(s).\nAnswer: -2*(s - 1)**3*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(2 - 2 + 2)*(0*s - s + 0*s + (2*s + 2 - 2)*(3 - 4 - 1) - 69 + 4*s + 69).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -621 divided by 9\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*p - 104*p + 411*p - 100*p - 101*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k + 2 - 3*k**2 - 4*k**3 + 0 + 5*k**3. Suppose 0 = 4*z - 23 + 15. Suppose 0 = -z*b - 2*i, 2*b + 8 = 6*b + 2*i. Calculate c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 4. Let r be j(-4). Suppose 5*g = -4*m + 19, 0 = r*g - 5*m - 0*m - 7. Suppose 8*h = g*h + 5. Solve 10 - h = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 99. Let a be -24 - -30 - c\/(-14). What is the second smallest value in 0.04, -0.1, -2\/9, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 336 + -633. What is the common denominator of 2\/(-7) + o\/(-819) and 116\/174 - (-86)\/33?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10301?\nAnswer: -10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 116, 109, 98, 83, 64, 41, 14?\n\"Answer: -2*w**2 - w + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*j = 239*j - 2. Suppose 5*s = -5, 0 = -2*g - s + 5*s + 18. Solve -o + 7 = -j*m, -5*o - m + g = 3*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2275 + 2278 + 8*b**4 - 4*b - 2*b**4 + 2*b**3 + 4*b**4 in the form o + n*b + s*b**2 + f*b**3 + x*b**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 154998 = -3*h - 2*h, -2*g - 93002 = 3*h. What is h rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(3) + sqrt(200) + sqrt(200) + -5)**2.\nAnswer: -240*sqrt(2) + 1177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 18*w - 18. Let d = 50 + -48. Suppose -2*y + 15 = 3*m, 4 = d*y - 4*m - 46. Is 9 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + p + 259 = 0, -f - 3*f + 3*p + 257 = 0. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0 + n**3 + 4*n**2 - 1 - n - 3*n**2. Let w be o(-1). Suppose w = -4*t + 8, -r - r + 2 = -4*t. Calculate the smallest common multiple of 8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 1. Let y(p) = -2*p**3 - 5*p**2 + 33*p - 1. What is 3*b(a) + y(a)?\nAnswer: -2*a**3 - 5*a**2 + 39*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 2. Let s be f(1). Suppose 5*q - 5 = a + 8, -3*q = -3*a - 15. Suppose -240 = -4*y - s*k, 2*y + q*y + 4*k = 236. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - z = -97, -259 = 308*t - 311*t + z. Solve 8*h - 33 = -t for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.2 - 372107546?\nAnswer: -372106855.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*-3)\/((sqrt(84)\/sqrt(6))\/sqrt(2)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(0 + -6)*3395\/(-1455)*4\/21?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 303 + -829?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**3 + 0*l**2 + l**3)*(13*l - 32*l - 138*l).\nAnswer: -157*l**4 - 157*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 0, -1, -2, -3, -4?\n\"Answer: -h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-74 + 27)) + -39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let u = -11 - g. Let b = u - -9. What is the closest to -2\/7 in b, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -9. Suppose k*h = -h. Suppose -i - 3*j = -h*i + 6, 8 = -2*j. Solve -4*d + 4*p - 11 = -d, -p = d + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l - l**2 + l + 3 - 4*l - 3*l. Let c be j(-6). Suppose n + 94 = 3*q, -q + 3*q - 51 = c*n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 3. Let c be b(0). Let k(i) = -44*i**3 - 7*i - 21. List the prime factors of k(c).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:25 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**4 + 7*u**2 - u. Let t(y) = 2*y**4 - 4*y**2 + y. Let b(q) = -4*n(q) - 7*t(q). What is the second derivative of b(c) wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2. Let o(n) = 55*n**2. Let h(r) = 5*r**2. Let d(c) = 45*h(c) - 4*o(c). Give t(d(v)).\nAnswer: -150*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = b + 10, -3*u = -41*b + 39*b - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 7. Let b be n(4). Let v be 1 + (-57)\/(b\/3). Let i = v - 52. What is the lowest common multiple of 8 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*o*p*w**2 - 50*g*o*w**2 - 106*g - 2*o*p + 3*p*w + 3*w**2 wrt o?\nAnswer: -3*g*p*w**2 - 50*g*w**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*q - 26*q**2 + q**2 - 28*q**2 + 49*q - 56*q**2 + 101*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6a9 (base 11) to base 10.\nAnswer: 14155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 58. Is 16 a factor of 7*1*44\/4 + q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1535 - 0.907. Let m = 0.0605 + p. What is the second biggest value in -0.2, m, -3, -14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 8. Suppose 0 = 3*k - l*k - 12, 3*h - 3*k - 15 = 0. List the prime factors of 3 + (3 - h) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4\/2 - 36065*y**3 + 143325*y**2\/2 + 6598530*y + 6490800 = 0. Calculate y.\nAnswer: -12, -1, 15, 14424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 20*g**2 + 213*g - 2480. Give y(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/2 + f. Let p(z) = 45*z + 12. Let g(v) = -103*v - 28. Let x(t) = 3*g(t) + 7*p(t). What is b(x(c))?\nAnswer: 216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + 15*u + 4. Let j be l(4). Suppose j = 11*g - 38*g + 108. Solve -4*s - 3*w = 12, -2 = g*s + 2*w + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46359 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let d(y) = 19515*y. Calculate v(d(c)).\nAnswer: -380835225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 15) in base 6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476794.\nAnswer: 2, 557, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 3*f + 3 - 4 + 2*f - f + 0*f + 3*f + 0*f - f + 0 - 2*f + 0 + (-1 - 2 + 1)*(-7*f + 2*f + 3*f) + 2 + 2*f - 2 - f + 2 - 2.\nAnswer: 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxmm when four letters picked without replacement from mxmxmmmxmxmmmmmxmmm?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -57, -67, -81, -99, -121, -147?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51724385 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*c - 1 + 8, -2*g - 4*c = 22. Let s(f) = f**2 + 3*f - 3. Let a(n) = -2*n**2 - 5*n + 5. Let w(y) = -2*a(y) - 5*s(y). Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let v = -3 - n. Let g = -6\/49 + -99\/392. Sort g, v, -2 in decreasing order.\nAnswer: g, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p**2 - 4*p - 2. Suppose 51 = -3*z - 6. Let x = z - -22. List the prime factors of m(x).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**2 + 0*s**5 + 0*s**3 - 1\/21*s**7 + 0 - 12*s + 0*s**6 + 1\/3*s**4. What is the third derivative of h(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280055651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.9377 milligrams in nanograms?\nAnswer: 819937700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/((-70)\/(-8)) - 55\/(-25). Put -40, -5\/4, y in increasing order.\nAnswer: -40, -5\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14007560549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 29)*(-15)\/(-9). Suppose -55*s + 62*s = 0. Suppose -10 = -g - s*g. Calculate the highest common divisor of r and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 2\/20682783 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 373, 1422, 3047, 5140, 7593, 10298?\n\"Answer: -18*w**3 + 396*w**2 - 13*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 20*p. Calculate the least common multiple of t(21) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012010121 (base 3) in base 12?\nAnswer: 30407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 5*t = 6, -1 = 3*q + 2*t. Let r = q + -1. Suppose 3*f - s - 13 = 0, -11 = -5*f - r*s - s. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 249, 146, 43?\n\"Answer: -103*c + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 491875 - 2*z**2 + 16*z - 2*z**2 - 491747.\nAnswer: -4*(z - 8)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 58*o + 2479. Determine y(-43).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -422437.0212 - -422357. Let o = r - -80. Let y = o + 0.02. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132414 - -3?\nAnswer: 132417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3267*v**2 + 2373?\nAnswer: -6534*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = p + 626, -18*p + 21*p - q = -1894. Let i = p - -4424. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11533*s**4 + 743*s + 2.\nAnswer: -138396*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1492 + -1494)*((-87)\/6 + -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + 4*b)*(-1 + 0 + 2)*(-329 + 329 + 98*b).\nAnswer: 588*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1187 + 3466. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 652?\nAnswer: 5216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 22*j + 2. Give p(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*x**2 - 1738*x + 1736*x + 220*x**2 + (-4*x + 5*x + x)*(2*x - 3*x + 2*x) to the form y*x**2 + g + m*x and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 1 - 1)*(1 + 0 + 1)*(0*b - b - 3*b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3)\/(2 - (-276)\/(-136))*(-404)\/(-808)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -110?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24\/13, 0.5, -29, 1, 0.08, 0?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22232 + -10?\nAnswer: 22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/2 + (-2346)\/(-276). Solve 2*h = -y - 19, -30 = 4*h - h + s*y for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205 - 44. Let x = 720 + b. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 24*x**2 + 18*x - 324. Calculate the remainder when m(25) is divided by 112.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38072.\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6 = 2*b - 8, 0 = -t - 5*b + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -5. Let t be (1 - 2) + (-3 - s). Let o(l) = t + 7*l + 10*l**2 - 3*l**2 - 5 + 3 + l**3. What is o(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**4\/12 + 4*t**2 + 800*t. Let x(a) = 4*a**2 + 0*a**2 - 3*a**2. Calculate x(g(d)).\nAnswer: d**4 + 16*d**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*h**3 - 2*h**2 - 2652*h wrt h.\nAnswer: -216*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 0 - 101*x + 95\/2*x**3 + 43\/2*x**2. Differentiate k(p) with respect to p.\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, 0, 23, 56, 99, 152, 215?\n\"Answer: 5*q**2 - 2*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -100*3\/(7 - 1). Let f = b + 55. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/7)\/b)**(-49) assuming b is positive.\nAnswer: b**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 9 + 67 + 61 - 10*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**2 + o**3 + 8*o**2)*(3 - 3 - 9*o) - 12*o**4 + 53*o**2 - 53*o**2.\nAnswer: -21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:55 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 18 in descending order.\nAnswer: 18, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53214e (base 16) to base 5.\nAnswer: 2343314024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3) - sqrt(7))*-4 + 4 - (sqrt(112) + 3 + 4))**2 + (-1 + sqrt(7) + -1 + -1 + 2*(sqrt(7) - (0 + sqrt(7) + sqrt(7) + 1)))**2.\nAnswer: 34*sqrt(7) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -449683, -2, -3\/7, 0.4, -21.\nAnswer: -449683, -21, -2, -3\/7, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250579?\nAnswer: 7, 35797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akykokekeeyn. Give prob of sequence yyak.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 5) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:37 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, h: 1, k: 3}. What is prob of sequence hvv?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let l = 4 + p. Solve h + 2*g + 2 = 0, 0*h + h - l = g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284919 is divided by 49383.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -54*a**5 + 846*a**4 + 1338*a**3 - 1846*a**2 - 1548*a - 272 = 0.\nAnswer: -2, -1\/3, 4\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 13. Let h be s(-12). Suppose -v + h - 2 = 0. What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/199065 and 2\/4039?\nAnswer: 1393455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3537 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -34003?\nAnswer: 34011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 17. Let i(m) = -1. Let s(f) = 2. Let y(o) = 2*i(o) - s(o). Suppose 16*t = 14*t + 164. Let h = 91 - t. Give h*y(r) - 2*z(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/218364 and 103\/2170.\nAnswer: 7642740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -129*(-2 - 14\/(-6)). Let m(i) = -i**3 + 4*i**2 + 86*i + 77. Let a be m(12). Is z < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 40. Let f be (s\/(-3))\/((-7)\/(-2100)*4). What is the highest common divisor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 - 97*b + 31. Let q be p(5). Sort -14, 5, q, -1, 4.\nAnswer: -14, q, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 w, and 1 p when four letters picked without replacement from {p: 2, s: 6, w: 9}?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/8 - 33\/(-12). Let d be (0 + b)*(-28)\/(-8). Let j(u) = u - 2. Let p be j(8). Which is bigger: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - g = g - 10, 5*o - 5*g - 45 = 0. Suppose 0*j = -j + o. Solve -3*w - 9 = -2*w - 4*t, -j*t = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i**(-1\/20)*i*i)\/i*i)*i))**(-34)*(i**(-1))**(-20) assuming i is positive.\nAnswer: i**(-463\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -48. Let v = x - 0. Let f = v + 51. Solve 3*w + 21 = -3*u, 6 + 6 = f*w - 4*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -12 (b) -2.9 (c) -5678 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305.98456 - 295.99. Let p = 10 - t. What is p rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.801247 seconds to microseconds.\nAnswer: 801247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/65*(-8 + 13). Which is smaller: -4 or r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-18)*-2*1. Is j bigger than 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -809*h**2*s**2 + 2*h**2 + h + s**2 + 6789*s wrt h?\nAnswer: -1618*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-25))\/(2552\/(-19140)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*x = 223*x - 4*q - 4780, x = 5*q + 2411. Calculate the least common multiple of x and 396.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-81)\/12)\/(22\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 14. Suppose 0 = -5*x + f + 2*f - 243, j = 3*x - 2*f + 146. Let w be 5\/(-3)*x\/16. Solve 2*u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2280 + 714. Let q = n - 2994.0002698. Round q to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1036 + 3.1036. Which is the second smallest value? (a) -0.02 (b) 1\/3 (c) 8 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.4 - -60. Let u = -12 - -13.4. Let s = u + f. Which is smaller: s or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 4967*c**2 - 3187*c**2 + 3*c**3 - 1780*c**2 + c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 508411 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - q + 7, -2*a + 6 - 1 = -q. What is the second derivative of -2 - 28*k**a - 29*k**4 - k - 2 + 72*k**4 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -2*i. Let l be (-10)\/i + (-1)\/(-3). Suppose n + x = 4, l*n - n + 3*x = 8. Solve 4*w - 14 = n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5907, 5951, 6033, 6171, 6383, 6687?\nAnswer: 7101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*s*w**3 + 42691*s - 2229*w**3 + 51*w**2 + 2*w - 2 wrt s?\nAnswer: 19*w**3 + 42691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 3, l: 1, m: 3, d: 1, s: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**4 + 69472*p**2 - 2951397*p wrt p?\nAnswer: 60*p**2 + 138944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 2.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/976 and 51\/44572.\nAnswer: 10875568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 34 = 5*b, -b + 10 = q - 3*b. Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101\/55 - 18\/11. What is the nearest to -0.1 in 3, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 - 189656*k**2 - 5693280*k = 0?\nAnswer: -30, 0, 47444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 191050347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(6*-4)*9.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 + 10 - -55) + -79?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**3 + 13*c**2 + c + 20. Let g(y) = -y**3 - 2*y**2 - 4. Let i(p) = 11*g(p) + 2*n(p). Calculate i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d**2 - 1200*d + 123. Is 12 a factor of q(86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4074 and -11\/148428.\nAnswer: 14397516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c918 - 10?\nAnswer: 2c908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.367 and -5.\nAnswer: -1.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110961652?\nAnswer: 2, 17, 853, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 17 + 2047*z + 2856*z + 23 - 1295*z.\nAnswer: 3608*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 + 162*l + 3256 = 0.\nAnswer: -44, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - -41 - (-561 - -530)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p + 13 = 0. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -298800 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3164191*h - 3175807?\nAnswer: -3164191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2435*l**2 + 1376*l**2 + 1063*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2291 - 41209\/18. What is the common denominator of ((-6)\/8)\/((-45)\/(-57)) and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 423879.\nAnswer: 7629822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f234 (base 16) to base 11.\nAnswer: 167332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.831951405?\nAnswer: 1.131951405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 7*b = 14*b - 603198. What are the prime factors of b?\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 27 = 3*f. Let j(n) = -7*n - 33. Let l be j(-6). What is the greatest common factor of l and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2274 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3097.09963731 + 3097.1. Round t to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5163569?\nAnswer: 23, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894812.\nAnswer: 2, 3, 157901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/5)\/(8\/(-20)). Suppose -c - h + 8 = -0*h, -3*c - h = -18. Solve a = c*a - f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i. Let d(p) = -p**3 - 13*p**2 - 11*p - 14. Let k(h) = -h**2 + h - 1. Let j(n) = -d(n) + k(n). Let s be j(-11). Determine u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 14 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99150 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 0.03. Let z = -0.49 + g. Which is the nearest to 1? (a) 5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3119909973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 8 + (7 - (12 - 5)) + -46?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y + 2. Let o be 6\/3 - (-10 - -1). Let b(w) = 14*w - 7. Let k be ((-2)\/6)\/((-2)\/12). Let d(n) = 1. Let i(z) = k*d(z) + b(z). Give o*q(g) + 4*i(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6 + 0 + s**3 + 2 + 8*s + 3 - 9*s**2. Let y be q(8). Is (-31 + 0\/(-1))\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 10*t**2 - 16*t + 4. Let i be b(8). Solve -2*v + 1 = -2*q - 3, -4*v - i = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 62 = 2*q, 0 = -5*u + 6*u - 3*q - 15. Suppose u = w - 133. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (300\/(-3250))\/(36\/45*1)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -s - 5*c, 7*c - 2*c = 4*s - 66. Suppose -68 = -3*r + s. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhdhhhdvd. What is prob of sequence hddd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) + (99225\/28 - 17). Let s = 5959 - i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*h. Solve o + h = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3989995688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:33 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*x + 7*x - 61*x - 95*x + 113*x.\nAnswer: -117*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423543255 and 1665.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwq when three letters picked without replacement from weqqzqwwwwqwwqewqzqz?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.000195 - -24. Round p to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51094480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 13580877?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*j - 3 + 2 - 2 + j + (1 - 2 + 2)*(-2*j + 2*j + j) + (4*j + j - 3*j)*(912 + 1055 + 223) to the form v*j + b and give v.\nAnswer: 4384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (10 - 27 - 5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5953.071g to milligrams.\nAnswer: 5953071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060589 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1572 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**3 - 283*r**2 - 974*r - 43575. Give s(-47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2*20\/(-10). Suppose f + f = 8. Suppose -o + f*w + 20 = 8*w, -5*w = 5*o - 40. Solve c = 2*g + 6, -4*r - o*g + 8 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0693*694\nAnswer: -48.0942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(63)*-1 + sqrt(28)\/sqrt(4) + sqrt(7) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*n - 4*n + 508*n)*(-5 - 4 + 2)*(1 - 1 - 2*n**3) in the form l*n + k*n**4 + c*n**3 + r*n**2 + y and give k.\nAnswer: 6846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x\/(x\/((x\/(x*x*x*(x*x*x*x*x*x*(x\/(x*x\/x**(-7\/5))*x)\/x)\/x*x))\/x)))\/x*x*x*x\/(x*x*x**(-20)*x)*(x**(-1\/7)*x)\/(x*x*x**(2\/19)) assuming x is positive.\nAnswer: x**(8081\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 11*p - 4. Let q(x) = -x**2 + 2*x + 74. Let h be q(9). Give i(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 0) + (30 - 42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - -3*(-2 + sqrt(11))) + 4)**2 + -1.\nAnswer: -16*sqrt(11) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4604505 and 4305025.\nAnswer: 529518075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:25 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r - 368*r**4 - r**5 + 7*r**5 - 10*r**5 - 5*r**4 + 111 wrt r.\nAnswer: -80*r**3 - 4476*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 7*m - 4. Let i be b(-8). Let a be (i\/6)\/(4\/18). Suppose 10*z = a*j + 5*z - 90, -4*j - z = -143. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*f - 50 = -0*z, -5 = -f. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5))**(-1\/46)\/(s*s*s\/(s**(-2\/73)*s)*s**(-5)) assuming s is positive.\nAnswer: s**(49837\/16790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -113211 (base 5) in base 6?\nAnswer: -31205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 - 3 - 3*z**2 - 9*z - 3*z**2 - 8. Let m be w(14). Let p = -47 + m. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 3.04.\nAnswer: -103.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose 11 = 3*v - 2*v - t*z, 0 = -3*v + 3*z + 27. Suppose -2*d + 5*b + v = -3, 0 = -5*d + 3*b + 18. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14329853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 4. Suppose 2*g = 4*v - 14, 2*v + 0*v + 8 = -4*g. Suppose -o = -v*j + 15. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-1))**(1\/6)*(h\/(h\/h**1))**26 assuming h is positive.\nAnswer: h**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 118 = 299. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 9168955 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 + 1.6. Let q = 7\/30 - 9\/10. Put c, -1\/3, q in decreasing order.\nAnswer: -1\/3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*y + 3294*y**2 + 432*y.\nAnswer: 3294*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3652*s - 54767. Calculate p(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 + 4*q + 6. Let l be v(10). Suppose 434 - l = -6*t. Calculate the remainder when t is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 34. Let r = l + -36.02. Let v = -0.12 - r. Which is the nearest to 1? (a) 5\/3 (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:40 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2217673 millennia to years.\nAnswer: 221.7673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - 69. Let j = -166 - z. Let v be (-92)\/(-6) - (-1)\/(-3). Calculate the greatest common factor of j and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -4.019682?\nAnswer: 0.980318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 211 + 247 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*2) + 3)**2 + 2 + (sqrt(176)*1)**2.\nAnswer: -24*sqrt(11) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d**3 + 5*d**2 - 15*d = 0. What is d?\nAnswer: -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*n - 10*n + n**2 + 2*n in the form g*n**2 + f*n + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20121*f**3*o**2 - 2*f**3 - 6*f**2*o**2 + 12*f*o**2 + 213977497*f*o wrt o.\nAnswer: 40242*f**3 - 12*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 12. Suppose -2*x + z*x = 20. Calculate the smallest common multiple of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d - 318 + 930 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -3, -6633?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*n**2 + 3*f**2*n + f*n**2 + 30*n**2 wrt f.\nAnswer: 24*f*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -164 + 190 + -24 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 14 + 16*w + 3 + 9 to the form t + v*w and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*1*8\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -h - 6*h + 2360, -2*h = 4*m - 656. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4997 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + -2*(-35)\/4*(-67 - -65).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-10)\/80*5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) -42 (c) 2\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1020248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 6)*(-5*w + 5*w + w) - 2*w + 2*w + w + w - 3*w + 0*w + 11*w + 6*w + 10*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 - 127. Let v = -15.1 + l. Let w = -2.19 + 2.1. Which is the second biggest value? (a) 0.2 (b) w (c) -1\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*h**2 + 620*h**2 - 9330*h**3 - 1855*h**3.\nAnswer: -11185*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258 (base 15) to base 5.\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 252*q**2 + 1278*q + 41. Calculate s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3632 (base 8) to base 11.\nAnswer: 150a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - 13\/(1209\/90). Let k = d + -71\/279. Is 0 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 + 1 + 4\/1. Let g(r) = -2*r + 7. What is the tens digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -118. Suppose b = -5*o + 3*s + 62, 5*s - 4*s = 5*o - 64. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 + -20?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 38*h**2 - 74*h - 5. Give j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 229964.1 and 4.\nAnswer: 229968.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-6)*(-41)\/(1845\/(-54)). Let d(r) be the first derivative of 0*r - r**3 - 15\/2*r**s + 25. Factor d(i).\nAnswer: -3*i*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*c - 5*o - 20, 5*o = 2*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3145453 (base 8) to base 12\nAnswer: 345263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -22*f - 81. Let z(o) = 11*o + 36. Let v(s) = -4*a(s) - 9*z(s). Let l(x) = -101*x. Determine l(v(i)).\nAnswer: 1111*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, -2\/9, -4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 260*r + 6860362 - 6875962 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:52 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - 122. Suppose 5*z - 3*m = l, -m = -3 - 1. Suppose -3*t = z*o - 15133, 4*t - 7*t = 5*o - 15128. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 112 + 80*w)*(-3 + 1 - 7).\nAnswer: -720*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*p**5 - p**4 - 3512*p**3 + 11287856*p wrt p?\nAnswer: 240*p**3 - 12*p**2 - 21072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 4. Let p = 38 - 34. Let h be w(p). Suppose -k - 8 + 125 = h. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.0708803, -0.14, -0.3.\nAnswer: -0.3, -0.14, -0.0708803, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*-15*(-25)\/6750?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(50) - sqrt(50)) + 0 + 3*(sqrt(50) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 2562.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 - a**3 + 5*a**3)*(-12 + 4 - 3) to the form k*a**3 + i*a**2 + j*a + c and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 13 + 2. Let w(o) = o**3 + 7*o**2 + 10*o - 1. Let n be w(q). Put n, 3, 28 in decreasing order.\nAnswer: 28, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1966868 + 417.\nAnswer: 1967285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/2 + 227*c**3\/2 - 1073*c**2 - 2596*c = 0.\nAnswer: -236, -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1\/(6 - (-1578)\/(-264)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2712190 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/16*(-27100)\/(-20325).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 216 + 829 = 5*i, -601 = -3*i - 4*g. Suppose 11*l - 14*l + i = 0. What is the remainder when 135 is divided by l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpnqvpvppnppppppzp. Give prob of sequence pnqn.\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -527, -1132, -1737?\n\"Answer: -605*w + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-338)\/(-3380) - (-2)\/20*-11. Sort -2, 51, -4, -5, n.\nAnswer: -5, -4, -2, n, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042.5 to the nearest 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 515 and 273465.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24137 + -24130.48. What is g rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y + 3982 = 264*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -42*w + 40*w + 1, 2*y - 2*w = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3081 - 73957\/24. Calculate the common denominator of t and 91\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/3 + 4*u**3\/3 - 16*u**2 - 18*u - 3. Factor o(b).\nAnswer: 4*(b - 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1000020022012 (base 3) to base 5\nAnswer: -114123121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-3) + (-305)\/85. Does 0 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/(1 + (-92)\/(-16)). Suppose 2 - 1 = g, -4*g - 11 = -5*d. Let o = 0 + 4. Sort z, d, o in descending order.\nAnswer: o, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s - 2. Calculate the remainder when 98 is divided by h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/3 + 5*j**4\/3 + 5*j**3\/3 - 25*j**2\/3 - 40*j\/3 - 16\/3.\nAnswer: -(j - 4)**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 15*v - 1. Let y be 300\/(-60) + -30 + 1. What are the prime factors of h(y)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055 * -9.\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 952.9169 hours to minutes.\nAnswer: 57175.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 1, d: 2, o: 2, e: 2, t: 5}. What is prob of sequence ddv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14582682 by -6.\nAnswer: 2430447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -723 divided by -241.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27743*z**2 - 27739*z**2 + 1113*z - 1113*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + k - 24422 - 8584 = 0, 0 = -4*k + 24. Is f a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 14 in ascending order.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -6) + 25 - (-54 + (-2 - -2)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 7 - 155 = 0. Suppose -5*y - m + c = 2*m, -y + 2*m = 3. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 2*m - 9*m - 4*m - 14 + 3*m. Let u be (-78)\/8 + (-1)\/4. Calculate the lowest common multiple of 3 and s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5448406364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -659493376 by -128.\nAnswer: 5152292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323.923 litres to millilitres.\nAnswer: 1323923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - -9) - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**2 - 7*f**2 + 618 + 12*f**2 - 18*f**2 - 6*f**2.\nAnswer: -49*f**2 + 618","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*h**3*l**2 - 3*h**2*l**3 + h*l**3 + 71*l**3 wrt h?\nAnswer: 69*h**2*l**2 - 6*h*l**3 + l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23220, -46467, -69714, -92961, -116208?\nAnswer: -139455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmcm when four letters picked without replacement from mmccccmmmmcm.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-22)\/(x*x**(2\/27)\/x) assuming x is positive.\nAnswer: x**(-596\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**8\/560 - d**6\/120 + 2*d**3\/3 + 1. Let b(i) be the third derivative of q(i). What is the third derivative of b(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -645033 - -1?\nAnswer: -645032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.3, 9\/61, 3.07, 0.2, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1164 (b) 1\/6 (c) -7 (d) 26 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let p be s(-5). Is (131\/4)\/(p\/(-24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (14 - (3 - 0)) - -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 9, 0.3 in decreasing order.\nAnswer: 9, 4, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/120 - 7*b**5\/30 - 5*b**4\/8 + 10*b**3\/3 + 12*b**2. Does 10 divide g(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9624, 9317, 9002, 8673, 8324, 7949, 7542?\nAnswer: 7097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9 + 3*o - 6 + 11. Suppose 69 = j + 67. Suppose -j = -z + 2, -2*k + 6 = -z. What is y(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26150 + -10?\nAnswer: 26140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 21. Suppose 5*d - 7 = -5*k - 52, 18 = -z*d - 5*k. Round d to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w + 1. Let t(y) = 4*y. Let d(p) = -2*l(p) + 3*t(p). Let b be d(3). Solve 17 = b*n + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/24 + a**3\/3 + 6*a**2. Suppose -2 - 8 = -5*o. Calculate i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1539, 1554, 1585, 1638, 1719, 1834?\nAnswer: 1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016744 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-26)*(-5)\/1\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -110*5\/(-30) + 4 + (-40)\/12. Solve 31 = -d*h - 64 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 56*q. Let l(v) = -4*v**2 + 24*v. Let b(k) = -14*l(k) + 6*u(k). Let h(n) = 39*n. Give h(b(o)).\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4835 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1484.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + d - 14746, -u + 329 = -3*d - 4603. Calculate the highest common factor of u and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*-3*3\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1396 = 5*c - 1416. Solve 0 = c*w + 4*t + t + 11, -w - 3*t - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/38)*z*z))**(-43))**(25\/4) assuming z is positive.\nAnswer: z**(39775\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 703514 or 703513?\nAnswer: 703513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3315 + 0.5315. What is the third smallest value in 2\/3, 0.4, 4.8, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 17. Let t(r) = -6*r**2 - 904 - 5*r**3 + 904 + 6*r. Let l(h) = 4*h**3 + 5*h**2 - 5*h. Give m*l(v) - 6*t(v).\nAnswer: 2*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 104. Put 4, 24, 2, o in descending order.\nAnswer: 24, 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4 + 11*h**3 - 4*h**2 - 44*h = 0.\nAnswer: -11, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4174 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/10506 and 101\/6.\nAnswer: 10506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 137 = -29. Suppose 2*r = -3*r + 15. Suppose -r = 4*g - a - 47, a = -4*g + n. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 23 = s + 4, -3 = -o - 2*s. Let r = -24 - -49. Solve 0*u + 7 = u + o*q, 5*q - r = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28707 - 11221. What is the highest common divisor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) 8 (c) -1\/6 (d) 0.0554 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5677 + -4.81203. Round k to 3 decimal places.\nAnswer: -0.244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3 + 110\/33). Let d = 4.92 - -0.08. What is the second biggest value in 12\/7, d, f?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/18 + 16*z**3\/3 - 51*z**2 - 2148*z. Factor w(y).\nAnswer: 2*(y - 3)*(y + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 39*i**3 + 3*i**2 + 4*i. Let t(h) = 118*h**3 + 8*h**2 + 11*h. Determine 8*l(s) - 3*t(s).\nAnswer: -42*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15056\/13 - 1158. Suppose -a*g**2 + 0 + 6\/13*g = 0. Calculate g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*p - 5108475 + 5108475.\nAnswer: -497*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16137*a - 788*a**2 + 16137*a.\nAnswer: -788*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371756 is divided by 538?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3 + 2013*x**2 = 0.\nAnswer: 0, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 126?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5)\/((-2)\/10) + 9. Determine t so that 2*t - 6*t + s - 6*t**2 - 4*t - 2*t**4 + t**3 + 7*t**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 558645*y - 34095950.\nAnswer: 5*(y - 61)*(y + 111790)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2023 and 23698?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -49*z**6\/24 - 1351*z**5\/20 - 7375*z**4\/16 - 4383*z**3\/4 - 729*z**2 - 189*z - 2875. Solve l(w) = 0.\nAnswer: -21, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -1\/210*d**7 + 0*d**3 + 0*d + 1\/30*d**5 + 0*d**6 + 0*d**4 - 3*d**2 + 0. Find the third derivative of x(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9906306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -3. Let p = -114 - -116.1. Let i = d + p. Which is the third biggest value? (a) -1 (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/10*20\/(-6). Let m = -85.44 + 2.44. Let c = m - -80. What is the closest to 2 in c, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15264 by 3816.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 4:06 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 174304?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0976*1.\nAnswer: -0.0976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -244*a + 12764. Is d(17) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24615 divided by -300?\nAnswer: 1641\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/19, 1, 4, 3\/10 in descending order.\nAnswer: 4, 1, 3\/10, 1\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -478.4 + 430. Let b = -55 - z. Round b to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15400 is divided by 894.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1\/(-3)*-3). Let q(c) = c**2 - c - 7. Let i be q(-3). Solve y = i*s + 7 + 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000721082 rounded to 6 dps?\nAnswer: -0.000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 46*t = -93*t + 52*t + 13, l = -4*t - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50\/29 + -3608\/2059. What is the smallest value in 4, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80.9, -9, -0.1, 0.3 in increasing order.\nAnswer: -9, -0.1, 0.3, 80.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693.1816 kilometers to centimeters.\nAnswer: 69318160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2\/7, -6, -8, -1\/3.\nAnswer: -8, -6, -1\/3, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**3\/3 - 7*w**2 + 14. Let k be v(-15). Let u be 20\/k + (-135004)\/(-3). Round u to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 182, 371, 562, 755, 950, 1147?\n\"Answer: j**2 + 186*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i - 2*i)*(-4*i**3 - 3*i**3 + 5*i**3) - 4*i**3 + 4*i**3 + i**4 + (i**2 + 3 - 3)*(-i - 2*i**2 + i) - 2*i**4 + 2*i**3 - 2*i**3.\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845091887 to the nearest integer?\nAnswer: 29070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 13. Let g be y(-7). Let j = -9 - g. Let x = 23 + j. Is x at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -48?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 - 4*s - 4. Let l(a) = 2*a**3 + 4 - a**2 + a - 2*a - a**3. Suppose -3*p + 4*d - 4 = 4, p + 2 = d. Let z be l(p). Determine v(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501152536 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6574116 rounded to the nearest 10000?\nAnswer: -6570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60416 + 60419 + 25*d**3 + 59683 - 180518.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/8)\/((-686)\/(-4704)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - 2*w**5 + 6*w**5 - 3*w**3 + w**5 + 3*w**3 + (5*w + 2*w**3 - 5*w)*(-52 + 21*w**2 + 52) + 2*w**5 + 2*w**3 - 2*w**3 - w**2.\nAnswer: 47*w**5 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(492\/(-8118))*5\/(30\/(-12))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 349*y**2. Let s(t) = -7*t. What is s(u(b))?\nAnswer: -2443*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -489*w**2. Let t(x) = -11*x - 105. Give t(a(i)).\nAnswer: 5379*i**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**6\/24 + l**5\/120 - 20*l**3\/3 - 41*l. Let p(k) be the second derivative of c(k). Let a(f) = 2*f. Give p(a(m)).\nAnswer: 60*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*n - 77*n - 30*n to the form h + u*n and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13 + 10 - 3*h - 18 - h**3 + 4*h**2. Let w be k(3). Suppose i + 650 = 4*s, -w*i + 4*i = 2*s - 322. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + q - 1. Let z(a) = 13*a**3 + 7*a - 6. Let u be (12\/3 - 1) + 3. Let w(m) = u*o(m) - z(m). Find the second derivative of w(y) wrt y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15597999 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -1.5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 + 149 + (-1 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 + 2*i**5 + 2*i**5)*(-3 + 6 - 1) + (8212*i - 8212*i + 85*i**2)*(3*i**3 - i**3 + i**3).\nAnswer: 259*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112903153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a milligram in micrograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(42\/4)*1. Let n = -2.929 - 0.071. Put 1\/6, n, p in descending order.\nAnswer: p, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596396 is divided by 2232?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in -3\/2, -5, 0.2, -23, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.02 (b) -5 (c) -1\/12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/((-4284)\/(-7532)) + (16\/(-6))\/(-1).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427 + -244. What are the prime factors of d?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -50001*w - 7. Let l(d) = -d**3 - d**2 - 7. Let i be ((-5)\/2 + 2)*0. Let v be l(i). Let q be g(v). What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163112 is divided by 268?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 2204?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*w = 4*w - 20, 4*t = 4*w - 24. Let s be 1*-1*1*-2. Let c(f) = -3*f + 0 - s + 2*f. What is c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 13) in base 2?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3) - 2) + 56\/28. Sort q, -1\/10, 0.1 in descending order.\nAnswer: 0.1, -1\/10, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 677400 and 4200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145031 or -145022?\nAnswer: -145022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17881, 32413, 46945, 61477, 76009, 90541?\nAnswer: 105073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b, -n + 18 = n + 5*b. Let m be (-1)\/n*-4*8. What are the prime factors of (1 - 6\/4) + 1228\/m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + b**2 - 10 - 8*b + 0*b**2.\nAnswer: 2*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 + 4.6. Sort l, 5, 0.\nAnswer: 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -74 + (29\/9 - 38\/171). Let u(k) = k**2 + 21*k - 11. Let s be u(-11). Let h = v - s. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12298 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -1149, -1148, -1147?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 226092.\nAnswer: -1\/37682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150724 is divided by 75353.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -2. Let f(m) = -21*m + 24. Let g(j) = 4 + 7 - 6*j - 4. Let o(b) = x*g(b) - 5*f(b). Let p(i) = -5*i + 11. Calculate 7*o(u) - 4*p(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251290775*o**4 - 96568231*o wrt o?\nAnswer: -3015489300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 823 + 718 = -t, -t + 3*l = -10 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13122 + 13416. What is the greatest common factor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let d be 4\/6 - (-56)\/6. Let y = d - r. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/24 + 5*q**3\/3 + 8*q**2. Let y be u(-10). What is the tens digit of 388\/y + (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 66*y**2 - 210*y + 115. Determine h(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28 - -25)\/((-15)\/3)*2\/(-6). What is the fifth biggest value in 5, k, 187, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1959252739 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9663*u. Let p(s) = -2*s**2. Give p(q(i)).\nAnswer: -186747138*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -3, 4, -30\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -848780 = 5*n - 3*l - 3592906, -n + 548824 = -l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3\/7 + 939*g**2\/7 + 23004*g\/7 + 8640 = 0?\nAnswer: -20, -3, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104\/5? (a) -0.5 (b) 0 (c) 29.4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5*x - 41 = -8*h, -85 = -5*h - 5*x. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4\/6 + 665903*w**3\/3 - 9322544*w**2\/3 = 0.\nAnswer: 0, 14, 1331792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007227 to six decimal places.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 - -144. Is 27 a factor of d\/((-13)\/2) - 7882\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*k + 206*k + 204*k - 1093*k + 485*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 + 6161\/707. What is the tens digit of -3250*4\/(-24)*c\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 113.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 11870402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504030 is divided by 7787?\nAnswer: 5662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-3)\/1*5\/45). Suppose 2*g = b + 4. Solve -3*t + 4 = -g*x - 0, 2*x = 3*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7127267069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 45*n**3 - 2*n**2 - 3 - 3*n**2 - 46*n**3. Let u be 15*10\/(-15) - -4. What is z(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, x: 2, k: 9, d: 5}. What is prob of sequence dd?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*h = 15, 0 = 2*d + d - 4*h + 20. Let c(k) = k**3 + 6*k**2 - 7*k + 3. Let b be c(-7). Suppose -u - b*u + 40 = d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 2:45 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 34 = 24*k. Suppose 0*g = -2*b - 3*g + 14557, k*g = 5*b - 36421. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4573274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - 3*a**2 + 0*a**2)*(3*a - 4*a - 3*a) + (-5 + 3 + 4)*(-5 - 2*a**3 + 5) + 0 + 0 - 2*a**3 to t*a**3 + b*a + w*a**2 + s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttkaltaktpf. What is prob of sequence lt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 485, 413, 285, 83, -211, -615?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c - a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**3 - k**4 - 4*k**3)*(521 - 2379 - 4496 - 279 - 293) to m*k**2 + l*k**3 + w*k**4 + f*k + b and give w.\nAnswer: 6926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/80 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -70, 1.8, 5, -5, -2\/5?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from mmmmmqqmmqmmqqqq.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7))**(1\/3) assuming f is positive.\nAnswer: f**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 3272 + v + 2276 - 2773 as l + z*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r**4 + 16*r**4 - r**4)*(-2*r + 5*r - 5*r) - 6*r**5 + r**5 - 3*r**5.\nAnswer: -66*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 309.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r**2 - 2520*r + 2517. Determine c(-316).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 148186 = 22978. Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a = -43*a - 6. Find r such that 0 - 5\/4*r**5 + r**2 + 0*r - 13\/4*r**4 - r**a = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xexe when four letters picked without replacement from {x: 11, e: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42, 243, -4, 0.4, 1\/7, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {l: 12, x: 6}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 379*x - 133. What is a(2)?\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*l - 7, -3*b - l - 47 = -5*b. Let i = 11827 - 11824. Solve -k = -1, -2*t = 3*t + i*k + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2*t**2 + 3*t + 0*t - 2*t + 4*t**3 to k*t**3 + f*t + u + p*t**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 100. Calculate the highest common factor of 76 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-1\/3))\/b*b)*b)**(4\/17)*b*b\/b**(-2\/11)*b\/b**9*b**1\/(b**(-2)\/b)*(b\/(b*b**(-3)))\/(b*b**(-4)) assuming b is positive.\nAnswer: b**(2434\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 + r**4 - r**3 + (-10*r + 36*r + 46*r)*(-3*r**3 + 1 - 1) as z*r**2 + c + m*r**3 + o*r**4 + b*r and give o.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 2*p + 2*p + (3*p - 4*p + 5*p)*(4 + 2 - 1) - 2 + 2 + p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39886, 79732, 119578?\nAnswer: 159424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 850414418 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 560.745 + -581.8. Let b = a + 21. Let s = 0.09 + b. What is s rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 927 - 924. Solve -m*j + 3 = -k, 0*k - 2 = 4*k - 2*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -39199*f - 2194687. Calculate d(-56).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (-5 + 6 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1366 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*f + 403 - 11 = 0, 3*a + 4*f - 437 = 0. Let s = -55 + a. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 653775*f - 3922470.\nAnswer: -5*(f - 130749)*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 37*x**2 - 141*x + 34. Give h(9).\nAnswer: 1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**2 - 112*o**2 - 386*o**2 - 151*o**2.\nAnswer: -622*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.7217l to millilitres.\nAnswer: 571721.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**3 - 2*j**3 + 2*j**3)*(65*j - 155*j + 68*j) to the form b*j**4 + g*j**3 + m*j + i*j**2 + r and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11556 + -11511. Let i = 19 - 10. Calculate the smallest common multiple of i and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -25*l - 218. Let u be i(-10). Suppose -x = -2*s - 0*s - 346, 4*s + 1396 = 4*x. Calculate the highest common factor of x and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3137238 or -3137302?\nAnswer: -3137238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 181 + 0*x + 9*x - 94.\nAnswer: 9*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 263, 534, 805?\n\"Answer: 271*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11069 + 17036 = 5*w + 5*q, 0 = -q + 5. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.26 - 126.22. Let z = i - -109. Let l = 0.04 - z. Sort 2, -2, l in descending order.\nAnswer: l, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 17084*v**2 + 36720882*v + 1014834744.\nAnswer: 2*(v + 28)*(v + 4257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 305*a - 6772. Calculate n(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(153) + -2)**2*5 + ((2*sqrt(153) - sqrt(153) - sqrt(153))*6 - -4*(sqrt(153)*2 - sqrt(153))).\nAnswer: -348*sqrt(17) + 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 936392 * 121\nAnswer: 113303432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10203 - 10153. Solve 0 = -h*t - 15*t - 455 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 425*((-4)\/2 - -3). Let d = p - 3373\/8. Let j = -2968\/585 - 53\/65. Find the common denominator of d and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t - 9. Let o = 31 - 22. Let k be a(o). Suppose 8*j - 4*j = k. Solve 11 = -4*v - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 3*r**2 + 2*r + 3. Let x be b(-2). Solve 4*d + x*g = -0*d - 21, 4*d + 2*g + 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26892815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (62268 - 1) + 18\/30*10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*j**5 - 215*j**4 + 4094*j**3 + 17356*j**2 + 13976*j - 5504 = 0. What is j?\nAnswer: -43, -2, 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(5) - (sqrt(20)\/sqrt(144) + sqrt(5))))**2 + (sqrt(243) + 0 + sqrt(243) + 5)**2.\nAnswer: 180*sqrt(3) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 2. Let z be p(-2). Let h be (2 - -8)*9\/6. Let k = h - z. What is the greatest common factor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318241*l = 4*j - 318237*l, 8*j + 2*l + 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u - 20. Let c be o(-18). Suppose -h = -4*r - 3*h - c, -4*r = 5*h + 172. Is -38 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8723 and 260.\nAnswer: 174460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/3 + 2401460*l**3\/3 + 1441752532900*l**2\/3 = 0.\nAnswer: -1200730, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9200 and 12.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 3. Let t be (-10 + 1)*(-6)\/(-9). Let y be ((-36)\/(-27))\/(1\/t). Let z = y + 2. Determine p(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -990 - -994. Let i(j) be the first derivative of 0*j**3 + 0*j**x + 0*j**2 - 3\/5*j**5 - 1\/2*j**6 - 1 + 0*j. Factor i(g).\nAnswer: -3*g**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61809 and 10956?\nAnswer: 20520588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 30*l**2 - 36*l + 270. Give a(29).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3*3\/3816). Suppose i = -2*b + 1229, -15 = -4*b + 7*b. Let x = t + i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336.3 + -337.3. Sort z, -2\/49, 3\/2 in increasing order.\nAnswer: z, -2\/49, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4 - 38*f**3 - 516*f**2 - 2970*f - 6075 = 0.\nAnswer: -15, -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738023066 to the power of 1\/2, to the nearest integer?\nAnswer: 61139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 - 3*x. Calculate the remainder when a(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-6) - 9\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 13. Let w(k) = k + 6. Let u(t) = 6*m(t) - 13*w(t). Let x(v) = -v. Let f(r) = -7*u(r) + 6*x(r). Let l(i) = -6*i + i + 3*i. Calculate l(f(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 3, -7 in descending order.\nAnswer: 3, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -11*o**2\/2 - 23*o + 27. What are the prime factors of w(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {p: 1, i: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108280 + 108272 - 19*g + 108280 - 433109 + 108277.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 3. Let q(m) = -2*m + 8. Let o(k) = 3*q(k) + 8*z(k). Let u(h) = 9*h. Give u(o(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 - -59) + 93\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519303 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 2*g)*(-5*g**2 - 3*g**2 + 7*g**2).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/20 + 7*h**4\/12 - 5*h**3\/6 + 9*h**2\/2 - 2*h. Is a(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4005 = 1430*j + 3269 + 2736 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*o**4 + 69*o + o**4 - 68*o in the form x*o + s*o**4 + i + k*o**3 + p*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w. Let h(n) = 218*n + 6 + 217*n - 437*n. Let o(z) = z - 2. Let f(c) = -h(c) - 3*o(c). Determine y(f(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 6, l: 9}. Give prob of sequence ll.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = 2*m. Suppose -v = m*v + 8. Suppose 6*g = 8*g - 2. Is g <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0 - 1\/12*n**4 + 0*n + 1\/60*n**5 - 2*n**2 - 1\/6*n**3. Let o be (4 - 2)\/((-8)\/(-12)). Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095698 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1695*o + 134773. Give f(-79).\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20033303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*m**2*s*z + 29832*c**2*m**2*s + c**2*s - c*s*z - 4*m*s + 941*z wrt m.\nAnswer: -4*c**2*s*z + 59664*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -476 - -200397\/421. Let v = -377\/18524 - u. Suppose -18 = -7*c - 11*c. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 - 108. Suppose p - 978 = -4*r, -h = 2*r - 6. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-8)*(19 - -1). Let q = g + 70. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19431)\/3429)\/((-204)\/2016).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ttdntiittnit.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Let n(j) = -j**2 + 7*j + 3. Let v be n(7). Let f = 0.3 + -0.6. Which is the third biggest value? (a) v (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108658703 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/517 and 38\/121.\nAnswer: 5687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5111884?\nAnswer: 2, 1277971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let p(n) = 7*n - 37. Determine 5*j(h) + p(h).\nAnswer: 2*h - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19440294, -19440296, -19440298?\n\"Answer: -2*f - 19440292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 3*b**2 - 4*b - 4. Let g(w) = 5*w**3 - w**2 - 3*w - 1. Let n be g(-1). What is f(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 10, n: 1, l: 3}. What is prob of sequence lll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 2*v**3 - 2*v**3 + 12*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57090521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (190\/798)\/((-430)\/(-24))*28\/8\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 7*m + 5. Let b be r(6). Let p = 2 - b. Let i(n) = -1 + p*n - 1 - n + 3*n**2. Determine i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, s: 2, u: 1, e: 3, d: 1}. Give prob of picking 2 e and 2 s.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3157964634 to the nearest integer?\nAnswer: 56196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-194 - -290) + (7 - 116)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106974714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-3652)\/165 + 8) - 4081\/(-105).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 82368 divided by -624\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34\/919 - -1668\/4595. Factor 0 + 18\/5*i + v*i**2.\nAnswer: 2*i*(i + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*j - 10 = 145*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = t, 4*h = -t + 2*t + 2. Let b = t - -4. Let j(z) = z**3 + 7*z**2 + 4*z - 7. Calculate j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2065 + 2*r - 9*r - 15*r + 20*r in the form h + z*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**6\/120 + 2*y**5\/15 - 3*y**4\/8 + 5*y**3\/3 + 21*y**2\/2 - 45. Let c(f) be the second derivative of t(f). Give c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25605*a - 25609*a - 243 = 5*s, -4*s = a + 201 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 25*m**2 - 55*m - 28. Suppose x + 1 + 26 = 0. Let i be q(x). What is the closest to i in 0.9, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1047 and 1047 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:36 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 627 + 687 - 5*f**3 + f - 32*f**2 - 3*f**4 - 1318 + 3*f**3 to k + p*f + m*f**4 + t*f**3 + l*f**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 94*x + 207 = 16*x. What is the second smallest value in 5, -0.4, x, -674?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -647, 4, -3, 1.\nAnswer: -647, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 2, s: 5}. Give prob of sequence sss.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4072321 (base 8) to base 7\nAnswer: -12111155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4, 0, 0.35 in decreasing order.\nAnswer: 4, 0.35, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c + 59*c + 589*c = -15884 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, l: 4}. What is prob of sequence la?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + -127. Is b less than or equal to -158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 27*k + 12. Let v(c) = c**2 + 26*c + 13. Let p(j) = 5*g(j) - 6*v(j). Let u be p(-20). Suppose -12*f - 9 + 2*f**u + f**2 - 6 = 0. What is f?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -4*a, -5*l - 4*a + 53 = 47. Solve 2*j = 2*d - 2, 0 = l*d + 5*j - 10 - 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2102 + -10513\/5. Let v = 16.9 + -17. Which is the second biggest value? (a) 16\/9 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6 - 4 + 9*j + 8 + 2. Let c(s) = -6*s**2 + 6*s. Determine a(c(b)).\nAnswer: -54*b**2 + 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + n - 105 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**5\/60 + 2*r**3\/3 + 9. Let d(x) be the third derivative of q(x). Let s(v) = -9*v. What is d(s(m))?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.997 + -0.003. Let w = -35 - -38. Let z be -3 + 3 - (-2)\/(-5). Which is the second smallest value? (a) q (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyupp. Give prob of sequence yyp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112.7 and 0.1?\nAnswer: 11.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9297 - -9299. Let w = 21 - 20. What is the fourth biggest value in -0.4, 12, w, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48139300 divided by -9627860\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 15 (b) -0.01 (c) 0.1 (d) 354.1 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/12 - 9\/(-36))*-148. Let f = s + 234. What are the prime factors of f?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(8\/1886) + 7. Let f = -918 - y. Solve -5*p + 7 = -f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*g + 30. Suppose 0 = -2*f - 2*f + 8. Suppose 4*j - 5*q = -21 + 73, -2*q = f*j - g. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 5*c + 115, -5*w = 4*c - 488. Let q = w - 28. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 9 = -3*n. Suppose 2*w + 2*s = -n*s - 23, 5*s = -25. Let u = -3 + 6. Which is the nearest to w? (a) 4 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22986347.383 rounded to the nearest one hundred?\nAnswer: 22986300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 499668 * -687.\nAnswer: -343271916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**26*c*c\/(c\/c**(-1\/3))*c*(((c**(-3)\/c)\/c*c)\/c)\/c)\/(c**(-2\/3)*c**(2\/13)*c*c)**(-3) assuming c is positive.\nAnswer: c**(5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + (-27 + 61 - (6 + 0))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*w + 77, 0 = -4*i - 0*w - w + 109. Calculate the greatest common factor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 7*n**2 - 2. Suppose -3*z + 4 + 5 = 0. Let q(m) = -m**3 + 6*m**2 - m - 2. Let j(b) = z*q(b) - 2*d(b). Let x be 1\/3*(-9)\/(-1). Determine j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 96. Suppose x*i = 8*i + 580. Calculate the remainder when i is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5258 smaller than -5214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 - 679*q - 5227. Calculate a(-130).\nAnswer: -1457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 184.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 9. Let j(k) = -k - 1. Let z be 7\/6 + 47\/(-282). Suppose -t - 6 = -0. What is t*j(u) + z*x(u)?\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - 3*n**3 - 9*n - 10*n - 37*n**2 - 8*n + 25*n + 5*n**3 in the form c + m*n + g*n**2 + o*n**4 + s*n**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1812767936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13007, 49324, 109853, 194594, 303547, 436712, 594089?\n\"Answer: 12106*w**2 - w + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -2*o**3\/3 - 5*o**2 - 9*o + 47. Let f = 1 - 9. Give j(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 158*v**2 - 173*v - 890. What is the least common multiple of 549 and d(-80)?\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 - 7 + 4 - 36*y - 2069 + 2069 - y + 2 - 2 + (2 - 4 + 0)*(0*y - 3*y + y) - 5*y + 3*y + y)*(0 + 0 + 3)*(4 - 4 + 1).\nAnswer: -96*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*a**2 + 490*a**2 + 490*a**2 + 519*a**2 - 1989*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505788 is divided by 2230.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346879 is divided by 115499?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5739, 23120, 52133, 92778, 145055?\n\"Answer: 5816*n**2 - 67*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 11:40 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:35 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2212549 and 921.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -26. Is t less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*q - 4 = 0, -3*k = -k - 4*q. Let x(y) = y**2 + 4*y + 10. Does 17 divide x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-10))\/(27\/(-180)). Differentiate -3 - h*c**3 + 2 + 0*c + 0*c with respect to c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.04. Let m = s + -0.38. Let p = 0.34 + -0.64. What is the third biggest value in 5, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - -74) + (44 - 28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 23 = -6*o + 3*h, -o - 4*h = -1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26\/5 of a second?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -96, 0.5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -6 - (1736\/(-155))\/(2\/35). Solve -11*w + t = 211 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/12 and 79\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)\/((d**(-2)\/d)\/d))\/(d\/d**(8\/7)*d*d**8) assuming d is positive.\nAnswer: d**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 + 2*m**3 - 3*m**3)*(41 + 54 - 35).\nAnswer: 300*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 511320181 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1320 and 1035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 2, l: 2, h: 1, b: 1}. Give prob of sequence lfl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 p when four letters picked without replacement from {p: 5, c: 9}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 8*r - h - 15, 0 = 5*r + h + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7551 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: Suppose 2*j + 14*j - 48 = 0. Solve -5 = z + 2*f - j*f, 3*z + f - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83014699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + u = 21 - 48, 5*u = -2*m. Solve -l + 4*i = 7 + 1, -m*l = -5*i + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -193 (b) 0 (c) 865 (d) 1 (e) -2 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626445.1 nanograms to grams.\nAnswer: 0.0006264451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1019, 1022, 1023, 1022, 1019?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371 divided by -18.\nAnswer: -371\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(576\/(-20196) + 1\/17)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2\/2 - 2*t - 1. Let v be (-9)\/4 - 2\/(-8). Let d(j) = 1. Give v*d(r) - n(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = -2*s + 2, 6 = -2*s. Is (1 - -8) + o + -2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**4 + 68*q**3 - q**2 + 17*q - 172110 wrt q.\nAnswer: 4*q**3 + 204*q**2 - 2*q + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*i**2 - 11 - 35\/6*i.\nAnswer: -(i + 2)*(i + 33)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5903912 divided by -120488\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5.5. Suppose 4*p - 8 - 17 = -5*u, -20 = 5*p - 4*u. Let g = 10 + -8. Which is the closest to p? (a) g (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3. Let v(z) = z + 1. Give -d(h) - v(h).\nAnswer: -h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 932485.08765 + -3.08765. Let b = 932531.0033 - y. Let i = 49 - b. What is i rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*s = 0, -29*g + 15*g + 3*s = -10*g. Solve 20*l - 22*l = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4) + 15\/(-20). Suppose -h = -m*h. Suppose -2*j = h, 2*f - 106 - 10 = -j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -36, 4\/19, -30.3, -3\/2?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**2*v**2 + 203*u**2*v - 47*u**2 + 3*u + 37827*v**4 + v wrt v.\nAnswer: -42*u**2 + 453924*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944703 is divided by 2739?\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-3*d - d + 3*d) - 2 + 2 + 2*d + 5*d - 5*d - 2*d)*(3*d**2 - 4 + 4)*(6 - 3 - 4).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 60 = 2*g. Let j = -132 - -136. Suppose -5*b = -5*b + 2*b. Solve g = -b*n - j*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99 + -85 - 93) + (2 - (-1 + -2 + 2)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(1080)\/sqrt(6)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*a - 66*a = -6*f + 89*a - 117, -f - 163 = 4*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-4)*(-38)\/76\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35983*h**3 - 17445*h**3 - 17908*h**3.\nAnswer: 630*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, 2, 0.\nAnswer: -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2043323 (base 6) in base 10?\nAnswer: -99267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65b (base 12) to base 7.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 12*b + 510. Suppose 362 = 5*r + 117. What is the remainder when r is divided by s(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32571 - -2394. What are the prime factors of t?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -50.68\nAnswer: 658.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 0)*(6*q - q - 4*q) - 2*q + 6*q - 2*q + 4*q - 3*q - 2*q)*(49*q**2 + 45*q**2 - 5*q**2).\nAnswer: 178*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 18*x - 318. Give d(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36838 or 38012?\nAnswer: 38012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let q = -0.8 + -0.2. Let w = q + o. What is the second smallest value in 0.2, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32031 is divided by 79?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*c - 2*c - 3*c + 6, 0 = -3*g. Solve -8*l - 42 = c for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - g. Let c be i(1). Let q(x) = 6*x - 31. Let n be q(6). Sort 2, c, n.\nAnswer: c, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**2\/13 + 3977430*z\/13 + 2983068\/13 = 0. What is z?\nAnswer: -497178, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 - 20*g\/7 - 144\/7.\nAnswer: 4*(g - 9)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 + 5*t + 3. Let f(z) = -3*z**3 - 3*z - 2. Let h(y) = 7*y**3 - 4*y**2 - 5*y - 1. Let g be h(-1). What is g*f(l) - 4*j(l)?\nAnswer: l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*5509\/(-36202)*4\/14.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 13, -5, -41, -101, -191?\n\"Answer: -h**3 + h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 2, -98 in decreasing order.\nAnswer: 2, -24, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.013159 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 + -4 - (-3 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 3:50 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxsxxxxxtxsmi. What is prob of sequence smt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/7 + 434330*f**3\/7 - 3040228*f**2\/7 + 3474496*f\/7 + 6949056\/7 = 0?\nAnswer: -1, 4, 217158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 23576650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -1\/5 (c) -0.5 (d) -3 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-6))\/(j*j\/j**5))**(-2\/11))**(-4))**(-8\/9) assuming j is positive.\nAnswer: j**(128\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxzo when four letters picked without replacement from {z: 1, g: 1, x: 3, y: 4, o: 2, i: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3\/5 - 808946*k**2\/5 + 2426824*k\/5 - 323576 = 0.\nAnswer: 1, 2, 404470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589149783 to the power of 1\/2, to the nearest integer?\nAnswer: 24272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**0)**(-2\/59)\/((q**(-1\/7)*q)\/q**(2\/15)) assuming q is positive.\nAnswer: q**(-4904\/6195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i - 95. Let f = -21 - i. Suppose 5 - 6 = -o, 4*o - 14 = 2*j. Put j, f, -4 in ascending order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23875 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 7\/6*c**3 + 81*c - 103\/6*c**4 - 1\/2*c**2 + 0. What is the second derivative of l(m) wrt m?\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -13, 6, 43, 104, 195?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-585)\/135)\/(2\/(-48)) and 32.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3 - 0 - (-1 + -13)) + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5195*z + 5077*z + 1652. Solve 0 = -d - d - z for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.1 (b) 151\/4 (c) 1\/4 (d) -3\/17 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*g - 8, -8*g = -3*g - v - 16. What are the prime factors of (g - 30\/18)\/(8\/9564)?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96*-2*(-2)\/30*(-38)\/((-912)\/90)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 1775 = -23*m - 19*m - 385 for m.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27806528*l**3 + 43970353*l**2.\nAnswer: 166839168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109670.\nAnswer: 2, 5, 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 - 154. What is the remainder when 95 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 (base 9) in base 6?\nAnswer: -1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/68 and 19\/1411.\nAnswer: 5644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -83 and 2?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*f + 32*f - 28*f**3)*(0 - 2*f + 5 + 3*f) to the form i*f**4 + d*f**3 + k*f**2 + h + q*f and give d.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (7 - 13) + -25 + (11 - (-102 + 7)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/3 - 58*r**2\/3 + 334*r\/3 - 152\/3 = 0. Calculate r.\nAnswer: -19, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -2*(-1)\/(-2). Let r(z) = -7*z**2 - 5*z. Let c(g) = -6*g**2 - 4*g. Let p(x) = o*c(x) - 4*r(x). Let t(q) = -q. Determine t(p(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*g - 2 + 71 = 0, -3*d - g + 37 = 0. Calculate the remainder when 60 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.2 times -3?\nAnswer: -111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 11 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m. Suppose 6 + 15 = -7*j. Let g(q) = -5*q + 1. Determine j*g(t) + 7*d(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 17*n**2 + 9*n + 5. Give d(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35992150 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Let t = -3882 - -3888. Put j, t, -3, 4 in ascending order.\nAnswer: -3, j, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847184 is divided by 541.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 62907.14 millennia?\nAnswer: 6290714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -12. Suppose 0*z = n*z - 128. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from fdvvuok?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -865.4 + 1131. Let m = -299 + a. Let t = m + 33. Which is greater: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - k + 8 = -4*y, 4*y + 3*k = -16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/24 + 4*f**3 + f**2 - f + 89. Let q(l) be the second derivative of d(l). Let z(g) = -3. Calculate -3*q(p) - 24*z(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5 + 59247*g**4 - 236958*g**3 + 355422*g**2 - 236943*g + 59235.\nAnswer: -3*(g - 19745)*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*r**2 - 34*r**2 + 132 - 132.\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/12 - g**3\/6 + g**2 - 2*g. Let t be v(0). Find the third derivative of 2 + 2*h**t - 2*h**4 - 2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -o - 0 + 4 - 7, 2*t - 4*o = -t - 77 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = -13*t - 35280. Suppose -13*a = -48*a + t. What is the highest common factor of 896 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 2, h: 12}. Give prob of picking 3 h.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 192 - 6*x + 16*x - 188. Let d(s) = -11*s + 7*s + 2*s - 1 - s. Determine 7*d(j) + 2*r(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 4. Let r(q) = q - 2. Suppose 10 = 3*g + o, 26 - 1 = 3*g - 2*o. Calculate g*r(k) + 3*j(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**8\/84 + v**4\/12 - v**2\/2 - 4*v. Let c(p) be the first derivative of q(p). Find the second derivative of c(g) wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250391 to the nearest 100.\nAnswer: -250400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*((-2)\/(-8))\/(-24 - -25). Let y(w) be the first derivative of 9\/4*w - 1\/4*w**3 + 3\/4*w**k + 10. Factor y(g).\nAnswer: -3*(g - 3)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64887 = 19*r + 24*r. Let y = -1506 + r. Let a = -2 - -1. Sort y, a, 4, 2.\nAnswer: a, 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2984 - 2422 + 953)*(2*x - 3*x + 2*x) to the form f*x + u and give f.\nAnswer: 1515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 18 = 2*s. Suppose -28 = 3*v - 4. Let g = s + v. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.7 - -6. Let d = -6.6 - r. Let u = 2.3 - 2. Which is the closest to d? (a) u (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**7\/14 + a**3\/3 + 20*a**2 + 42. Let s(i) be the second derivative of x(i). Differentiate s(d) with respect to d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 5*i**4\/12 - 4*i**3\/3 - 5*i**2\/2 - 10*i. Let a = 11 - -4. Calculate the remainder when b(4) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 9*u + 148*u + 103*u in the form z + o*u + l*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8*(35\/(-98))\/(-5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, m: 1, p: 1, q: 1, y: 2}. Give prob of picking 1 m, 1 k, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by (-48)\/(-128) + (-58)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5 - 12*f + 14*f**3 - 6*f**5 + 6*f**4 - 38*f**3 + 9*f**5 - 34*f**2 = 0.\nAnswer: -1, -3\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywe when three letters picked without replacement from wyeewwyewewwywewweyw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*u**3 - b**3*u - 27818*b**2*u**3 + 2*b**2 + 111929*b*u**2 + 39*u**4 wrt u?\nAnswer: -6*b**3 - 166908*b**2 + 936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270644 plus -1133?\nAnswer: 269511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - -1 - (-5 + 5). Let s(t) = t**3 + 2*t**2 - 2*t - 6. Let j be s(l). Sort -1, j, -4.\nAnswer: j, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*i - 24 = i, -57*i + 6 = -f - 55*i for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + (4*sqrt(228)*1 - sqrt(228) - sqrt(228)) + sqrt(228))\/((sqrt(96)*1)\/sqrt(8)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1172 or -23439\/20?\nAnswer: -1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -61*(1\/(-4) - 3\/4) is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**5\/x)\/x**(2\/45))**(-25))**(-36) assuming x is positive.\nAnswer: x**5360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -1.59. Let n = -0.21 - s. Let x = -0.1 - -0.3. Which is the closest to -0.2? (a) x (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 2. Let x(c) = 1. Let l(a) = u(a) - 2*x(a). Let g(d) = -13*d**2. Determine l(g(n)).\nAnswer: 169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25265759 less than 25265758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 165. Let p = i + 61. What is the third biggest value in p, 3, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10512874?\nAnswer: 2, 691, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 1444 - 1820. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48)*4*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 790589527 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*l = 3 + 13, 0 = -4*x + 5*l + 20. Suppose x = 2*w - 4*w. Solve t + 3*t + 16 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:56 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 21*l. Let g(u) be the third derivative of 5*u**4\/24 - 549*u**2. Give -9*g(v) + 2*m(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145 is divided by 88.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - o - 9 = -6*d, -5*d + 21 = -4*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*s - 101 = 0, 0 = -0*s - 3*s - 12. List the prime factors of o.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {f: 5, y: 4, p: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5260 - 1?\nAnswer: -5261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y - 42. Let o be m(5). Let w = 89\/2 + -45. Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542191720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -37\/32 (b) -0.1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 3, s: 7}. Give prob of picking 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254)\/(-889) + 0\/1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218819497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001 + 111100?\nAnswer: -11011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*-2 + sqrt(27)*-6.\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 2}. Give prob of sequence ygg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 445*t. Let d(v) = 58*v. Let a(f) = 23*d(f) - 3*y(f). Let j(b) = -643*b**2 + 12*b. Calculate j(a(x)).\nAnswer: -643*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 12*u + 3. Let w be l(12). Let x(n) = 3*n**2 + 2*n + 0*n**3 + 1 + 2*n**3 + 0*n**w. Suppose 2*z - 13 = 4*y - 3*z, 3*z - 1 = -y. Give x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.0489, -2\/7, 0.5 in increasing order.\nAnswer: -2\/7, -0.0489, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*z + z = -310, 0 = -4*t + 5*z + 1240. Let c = 135 - t. Let g = c + 250. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 3*f**2 - f**2)*(-6*f**2 + f**2 + 2*f**2 + 4*f**2 + 0*f**2 - 2*f**2 + (4*f + f - 3*f)*(2 - 2 + f) - 4 + f**2 + 4 - 32*f + 32*f + 5*f**2).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**3 - 8937*s**2 - 4043*s + 13801. What is g(-812)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 34 and -258268\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Suppose 2*c - 3*c + 3 = -z, -g*z - 13 = -5*c. Suppose 5*p - 638 = c. What is the greatest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160132 and 12?\nAnswer: 480396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*x - 20, -3*j - 25 = -0*j + 2*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -866 - -864. Sort 1\/2, -2\/9, r in descending order.\nAnswer: 1\/2, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 14*s**2 - 18*s + 7. Let w be c(-15). Suppose -k + w = d + 3*k, 116 = 2*d + 2*k. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2266 greater than or equal to 8581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1595 by 5.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 5, t: 3}. What is prob of picking 1 t and 1 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {j: 1, r: 1, z: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z + 4. Suppose i + 2*i = -4*q + 212, q - 2*i - 42 = 0. Suppose -q = f + 4*f. Is 22 a factor of h(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8429, -8428, -8427, -8426?\n\"Answer: l - 8430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74513, -149036, -223559, -298082, -372605?\n\"Answer: -74523*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - 2*i)*(-1386*i - 1316*i - 49*i - 964*i + 788*i).\nAnswer: 5854*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -24. Let a be 1 - (-21 - (-3)\/(-1)). Suppose -a = -x - 1. What is the smallest common multiple of h and x?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**7\/350 + 19*s**6\/200 + 69*s**5\/50 + 73*s**4\/10 + 20*s**3 - 1765*s**2. Determine n so that m(n) = 0.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 37 = 3*l + 62, -l - 3158*y = -1575*y - 1585*y + 45 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*w + 18 - 42 + 22.\nAnswer: -67*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 3)*(-1 - 131419*k + 1 + 129410*k).\nAnswer: 10045*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -70)*(-11)\/(-11). Suppose -q = -3*i - 19, -3*q - 5*i = -0*q - k. Let f = -18 + q. Solve 0 = -0*b - b - f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156977\/(-10826)*(-15)\/29.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 101?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -447640.\nAnswer: 1\/89528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -11. What is the greatest common factor of 187 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112115 - -310?\nAnswer: -111405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 28\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/40 + a**3\/6 - 3*a**2. Let r(w) be the first derivative of p(w). Let k(t) = -4*t + 3*t - t. What is k(r(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 87\/17376233?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.64595 centimeters in meters?\nAnswer: 0.2064595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*u - 20, -y + 26 = -6*y + 2*u. Let l = y + 2. Let f = l + -1. Sort f, 4, -1 in decreasing order.\nAnswer: 4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(2\/17)\/(t**(1\/3))**(5\/14))\/(((t*t\/(t**(-1)\/t))\/t*t)**(-31))**(22\/3) assuming t is positive.\nAnswer: t**(12729\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - 3*v + 3*v + 3*v - 4*v + (-3 + 4 - 2)*(v - 6*v + 3*v) + 0 - v + 0 + 3 + 3*v - 3)*(3*v - 2*v - 2*v) - 175*v - 1 - 3*v**2 - 174*v + 348*v.\nAnswer: -8*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - -14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 36 + 0 = 0. Let k(b) = -b**2 - 6*b - 3. Let d be k(p). Suppose l - 5 = 0, 4*l - 14 = 3*i + 3*l. Sort 0, d, i in increasing order.\nAnswer: i, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-2 + 2 + -5) - 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7781898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/30 + 23*q**5\/60 + 5*q**4\/8 + q**3 - 4*q**2 + 12. Let c be x(-5). Solve -19*s - c = -22*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g + 1. Let z be i(7). Let t be z\/(-4)*-4*6. What is the tens digit of (-520)\/(-30) - 8\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 2. Let s(x) = -80*x - 1650. Let v(n) = -3*n - 60. Let k(l) = -6*s(l) + 165*v(l). Calculate y(k(z)).\nAnswer: -30*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-105)\/14*14046\/(-207) - 2\/(-23) is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (348\/10)\/((-8)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 55 = -5*r + 2*w, -r + 17 = -2*w. Let g(n) = -n**2 + 7*n + 9. What is the remainder when 24 is divided by g(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -449046 divided by 3939\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1947 * -1\nAnswer: 0.1947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334236 + 2?\nAnswer: -334234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 6*l**2 + 4*l + 13. Let a(h) = 3*h**3 + 13*h**2 + 9*h + 27. Determine 6*a(x) - 13*d(x).\nAnswer: -8*x**3 + 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-24)\/n**21)**(-8) assuming n is positive.\nAnswer: n**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5167*g**2 - 5165*g**2 + 4 - 4.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1268778 = -5594*a + 5475*a. What are the prime factors of a?\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -1 + 7. Let m be 49\/(1 + 6\/(-9)). Let o = m - 147. Solve 4*v + 7 = 5*v + 3*a, o = v + i*a - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from araai. Give prob of picking 2 a and 1 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(((-27)\/120)\/((-105)\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -262*j + 263*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 148138 = -147558 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*d + 920 = -630*d. Put d, 73, 6 in decreasing order.\nAnswer: 73, 6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-4*z + 2*z + 3*z) - 4*z + z + 4*z + 21 - 21 - 16*z + (4 + 2*z - 4)*(0 - 3 + 2).\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = 5*k + 2*y, 4*k - 5*y = 42. Let l(f) = 10*f - f**2 - 41 + 0*f**2 + 47. Calculate the lowest common multiple of 14 and l(k).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21822 divided by -7274?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2060 by 1030.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 169377 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p - 7*p - 14*p + 37*p - 82 to o*p + d and give d.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 + 4*m**2 + 14*m - 4. Let a(v) = v**3 + v. Let x(c) = 6*a(c) - i(c). Calculate x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04187 - 0.24187. What is the nearest to -2 in 0.1, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1.031?\nAnswer: 1.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534 divided by -2?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2052)\/(-3135) - 60\/50\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23511 (base 10) to base 15\nAnswer: 6e76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + 156. What is the greatest common divisor of 78 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/(sqrt(18)\/sqrt(2) + sqrt(9) + sqrt(9)) - sqrt(45))\/((sqrt(90)*-3 - sqrt(90) - sqrt(90))\/sqrt(10)).\nAnswer: 2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.45 (b) -0.2 (c) 5\/2 (d) -1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) - -4*sqrt(72)) - sqrt(72))\/sqrt(3) - (-2*sqrt(384) + sqrt(384) - sqrt(384)))\/(1*sqrt(300)*-6 - (sqrt(300) + -1*sqrt(300))*1).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -159, -138, -117?\n\"Answer: 21*u - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3494 + -104779\/30. Let p = -6035032\/11 - -128850070\/231. Let y = p + -9155. Find the common denominator of y and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 39\/(-30))*4\/(-384). Let l = a - -1441\/320. Is 5 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let s = -0.145 + -0.88. Let q = s - -0.025. What is the second smallest value in -2\/19, q, d?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.93588 - 1.94. What is p rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 8) in base 12?\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/24*(3 + -2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 0*n**2 + n + 96 - 97. Let k(w) = -5*w**2 - w - 6. Let j(p) = k(p) - 3*x(p). What is j(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22341158 and 9418.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 + 9*i\/5.\nAnswer: 3*i*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -535*t**3*u + 15821*t**3 - 14*t*u**2 - u**2 wrt u?\nAnswer: -535*t**3 - 28*t*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, o: 1, w: 5, c: 1}. Give prob of sequence oc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(931)*1 + sqrt(931) + sqrt(931))*-1)**2*-6.\nAnswer: -50274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l - 79. Let s be p(7). Let z(v) = 4*v + 89. Let d be z(s). Solve i + 15 = -2*i - m, 4*m = -5*i - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 minus -0.07?\nAnswer: -551.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -84. Find the common denominator of 67\/15 and (-4)\/(n\/18)*79\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 22*d**2 - 76*d + 46. What is c(25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.159 greater than or equal to -28\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-7)\/((-441)\/(-1716)). Let a = l - 18\/7. Let i = a - 22. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i. Let t(p) = 4047*p**2 + 14*p - 5. Determine y(t(v)).\nAnswer: -52611*v**2 - 182*v + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 15) to base 13\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*q = -32, 0 = 3*w - 5*q + 9 - 1. Solve -8*b + 5*z - 10 = -3*b, -2*z = -w*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242)*-3)**2*2) + -2 + 1.\nAnswer: -4357 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*z + 4 - 26 = 0, -2 = -z. What is the greatest common divisor of 270 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 1 + 1. Let m = 741\/77 - 98\/11. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-20)\/6)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + -5 + 1 + -27 + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6815 divided by -11\nAnswer: 6815\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1\/2 + 47. Suppose 3*j + p = 5*w - 65, 5 = -5*j. Calculate the common denominator of 6522\/660 + (-4)\/w and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1825 * -5.\nAnswer: 9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 102. Let s(p) = 10*p + 305. Calculate -8*a(k) - 3*s(k).\nAnswer: 2*k - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(72 + -8) - 1*-2. Let t = -53 + i. Let g = 21 - t. What is the remainder when 52 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0157796 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**4 + 30*m**4 - 7*m**4)*(103*m + 79*m - 116*m + (-2 - 2 + 6)*(-5*m + 5*m - 2*m)).\nAnswer: 992*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38768+-60126\nAnswer: -21358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 139274 = 164337 - 69701. Calculate the least common multiple of 30 and m.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 6*z + 139 = i, -141 = 2*z - 3*i. Let m = 69 + z. Solve -2*f = -0*w - 4*w - 10, m = 5*f + 2*w + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 19805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199 - 129. Suppose -6*v + v = -w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.97 - -2.03. What is the third smallest value in -0.1, 0.05, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27292576 divided by 2?\nAnswer: -13646288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -2, 1\/3, 0.4, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1171 = 7*y + 23. Let n be 697\/y + (2 - (-18)\/(-8)). Let a = 24 - 14. Solve 4*v - 28 = 4*w, -w - w + a = n*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 24. Let y be v(-14). Suppose -c - y = -2*s + 7, 3*c + 50 = s. Let i(f) = -f - 13. What is the units digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23011100122 (base 4) in base 14?\nAnswer: -558a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/(355\/(-260) - 10\/(-8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -172\/4439 or -1?\nAnswer: -172\/4439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89258652 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00465499 rounded to 5 decimal places?\nAnswer: -0.00465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 7a61?\nAnswer: 7a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*855.7.\nAnswer: -171.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2666356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39410148497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 4*p**2 + 2*p + 2. Let i be j(4). Suppose 3*u - i - 11 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 - 173 - 646*d + 527*d with respect to d.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - -2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Solve -8 = -g*l + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(-2180)\/(-4796).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtt when four letters picked without replacement from jyytuuuyjiyuyuijtttt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(108)\/(sqrt(6) - sqrt(6)*-2) + (sqrt(162)*-2)\/sqrt(9) + 4)*-6.\nAnswer: -6 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*s = 7, 2*t - 7*t + 5*s = -55. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let f(m) = m. Determine -2*f(w) + r(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/156 and 83\/401248.\nAnswer: 15648672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319267 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/10)\/((-3)\/(-4)). Let y be (-1 - 0\/1)\/(w\/122). What is y rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 32 = 4*t + 20994*s - 20990*s, 4*t = 7*s + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 23*h**3 - h**2 - 2*h + 15. What is the remainder when 1138 is divided by c(2)?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 16*d = -20. Solve -d*r + n + 30 = 3*n, -4*r = 4*n - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -7, -113\/24?\nAnswer: -113\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3198 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 6. Let l be m(-3). Suppose l*f = -0*f - 3. Let d be (3\/6)\/1 + -2. Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 116\/25 (b) -1 (c) -1\/2 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 + t**4\/6 + 13*t**2. List the prime factors of a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 1404.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2696 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*w**3 + 11061*d*w**2 - 8*d*w - 6*d - 119439 with respect to w.\nAnswer: 6*d*w**2 + 22122*d*w - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(1152) - (sqrt(1152) - -5*sqrt(1152)*-1))\/((3*2*sqrt(108))\/((sqrt(108)\/sqrt(3))\/sqrt(3))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -4 (c) 0.4 (d) -16.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-36)*(-15)\/10)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22514963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280090213 to the nearest integer?\nAnswer: 16736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*d**2 + 0*d - 2\/7*d**3 + 0.\nAnswer: -2*d**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3 + 98\/34). Suppose 4*f - 4*c + k = 0, 2 = -3*f - 5*c - 33. Let y = 11 - f. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 837.024 months?\nAnswer: 0.69752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = -429. What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - -2) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600 (base 11) in base 10?\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 34349.971 to the nearest one hundred.\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.1 - 10.6. Let h = 4.87 + 0.13. Which is the nearest to 1? (a) 0.5 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 17*q**2 - 15*q - 1. Let t be v(6). Let b = t - 265. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1252527288*b**3 + 10323*b - 15107?\nAnswer: -7515163728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.037\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccvvccv. What is prob of sequence cccc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-80) - (0 + 1))*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577384478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71980 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 25685050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -16 - 0. Let b be 1\/(-4)*j*-9. Let h(g) = g**2 + g + 12. What is the units digit of h(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231508377 divided by 1\nAnswer: -231508377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(572) + (sqrt(572) + 4*sqrt(572))*-2)\/(sqrt(704) + -3*sqrt(704)))**2 + 0).\nAnswer: -1053\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -32*k**2 + 43*k + 1815. What is m(-7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-35) - 9\/(-7). Let y = l - -5. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-44)*9\/18\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 20 + 11*q)*(1 + 0 - 2)*((2 - 3 - 1)*(1 + 3 - 3) - 7 + 1 + 3) as x + l*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 13*b + 9 = 12*b, 19 = -5*g + b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2232 = 778. Suppose 3*a - v + 154 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-219)\/(-21) + 96\/(-28) + 4. What is the greatest common factor of y and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 159\/5?\nAnswer: 159\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 5*u**5 - 14*u**3\/3 - 261*u - 789. What is the derivative of z(r) wrt r?\nAnswer: 100*r**3 - 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.6788 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -232\/84123 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/124669 and 4\/357.\nAnswer: 44506833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - -2070463?\nAnswer: 2070526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33995 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: 5784\/(-7712)*(-4)\/33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3242 - -0.3242. What is the nearest to h in -6\/71, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(95)\/((6*sqrt(10))\/sqrt(2)) - (sqrt(57)\/sqrt(3)*6 + 0 + sqrt(19) + 5)))**2 + 1.\nAnswer: 31975\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1395 and -0.01?\nAnswer: 13.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3476253, 3476244, 3476233, 3476220?\nAnswer: 3476205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -37 - (0 - (-48)\/22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*l - l + 39, -5*l - 5*h + 60 = 0. Let t = 2 - -3. Suppose -t*k = -21 - 24. Is l != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119185214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58230043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104789 or 105024?\nAnswer: 105024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5\/134, -0.3, 0.089?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41234 - 206171\/5. Is -13 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -256, -383, -574, -841, -1196, -1651, -2218?\nAnswer: -2909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 87*r + 121 - 439. Let o(t) be the second derivative of -5\/2*t**2 + 1\/4*t**4 + 19*t + 0*t**r + 0. Find the first derivative of o(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -57 + (-1 - 1) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 4 (c) -5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-56))\/((-3)\/4*(-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7)*(-203)\/290\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*m**3 + 239*m**3 - 465*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10416, -12656, -16356, -21522, -28160, -36276, -45876, -56966?\nAnswer: -69552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4657217 and 635.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13865?\nAnswer: 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02377, 3\/5, 4, -5, -1 in decreasing order.\nAnswer: 4, 3\/5, 0.02377, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -1. Let w be 4\/22 + (-2061)\/(-99). Let m = 26 - w. Solve l*h = c - 14, -2*c - m*h - 8 - 3 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 7. Let x be l(-5). Suppose 3*a = x*f - 2*f + 20, 5 = -a - 2*f. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 54 = -o. Suppose 5*r = 2*r + o. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 13*p + 20. Let y be m(9). Let f be y\/6*9*2\/(-8). Let x be -3*8\/(-2)*f\/4. What is the greatest common factor of x and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1 + (-9)\/3). Let o be (-2)\/7*(-4)\/d. Find f, given that 2\/7*f**3 + 0*f + 6\/7*f**2 - o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twetwtwtwwt. What is prob of picking 1 e and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.1 - -15. Which is the third smallest value? (a) 4 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*18*(-14)\/((-84)\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(-24)\/(-6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34125654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-756)\/96)\/(4\/8)*8\/(-3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 391749 + 104?\nAnswer: 391852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -18891733.\nAnswer: 2\/18891733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45.3 - -0.1. What is d rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/20 + 4*u**4\/3 + 41*u**3\/6 + 16*u**2 + 55*u. Let c be j(-13). Solve -17 - 1 = c*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**2 - 3\/20*b**5 + 0 - 1\/3*b**3 + 0*b**4 + 2*b. Find the second derivative of j(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.6 - -4. Let k = -1.6 - c. Let n = 2 + -1.9. What is the nearest to n in 0.4, k, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -22) + (1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10323 (base 4) to base 7\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736))**2 + sqrt(76) + 1*sqrt(76).\nAnswer: 4*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -6. Let g be f\/10 - 118\/(-4). Suppose -3*p + g = -4*w, -2*p - 3*w + w + 24 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*q + 104 = 0, -3*q - 2*q + 50 = 3*f. What is the least common multiple of f and 475?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034, 1035, 1036, 1037?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 16 - 1 = 0. Let w = 36.4 - 36. Let t be (-3)\/(-2)*6\/27. What is the closest to t in i, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394062.4kg to nanograms.\nAnswer: 394062400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(72)*1 + -5 - (sqrt(72) + -5*(sqrt(72)*1 - sqrt(72))))**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10439915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q + 2*d - 6 = 0, -4*q - 5*d = -3. Suppose -6*s + 2*s = -4*v - 1264, -q*s + 647 = v. List the prime factors of s.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 + -0.3. Which is the closest to -3\/5? (a) -5 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/8)\/((-3)\/12). Suppose 3*y = i - y - 10, u*i - 5*y - 16 = 0. Suppose -l + 11 = -4. Solve 2*a - l = -2*a - z, -5*a + 15 = i*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, -25, 3, 2, 56 in descending order.\nAnswer: 56, 3, 2, 0, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*k**2 + 5*k**4 + 22*k**2 - 2*k**2 + 2*k**3 + (-4 + 3 - 1 - 4 + 1 + 4 + (-2 - 1 + 5)*(0 + 2 - 1) - 2 + 0 + 4)*(1 - 1 - 4*k**4).\nAnswer: -7*k**4 + 2*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 94*f + 194. Give c(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 426\/25463?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 6. Let i be s(-6). Suppose 2*n + 2*v - 304 = 0, i*n = 2*n + 4*v + 584. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + (2 - 3) - -6) + 0 + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 1)*-5 + -5)**2.\nAnswer: 500*sqrt(17) + 10725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 4*r + 7. Let a be j(-5). Suppose 0 = i + f - 2*f - 9, -a*i = 4*f - 12. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1539) + -2*sqrt(1539) + 5))**2 + 5 + (sqrt(1539) + sqrt(1539) + 1 + 2 - sqrt(1539)).\nAnswer: -81*sqrt(19) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = -o + 3*b, 0 = o - 4*b - 471 - 53. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-235)\/(-235) + -1*(-4 - 7))\/(18\/(-42)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 + 4*d + 4. Let q = 57 + -40. Suppose 5*n = 2*w - 17, -q = n - 2*w + 5*w. Calculate f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081595 + -41.37?\nAnswer: -41.288405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 16\/5, 2\/15, 0.093?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4298 - -4297.5. What is the nearest to -0.7 in l, -103, -2\/9, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, -18, -4 in increasing order.\nAnswer: -21, -18, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiixixxixsxx. What is prob of picking 2 i?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2. Let j(r) be the first derivative of -2*r**3\/3 - 11. Determine j(o(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (1 + 6 - (14 + (-8 - (-11 - -14))))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1358286 less than or equal to -1358289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-336))\/(9\/(-87)) - 36\/(-63)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*c + 16, -l + 3*l = 0. Suppose -36 = -2*u + 4*y, 3*u + y = c*y + 45. Let w = -171 - u. What is w rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -13, -1, 27 in decreasing order.\nAnswer: 27, -1, -13, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2313*p - 2274*p - 44031 = 0. What is the remainder when p is divided by 217?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 a when four letters picked without replacement from qgaagaqaa?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 7. Let r be v(-4). Suppose -7*u + 4*u - r = 0. Put u, 0, 1 in increasing order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 3*p - 3*p)*(0 + 0 - 3)*(0 + 4 - 2)*(-2 - 1 + 1) to l*p + q and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from fuhuuhhrhhftbbf?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-4) + (-15)\/10. Solve 3*x = -3 - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37911 or -36897?\nAnswer: -37911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/24 and 55\/122.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 754 + -133?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-4) - -46) + 1. Let s = 47 - z. Solve -s*b = 2*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272706 is divided by 20977.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -17*h + 12. Let s(i) = i**3 + 3*i**2 - 3*i + 4. Calculate the remainder when m(-3) is divided by s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 12:08 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -145, -857, 0 in decreasing order.\nAnswer: 0, -2, -145, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19344)\/(-35464) - 5\/((-275)\/(-1405)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10126*w**2 - 20302*w**2 + 11126*w**2 in the form c + h*w + t*w**2 and give t.\nAnswer: -19302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*108\/((-9)\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741 divided by -513.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (444\/3)\/4 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25*q - 21*q = -12, 2*q = -a + 9. Find the second derivative of f**2 - 93*f + 2 - 2*f**2 - 180*f**a + 424*f**5 wrt f.\nAnswer: 4880*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -19*h + 2. Let o(f) be the first derivative of f**6\/180 - 4*f**3\/3 + 11*f**2 - 160. Let w(t) be the third derivative of o(t). What is y(w(s))?\nAnswer: -38*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(91\/21)\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 16. Let m = -17.99999945 - l. Round m to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:01 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12 + 14 + 0 + -1 + 22\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -24, -3, 18?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 30*t**2 - 71*t - 167. Calculate the remainder when s(-20) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 103. Let o = u - 46. Which is the nearest to 5? (a) 5 (b) o (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 4. Let w = l + 9. Let f be (w\/4)\/(5\/(-4)). Is -2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 268 = -u - u, -4*y = -3*u + 419. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12337083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llax when four letters picked without replacement from qllxaapxqqlpa?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 6*c + 8. Let y be (15\/25)\/((-1)\/(-5)). Let j(m) = 2 + 2*m + y - 2. Give j(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*q + 26 = 5*r, 2*r - 3*q = 23. Suppose r*i - 75 = 1. What is the remainder when 11\/(2\/(9 - -1)) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585032 divided by -3?\nAnswer: -2585032\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 689080, 689058, 689036, 689014, 688992?\n\"Answer: -22*p + 689102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*3)**2 - (sqrt(27)*-1 + 3) - (0 + (3*sqrt(675))**2).\nAnswer: -3891 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*p**3 - 2 + p**4 + 2 - 109780925*p + 109780605*p wrt p.\nAnswer: 12*p**2 - 924*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**5 + 36 - 36 - 3*j**2 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107\/(-1148) + (-25)\/(-35)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 19.8, -3\/2 in decreasing order.\nAnswer: 19.8, -1.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5895*k**5 + 7*k**2 + 187543*k wrt k?\nAnswer: 117900*k**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2510422 and -3.\nAnswer: 0.7531266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 - 98. What is the remainder when 22 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (-2*sqrt(228)*1)\/sqrt(12).\nAnswer: -10 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -2*p**7\/105 - 7*p**4\/24 + 7*p**2. What is the second derivative of j(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 6*m**2 - 3*m**2)*(-2 + 7 - 1)*(-m + 7*m + 0*m).\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 + 3*h**3 - 9*h**2 + 2*h = 0. Calculate h.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -68*y**2. Let c(w) = -9511*w. Give h(c(j)).\nAnswer: -6151220228*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*u - 13 = 0, -3*l + 2*u = -2*u - 11. Let i = -2 + 2. What is the first derivative of i*g - 5*g + 3*g + l wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 5, s: 2, p: 2, r: 2, c: 1, o: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/11470 and 47\/372.\nAnswer: 68820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)\/m*m*m\/m**(-31) assuming m is positive.\nAnswer: m**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.56 - 3.16. What is the fourth smallest value in 2\/3, -0.3, k, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 10*k - 15*k. Solve -4*c - 7 = -k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18414)\/(-792))\/(0 + 9\/(-12))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 470*h - 17418. Determine o(-71).\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((2272\/355)\/(-16))\/(14\/25)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce - -2adec?\nAnswer: 2ad1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -117826.\nAnswer: -3\/117826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 511331 - -4?\nAnswer: 511335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 40?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 != -12.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15131 is divided by 105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.127291 to two dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 6. Suppose -8 = -2*q, 3*i + 3*q - 8 = -2*q. Let h be v(i). Let d be 1*112 - (0 + h). What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6762*d**3 + 20021*d**3 - 6466*d**3 - 6777*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*m + 4*m, -2*m = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 569 and -5.\nAnswer: -2845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - g - 138 = 0, 60 = -f - 5*g - 9. Is -68 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l - 4*l + 4*l)*(-3 - 1 + 1) + (-1 + 2*l + 1)*(-14 + 11 + 10) + 2*l + 2 - 2)*(-5 + 3 + 4).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*u - u + 185 = 0, 5*u = 0. Let q = 43 + s. Let y(d) = -6*d**2 + 2*d**2 - 2*d**2 + d**3 + 5. Give y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/73476 and 29\/32656.\nAnswer: 293904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -794.81 and 1.\nAnswer: -794.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 7*y**2 + y + 9. Let q(u) = -u**3 - 6*u**2 - u - 8. Let x(w) = 7*k(w) + 6*q(w). Let o be x(-13). Put o, -5, 16 in decreasing order.\nAnswer: 16, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/60*-8*9\/108?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(3 + sqrt(13) + sqrt(13)*-2 - (sqrt(1053) - (sqrt(1053) + -1))))**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.0801 + -4.120179. Round y to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*m + 7571 = 33016 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -10, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 17, 9, -13, -55, -123, -223, -361?\n\"Answer: -d**3 + 2*d**2 + d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*z**4 - 9*z**3 - 45*z**2 - 3*z + 18 = 0. What is z?\nAnswer: -1, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000010 (base 2) to base 15.\nAnswer: 4ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 741076.\nAnswer: 2223228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 0.08 (c) 39 (d) -2 (e) 3\/4 (f) 4 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 28*t - 24. Let v be p(11). Let i = -323\/2 + v. Is i smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-20) - 12\/10. Let f = -44 + 221\/5. Which is the third smallest value? (a) f (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 16\/295587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31157358 * 5\nAnswer: -155786790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7092580264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k + 65. Let t be j(-7). What is the derivative of -32 - 7*x**2 - 13*x**t - 16 + 11 wrt x?\nAnswer: -40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016*b + 266*b - 12000 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*m + 10*m + 3*m)*(-7 + 7 + 2*m) - m + m + m**2)*((2*m - 2 + 2)*(-1 - 2 + 2) - 3*m + 1 - 1).\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/289 (b) 3\/10 (c) -0.03 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z**3 - 28*z**3 - 79*z - 38*z + 11*z**3 - 89*z to the form w*z + b*z**2 + d*z**3 + k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 718593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 39 + 42. Suppose 5*t + 477 = 1962. Calculate the highest common divisor of i and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862398418.\nAnswer: 2, 239, 3896231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1449 (b) -3\/10 (c) 1.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 - 2 = 0. Suppose 2*k + 19 = 3*q, 4 - t = -3*q - 2*k. Suppose 0 = m - d, -5*m + d = -2*d. Solve 3*f + 0*s - q*s = m, -2*s + 7 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 4 - 1 + 5 + 18896*c.\nAnswer: 18896*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 3 (c) 0.1 (d) 6 (e) -699\/7 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.4 + 4.\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 - 2*i - 7. Is n(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -54*q - 27. Let u be k(-4). Suppose 17*z + u = 26*z. Solve -22*y + z*y = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 11.5. Let k = 6 + p. Let l = k + -13. Which is the closest to 1? (a) l (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 0*o**2 - 931 - 3*o - 2*o**2 - 928 + 1862. Give y(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 94. Calculate the greatest common divisor of g and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/7, 131\/7, 5, 0.3, 1.7 in increasing order.\nAnswer: -2\/7, -1\/4, 0.3, 1.7, 5, 131\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n + 20*n - 36*n - 8*n**2 + 3*n**3 to s*n**2 + x*n + c*n**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiyr when four letters picked without replacement from brybbyixbrrybro.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44765609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 28995*q - 280236675.\nAnswer: -3*(q - 19330)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.88 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -467*y + 548*y**2 - 1109*y**2 + 560*y**2 in the form n*y + z*y**2 + o and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 + 34*y - 949. What is the ten thousands digit of f(84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 16300147?\nAnswer: 16300141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/12*(-12)\/8. Let x(d) = 2*d**2 + 3*d + 1. Let w be x(q). Solve -w*y + 34 = -5*i, 2*y - 1 = -i - 0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 + 131*z + 2. Let l be r(-22). Solve -2 = -u - u + 2*m, m = -4*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 60?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -1013 in ascending order.\nAnswer: -1013, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/10*10\/(-3). Let r(a) = 14*a - a + 4 - q*a - a**2. Give r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 3)*(-44)\/(-33). Let j be ((-26)\/(-10) - f)*1. Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8322 from 8122.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -124983.9 to the nearest one hundred.\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*p**4*u - 2*p**4 + 67*p**2 + 20*p*u - 136*p - u + 2 wrt p.\nAnswer: -204*p**2*u - 24*p**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -2\/7, -0.2207649?\nAnswer: -0.2207649","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/24*144\/(-828).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4 + 6. Suppose 4*y + c - 182 = 8, 0 = p*c + 10. What is the greatest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 43*q**2 + 217*q + 4270. Calculate p(-22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/275 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 8*g - 3. Let s be a(7). Solve -s*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3852, 0, 3 in decreasing order.\nAnswer: 3, 0, -3852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20128409 is divided by 3555?\nAnswer: 3554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 92*y**2 + 92*y + 103. What is n(47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/6 - 82*h. Let g(d) = 5 + 21*d - 6 + 1. Give m(g(t)).\nAnswer: 882*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (3 + 2 - 3)*(-6 + 3 + 1))*(v - 6*v - 4*v).\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 419600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 2430 and 2618 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 + 10 = 4*r, 5*r + n - 17 = 0. Suppose -r*h - h = 0. Suppose h = -5*o - 0*o + 45. What is the highest common divisor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30.84 or -5?\nAnswer: -30.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + i - 9. Let l(m) = -2*m**4 - 15*m**3 + m**2 + 36*m - 41. Let o(u) = 3*a(u) - l(u). Solve o(b) = 0.\nAnswer: -7, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18959.7 kilograms to nanograms.\nAnswer: 18959700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from irxxrhirrixixxi?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15415 is divided by 416?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 25, -454, -1 in ascending order.\nAnswer: -454, -40, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1956117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k + 9. Let c be l(1). Let j(s) = 5*s**2 - 231*s + 47. Let o be j(46). Solve -c = -w - o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-1704)\/127800).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5580922 divided by 2?\nAnswer: 2790461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3072 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 950619821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/(-144)*-4*28\/3. Suppose -g*i = -30*i + 39100. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 145*o + 4. Let z(q) = -27*q - 1. Let a(n) = -j(n) - 4*z(n). Let b(i) = -3*i + 3*i - i**2. What is a(b(u))?\nAnswer: 37*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307343858.\nAnswer: 2, 31, 4957159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 2 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*r + 10, 3*r - 53*b + 52*b = 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8052, -16508, -25364, -34620, -44276?\nAnswer: -54332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s. Let x(m) = -2*m**2 + 118*m + 95. Determine x(l(h)).\nAnswer: -50*h**2 + 590*h + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h + 482. Let j be i(0). Suppose 2*m - j = 538. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8340404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -20*h - 895. Let k be c(-47). Solve -3*p - k = -33 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 784.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-12) - 1)*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17181 - -17186. What is the closest to 0.07 in 2.4, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2410, -8849, -19758, -35143, -55010, -79365, -108214?\nAnswer: -141563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 7*j + 1. Let s be g(7). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5 - 1. Let s = -18 - -11. Let a = w - s. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/10 + s**2 + 2*s - 25. Let p(t) = t**2 + 4. Let h be p(0). Let y(q) = -2*q**3 + q**2 - 2. Calculate h*a(c) + 3*y(c).\nAnswer: 2*c**3 + 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -515 + 515.4. What is the third biggest value in -39, -14, d?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 24*j**2. Let g(h) = -h. Calculate t(g(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*v - 3*v + 2100000, 0 = 5*v. What is l rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k + 9511 - 9421 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3992004*o**3 + 79848072*o**2 - 159844*o + 80.\nAnswer: -4*(o - 20)*(999*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Suppose 0 = 3*j + t - 5 - 2, -b*t = -4*j - 16. Let a = -12 + 10. Is a smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6751435 and -39\/19.\nAnswer: 128277265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**4 - 13*d**4 + 29*d + 7*d**3 - 4 - 2*d**2 + 3 + 8*d**4 + 3*d**3 to g*d + a*d**2 + c*d**3 + o + v*d**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1)*y**(-6))\/(((y**(-1)\/y)\/y)\/(y**7*y))*y**1*y\/(y\/y**5)*((y\/y**(-3))\/y)\/(y\/y**(1\/7)) assuming y is positive.\nAnswer: y**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -3, -3\/11, 531.7 in ascending order.\nAnswer: -3, -3\/11, 2\/9, 531.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 3 - 0)*0. Let i be 1\/6 - 4*(-1)\/(-24). Suppose i = -f*r - 3*r + 12. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 911806, 1823608, 2735410, 3647212?\n\"Answer: 911802*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 3635 = 11*d + 3110. Let y(v) = -11*v + 161. What is y(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = -4*w. What are the prime factors of (-6)\/(-2)*10\/w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244941432 divided by 61235358.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 8*k + 4. Suppose 8 + 19 = -3*h. Let b be f(h). Put 2, -15, b in increasing order.\nAnswer: -15, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -0*s - 30. Suppose 4*o + 20 = 5*d, -d = -o - 0*d - 4. Factor o*k**2 + 0*k + 2\/11*k**s + 2\/11*k**4 + 0*k**3 + 0.\nAnswer: 2*k**4*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95.65 and -39?\nAnswer: 134.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748.62233us in days?\nAnswer: 0.000000020238684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 12. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*i = -28, -80466*y + i + 39 = -80460*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 18494?\nAnswer: 129458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2267 - 2264. Let p = 1539\/664 + -16\/83. Is p >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -276*n**4 - 118*n + 249*n**4 + 107*n - n**2 in the form i + z*n**2 + w*n + c*n**3 + d*n**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -8)\/9 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -716*t + 703*t = -572. Calculate the remainder when t is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - ((0 + sqrt(117) + 5 - sqrt(117)) + sqrt(117) - sqrt(117)))**2 - (1*(sqrt(117) - (sqrt(117) - (sqrt(117)*1)**2)) - sqrt(117)).\nAnswer: -27*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-4))\/(3\/(-76)) is divided by ((-290)\/(-20))\/(-29)*(0 - 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 45. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104\/6 - (-1 + (-3)\/(-9)). Suppose -3*y = 4*g - a, 2*y - 4*g + 0 + 8 = 0. Let q(l) = 8 - 2*l + 2*l**2 - 10 + l**y. Calculate q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -29*a**2 + 3. Let x(u) = -10*u. What is x(h(s))?\nAnswer: 290*s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(sqrt(242) + sqrt(242)*-4))**2 - (-5 + -5 + sqrt(242) + -3))*-5.\nAnswer: -10975 - 605*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2889491, -2889498, -2889493, -2889470, -2889423, -2889346?\nAnswer: -2889233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 0\/((-4)\/(-2)). Let s = -0.034 + 1.034. What is the second biggest value in s, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*r = 241431, 4*r - 9*r - 402395 = 5*v. Round v to the nearest one thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 61995 divided by -5\nAnswer: -12399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 8*z**2 + 42*z + 241. Let m be r(-7). Let d(q) be the second derivative of q**4\/12 + 2*q**3\/3 + q**2\/2 - q. Give d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 567.889 * 143.\nAnswer: 81208.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9243 is divided by 776.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 1867247?\nAnswer: 1867229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-2)*8\/336*49\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 k when four letters picked without replacement from {g: 2, q: 7, b: 2, e: 2, k: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqqqqb. Give prob of picking 3 q and 1 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/8*160\/6. What is the highest common factor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*a + 61*a + 4 - 4*a + 11*a.\nAnswer: 256*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 2\/7, -0.2, 273509?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 28\/(-8) - (-6)\/4. Let a(n) = 7 + 3 - 2 - n. Let x be a(0). Calculate the highest common divisor of x and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -14. Let g = 85 - p. Suppose g = 4*k - 21. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 + 178*y**2\/7 + 744*y\/7.\nAnswer: -2*y*(y - 93)*(y + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021.64 weeks to seconds.\nAnswer: 1222687872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 26283444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 689 - 685. Solve -2*r + 3*r + t = 0, b - 2*r = 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4649906 to 1 dp.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**3 - 2*z**3 + 5*z**3 + 2*z**3 + 10*z wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.97. Let v = c + 0.03. What is the nearest to v in 3, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 - 3*a - 7350*a**2 + 7351*a**2 + 2*a - 7*a**3 - 2*a. Give u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mossnsonws. Give prob of sequence wnn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {e: 1, z: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2 + (3 - 5 + 1)*(-1 - 1 + 1) + 4 + 3 - 5)*(5*o + 8*o + 37*o).\nAnswer: 100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 374515?\nAnswer: -374516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99720.52 kilograms to milligrams.\nAnswer: 99720520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 5*n - 338*y - 8 = -339*y, -3*n + y = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*n)*(-10 + 13 + 15 + 3*n) - n**2 - 3*n**2 + 3*n**2 + (-1 - 1 + 1)*(n**2 + 3 - 3) - 4*n**2 + n**2 + 4*n**2.\nAnswer: 5*n**2 + 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 9*o**5\/140 - 5*o**4\/7 + 39*o**3\/14 - 27*o**2\/7 + 8*o. What is y in b(y) = 0?\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, 1, 7\/13, -0.4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:50 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 3*x)*(1 - 1 - 3) + 4 - 2*x - 4 + 3*x - 2*x - 2*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1874*b + 4741*b**2 + 1874*b - 110 + 110 in the form n + f*b**2 + o*b and give f.\nAnswer: 4741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (17 + 11 + (-66 - 16)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or 211\/94?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-205)\/(-7) - 2\/7 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 4*w**2 + 0*w**4 - 2092*w - 3 + 2104*w - 2*w**4 to n*w**3 + s*w + d + r*w**4 + p*w**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17907 + -17970.53. What is c rounded to 0 decimal places?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:42 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*g + 4*k - 8, 4*k + 20 = 3*g. Suppose -146 = 4*b - g*d - 54, -d + 71 = -3*b. What is the tens digit of 4\/16 + 33\/b*-34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -16*u - 35. What is the closest to 1 in -26, u, -4\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:29 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*v - 5, 71*v + 4*w = 68*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-10))\/(11\/1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 8*u**2 + 34*u + 30. What is k(10)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34442400.93 rounded to the nearest 10000?\nAnswer: -34440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 7) to base 3.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b)\/b**18 assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let f = 31 + x. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z. Let a be f(2). Let o be (4\/(-6))\/(36\/(-48)). Are o and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6423237?\nAnswer: 3, 37, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18609 is divided by 405?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.4 (c) -33 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 2*c**4 - 98*c**3 + 26*c**2 + 576*c - 504 = 0. What is c?\nAnswer: -6, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.5 (b) -2\/9 (c) 7 (d) -3 (e) -90 (f) -0.18 (g) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 + 3.4. Sort -1, 2\/5, -2, f in ascending order.\nAnswer: -2, -1, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -50*g + 2. Let f(c) = -101*c + 3. Let b(d) = -3*f(d) + 5*i(d). Let l(w) be the third derivative of -w**5\/60 + w**2 + 129*w - 16. Give b(l(y)).\nAnswer: -53*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 - 14\/10. Let y = -541 + 538. Sort y, x, 0.5, 3.\nAnswer: y, x, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 6:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 25968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0)**2 + -5.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 81*w**2 - 63*w + 409. What is the first derivative of a(b) wrt b?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.2. Put 0.1, o, 5, 0 in increasing order.\nAnswer: 0, 0.1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101997036.\nAnswer: 2, 3, 944417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (2*sqrt(847) - sqrt(847))*1 - ((sqrt(847) + -2)*-4)**2)*-3 + (-6*((2 + sqrt(847))*-2 + 5*(sqrt(847) + -1 + sqrt(847))))**2.\nAnswer: -59136*sqrt(7) + 1995252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-220)\/(-28) + (-1)\/(-7). Solve 4*g + 4 = 4*z, 2*z + 0*g - t = -g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -10. What is the biggest value in h, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15088 - 13667. Calculate the smallest common multiple of 1 and y.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h - 8. Let k(j) = 5*j + 9. Let n(v) = 7*d(v) + 6*k(v). What are the prime factors of n(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15777.90827 rounded to the nearest ten?\nAnswer: 15780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 - 5*d**2 - 2*d + 32. Is c(9) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -967 + 975. Suppose 0 = -3*a + 215 + 343. Suppose 5*s + a = n*s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -52. Let x be 11 - (m\/6 + -8). Solve 2*z = -0*o + 4*o - x, 5*z = 5*o - 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -z - 3*z. Suppose 3*j = f - 1 + 3, 4*j = -4*f - z. Let l = -222 + 222. Put 1\/2, l, j in descending order.\nAnswer: 1\/2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 - 8\/(-14)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (87\/6)\/((-2)\/1844). Let r = -23769 - n. Round r to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**2 + 13*i - 9. Let d = -15767 - -15780. Let l(h) = -6*h - 5*h**2 + 3*h**2 + 0 - 3*h**2 + 4. What is d*l(x) + 6*t(x)?\nAnswer: -5*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*q - 12, -5*q - 139*y + 143*y = -26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/59 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 + 1. Let j = n - 3.01. Let c be 2\/(-16) + -1 + 1. Sort 5, c, j in ascending order.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 6*sqrt(56)\/sqrt(8)*-4*-5)*5)**2.\nAnswer: 30000*sqrt(7) + 2520625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87 + -38 - -302) + -95.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69885.\nAnswer: 3, 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umx when three letters picked without replacement from uuumuuuuxm?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -39922 (base 10) in base 5?\nAnswer: -2234142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 606878 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 897, 899, 911, 939, 989, 1067, 1179, 1331?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:54 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k + 2*k)*(4*k + 3*k - 5*k) - 27*k - 8*k**2 - 33*k + 62*k.\nAnswer: -6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3) - (-1)\/3. Suppose -4*s + 323 + 408 = -d, m*d = 3. Suppose 0 = 4*p - p - s. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:47 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2159976 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 27*g + 3552. Give d(73).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41154 by -114.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 7*r**2 - 8*r - 2. Let n be f(8). Suppose -o + 4*o = 5*k + 2, 2*o - k + 1 = 0. Sort o, 0, 4, n in ascending order.\nAnswer: n, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10285 + 10285 - 11*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3957818, -3957821, -3957824?\nAnswer: -3957827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, 16, 74, 172, 316?\n\"Answer: s**3 + 11*s**2 - 16*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62577 (base 8) to base 4.\nAnswer: -12111333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - -1*2*sqrt(119))\/(sqrt(21)\/sqrt(12)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 588 = -24*k + 156*k, 5*i + 142*k - 202 = 139*k for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138008719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -y + 21, 5*y - 6*y = j + 3 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 + 23 = 0. Suppose 5*k = 7*k - 254. Let g = z + k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 183 = 5*t. Suppose -2*l + l = 5*y + 54, 0 = 2*y - 5*l + t. Let n(k) = k**3 + 11*k**2 - k - 2. What is the remainder when 33 is divided by n(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 + 5 = 0. Let c be (-4 - -8) + 1*i. Suppose w = -c*f + 25, w + 4*f - 20 = 3*f. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23440 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 1.1, -15 in increasing order.\nAnswer: -15, -2\/17, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14073 + -8130. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538910, -538891, -538872, -538853, -538834, -538815?\nAnswer: -538796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 34 - 34. Let h(t) be the third derivative of -t**5\/120 + t**3\/6 + 2*t**2. Let c(q) be the first derivative of h(q). Determine y(c(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22698000 rounded to the nearest 100000?\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = -14. What is the units digit of -5 - -6 - (2 + g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -589*u**6\/10 - 885*u**3 + 121*u - 16. Find the second derivative of q(y) wrt y.\nAnswer: -21204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/14 + 4\/14. Let a be 6\/4*(5 - r). What is the highest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(2\/7)*n)*n)\/((n**36*n)\/n))\/(n**(2\/5)\/n*n*(n**30\/n)\/n))**(1\/11) assuming n is positive.\nAnswer: n**(-2264\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4825 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 - (6 - 11)) - 1) + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84253851 to the power of 1\/2, to the nearest integer?\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 3968186*n\/11 - 11904576\/11.\nAnswer: 2*(n - 3)*(n + 1984096)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -464, -1507, -3538, -6887, -11884?\n\"Answer: -55*g**3 + g**2 - 3*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.03, -3\/5, -0.02, 11432?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225581\/98070 - -2\/9807. What is the common denominator of a and 73\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/3 (c) -19 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/10654359 and 62\/7217469.\nAnswer: 223741539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 335 and 190079?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5) - (2 + 84\/(-30)). Solve 3*y + 3*z = -0*z + 18, 5*y + 3*z - 22 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**5\/2 + 8885*n**4\/3 + 2625505*n**3\/3 - 1173150*n**2 - 1746385*n\/6 + 1758245\/3 = 0.\nAnswer: -593, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250 (base 6) in base 3?\nAnswer: -201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**24)\/(((k**(-2\/17)\/k)\/k)\/k))\/(k**(-5)\/(k*k*k*k**(-17))) assuming k is positive.\nAnswer: k**(342\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11034 = m. Let r = 121444\/33 - m. Find the common denominator of 16\/15 and r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, 0, 11 in descending order.\nAnswer: 11, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 66 + -72 - 31?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/24 + w**5\/15 + 4*w**2. Find the third derivative of g(v) wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4904091.\nAnswer: 3, 37, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 - -1.9. Let n = -5 + 10. Put a, n, 2 in decreasing order.\nAnswer: n, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220.000154 + 220. Round i to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 558.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7 to 1 decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118.94 + -118. Let h = g + 0.06. Is h at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 9*k - 13*k + 25, 2*k = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = -3*v - 2*v, -3*l - 2*v - 5 = 0. Suppose 2*k + l + 1 = 0. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 8*q**2 - 7*q + 1. What are the prime factors of p(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/2)\/(1 + 1 + -4). Let x(p) = 41*p. Let c be x(f). Let j(k) = -k**2 - 7*k + 3. Let o be j(-5). Solve c = -5*t - 3*u + 11 + o, 5*t = -5*u + 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/9 + 4871*o\/9 - 6500\/3 = 0. What is o?\nAnswer: -4875, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 259 or 258?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1015 and 699219.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 73, 102, 133, 166, 201, 238?\n\"Answer: y**2 + 24*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15434 or -30865\/2?\nAnswer: -30865\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(-1\/3)))**(-1\/20)*(x*x**(-2\/5)*x*x)**(1\/21))\/(x**(-1\/3)\/(x**2\/x)*x**(-2\/7)*x*x**(-3\/4)) assuming x is positive.\nAnswer: x**(599\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1816 + 1808 + 2*g - 3*g**2 - 39*g. Determine m(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 - 2*n**2 + 1. Suppose -4*u + 3*u + 298 = 5*a, -2*a = -4*u - 106. Let o = 58 - a. Calculate w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*f = -t - 131*f - 3, -6 = 3*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((64\/112)\/(3\/7))\/(32\/(-240)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 16799\nAnswer: -1\/16799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11221*t + 269133 = 75536 - 356232 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 21. Suppose x = 3*q + 8, -3*q - 64 = -r*x + 4*x. Suppose l - m = 157, m = 3*l + 2*m - 459. What is the greatest common divisor of l and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 + -69. Let r = -56 - -71. Calculate the greatest common factor of t and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13129004*p. Let z(g) = g. Calculate a(z(m)).\nAnswer: 13129004*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -912, -933, -974, -1041, -1140?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -2\/7, -50, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899*j**3 + 387*j**3 + 517*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 103. Which is the third smallest value? (a) -0.3 (b) p (c) 1.5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/1 - (12 + -4). Let f be (m - 13) + (-6 - -14). Put f, -4, 52 in ascending order.\nAnswer: -4, f, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143031420 (base 5) to base 8.\nAnswer: 2674756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/12*(-171)\/(-57). Sort 12, -42, -5, j in increasing order.\nAnswer: -42, -5, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*j + 8, -b = -4*j - 20 + 4. Let l = 27 + -16. Calculate the least common multiple of l and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.5 + -126.5. Let j = x + 142. Is -17.8 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2991*w + 599. What are the prime factors of s(-8)?\nAnswer: 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v**2. Let o be -2 - (0 - 0 - (20 + -16)). Let i(a) = 5*a**o + 125*a - 125*a. Determine g(i(l)).\nAnswer: 300*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19428483*b**3*r**3 + 4*b**3*r**2 - 80*b**3 - r**2 + 29*r wrt r.\nAnswer: -116570898*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 a factor of 109321665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 375320 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 1) + (-192 - -180).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -411849\/254 at least -1622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2644268*d**3 + 1 + 174*d**3 - 1.\nAnswer: -2644094*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*q - 0. Let p(d) = 2*d + 18. Let j be p(q). Let v(r) be the first derivative of -2*r**3\/3 + 7*r**2\/2 - 4*r - 3. Calculate v(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 39*i + 153. Let y(r) = 6*r**2 - 79*r + 304. Let k(w) = -5*t(w) + 3*y(w). Factor k(x).\nAnswer: 3*(x - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:55 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2)*16\/(-12) - 2. Suppose -34 - 2 = -d*f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/10*(-25)\/10. Suppose 174*x = 169*x + 2*o + 32, 4*o + 10 = x. Solve x*w - 3*w + s*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (124 - 104 - 99)*((-1 - 3*l + 1)*(-2 + 3 + 1) + 2*l + 1 - 1) as c*l + v and give c.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 8. Let b = -2 - x. What is the first derivative of 15*f - 15*f - 3*f**b - 1 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2382460 and 5003166.\nAnswer: 50031660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 21.25. Let d = b - 0.5. Let q = 0.136 + d. Round q to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/3 - 1) + 5. Suppose -2*i + v + 0 = 0. Solve -5 = i*k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -2 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(931) + sqrt(931)))**2 - (-1*sqrt(931)*-1)**2.\nAnswer: 92169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/110)\/(5\/(-10)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -367 - -367. Let k(d) be the first derivative of 0*d**2 + 5*d + y*d**3 - 3 - 3\/4*d**4. Differentiate k(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48996 is divided by 188.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.6 - 3?\nAnswer: -176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.31 + -7. Let t = 6.29 + w. Let d = t + -6. Sort 0.3, d, -0.1 in descending order.\nAnswer: 0.3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29c - 26a?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 4:39 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**6\/12 - 5*f**4\/12 + 8*f**3\/3 - 19. Let z(h) be the third derivative of l(h). What is the derivative of z(y) wrt y?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 228 = -2*g, 0*u - 3*u = -3*g - 333. Let b be (-8)\/6*g\/(-8). Let d = b - -38. Solve -l + 5*i - d = 3, -5*i + 27 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968560 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {f: 1, p: 13, w: 3}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + (7 - 15) - 19*-50. Let z = -507 + w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 0.4, 0.1, 1\/4, 2, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 10 = 2*q, 3*p - 55 = q - 40 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367391, 367414, 367471, 367580, 367759, 368026, 368399?\nAnswer: 368896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/(-9)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635165 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6470000 to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 871*u**2 + 10*u + 7. What is the hundreds digit of g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -9, -1200\/13 in descending order.\nAnswer: -1\/6, -9, -1200\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -2. Let y = x + 0.5. Let k be (-3 + 4)\/(0 + -1). Which is the closest to k? (a) y (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -531 - 65?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 + 1 = 0. Let l(n) = -n + 2. Let g be l(-4). Let t be -1*0*(-2)\/g. Sort 1, t, m in ascending order.\nAnswer: t, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (1 - (-2 + -4) - 15).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 - -164?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - (5 + -1 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjjp when four letters picked without replacement from {v: 1, u: 3, i: 2, p: 1, j: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2)*-4 - sqrt(11)*1*6)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*-2 - sqrt(49))\/(sqrt(7) - (1*sqrt(7)*-2 + sqrt(7) + sqrt(7) - sqrt(7))).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -71*c + 2. Let a(o) = -o**3 - 9*o**2 - o - 16. Let j be a(-9). Let r be s(j). Let k = r + -2509\/5. Is k equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 4\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f + 9. Calculate g(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 473307101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -116. Is w greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.5. Let b be (18\/15)\/2*5. Suppose 5*q + b*d = -6, 10 = -2*q + 3*q - 5*d. Is q >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2711 - -572268. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4336*n - 2690*n + 3995*n)*(-3 - 1 - 1) in the form s + r*n and give r.\nAnswer: -28205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 0 + 0*z**4 + 2 + (-2*z + 0*z + 0*z)*(-23*z**3 + 622*z**3 - 32*z**3).\nAnswer: -1137*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 0.02, -542, 0.2, 10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (3*sqrt(80))**2).\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z**2 - z**2)*(0 - 2*z + 0) + (-53*z**3 + 25*z**3 - 33*z**3)*(-5 + 8 + 7).\nAnswer: -612*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -16*z - 5. Suppose -12 = 5*w + 8. Is m(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*b - 59 = 3*m, 68*m = -315*m + 3*b - 4*b + 1557 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 1 + 1*-2. Let w be 1 + g\/(3\/3). Suppose w*t + 6 - 15 = -b, 5*t + 27 = 3*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -76*k - 992. Let c = 4 + -1. Suppose -c*l - 2*w + 59 = 0, -3*l + 2*w = 5*w - 60. What is the remainder when y(-14) is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*d + 125*d - 144 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2)*4 + sqrt(304).\nAnswer: -8 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21305297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 + 117. Which is the closest to 1\/4? (a) j (b) -1\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -11)*(-2)\/4. Suppose -4*b = -3*p - 105, -b = -a*b + 4*p + 10. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -470802545 at least -470802544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -394*n - 419*n - 358*n + 3*n**4 + 1220*n - 1 to w*n**4 + c*n + f + d*n**3 + k*n**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 9*d**2 + 9*d + 9. Let i(t) = -4*t**2 - 4*t - 4. Let v = 28 + -32. Determine v*k(l) - 9*i(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*z + 37*z. Suppose 2*g + 4 = -4*k, -9 = -3*g + k - 1. What is the second derivative of 0*t**2 + 8*t + z*t**2 + 11*t**4 + g*t wrt t?\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158028 and 16208?\nAnswer: 632112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 15 = 23*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s - 3. Let i be n(1). Suppose -5*c + 734 = q, i*c - 4*c - 731 = -4*q. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -647, -2573, -5783, -10277?\n\"Answer: -642*y**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 25705*z**2 - 90*z - 17295. Let i(h) = -2337*h**2 + 8*h + 1572. Let v(x) = -45*i(x) - 4*s(x). Find the first derivative of v(c) wrt c.\nAnswer: 4690*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -0.144595?\nAnswer: 11.144595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 - 7*l + 8. Let j be b(6). Suppose -j = -c - 5. Let m(z) = -z**3 - z**2 + 3*z - 2. Calculate the least common multiple of 2 and m(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276412025?\nAnswer: 5, 11056481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*f, 4*j + 0*j + 4*f = -32. Let x be (-4)\/(-10)*(5 + 0). Let l(a) = -3 - a**x + 1 - 4 + 5. Calculate l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -2*d. Factor 0*p**3 - 4*p**d + 5 - p**3 - 5*p**2 + 5*p.\nAnswer: -5*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, q: 1, z: 1, d: 2}. What is prob of sequence mzy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n*n**(8\/3)*n*n)\/n*n))**30 assuming n is positive.\nAnswer: n**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 54. Let y = -21 + r. What is the tens digit of -5*-8*y\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162342935 by 91979.\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1303*j - 179*j**3 - 4 + 1303*j.\nAnswer: -179*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -31.\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -884 + 0.1088\nAnswer: -883.8912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.881 + 0.019. Let j = s + 0.1. Let i be ((-21)\/1029)\/(4 + 116\/(-28)). Which is the nearest to 2\/7? (a) i (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*h**5 - 50*h**4 - 1114*h**3 - 145683*h**2.\nAnswer: -540*h**2 - 1200*h - 6684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95077.27l to millilitres.\nAnswer: 95077270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcl. What is prob of sequence cl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*m + 5, 0 = -18*m + 22*m - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ffeefef?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/6 + 2*i. Let n(c) be the second derivative of c**4\/12 - c. Determine f(n(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8249212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(64\/(-6)) - (903\/(-56) - -18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46336 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -2*j**3\/3 + j. Let g(n) = 3334*n**2 - 6641*n**2 + 3333*n**2. What is a(g(q))?\nAnswer: -104*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(288) - (0 + sqrt(288))) + 1)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cdccc (base 14) in base 15?\nAnswer: 211949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -83. Let q be ((1 + i)\/1)\/((-4)\/(-96)). Let a be (12\/(-10))\/(6\/(-15)). What is the highest common factor of a and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 2\/2. Let a = 180 + -270. Let p = 89.9 + a. What is the nearest to p in 0.27, 5, j?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107697224?\nAnswer: 2, 191, 1379383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g + 5*a, g + 2*a + 3 = -1. Suppose -13*y + 8*y + 75 = g. Suppose h - 88 = -3*h. Solve 3*k + 4*l + h = -1, 5*k + 2*l + y = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -2.3, -5, 0.06, -19, -4, 25?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -98 times -114023\nAnswer: 11174254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 11 - -2 - 9 - 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/40 and 4 - 10\/60*2718\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - 2*sqrt(77)*2) - 1*sqrt(77)*1)\/(-2*sqrt(539)*6 + sqrt(539) - sqrt(539)*-1*-1))**2.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2656266 to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(7\/3 - (-8)\/2). Let h be (-1995)\/s - (-2)\/4. Let i = h + -29. Calculate the remainder when 45 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917185, -1834401, -2751639, -3668905, -4586205, -5503545, -6420931?\nAnswer: -7338369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000267904 rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k. Let r = -52 + 47. Which is the closest to 0.1? (a) -1 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**2 + 1. Let k(x) = x**3 - 6 - 56*x + 58*x + 2 + 4*x**2. Let p be k(-3). Give i(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2437317 <= -2437318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 58105760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-7)*(-2)\/(-4). Which is greater: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*k = -2*i - 3*i, 11*i - 5*k = 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q**2 + 3*q - 3. Let x be f(5). Let v = x + -2299\/8. What is the closest to v in -3\/5, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*-44*3\/(-1320)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + -1 - (1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.9 + 21. Let y = 1.8964 + a. Round y to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.7 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183460 - 4?\nAnswer: 183455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*s*y + b**2*s - 2844671*b**2 + 4842*s*y - 2*s - 2*y with respect to s.\nAnswer: -2*b**2*y + b**2 + 4842*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 760\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/9 - 2*a**4\/9 + 2*a**3\/3 + 10*a**2\/9 + 4*a\/9.\nAnswer: -2*a*(a - 2)*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m + 208*m - 93*m = 96*m + 6555 for m.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g - 81*g - 45*g - 2.\nAnswer: -156*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w - 5 - 227*w**2 - 309*w**2 - 6 - 229*w**2 + 6*w**2 wrt w?\nAnswer: -1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 3264 = 16*k. What is the second derivative of 3 + 555*t - 3 - 800*t + k*t - 202*t**5 wrt t?\nAnswer: -4040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**3 - 15*t**3 - 8*t**3 + 938*t**2 - 951*t**2.\nAnswer: 4*t**3 - 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + 1)) + -2 - 5*(sqrt(5) + 0) - (-6*sqrt(40))\/(-5*sqrt(6)\/sqrt(3))) + -1.\nAnswer: -37*sqrt(5)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cucc when four letters picked without replacement from ccuuuucuucucuuucuuc.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10743276 bigger than -10743230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + (-15)\/(-4). Let g(c) = -1 + 3*c + 1 - w*c. Let y(j) be the second derivative of -j**4\/4 - j. What is y(g(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmafq. What is prob of sequence amfl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2 + 3*x - 4. Let d be o(-2). Calculate the highest common factor of d and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47820 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let w be -1*(1 + 0)\/(5\/(-15)). Determine p so that -1\/7*p**w + h - 2\/7*p + 3\/7*p**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/27)\/(1\/(-3)). Suppose 2*v - 4*i - 148 = 342, h = i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -6.1663?\nAnswer: -1.84989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/3 - 688*n**3 + 261924*n**2 - 43560720*n + 2672526150 = 0?\nAnswer: 201, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4620084, -4620082, -4620080?\nAnswer: -4620078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyuo when four letters picked without replacement from {c: 8, o: 2, y: 4, u: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5509688460 to the nearest one million.\nAnswer: 5510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/3)*k)**(-37)*k\/(k*k**0)*(k**(-1\/24)\/k)\/k assuming k is positive.\nAnswer: k**(-1529\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1600, -1598, -1596, -1594, -1592, -1590?\nAnswer: -1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1010001111011010 (base 2) to base 10\nAnswer: -41946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 106. Let q = -12\/77 - -45\/77. Which is the smallest value? (a) -1 (b) q (c) o (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxnyegzxy. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + a + 5, 2 = 2*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:20 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:32 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811305 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001095903 to 7 dps.\nAnswer: -0.0001096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(3) + sqrt(3) - (sqrt(3) - sqrt(15)\/sqrt(5))*-2)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17932.99999695 - -17933. Round w to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -75\/7?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*d - 9*d. What is the remainder when 26 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/2079)\/(-3*(-2)\/42).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*b = -13 + 43, b - 44276 = 2*n - 44252 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*t + 14, 4*z - 12 = 4*t + 4. Let x be 2 - ((-21)\/(-5) - z). Let d be (4\/(-6))\/((-11)\/3). What is the nearest to 1 in x, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - (-62)\/9*3\/32 and -11\/720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -61.95997 and -2.672?\nAnswer: 59.28797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 3*a - a)*(58*a**2 - 15641*a**3 + 7819*a**3 + 2 + 7824*a**3) to m*a**4 + f*a**2 + w + y*a + c*a**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 8, a: 4, t: 1, x: 4}. Give prob of picking 1 l and 1 t.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-345 - -330 - (1 + -26)) - -82\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/4257 and -68\/28809.\nAnswer: 1238787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -79955 equal to -79954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -5*c - 31. Suppose -4*n = 2 - c. Suppose 0 = -4*a + 5*x + 11 + 44, -a = -n*x - 25. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:02 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 9 - 5)*(-1635 + 2*z + 1635) to the form h + b*z and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzwowllwllozj. Give prob of sequence zlj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7707)\/14*(-8)\/3. Suppose -o = -4*l - 124. Suppose -6*k - l = -8*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397*4.\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + 2 + (-4 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-9792)\/324 - ((-8)\/(-18))\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65847*j**2 + 2727*j + 308442107.\nAnswer: -131694*j + 2727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391c (base 15) in base 12?\nAnswer: 7069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72051758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 s, and 1 y when four letters picked without replacement from yyyyyyfsysuysuf?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 462176636 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, p: 5, v: 3, d: 2, t: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/90195 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express -57*c - 12 + 51*c + 18 + (-1 - 2 + 2)*(-c + 0*c - c) + 5*c - 3*c + 0*c as q*c + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*q + 3. Suppose q = -c + 19. Calculate the remainder when 59 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-21) + -4 + (-45)\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 4. Suppose -4*f - 3 = -4*z - 11, 2*f = -q*z - 14. Let r = -845 - -11831\/14. Does f = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 1 - 5. Let y be 3 + i\/(-3 + 1 + 1). Differentiate 13 - 12*g + y*g - 31*g**2 + 12*g with respect to g.\nAnswer: -62*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 23*w**2 - 7*w + 447. What is b(21)?\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 98?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f**2 + 2*f + 2. Let m(a) = -6*a**2 - a - 1. Give 3*d(z) + 5*m(z).\nAnswer: 6*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 12*c - 14 = 2*y, -3*y + 2*c = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1615966 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(75)*3 - sqrt(75)) + 3) - (-2*(-2 + sqrt(75)) + sqrt(75))*-4)**2.\nAnswer: 2720*sqrt(3) + 5956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 6. Let a(m) = 2*m - 3. Let j(c) = -5*a(c) + 3*d(c). Let l(n) = -36*n - 26. Let q = 40 - -12. Calculate q*j(g) - 6*l(g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 199?\nAnswer: 42\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 3539*n**4\/6 - n**3\/3 - n**2\/2 - 2*n. Let v be p(-1). Let y = 42329\/6 - v. Find the common denominator of 29\/14 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 507?\nAnswer: 121680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -42*h**2 + 16*h - 1. What is g(3)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.34 and -67.8.\nAnswer: -158.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20485 or 20488?\nAnswer: 20485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3731*l**2 - 3*l + 25. What is a(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 11:11 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1541.3853 microseconds?\nAnswer: 0.000025689755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*b + 6, -p - 5*b + 1 = -1. Let o be p\/12 + (-13)\/78. Suppose o = -2*g - 4 + 70. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -1.1. Which is the closest to -7\/2? (a) -0.4 (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 4*b**3\/3 + 2*b. Let o(f) be the first derivative of 0*f + 1\/2*f**2 - 3. What is x(o(n))?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276479 is divided by 21177.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 466243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let r be h(-7). What is the common denominator of -5 - (-94)\/18 - (-1608)\/(-189) and (0 - 1\/r)*-10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1265 (base 9) to base 10\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 177*n**4 - 61*n**4 + 26460*n**2 - 113*n**4 - 552*n**3 - 97200*n = 0?\nAnswer: 0, 4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = 3*m + q, 0 = 3*m + 2*q - 2. Let a(k) be the second derivative of -1\/36*k**4 - 1\/6*k**2 - 2*k + m - 1\/9*k**3. Find s, given that a(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**3 + 4240*g**2 + 79012*g - 10919248 = 0.\nAnswer: -59, 43, 1076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let l(d) = 35566361*d**2. Give l(j(c)).\nAnswer: 142265444*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 6 - 782. List the prime factors of x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6571 is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:31 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1326, 5308, 11946, 21240, 33190?\nAnswer: 47796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 3. Suppose 0 = 3*h - 18. Let j be f(h). Let d(m) = -1. Let o(w) = w. Let b(v) = j*o(v) - d(v). What is the first derivative of b(p) wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/13147962 and 81\/574.\nAnswer: 92035734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10))**(-21\/5)\/((c\/(c\/(c\/(c**(2\/11)\/c))))\/(c\/(c\/(c**(-4\/3)*c*c*c*c)))) assuming c is positive.\nAnswer: c**(1414\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188482174 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 3*66\/9 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/8 and -40\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 10 = 3*c. What is the third derivative of 2*b**4 + 2*b**4 + 2*b**c + b**2 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110111 + -101?\nAnswer: -10010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 17 = 2*w - 3, 0 = 3*w - 3*x - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 2. Let b(y) = 5*y**2 + 11. Let s(g) = -4*b(g) - 22*l(g). Let f be (14\/8)\/((-1)\/(-16)). Let v(t) = f + 3*t**2 - 28. Calculate v(s(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 121 = 99. Suppose 3*d - n = 74, a = 3*d - 2*d - 3*n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2335107 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02467845 rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - -2*sqrt(168)*-1)\/((sqrt(12) + sqrt(108) + sqrt(12))*-1))\/((sqrt(288)\/sqrt(48) + sqrt(24))\/((-1*sqrt(108))\/sqrt(9))).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n + 375. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86477441*f - 193361921?\nAnswer: -86477441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + p**2 - 2*p**2 + (-14*p + 8*p - 8*p)*(-12 - 2 + 4*p + 10 + (5 + 1 - 4)*(1 - 1 + p)) in the form i + v*p**2 + a*p and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5 - 89*j**4 + 975*j**3 - 1535*j**2 - 4894*j + 5544 = 0. Calculate j.\nAnswer: -99, -2, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 19. Which is the third biggest value? (a) 4 (b) 2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(12\/4 + -2). Suppose -d + 6*a = x*a + 15, -2*a + 10 = 0. Suppose -3*v + 149 = 3*q + 41, -5*v - 10 = d. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x + 3*t - 7, -16 = 4*x - 5*t. What is the lowest common multiple of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/4 (b) -12\/7 (c) -0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5881 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91\/1765 + -3982786\/15885. Let l = 251 + g. Let z = -4 + 7\/2. What is the closest to z in 1\/4, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:58 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -421.57726 to one decimal place.\nAnswer: -421.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -306*k**2 - 4 + 758*k**2 + 10*k - 54 - 15 - 53. Let j(a) = 226*a**2 + 4*a - 62. Let f(r) = -5*j(r) + 2*u(r). What is the derivative of f(w) wrt w?\nAnswer: -452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 21*d**2 - 4*d + 207. Let r(l) = -89*l**2 + 15*l - 881. Let g(i) = -17*n(i) - 4*r(i). Let o(m) = m**2 - 3*m - 2. Let q be o(5). What is g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.65081 - -0.34087. Let t = y - -0.31. What is t rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -16. Suppose -3*h - 37 = -5*d, -3*h - w*d = 2*d - 13. Which is the nearest to -1? (a) h (b) -1\/3 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 8. What is the third smallest value in 4\/9, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.37 and -0.1?\nAnswer: 1.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210233032 - 1221?\nAnswer: 2210231211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -573\/11. Let g = 240.3 - 240. Sort f, g, 4, 0.4 in ascending order.\nAnswer: f, g, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202814*i**2 + i**4 + 39*i**3 + i**4 - 202822*i**2)*(-3 - 1 + 3).\nAnswer: -2*i**4 - 39*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -176. Suppose -u + c + 62 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - s = 2*z - 114, 0 = 3*s. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -598*u**3 + 52*u**2 - 52*u + 52. Let x be (2\/(-4) - -1)\/(-8 - (-10829)\/1352). Let p(w) = 57*w**3 - 5*w**2 + 5*w - 5. Give x*p(y) + 5*i(y).\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008456 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.26 + -4.26. Let t = -2.9 - p. Which is the second biggest value? (a) 0.2 (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 68 = 2*t, -4*j - 73 - 55 = -2*t. Suppose 0 = 644*i - 651*i + 14. Let n be (i\/5)\/((-6)\/j). Solve b - 5*g = -n*b - 2, 6 = -3*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783634513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, -0.2, -2\/5 in decreasing order.\nAnswer: -0.2, -2\/5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2307, 2440, 2589, 2754?\n\"Answer: 8*u**2 + 109*u + 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9412.73 kilometers in millimeters?\nAnswer: 9412730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -231, -276, -321, -366?\n\"Answer: -45*r - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*p + 6, 5*v - 2*p - 37 = -4. Suppose -2*d + 12 = 2*g, -v*g + 5*d + 0 = -20. Suppose -2*i - 18 = -g*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120020 at most 120019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/13 + 6888*m**3\/13 - 393318*m**2\/13 + 1835848*m\/13 - 2153496\/13 = 0. What is m?\nAnswer: 2, 3, 53, 3386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5826.7929954 - 0.0610046. Let x = f - -5835. Let y = -0.154 - x. Round y to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198 is divided by 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 5. Let z be p(3). Let w = 913 - 462. Suppose -3*f + 8*f - h = 1110, 0 = -z*f - h + w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262*0.1.\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - ((-37872)\/30)\/4. Suppose 5*b + p = 2*z, 2*z + 10*b = 5*b + 336. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaaxxfxaaaaaxx. Give prob of picking 2 f.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5917 + 11540. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174990570 rounded to the nearest 1000000?\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 - 436*i\/13 - 23762\/13.\nAnswer: -2*(i + 109)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-378)*-3)\/((-462)\/(-189))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 0.4. Let h = x - -0.16. Let q = -0.49 - h. What is q rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 378759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28836007*h**4 + 9*h - 219349.\nAnswer: -346032084*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*u - 366*u + 295*u)*(u - u + 2*u**3).\nAnswer: -600*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9531*v + 38122. Determine k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*q = 12, 2*j - 3*q + 4 = 6*j. Solve -j*b - 4 = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07498 and 20085?\nAnswer: 1505.9733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 37 = -4*c, 5*n = c + 8. Solve 5 = -3*h + 5*u, n*h - 3 = -u + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 17 = 2*m. Let z be (-4)\/m - (-456)\/(-21). Let a = z + 20. Which is smaller: -10\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 143, 145?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 + (2 - 1))*(-11)\/44. Factor u + 1\/4*k**2 - 7\/4*k.\nAnswer: (k - 6)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 - 3*v + 763 - 448.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpkg when four letters picked without replacement from {g: 1, p: 1, h: 10, k: 2, q: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 156 = -5*k, 3*b + 120 = -4*k + b. Let i be k\/(-6) - 4\/12. Let q be ((-32)\/18 - (-34)\/(-153))\/(-1). Solve 0*z = 2*z + q*o - 8, -z = i*o - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 2*x - 19*x**2 + 0*x**3 - 2*x in the form k*x**3 + z + f*x + m*x**2 and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t + 121*t = -120*t - 2587 - 624 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 3, -5, 2\/5, -9\/2, 107\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 6*j - 4. Let w be f(-4). Solve -5*r + v + 15 = -w*v, -4*v = -5*r + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/1260 + h**6\/270 + h**5\/180 - h**3 + h. Let s(y) be the second derivative of n(y). Factor s(r).\nAnswer: 2*r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 30 = 4*z + 15*l, 0 = 2*l + 12. What is the closest to 0 in 2, -0.1, -5.6, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**4\/6 + 719*r**3\/6 + 1612*r**2\/3 - 490*r\/3.\nAnswer: r*(r + 5)*(r + 98)*(7*r - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13103 - -3103. What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = 21. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*u - 104, -4*r - u + 2*u - 196 = 0. Let o = 257 + r. Calculate the greatest common factor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172214 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**(2\/7)*l))**(-48)*l**(-6)*l**(-3)\/l*(l**(1\/3))**(1\/31)*(l**0)**(1\/3) assuming l is positive.\nAnswer: l**(96169\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1197 and 24624.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j + 19*j**4 - 2*j**4 + 2*j - 4*j**4 wrt j?\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 30 = 18*v - 21*v, 0 = -2*b + 5*v + 23. What is the common denominator of (b\/(-786))\/(48\/(-784)) and -37\/3?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 83*p**6\/15 + 137*p**3\/6 - 8*p + 8. What is the second derivative of d(r) wrt r?\nAnswer: 1992*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 15*f + 16. Let i be c(13). Let d = 13 + i. Let g(n) = 73*n + 4. Is g(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/5 - 822*m**2\/5 - 25276*m + 25440 = 0. What is m?\nAnswer: -120, 1, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*a - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - a - 23, 3*i = -2*i - 5*a - 65. Let x be 1 + -2 - (-12)\/(-4). Sort x, i, 5 in descending order.\nAnswer: 5, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 919, -3, -1\/2, 0.5 in increasing order.\nAnswer: -3, -1\/2, -0.2, 0.5, 919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 2180 = -438. Let z = -150 + l. Solve 0 = -x - z + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2\/(-7))*(-21 + 1078\/44). Solve l - n = -2*i, 109*i - 113*i + 17 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4861 or 4864?\nAnswer: 4861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3702839 - -2354457. Let f = -688367 - u. Suppose 4*g + 594446 - 1914421 = -5*r, 0 = -2*g + 3*r + f. Round g to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 4*t = 0, -4*o = -2*t - 6. Let u = 157.2 + -139. Let v = u - 18. Which is the biggest value? (a) -0.3 (b) 2 (c) v (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -76\/207, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-196)\/36)\/7. Let f = 92\/3 + -31. What is the third biggest value in -0.2, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1540244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = 15*v - 133155. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 16 = -156. Let x = i - 34. Let h be x*5\/(4 - 59). Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:02 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7004 = -2796. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -895.31474 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -229 divided by 125\nAnswer: -229\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 25*d**2 - 3*d + 52. Give r(25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*t + 14, 60*t - 8 = 2*r + 61*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*p = -0*z, -3*z = 2*p. Solve z = -2*t - 4*a + 6 - 0, -2*t - a + 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + -1 - (144 - 142)) + (11 - 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -198.6\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 119477641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/59*436\/1308.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((180\/1530)\/((-396)\/(-153)))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(4\/9)*o)\/o)\/o)\/o*o**(-7\/2))\/(o\/(o*o**10))**(6\/19) assuming o is positive.\nAnswer: o**(-649\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 (base 7) in base 15?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/(-24))\/((-3)\/((-288)\/(-42)))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-2)\/6*-3). Suppose 12 = 4*x - o. Suppose 3*g + 105 = x*i, -2*i = 4*g + g - 49. Calculate the greatest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1301?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 26*t + 76. Let w be i(-8). Let m(a) = -3*a**3 - 2*a. Let s(f) = -65*f**3 - 45*f. Give w*s(l) + 90*m(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155.5961 - 0.0039. Let a = z - -170. Let x = a - 13. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + (sqrt(891)*-1 + -5 + 4)*1 + 5)*-3)**2.\nAnswer: -1404*sqrt(11) + 8695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 39*j**2 + 2*j + 78. Let u be t(-39). Let b = -9 + 13. Solve -3*g = -0*i - b*i + 3, u = -4*g - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -637856 divided by -4\nAnswer: 159464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from mmrxrxqeqqmxqreqqqre.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = 11*a - 9*a + 61, -a - 2*m = -5*m - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l + 6. Let r(h) = 215*h - 47518. Let g be r(221). Sort -5.5, 5, l, g in increasing order.\nAnswer: -5.5, l, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-9))\/4*(-30)\/(-8)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 988195.7 kilometers?\nAnswer: 988195700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.232 and 8?\nAnswer: -1.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4722 + 891. What is the remainder when q is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 3*z + 29, 728*z - 724*z + 46 = 15*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202133011331 (base 4) to base 8.\nAnswer: -42370575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.59 - 244126805.\nAnswer: -244126822.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139512 + 238915 = -9606*h - 141324 + 39451 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 >= 63841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7113\/76 - 1776\/19. Calculate the common denominator of -3*366\/648 - (9 + (-140)\/16) and d.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 6*d**2 - 4*d - 28. Calculate k(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338475072 to the power of 1\/2, to the nearest integer?\nAnswer: 48358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 85 = b. Let c = b - -176. Calculate the remainder when 155 is divided by c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4136 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134.36 - -0.64. Let v = 280.604 + -145.77. Let a = n - v. What is a rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*u = 12, -u + 4*u = -k - 3. Let y be 8\/(-12) + (-56)\/k. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-16)*(-200)\/(-3). Calculate the highest common divisor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3076259 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {n: 1, g: 1, h: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*n - 30 = 0, 5*i + 0*n = -4*n - 87. Let m be (i + -3)*(-5)\/15. Solve -4*h + m = 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 33*h - 544. Solve 0 = -w - h*w + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219165 is divided by 13602.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -0.07\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 477?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/2))\/(v\/(v\/(v*v\/(v*v*(v**(2\/43)*v)\/v)))))**12*(v*v**2*v)**22\/((v*v\/(v**(-5)*v)*v*v)\/v**3) assuming v is positive.\nAnswer: v**(4367\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**3 + 25*y**2 - 25*y**2 - 38*y**3.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-8) + 3\/12. Let x be i*1*(-10)\/(-8). Solve 0 = h - 2*h + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**(-2\/3))\/h))**(-48)\/((h**(-2\/3)\/h)\/h**(-1)) assuming h is positive.\nAnswer: h**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 416, 317, 178, -1?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011101 + -10111?\nAnswer: -110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.049544677014 and -0.622.\nAnswer: -0.572455322986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6546 divided by 1.\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252477*j**3 - 12852271*j**2?\nAnswer: -1514862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16428\/17 + 967. Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640045883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*j - 22 = 0, 0 = 5*l + 2*j - 7039 + 7012 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-256)\/(-832))\/((12\/90)\/((-1)\/10))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.3. Let o = 0 + j. Let t be 3 + 46\/(-12) - (-2)\/6. What is the closest to 2\/3 in 3\/7, t, o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 66?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4035 = -3*b, 2025 = 2*d - 1924*b + 1927*b. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d0 + -10?\nAnswer: 3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9041 + -1091.49.\nAnswer: -10132.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34498798.\nAnswer: 2, 17249399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*o - 10, o - 11 = -5*l + 3. Suppose -l*v = -4 - 173. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5573.0128 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -397*n - 3362. Is 21 a factor of m(-71)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10591, -21219, -31847?\nAnswer: -42475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20128.3 + -3398.8. Round t to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9424331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 19*u**2 + 68*u - 262. What is the remainder when g(4) is divided by 112?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b - 24 = -88*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 313? (a) -13 (b) -8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 11 = 13*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 7:43 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, 2, -5, 132, 364 in descending order.\nAnswer: 364, 132, 2, -5, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 383352127 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, 4, -2, -339?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + 0*t**3 + 2*t**3 - 12*t**2 - 4*t**3 + 12*t**2 + (-t - 3 + 3)*(t - t + 2*t**2) - 66*t**3 + 497*t**3 - 16*t**3.\nAnswer: 408*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 121.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*y = -5*y + 1595, 0 = -y - 5. Let m = 406 + c. Suppose -4*d + 12 = -v - 16, 0 = v. What is the highest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1346*l**2 + 311*l**2 - 938*l**5 + 618*l**5 - 745*l**5 wrt l?\nAnswer: -63900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1628724*f**3 - 396955*f**3 + 581467*f**3 - 1168933*f**3.\nAnswer: -2613145*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 53. Let r = -41 + 41. Let x be t(r). Let y = x - -177. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 12. Let t(o) be the second derivative of o**4\/2 + 3*o**3\/2 + 4*o**2 - 548*o. What is the units digit of t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 57 = 179. Suppose -x*o = -60*o - 35. What is the second derivative of 15*r**5 - 4*r**5 + 3*r**5 + o*r - r**5 wrt r?\nAnswer: 260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989825290?\nAnswer: 2, 3, 5, 103, 107509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1) + 18 + -1 + -9 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 5*x - 2. Let r be a(1). Suppose 12 = -3*v + 33. Let u = v + -4. Which is bigger: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + t - 298. Let l be h(-16). What is the greatest common divisor of 66 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*a - 9742, 24401 = 5*b - 12*a + 16*a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 6789?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a**2. Let h(m) = -327*m**2 + 2*m + 5. Calculate h(z(i)).\nAnswer: -94503*i**4 + 34*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 497\/10 in 4, 2, 9, 0.05, 0.08?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose -5*o - 2 + 7 = -5*t, -5*o = 4*t + m. Solve o*q = 5*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21202220101 (base 3) to base 16.\nAnswer: 255bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48375 - -2?\nAnswer: 48377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-1))\/(-2) - (-11 - -8). Let k be -5*f\/10*-2. Solve 4*p - k = 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4\/4 - 7950*t**3 - 127371*t**2\/4 + 326100*t - 286308 = 0.\nAnswer: -9, 1, 4, 10604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - c - 10, -38*c + 40*c + 3*c + 17 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*(-5)\/10)\/((-2)\/58392). Suppose -b = 16*w - 110710. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/3))\/q*q*q*q**(-2\/3))\/(q**(-4)*q*q**(6\/5)) assuming q is positive.\nAnswer: q**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.32 in 2, 98, -3, -0.3, -4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -322 - 261*y - 242*y + 103 + 106 + 2*y**2 + 111 in the form j*y + h*y**2 + o and give j.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1033 + 1175. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -879 - -878.9. Let j = 0.5 - 0.9. Let o = j - -0.5. What is the third smallest value in -10, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 88 = 18. Solve 10*d - 5*d = g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, 428, 1403, 2794, 4595, 6800?\nAnswer: 9403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -3156?\nAnswer: -946.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5780*n + 5781*n + 14 = -2*m, 7*m + 56 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*q + 173*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(-1\/8))**(-49) assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*a - 1. Suppose -h - 16 = -5*p - 0*h, 0 = -3*p - 4*h + 5. Let t be 140\/12 - a\/p. Solve 0 = -2*r + 5*j - t, -r - 3 = -j - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/3 + -4 + 5. Suppose y*w = 6*w. Find the third derivative of -36*z**2 + 8*z**6 + w*z**6 + 22*z**2 wrt z.\nAnswer: 960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -23, -2, 1687\/4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 + 1. Let u be q(1). Suppose -2 = u*l - 5*f - 22, 2*f = 2. Let -l*n**2 - 394 - 4*n + 5*n**4 + 394 - n + 5*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -27. Let m = 5389 + -5389. What is the closest to m in w, -8, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545 + -32413?\nAnswer: -31424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 902260 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6 + 2 - 1 - 5 + 2*k. Let t be z(7). Suppose -t*j + j = -48. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-4\/15)*s*s)\/(s**8*s*s))\/((s**(-4\/7)\/s*s)\/s*s\/(s**(-1\/5)\/s)))**(-17\/3) assuming s is positive.\nAnswer: s**(14093\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3 + b - 3 + 9 - 6 - 3*b. What is n(-13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Suppose -4*j - y*m + 24 = -69, -8 = j - 5*m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 40\/(-6)) + (-1 - (-111)\/9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/(2\/(-4)). Let m be ((2 - c) + 2)*2. Suppose 0 = m*z - 4*z - 122. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1500) + sqrt(1500)*1))\/(sqrt(108) - 3*sqrt(108)*2))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 15. Suppose -3*i - 2*f = 40, -i - f = -2*f + 5. Let p be q(i). Suppose -h = -3*g + 3, -g = -0*g + p*h - 17. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 4 - 3*v + 4*v. Let k(j) = -j + 3. Calculate 5*k(x) - 4*t(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqaqeyaqaghaqyqh. What is prob of sequence qa?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 20*m - 3330 - 3757. What is the remainder when m is divided by 75?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d**22 assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - x**3 - 244*x**4 + 5*x**3 + 246*x**4 + 3 as l*x + v + q*x**2 + a*x**4 + p*x**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose 5*s + 3*x - 21 = 9, 2*s = -a*x + 21. What is the units digit of s\/(-9)*(-42 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.9 - -14. Let y = 9.1 - l. Which is the nearest to -2\/7? (a) 3 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 - 1621 = -215*z + 247 + 418 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 251893, 2015074, 6800849, 16120516, 31485373, 54406718, 86395849?\n\"Answer: 251883*g**3 - g**2 + 3*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2987384*q**4 + 3220656*q**2.\nAnswer: 71697216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*p**2 + 107*p**2 - 124*p + 144*p**2 + 220*p + 211*p.\nAnswer: 100*p**2 + 307*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1407661 microseconds in hours?\nAnswer: 0.00000000059465725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 3. Let k be 6\/2 - 4\/(-2). Let i be a(k). Let x be ((-45)\/20)\/((-2)\/8). Calculate the greatest common divisor of x and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by 267.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853831.\nAnswer: 11, 77621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/31 or -1131?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-40))**(-47) assuming n is positive.\nAnswer: n**3760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(3 + (-40)\/14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 9)\/(1\/(-2)). Suppose 15*o = 11*o - y. Sort o, -4, -2 in descending order.\nAnswer: -2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53746474.405099 + 53746514. Let g = c + -41.3949. Let u = 1.8 + g. Round u to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10\/13)\/u*u**(6\/13)\/u*u assuming u is positive.\nAnswer: u**(-17\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**4 + 32*h**4 - 10*h**4)*(-5*h - 2*h - 4*h) + h**2 - 2*h**5 - h**2.\nAnswer: -321*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0403 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028109 to the power of 1\/2, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*p = 2*p + 9140, 3*q + 5*p = 27425. Round q to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - f - 192812 = 0, -4*m + 3*f = -f - 257080. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -157 - -1063?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1591, -4.\nAnswer: -1591, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 + 5088*r + 25390 = 0.\nAnswer: -2539, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -17.858244.\nAnswer: -0.71432976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43611897518 and 736.\nAnswer: -43611896782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/((-1480)\/32))\/((-5)\/(1275\/6)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-15))\/((-5)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 28132 = 16*g. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -3\/7, 65129?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1 - k**3 + 0*k**3 - 3*k - 3*k**2 + 6*k**2.\nAnswer: -(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -363 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3022\nAnswer: -1\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 6) in base 8?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 1400*a**2 - 5598*a + 20876. Determine b(696).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105783*q**4 + 410328 wrt q?\nAnswer: -423132*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(27\/6 + -1). Let j = -1\/18 - -5\/9. Which is the closest to j? (a) -4 (b) 1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(4\/7)\/g*g)\/g*g)\/(g**(-1\/13)*g)*((g*g**(-12))\/g)\/g**(2\/9) assuming g is positive.\nAnswer: g**(-9479\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 3*m**2\/2 + m + 3. Let r be x(0). Suppose 11*b = 21 + r. What is the highest common divisor of 18 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -193*c**4\/6 - 455*c**2\/2 + 2*c - 11. Find the first derivative of w(k) wrt k.\nAnswer: -772*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ccceeececcce?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.47 + 3.5. Which is bigger: s or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f - 20*f - 14*f + 6 + 11*f + 33*f + 34*f.\nAnswer: 76*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 12 = 2*q, 0 = -14*q - 4*w - 191973 + 192013 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*t = -2, 35 = -17*r + 22*r + 5*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0345072697 to 6 dps.\nAnswer: -0.034507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a factor of 990902171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -150520 (base 9) to base 12\nAnswer: -45499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 46\/7, 5, 0.05, 2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6531 by 4.\nAnswer: 6531\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 26*m**3 + 4*m**3)*(-1 + 0 + 2)*(9 - 2 - 2)*(-1 + 6 - 2).\nAnswer: -315*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2057*c**3 + 4*c**2 - 8. Let b(k) = -2059*k**3 + 5*k**2 - 10. What is -4*b(j) + 5*i(j)?\nAnswer: -2049*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*36\/(-40)*(-54950)\/(-21). What is v rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53038, -53037, -53036, -53035, -53034, -53033?\nAnswer: -53032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c**2 + 4*c + 1. Let l be a(-1). Suppose -4*z = -l*z + 30. Solve 0 = -p + z*n - 8, 5*n - 19 = p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(1300)*2)**2)*2 + ((2 + sqrt(117)\/(sqrt(27)\/sqrt(3) + sqrt(9)))*-5)**2*-3.\nAnswer: -150*sqrt(13) + 164217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j = 36 + 773 + 1 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 923 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9986 + -2.6489. Round r to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -1, -57, 1 in descending order.\nAnswer: 77, 1, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.6685m to micrometers.\nAnswer: 395668500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-535)\/136 + -2. Let g = -1\/17 - z. What is the common denominator of -20\/11 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 32) + (-70 - -109).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 137263027?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**4 + w**2 - 1 + 4*w**3 - 4*w**3 - w + w**3 - 2*w**3 as q*w + o*w**4 + l + p*w**2 + n*w**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -512254 (base 11) to base 15\nAnswer: -113c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -53*x**9\/168 + x**8\/168 - 8*x**7\/105 + x**5\/4 + 12*x**3 - 480*x**2 - 5*x - 1. Find the third derivative of d(y) wrt y.\nAnswer: -19080*y**3 + 120*y**2 - 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1512 and 751581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 53*b + 33. Let m be d(-26). Let t = m - -63. Calculate the highest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-1)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264475686 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 170\/(-15)*(-165)\/(-10). Let r = -70 - 48. Let t = r - c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (464\/580)\/(-38*1\/(-10)*-2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 4*b**2 - 10*b - 3. Calculate y(-7).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let r be u(1). Solve n = -r*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + sqrt(19)) - sqrt(171)\/(sqrt(9)*1))*2.\nAnswer: -32 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**2 - 5*a - 3. Suppose 2*u = -3*f + 25 - 4, 2*u = 4*f. Let c(d) = 8*d**2 + 6*d + 4. Determine u*w(y) + 5*c(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 480 = -15*m. Suppose h + 8 = -2*o - h, -5*o - 4*h - 20 = 0. Calculate the least common multiple of o\/6 + (-68)\/(-3) and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/12147668 and 27\/10.\nAnswer: 60738340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**1)**(3\/14))**(-35))**(-5\/9))**(-36) assuming a is positive.\nAnswer: a**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -160*r + 3. Let l be a(-3). Suppose -5*i + l + 632 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.472 * -16.74\nAnswer: -125.08128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 894 + -437. List the prime factors of c.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 44*p - 831. Determine f(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 + 0 + 1 - 3*j - 1 + 4*j**3. Let c(a) = 3*a**3 - 2*a**2 - 2*a. Suppose 0 = -0*x - 2*x. Let d be (x - -1)*2\/1. Calculate d*t(v) - 3*c(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = -9*o. Suppose -5*j = -o*j + 22. Let x be 0 + 1 - (13 + j). Solve -2*z = 3*z - x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjkkrkkrv. Give prob of sequence rkjv.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -206*v**6\/15 - 3*v**4\/4 + v**3\/6 + v - 22. Find the third derivative of r(m) wrt m.\nAnswer: -9888*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2233*o = 6974*o - 718146 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01806021 and -16?\nAnswer: -0.28896336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihxi when four letters picked without replacement from iixiixxiihiiji.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10562661 a multiple of 1581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -6, -53164 in decreasing order.\nAnswer: 0, -4, -6, -53164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b5140 - -36?\nAnswer: b5176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.368 less than 527905.2883?\nAnswer: 527872.9203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (3 + -2))*1 + 5. Solve 0 = -2*b + r + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.062, 435.916?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -85*q**2. Let m(l) = -1527*l. Determine c(m(g)).\nAnswer: -198196965*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)\/n**9*n**(1\/51)*n\/(n\/(((n*n\/(n\/(n**(-1\/19)\/n)))\/n)\/n)) assuming n is positive.\nAnswer: n**(-32009\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1403370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2 + -1 + 1). Sort -3, c, 2.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -25798*s**2 - 232253*s - 643. Calculate p(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -20\/3. Let a be -1 - 1\/(11\/(-13)). Let f = 66 - 66.2. What is the third smallest value in a, f, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -185, -593, -1397, -2735, -4745?\n\"Answer: -23*o**3 + 9*o**2 - 16*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1312)\/12*3\/(-2). Suppose 4*f - 129 = 2*p + 527, 2*p = -f + u. Let n = f - 115. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106938, -106940, -106942?\n\"Answer: -2*r - 106936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2209205 by 2209205.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 less than or equal to 1217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9438815 divided by 1887763\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 - 3*x + 5. Let g be t(-5). Suppose -8 = 2*r - g. Let p = r + -390\/7. Which is the biggest value? (a) p (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) + sqrt(26) - sqrt(26))*4)\/(sqrt(2) + (2*sqrt(4))\/sqrt(2)) + 3.\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*x - 10 = 0, 5*m = -x + 3*x + 16. Suppose -5*o + 34 = m. Suppose 3*a - 20 = -2*p, -2*a = -38*p + 42*p. Solve a = d - o*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-21) - (-143778)\/(-15624)) + 1\/(-12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -8*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4*b - 2. Let u = -20 + 22. Suppose u*w = -3*o - 10, 0*o + 5 = -w + o. Let c(l) = l**2 + 5*l + 2. Give w*c(v) - 6*t(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l + 4. Suppose -2*p + 0*p + 3*g = 18, -4*g + 2 = p. Let x(n) = 7*n - 5. Determine p*k(z) - 5*x(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 89\/623*42*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62062 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99 + 6c?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4742298 and 5302?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*d + 6*m, 3*d = 4*m + 1. Let t be 5\/(-4)*12\/d. Suppose 7*z + 4*k = 2*z + t, -4*k + 1 = 3*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/224)\/(15\/(-70)*(-70)\/(-360)*-3).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(153))\/sqrt(9)*5)**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584238619 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -20. Which is the closest to 0? (a) -0.2 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0 - 173*n - 180*n - 17 + 352*n. Give y(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 3*r - 5. Let h be m(4). Let b be (-6 + -6)*h\/3. Suppose 2*x + 20 = 7*x, -b*y - 4*x = -832. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/42)\/((-3)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qoqqo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r - 2\/15*r**4 + 0 - 2\/5*r**3 + 72\/5*r**2.\nAnswer: -2*r**2*(r - 9)*(r + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 1:56 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258194933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408762.\nAnswer: 2, 3, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1040.5851 + 1.363.\nAnswer: -1039.2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*x + 2*a, 0*x = -3*x + 5*a + 101. Let q = -141 + 123. Let o = x + q. What is the highest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3820 is divided by 1319.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.4. Let h = -5 - -4.375. Let j = h + o. Round j to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - -69*15\/315?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + i = -36601 + 5730, -2*l + 3*i + 20590 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/2, -3\/188, -1\/6, -5\/2 in ascending order.\nAnswer: -5\/2, -2, -1\/6, -3\/188, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 812*v + 406. Let x(y) = -3*y - 1. Calculate -s(z) - 406*x(z).\nAnswer: 406*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -825 >= -824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 460\/6111?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-5)\/((-20)\/18))\/(-1 + (-117)\/(-108)) and 66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 11*a - 1\/3*a**3 - 10 - 8*a**2. What are the prime factors of l(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 49. Give t(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 65*k - 3. Let x be a(-5). Let l = 9 - x. Is l a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 82*k - 80*k - 5218, m = -3*k + 7860. What is the highest common divisor of 238 and k?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1593665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 781913938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -120921, -241852, -362799, -483762?\n\"Answer: -8*q**2 - 120907*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28888 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1199779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 + 6*x**2 - 2*x + 3. Let c(f) = 4*f**3 - 6*f**2 + 2*f - 3. Let h(u) = 4*c(u) + 3*t(u). What is the units digit of h(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at least 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 + 5*c**2 + 11*c\/2.\nAnswer: -c*(c - 11)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 157000*k**2*p + 122265043*k**2 + 191*k*p wrt p.\nAnswer: 157000*k**2 + 191*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 765807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175726670 to the nearest integer?\nAnswer: 13256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:11 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*k - 9*m + 4*m, -2*m + 4 = 0. What is the smallest common multiple of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/258894 and 85\/4542.\nAnswer: 258894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 41496?\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + (-76)\/(-20))*(-380)\/(-6). Let r = d - -81. Solve -r*z + 0*z + 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 > -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17291 - 17289. Solve -156*f - 30 = 5*y - 154*f, j*y + 33 = -5*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16*x - 34. Let b be a(-2). Let i be (b + 3)*(3 + -5 + 5). Solve i = h - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxypymi. What is prob of picking 2 p, 1 m, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 603364 by 2.\nAnswer: 301682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2535\/60 - (-1)\/(-4). What is the remainder when -1*6\/(-4)*2380\/s is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152559275.\nAnswer: 5, 86102371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7744 = -d - 2657, -4*u = 5*d - 6801. Calculate the remainder when u is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4 + 44048*u**3 + 223675*u**2 wrt u?\nAnswer: -24*u + 264288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 4*x - 5. Let j be d(-4). Let u be 22\/121 + j\/(-11). Calculate the highest common factor of 15 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 36 = 2*f. Let u be (-8)\/f - -2*(-4)\/(-3). Let v(k) = 18*k**3 - 5*k**2 + 2*k**3 - 16*k + 3*k**u + 15*k. What is v(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1644648 divided by -136.\nAnswer: -12093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, 325, 323, 319, 313, 305, 295?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 224944.\nAnswer: 2024496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133677 + 207556. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*q - 12 = 0, x - 10 = -5*q + 6. Let b(m) = -102*m**2 + m. Let g(d) = 11*d**2. Let y(c) = -2*b(c) - 18*g(c). What is y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**3 - 13*a**2 - 40*a + 73. Let m(u) = -5*u**3 + 6*u**2 + 20*u - 36. Let i(s) = -4*b(s) - 7*m(s). Solve i(l) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 o, and 1 n when four letters picked without replacement from ununoinomounlo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 8. What is the units digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120113*y**2 - 33790*y**2 + y + 56058*y**2 - 46379*y**2 + 92524*y**2.\nAnswer: 188526*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9071.8 + 9377.708. Let p = -305 + r. Let y = -0.092 - p. What is the second biggest value in 1\/5, y, 0, 3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2370 * -44514\nAnswer: 105498180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*j*v - 228*j - 5479*v + 2 with respect to j.\nAnswer: 29*v - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6280 is divided by 1179?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63293 in -1, -3\/37, 3\/5, -2\/13, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, 23, -59 in descending order.\nAnswer: 23, 1, -2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 10*v - 24. Let p be o(-13). Suppose -2*g**2 + p*g + 0*g**2 - 15*g = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22906*n + 22698*n - 45621*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Let k(o) = o + 10. Calculate the remainder when k(-3) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 126672\nAnswer: 5193552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -867*p - 34*p**5 + 867*p + (0*p**2 - 5*p**2 + 4*p**2)*(5*p**3 - 3*p**3 - 9*p**3).\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020582778 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 2, l: 4, n: 9}. Give prob of sequence nny.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 493272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -497266501 > -497266501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + k + 30, 3*o - 3*k = 4*o + 20. What is the third smallest value in 1, o, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 - 59*u - 90. Give a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 7 + 8. Let i be 1\/u*(-21 + 30). Suppose n + 2*s = -i*n + 706, 3*n - 533 = -5*s. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*x - 35*x + 80281. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 131*q + 98. Suppose -m + 5*b + 6 = -2, 4*m - 2*b = 122. Is z(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 161\/14)*84\/(-9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1768*x**3 + x**2 - 12*x - 9. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5. Let z be j(-7). Suppose -l + 5*x - 2*x = -z, 0 = x. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uae when three letters picked without replacement from {e: 8, u: 2, a: 5}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1244430\/88 + 5\/(-25)*(-10)\/(-8). Calculate the greatest common divisor of p and 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328277.3 millimeters in micrometers?\nAnswer: 328277300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -7, 0 in decreasing order.\nAnswer: 0, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*m + 21019 = 0, q = 2*m + 5667 + 1343. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, i: 9}. Give prob of sequence titi.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z - 144. Let c = z - 17. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 5, j: 5}. What is prob of sequence aa?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d + 68*d + 2*i = 284, -3*d = 5*i - 178. Calculate the least common multiple of d and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00742 to four decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -3*m**2\/2 + 3. Let y(z) be the second derivative of -z**3\/3 + 31*z. Determine y(o(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 43. Let d be u(6). Is -97\/16 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k**2 + k**2 - 3*k**2 + (-5*k + 10 - 10)*(4*k - 2*k + 0*k) - 27*k + 27*k - 31*k**2 - 2 + k**2 + 2 to d*k**2 + w + g*k and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 28, 54, 80, 100, 108, 98?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x + 2*x - 154. What is the greatest common factor of x and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 70. Let w be (-2)\/7 + (-452)\/(-14). Suppose w = -17*p + k*p. Solve 3*h + 2*u = -p, 0*h + 3*h - 3*u + 18 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3\/4 - 45*j**2\/4 + 5*j\/4 + 45\/4 = 0. Calculate j.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138694 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23961925.\nAnswer: 5, 13, 17, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (130\/25)\/((-4)\/20). Let t = 29 + d. Let z be -1 - ((t - -3) + -1). Let b(f) = -f**3 - 6*f**2 + f + 6. What is b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1226 + -1226. Let r be 8 - 5 - (-43)\/(-15). Let d = 0.01 + 0.29. What is the nearest to w in r, d, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40876 is divided by 3144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -3*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 2. Let w = 4 + -9. Let r be s(w). Let v(o) = 1. Let i = -38 - -37. Let g(b) = b. Calculate i*g(p) + r*v(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 905\/8841 or 1?\nAnswer: 905\/8841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 39*d**2 + 17*d + 11. Let c(w) = 13*w**2 + 6*w + 4. Let r be (128\/(-24) - -4)\/(4\/(-18)). Calculate r*i(n) - 17*c(n).\nAnswer: 13*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -137469 + 134054 - 2*p + p as k + i*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/17529008 and 111\/29680?\nAnswer: 87645040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:14 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 7 - 3 - 39*l**4 + 79*l**4 - 14*l - 41*l**4 in the form y*l**4 + z + b*l**3 + m*l**2 + r*l and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 308*o**2. Let d(a) = -1233*a**2. Let z(m) = 18*c(m) + 4*d(m). Let h(q) = -q. Calculate z(h(k)).\nAnswer: 612*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 85*o**2 + 10816*o - 5268. Determine l(-155).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1051 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/19 - 946*z**3\/19 + 15648*z**2\/19 = 0.\nAnswer: -489, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104791 (base 12) in base 5?\nAnswer: 31204421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -30*l**2. Let c(a) = 14*a**2 - 2837 + 2837. Give d(c(u)).\nAnswer: -5880*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**4 + 11970*b**3 + 131060*b**2 - 11970*b - 131065 = 0. Calculate b.\nAnswer: -2383, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -1.31?\nAnswer: 34.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**19*x**(-2\/41) assuming x is positive.\nAnswer: x**(-740\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2324105 is divided by 1162008.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*d - 754 = -1775 + 112 - 2501 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 13) to base 15\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/((-42)\/(-9)))\/(1\/(-2)). Let h = -29 + 41. Solve l - 5*v = -10, v + h = j*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 6*r - 3. Suppose 4*y + 12 = y. Let t be a(y). Let c(x) be the second derivative of x**4\/12 - 5*x**3\/6 - x**2\/2 + 28*x. Determine c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/4 + 2*v**3 + v**2\/2 + 8*v - 45. Is f(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 395.8781836?\nAnswer: 398.8781836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 1.21, -2.1, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 955 = 4*v. Let c(n) = -47*n + 471. What is the remainder when v is divided by c(9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*c = -4, -2*c - 3*c = -15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 31791181*l\/2 - 1010679189374761\/4.\nAnswer: -(l + 31791181)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101233138?\nAnswer: 2, 103, 491423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011001110010 + -100010?\nAnswer: 10101011001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 257627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -17*g**3 - 5*g**2 - 98*g - 95. Determine q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -26*q + 46. What is w(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 26*s**2 + 80*s\/3.\nAnswer: -2*s*(s - 40)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*a - 2, -a = 5*d + 3*a. Let v be (-6)\/d*2\/(-3). Let i(l) = 9*l**2 + 1. What is the tens digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - c + 2)*(c**2 + 0*c**2 - 3*c**2) + 5*c**3 - 4*c**3 + 0*c**3 + 4*c**3 + 2*c**3 + 2*c**3 in the form z + n*c**2 + a*c**3 + s*c and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*l - d, 5*l + 18*d + 1214 = 1324 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -2\/43?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 413*q**2*y**2 + 1094*q**2 + 21*q*y**2 + 24*q + y**2 + 4*y - 6 wrt y.\nAnswer: 826*q**2*y + 42*q*y + 2*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1126.77013 to one dp.\nAnswer: -1126.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 14*p + 2. Let h be (4\/3)\/((-8)\/84). Let n be u(h). Suppose v = 2*m - 2, 0*m + m = v - n. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2702*z = 2672*z + 30. Which is the closest to 0.2? (a) -0.91 (b) -4 (c) z (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11168834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 - 3 = 0. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/74040299 - -7614822631297\/1628886578. Let v = 4670 - s. What is the common denominator of -49\/632 and v?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3070*f**3 - 10245*f**3 + 1708*f**3 - 5166*f**3 - 9118*f**3.\nAnswer: -19751*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4485*p - 901481. Determine c(201).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201682 by -201682.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493432 is divided by 5363.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 y when three letters picked without replacement from {z: 1, e: 2, y: 2, j: 1, f: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 2211104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413 + 1?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1836 - 1831. Solve 2*v + 3*c = -k - 6, 4*v = c - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.49 and -0.734.\nAnswer: -2.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 2\/27, -5, 6, -4.75?\nAnswer: -4.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -199*u**2 + 5*u - 22. Let h be i(-8). Let y = h + 179275\/14. Let s = -7\/32 + 5\/32. Find the common denominator of s and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 12 = 4708*r - 4711*r, 2*r - 13 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wczywkwwwwwwwywwcyw. Give prob of picking 1 k and 1 c.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 168+5242698\nAnswer: 5242866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Let t(g) = -g**2 + g + 23. Let j be t(-4). Suppose -v + o = v + 1, j*v + h*o + 5 = 0. What is the nearest to v in 0.1, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 635.605 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*b = 3*p + 19, -3*b + 9 = p. What is the greatest common factor of p and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(288))*-3 + 3)**2 - (-3 + (sqrt(98)*2 - sqrt(98))**2*-6 + 2*sqrt(98) + 5).\nAnswer: -806*sqrt(2) + 3299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 300\/2240 + 3\/144*-3\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:41 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = 3*o, -b - o = 4*o + 6. What is the third smallest value in 2, 3\/4, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -4*s, -4*v - v + 8 = -s. Suppose 10 = -v*x + 2*j - 6*j, -j = -5*x + 30. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 34*t**2 + t - 2. Let k be o(1). Let a(w) = -63*w + k*w + 34*w. Let x(l) = l. Calculate a(x(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -42.67, 2, 0.037?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**1*f)\/f)\/(f**1\/f*f*f)*f**(-2\/9)*f**(-6)*f*(f**(-1\/2)\/f**(-2\/9))\/(f**0)**(-8\/5) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -0*o - 4*o - 4, 0 = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(156)*-2)\/(sqrt(3) + (sqrt(18) - sqrt(54)\/sqrt(3))\/sqrt(6) - sqrt(768)).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) - -2*sqrt(133)*2))\/(2*sqrt(847)).\nAnswer: -2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h. Let b = -732 - -736. Let n(w) be the second derivative of w**3 + w**2\/2 + 4*w. Calculate b*s(x) - 3*n(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 168 (b) 0.136 (c) 0.3 (d) 2\/51 (e) -2\/7 (f) -0.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2205 - -5?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -157, -18, -133, 0, 2 in increasing order.\nAnswer: -157, -133, -18, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, 12, 16, 12, -6, -44, -108?\n\"Answer: -z**3 + 5*z**2 - 2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -129. Let z = a - 48. Let o be (-2 + 2)\/1 + 0. Is z greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7*d = -0*d. Suppose z - 5*h + 19 = 2*z, d = 4*z + 5*h - 31. Solve -4*c = -v, -z*v + 3*c - 6 = -19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 * -0.8961\nAnswer: 60.9348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 97.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 297 = 2*l, -10*v + 6*v + 612 = 4*l. Calculate the remainder when l is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2048744 or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3295 - 3?\nAnswer: -3298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 3*j + 1109. Let p = -244 - j. Calculate the remainder when p is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -11*h - 108 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 + 3*m - 3. Let b(g) = 7*g + 14. Let i(y) = -8*y - 14. Let x(c) = -6*b(c) - 5*i(c). Let s be x(-8). Determine j(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05551 to 3 dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -105. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-19 - -12 - (-2 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7441123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(3\/9). Let q(l) = 2*l**2 + 4*l. Let a be q(-3). Let b be (-2)\/a*0 - -2. Put b, i, 3 in descending order.\nAnswer: 3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39 - 39 + 3*f - 4*f**5 wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317472668 to the nearest integer?\nAnswer: 17818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -36. Suppose m + 2*v + r = 0, 2*m = m + v + 1. Suppose -3*c + 4*l + 56 = c, m = 3*c + l - 22. Solve c = 3*x, -4*w + 3*x + x = 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4287 (b) -1.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34ca - a?\nAnswer: -34d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - z = 117668 - 924196, 4*z = -g + 161317. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*q - 276 = -118 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8 and -90682641.\nAnswer: -90682641.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14944.587 months to decades.\nAnswer: 124.538225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -28\/9*x**2 - 16\/9 + 56\/9*x - 10\/3*x**3 = 0.\nAnswer: -2, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhrgfmugmfuffrfrfgrm. Give prob of picking 3 r.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 - 5*g + 2. Let d be k(4). Suppose 4*x - 40 = 60. What is the remainder when x is divided by -2 + d\/(2\/(-11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1\/2, -2, 2\/185?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8*(-2)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 21. Solve -c*q = -4*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800870?\nAnswer: 2, 5, 7, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:06 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) -4\/9 (b) -22\/23 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 198. Let q(t) = 3*t. Give q(g(l)).\nAnswer: 9*l**2 + 594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - u**2 + 1 + 5 - u**3 - 3*u. Let t(h) = h**2 - 9*h. Let a be t(8). Let g be (-2)\/(-8) - 38\/a. What is i(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44938920782 - 3345\nAnswer: -44938924127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*t + 46, 5*t + 3*m + 93 = -30. Let x = t + 38. What is the highest common divisor of 98 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*c + 316 + 1265 + 2307 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1798289.1.\nAnswer: 1798289.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1499677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w - 10. Let h(l) = 3*l + 12. Let m(d) = 2*h(d) + 3*j(d). Let z(v) = -2*v**2. Determine m(z(p)).\nAnswer: 12*p**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -5*v - 22*b + 41*b - 27*b, 2*b = 5*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 735*r**2 - 2244*r - 35267. Calculate n(-732).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.040912 + 59115655.\nAnswer: 59115654.959088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * 1.9.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/672 - n**7\/140 + n**6\/120 - 3*n**2 + 5. Find a such that r(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 6. Let c be s(2). Suppose 0 = -j + 2*p + 10482, -4*j + c*j - p + 41919 = 0. Let b = j + -16680. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g, 8*o - 5*o + 2*g - 17 = 0. Let j(s) = -s**3 - 5*s**2 + 7*s - 1. Let w(d) = -d**3 - 3*d**2 + 4*d - 1. Determine o*j(u) - 5*w(u).\nAnswer: 2*u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146720137.\nAnswer: 577, 254281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o + 15*o - o**4 + 0*o**4 + 8*o**3 to the form t*o + r*o**4 + c*o**2 + w + f*o**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65.82235ml?\nAnswer: 0.06582235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.29152nm in micrometers?\nAnswer: 0.00429152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*k = -12, 6 = -5*f + 3*k - 20. Suppose 0 = 33*c + 96 + 3. Sort c, f, -10, 4 in decreasing order.\nAnswer: 4, c, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106361763.\nAnswer: 3, 29, 67, 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 930582 and 107026.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -81*6964.1\nAnswer: -564092.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 9*t**2 - 10*t - 5. Let h be l(-7). Let u = -8 - h. Solve 5*j - 4*k + u = 0, -4*j - 3*k - k = -16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655) + (sqrt(6655) - -2*sqrt(6655)))\/sqrt(11).\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 + 67 - 58) + -65?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 0.0444?\nAnswer: -0.000888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-392))\/((-119)\/(-28)) - (-2)\/(-17)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723522055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.51 * -0.5.\nAnswer: 1.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 minus 0.4?\nAnswer: -187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 1.9 (c) -0.2 (d) 526 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 0.578113\nAnswer: 0.078113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = 3*k - 0, w + 3*k = -5. Suppose -8*x + w = -79. Calculate the smallest common multiple of 55 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:35 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g + 33*g + 14870 = -0*g + 7170 for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14660 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6591887881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + (-49 - -34) + -7 + 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60 - 34*l**2 + 2*l + 41*l**2 + 0*l wrt l?\nAnswer: 14*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulxls. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4*(l**(2\/19)*l)\/l)\/(l**(-24)\/(((l\/l**(9\/4))\/l)\/l)) assuming l is positive.\nAnswer: l**(1357\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12102012 (base 3) to base 9\nAnswer: -5365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240208?\nAnswer: 2, 77513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*p**2*w**2 + p**2*w + 175250*p**2 - 54*p*w**2 + p*w + 3*p - 2562*w**2 wrt w.\nAnswer: -40*p**2 - 108*p - 5124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*d - 5, -2*d - 32 = -5*o - 1. Solve 0 = -5*m - o - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*t - 14 = 226*t. Let n be t\/(1\/(-4)*600\/(-125)). Which is the closest to 1? (a) -3 (b) -39\/5 (c) n (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -440744, -440743, -440742?\n\"Answer: m - 440745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59255*w + 198 = 59273*w. Let k(z) = -z**2 - z - 7. Let n(h) = 2*h**2 + 3*h + 20. What is w*k(m) + 4*n(m)?\nAnswer: -3*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 2*n + 2*n**2. Let q(g) be the first derivative of -7*g**3\/3 + 37. Determine t(q(c)).\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(171)*-4 + sqrt(171))*-4)\/(-2*(-2*sqrt(99))\/sqrt(11)).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43681780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 214786785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7 - 1 + 4*l - 1 + 4*l - l**2 + 1. Calculate u(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -373\/7 - -53. Let v = -3.05 - -3. Let a = 3.95 - v. What is the third biggest value in a, -3\/2, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3 + 11*b**2 + 8*b + 6*b - 14*b wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7063585201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113212 + 302001?\nAnswer: 122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2360, 18858, 63640, 150848, 294624?\nAnswer: 509110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/i**(-8))\/i)\/(i**(-4\/3)*i))\/(i**(-4)\/i)**0)**(-35) assuming i is positive.\nAnswer: i**(-980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 24*h - 30. Let q(t) be the second derivative of 0*t**4 - 9\/20*t**5 + 5*t + 0*t**h + 0 + 1\/2*t**3. Find the second derivative of q(w) wrt w.\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = 119 + 7 + 324 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, 9, 0.1, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1760 - -3513. What are the prime factors of c?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(90)\/sqrt(9)))\/(sqrt(196)*-3).\nAnswer: -sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 71 = 11. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 16460. Let c(w) = 14*w**2 + 10*w. Give r(c(q)).\nAnswer: 42*q**2 + 30*q - 16460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28820\/84 - 1\/(-3). Let k = o + -344. Are -1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 308291 = -2*h, -202*h - 205510 = -2*j - 205*h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -27*k + 110. Let h be j(-10). Let m = 385 - h. Solve o - 3 = -3*b, -o + 4*b - 4 = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhvkkhhwkwhvkh. What is prob of picking 1 h, 2 k, and 1 v?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8448 divided by -132\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.2 + -8. Let p(g) = 45*g + 8. Let k be p(-2). Let c = 87 + k. What is the second smallest value in h, 0.05, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400863.4s to hours.\nAnswer: 666.9065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*8\/60 + (-2478)\/18. Let q = x - -441. Let j be q\/(-14) + (-4)\/14. What is the third smallest value in 5, -2, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8381\/(-561) + 4 - (-8)\/(-132)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3854.\nAnswer: -3854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let r(g) = -110*g**2 + 7*g + 1. Let z(k) = 110*k**2 - 8*k. Let a(o) = -8*r(o) - 7*z(o). Give a(b(t)).\nAnswer: 110*t**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 16 + x - x + 2*x. Let k be v(-9). Suppose -4*w = -k - 254. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74808 and 404.\nAnswer: 7555608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.545 and 3361?\nAnswer: -1831.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55427296 to the power of 1\/2, to the nearest integer?\nAnswer: 7445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223481 - 5676*l + 223481)*(-3*l**2 + 0*l**2 + 0*l**2).\nAnswer: 17028*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3294602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24846746316857828 + 24846745299970144.00000073. Let w = p + 1016887643. Let m = w + 41. What is m rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/((y**(-2\/3)*y)\/y)*y)\/y)**(1\/4)*y**3*y*(y\/(y\/(y**(6\/11)*y)*y))\/y assuming y is positive.\nAnswer: y**(139\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*m = 62, 2*y + 8 = m + 61. Let z = -7 - -8. Let q(p) = 10*p**3 - p**2 + 1. Calculate the remainder when y is divided by q(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 3)*(4 + 2 + 5)*(-3*r**4 + 0*r**4 - 5*r**4) in the form u*r**4 + m*r**3 + h*r**2 + w*r + z and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - 4*q, 205 - 210 = -j - 2*q. Let p = 3.1 + -3. What is the second smallest value in 12, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4330*y - 50. Let r be 3\/((-42)\/(-4)) + 61\/7. Suppose -i + 6 + r = 0. Let w be u(i). Round w to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3\/2, -0.14, -65, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l. Suppose 0 = 3*i - 3*x, -i - x + 6 = 4*i. Determine g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + ((sqrt(304) - (0 + sqrt(304)))*5 - sqrt(304))*3)*-3.\nAnswer: -3 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.99 + -20.5. Round o to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290585 and 1511042.\nAnswer: 7555210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1730 - 1702. Let b(v) = -v**2 + 8*v - 6. Let h be b(6). Solve -4*l + k + h = a, 23 = -5*l - k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Let m = q + -8. Let y = -0.01 + -0.29. Which is the biggest value? (a) -2\/9 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**2 - 6*y - 6. Let u(p) = 12*p**2 - 5*p - 5. Determine 6*u(x) - 5*z(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74413673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4442 - 4?\nAnswer: -4450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101 + -110?\nAnswer: -10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 55\nAnswer: -7\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 13*p**2 - 211*p + 3703. What is s(16)?\nAnswer: 1095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*x + 2)*(-x - 3*x + 2*x - 4*x + 4*x - 2*x + 2*x - 5*x + x + (-1 - 6 + 5)*(2*x + x - 2*x)) to c + l*x**2 + o*x and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - 84. Let i(b) = -14*b**2. Let x be i(1). Let r = x - d. Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 2*o + (474 + 616 - 294 + (0 - 2 + 4)*(-3 + 5 - 4))*(3*o - 4*o + 3*o).\nAnswer: 1582*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - -5*sqrt(224)) + (sqrt(14) - (sqrt(14) - -2*(sqrt(56) + sqrt(14)))))\/(-1*sqrt(72)*-2).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36256 divided by 1648?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + j**3 + 1 + 4*j + 4*j**2 - 2*j. Let v be (-2)\/(-12)*1 + 19\/(-6). Calculate q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 325 - -981. Let i = 12749\/6 - 2131. Calculate the common denominator of i and w\/(-360) - (-10)\/(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810860621.\nAnswer: 53, 2969, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = -4*v, 4*v + 4*z - 13 = 3*z. Let u = 4459 + -49013\/11. Is u smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 3. Let c be u(12). Solve 5*s + a + 15 = -c, -a = -4*s - 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 1950*a + 40057. Determine r(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**2*k**3 + 2*f**2*k*u + f**2*u**3 - 11*f**2 - 13*f*k**3*u**3 - 11*f*k**2*u**2 wrt u?\nAnswer: 6*f**2 - 78*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 22*i + 3*c = -3*i - 18, -5*i + 12*i = -24*c - 237 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.683 take away -11304076?\nAnswer: 11304079.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 3*v**4 + 0*v**3 + 42*v**5 - 48*v**5.\nAnswer: -3*v**3*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356660555.\nAnswer: 5, 149, 478739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -119.546054 * -0.2\nAnswer: 23.9092108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:33 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*x - 7, -8*a - 2*x + 4 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 4:16 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36146*g**3 - 53411.\nAnswer: -108438*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1225065 and 4083550.\nAnswer: 12250650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4771028092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6857*y + 336016. Calculate u(-49).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*a + 28, 3*h - 3*a + 4*a - 64 = 0. Let c(d) = -d - 1. Let t be c(-3). Suppose -h = -4*l - t. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 + 2)*(-9017 + 9017 + 165*y) in the form c*y + k and give c.\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 205*y - 3049. Let c be o(15). Calculate the highest common divisor of 559 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 4*w - w**2 + 0*w**3 - 8*w + 2 + 5*w. Let v be t(-1). Are -15 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/4 + 565*j\/2 - 3354 = 0?\nAnswer: 12, 1118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 66*w**2 + 219*w**2)*(4*w**2 - 3*w**2 + w**2) as b + i*w + a*w**4 + c*w**3 + x*w**2 and give a.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l**2 - 2 + 1\/6*l**4 + 1\/3*l**3 - 1\/120*l**5 + 0*l. Let r(z) be the third derivative of j(z). Give r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844 + 562 + 17*x - 123.\nAnswer: 17*x + 1283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.32412l in millilitres?\nAnswer: 53324.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -67.4. Let i = 0.0093 - -1.3907. Let m = k - i. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)*u**(-16))**14 assuming u is positive.\nAnswer: u**(-406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 661 - 670. Put c, 2, -0.24 in increasing order.\nAnswer: c, -0.24, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 21 - 2 = p, -5*p - 27 = 3*x. Let q be 210\/49 + x\/14. Suppose -d - d = -q. Solve -4*j + 3*r - 4 = 0, 0*j - 12 = -2*j - d*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -929, -928, -927, -926, -925?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) 5 (c) 3.4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - ((-4 - (-13 - -10)) + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 46, 18, -1 in decreasing order.\nAnswer: 46, 18, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2*h - 6. Let i be v(-8). Suppose t = -3*m - 3*t + i, m = 4*t + 30. Calculate the least common multiple of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 2*i. Let h(b) = 4*b**2 + 6*b. Let x be -5 + 1 - 0\/(-1). Let q = -2 - x. Give q*h(o) - 7*f(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65530887 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03122*-6540.\nAnswer: 204.1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/g)**24)**7*(g*g*g**(1\/3))**(1\/26)*g**5\/(g**(-4)*g) assuming g is positive.\nAnswer: g**(-5921\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41584 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 156 = a. Let w be (0 - -1)*1 + -29. Let x = a + w. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 208*y - 206*y. Let c(w) = 11*w + 29. Let x(z) = 16*z + 31. Let g(p) = 3*c(p) - 2*x(p). Give g(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 2 - 2*o + 0*o + ((1 + 1 - 6)*(-4 + 1 + 0) + 0 - 1 - 4)*(-32*o - 32*o + 21*o) to s*o + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/36*-3)\/(4\/(-54)). Calculate the highest common factor of 153 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-three tenths of a tonne?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259491 is divided by 833?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*r + 4*r + 25, -2*h + 2*r + 8 = 0. Let u be ((-2)\/4)\/(h\/10). Suppose -20 = -u*a + 45. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0)\/(-32 - -38). Let k(t) be the first derivative of 9\/2*t**2 - 4*t**3 - 8 + p*t. Find the second derivative of k(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 141*c + 540. Calculate j(-10).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(11\/8)\/((t**(-2\/11)*t)\/t**(-3)) assuming t is positive.\nAnswer: t**(-1297\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*m - 2*p, 4*m - 4*p - 76 = -0*m. Suppose -m = -3*z + 28. Solve 10*r - 5*r = z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**4*x**2 - 2*i**2*v + 66*i**2*x**2 + 2*i*v*x**2 - i*v*x - 6*v*x**2 + v*x wrt i?\nAnswer: 48*i**2*x**2 - 4*v + 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2289244532 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let p(r) = -r + r - 29270 - 3*r**2 + 29400. Give o(p(t)).\nAnswer: 18*t**4 - 1560*t**2 + 33800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(-26*4\/24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764142473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.963 + -30.963. Let p be (-9)\/(-10)*(-4)\/(-3). What is the second biggest value in p, 4, 1, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4500440 (base 6) to base 13.\nAnswer: -7b945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656785 != 4656786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-7) + (-26)\/91. Let c be (84\/20 + h)\/(2\/(-20)). What is the highest common factor of 64 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, n: 6, d: 3, u: 3}. Give prob of sequence odno.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 31 = -2*u + 3*z, -2*z = -6. What is the second derivative of -2*c**3 - u*c + 4*c**3 - 2*c**3 + 8*c**5 wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.76203 centimeters in nanometers?\nAnswer: 907620300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -1\/9 (c) 4 (d) 0 (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:39 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -25 + (1 - (-2 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 + -7 + 7. Solve p = -l + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -916*l*q**2 - 232*q**2 with respect to l.\nAnswer: -916*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208240 by -4.\nAnswer: -52060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*i + 68, -3*r + 4*i + 37 = -4*r. Suppose -4*q + 15 = -1. Let f be -31*1 + q + -6. Is f less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.2. Suppose 3*s - 8 = 19. Let t = -2.41886 + 6.41886. What is the smallest value in t, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30283 + 6677 = -74*t. Let s(f) = 19*f**2 + 4*f + 3. Let a be s(-5). Let x = a - t. What is the remainder when x is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 4*z. Let i be n(5). Let d be 5\/(5 + (-72)\/15). What is the greatest common divisor of i and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/60 - a**3\/6 + a**2 - 9. Let t(v) = 2*v**2 - 1. Calculate c(p) - t(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1101 - 1109. Let t(c) = -2*c**2 - 9*c + 17. What is t(w)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8)*(6 - -7318). Let i = -2361 + g. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 108648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -999*-0.1.\nAnswer: 99.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 + 11*w**2 - 71*w + 64. What is m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/15 - (-1)\/(-5). Suppose -4*l + l + 2*r = -119, -114 = -n*l - 3*r. Suppose -5*b - 3*i + l = 0, 2*i + 2*i - 12 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 17*h**4\/3 + 731*h**3\/6 - 1206*h**2. What is the derivative of d(t) wrt t?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 393\/19 - 21. Which is the second smallest value? (a) v (b) 1 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/(-2)*5\/10. Suppose 0 = -u + 5*c - 14, c + 14 = 2*u - 6*u. Let o = u + s. Calculate the least common multiple of 5 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 4. Let k be (y - -8)\/(3 - 2). Solve 3*m - k = 7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - t**2 + 14 - 20*t**3 + 21 + 20 + 2*t - 59 as r + n*t**3 + k*t + s*t**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 5:29 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 1 - 0, -5*l = 3*z - 2. Suppose -4*p + l + 51 = 0. Let j(d) = -d**2 - d + 5. Let k be j(0). Solve k*i + 12 = -p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -7*i + 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*o**5 - 26\/5*o**3 + 24\/5*o**2 + 0 + 12\/5*o**4 - 8\/5*o.\nAnswer: -2*o*(o - 2)**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 124*v + 1563. Determine p(-12).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 26*u + 530. Let z be g(-20). Solve -8*t + z = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n + 3*n - y, -5*n - 3*y + 14 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10829 is divided by 762.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450567 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 16427 = -51595. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1288 + 2362. Let o = 1113 - l. Suppose 26 = -f + 3*f. What is the highest common factor of f and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p - 54. Let k(v) = 1. Let r(b) = -5*k(b) + o(b). List the prime factors of r(-17).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4539.96 in increasing order.\nAnswer: -5, 2, 4539.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 487228 divided by -4\nAnswer: -121807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9501 + -256537\/27. Sort y, 1, -2.\nAnswer: -2, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 4*i**2 - 4*i**2)*(-3*i**2 + 4*i**2 + 2*i**2)*(-3 - 3 - 12) - 12*i**4 - 9*i**4 + 19*i**4.\nAnswer: -56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105153637 is divided by 614?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75344 or 75343?\nAnswer: 75344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - r - 2*r + 2 + 2*r**4 + 0*r**2 - r**2 as b + n*r**4 + l*r + f*r**2 + z*r**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 40136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4971 + -4912. Calculate the remainder when 1889 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4935 is divided by 1630?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 40124294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -709 smaller than 10.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5946870 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 16) in base 3?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**3 - 4*x**2 + 4*x. Let d = -8 + -41. Let v(l) = 84*l**3 + 49*l**2 - 49*l. Calculate d*q(k) - 4*v(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 33*q**2 - 15*q - 10. Let f(z) = -6*z**2 + 3*z + 2. What is 11*f(a) + 2*g(a)?\nAnswer: 2*a**3 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 2373035 + 161*c**3 - 2373028 + 4*c**2 + 4746063 + 2*c.\nAnswer: 161*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 - 4*t**3\/3 + 53*t**2. Let g = -11 - -20. List the prime factors of f(g).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/4))\/c**(18\/7)*(c*c**(-5\/7))\/((c*c**(-5\/6)*c)\/c) assuming c is positive.\nAnswer: c**(-143\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -3121?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6338372?\nAnswer: 2, 43, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2202788, -1\/2, -0.11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - -67?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160279901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 5*z + 24 = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167488666*x**4 + 15376*x + 4993 wrt x.\nAnswer: -2009863992*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -261a?\nAnswer: -261d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 263 = 5*h, -5*h - 5*k - 111 + 386 = 0. Suppose -2*s = -h + 51. Let g be (-1 - -22) + (-5 - -7). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-12))\/(8\/36). Suppose -y = d*y - 294. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**6\/720 + o**4\/3 + 2*o. Let g(u) be the third derivative of b(u). Let n(l) = 4*l. Give -6*g(c) - 2*n(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c + 29. Let n be g(-3). What is the common denominator of (-2)\/n*(-10)\/32 and 83\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 270259601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 364. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 1963 - 1948 = 0, -29*n = m + 133 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.341 + -148.341. Let j = -147.9842 - l. What is j rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 296.\nAnswer: 3\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 19434408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 1475342 = -r - 1476948 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**2 - j**3 - 7*j**2 + (-j**2 + j**2 - 2*j**2)*(-2*j + 3*j - 3*j) - 1 + j**3 + 1 + (5*j - 7*j - 24*j)*(2*j**2 - 3*j + 3*j) + 4*j**3 + 0*j + 0*j.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 - 181168*r + 4102730528 = 0?\nAnswer: 45292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55792\/(-264)*3\/(-2)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30430 to the nearest 100.\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 170 = -8*p. Suppose 8*r - 3*r + 85 = 0. Let o = r + p. Calculate the highest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6759874, -13519742, -20279608, -27039472?\n\"Answer: c**2 - 6759871*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -9\/47, 4, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23192\/(-21408)*(-45)\/(-26)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Let v be 2\/36*(-6)\/(-4). Which is greater: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.241276 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o, -a + 1032 = -3*a - 2*o. Let g = 629 + a. What is g rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**2*s**4 - 224*d**2*s**3 - d**2*s - 4*d + 5*s**2 wrt s.\nAnswer: -24*d**2*s - 1344*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-385))\/((-4)\/(-176)*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 8*s - 1116. What is the smallest common multiple of s and 44?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459118.3kg in tonnes?\nAnswer: 459.1183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {h: 2, a: 4, w: 2, n: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 319.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 10. Suppose -k + l - 13 = 2*k, l = 5*k + 25. Let q be o(k). Let h(w) = 150*w. Let y be h(q). Round y to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12607*d - 19. Let l(o) = -2530*o - 4. What is -14*l(m) + 3*q(m)?\nAnswer: -2401*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*m + m + 11 = 0, 41 = 3*l - 2*m. What is the highest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + s + 75 = 0, 5*s = -4 - 16. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 2*g)*(1759*g + 2227*g + 1638*g).\nAnswer: 5624*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzrzzzrzzrzzrzrrz. What is prob of sequence rrzr?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -120, -180, -250, -336?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*d = -308 - 53, -2*d + 2 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:33 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(0 + sqrt(68)) + (3*(sqrt(68) + 0) - sqrt(68))**2 - ((1*sqrt(68)*1)**2 + sqrt(68) + ((-1 + sqrt(68))**2 - sqrt(68)) + 3)).\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*x + 2*x - 3, -x = -5*j - 1. Let s(u) = u**3 + 12*u**2 - u - 33. Let m be s(-12). Let f be (2 + j)*m\/(-3). Solve b + f - 3 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 2. Let y(s) = -8*s - 1. Let k(n) = q(n) + y(n). Let v(u) = -3*u. What is 2*k(m) - 5*v(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1459506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - k - 2 - 2 = 0, -3*d - 3*k + 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4657?\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y = 57*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174277 is divided by 87134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/30*-2 - 25380\/(-75). Suppose 6*n + t = 3999. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 330*s + 481. What is the tens digit of y(122)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 12, -t = b - 2*b - 23. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 517756.7 to the nearest 1000.\nAnswer: 518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3435 = 209*x + 365*x - 32709 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10577 (base 9) in base 16?\nAnswer: 1b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/(sqrt(54)\/sqrt(6) + sqrt(9))*-1)\/(-6*sqrt(4)\/sqrt(2) + (-1*sqrt(8) - sqrt(2)) + sqrt(2)))**2.\nAnswer: 11\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35800221811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 1\/7, 5, -1\/4, 84, -13614?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/8200819545 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from csccccccsccccs.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4002b - 31?\nAnswer: 3bbba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(660\/18))\/(2\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1, 2*v + 6 = -4*u. What is the remainder when 146 is divided by (74\/4)\/(u\/(-2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/18 - 2*g**3\/9 - g**2\/3 - 2*g\/9 - 9. Factor o(w).\nAnswer: -2*(w + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:05 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from bqqdba.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.909 + -28.1. Let g = u + 0.2. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 2, y: 1, e: 2, l: 1, m: 1}. What is prob of sequence iy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*s = 132*s + 6. Let g = 0.2 - -0.3. Let z be (16\/2)\/4*6\/4. What is the second smallest value in g, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -36*s + 14*s. Let l(r) be the third derivative of 1\/6*r**3 + s*r**2 + 0*r + 0 - 3\/8*r**4. What is the derivative of l(n) wrt n?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/3)\/(518\/(-1591)) and -74\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/3)\/(-7*(-9)\/(54\/(-6))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8504921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let p(g) = 10*g**2 - g + 13. Let h be p(-12). Suppose 3*o - f = h, -2*o + 980 = -f + 2*f. Let v(i) = -489 + o - 5*i. Calculate v(m(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 - 1\/(-4 + 3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/((124\/(-60))\/31)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/28)\/((-6)\/40). Let h = 0.04 - -2.96. Let l = 74.6 + -75. Which is the third biggest value? (a) l (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = 12*y + 189 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115996176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let r(d) be the second derivative of d**3\/6 - 3*d**2\/2 + d. Let b be r(8). Solve -b = 3*y - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357, -385, 2277, 7481, 16079, 28923, 46865?\nAnswer: 70757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 1. Let n be m(-2). Find the third derivative of -k**2 - n + 1 + k**6 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 680428000 to the nearest one million.\nAnswer: 680000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = s - 553862, -49*k - 5*s + 1107730 = -43*k. Round k to the nearest 1000.\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 10*a + 5. Let s be r(-6). Let k be (-5 - -3)*(-1)\/(-2) - s. Suppose -w + k = 5*w. Which is smaller: 27\/10 or w?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14876 + 3.32436. Round h to two decimal places.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 3468 = -3820 - 7595. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -2 - 11 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 70*t. Let m be z(-21). Solve 10*r = 167 - m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.5 (c) 16842 (d) 2\/7 (e) 0.01 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 12:05 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, u: 7}. What is prob of picking 3 u?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 13, g: 6}. What is prob of picking 3 s?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1561792 and 2944?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8 = g. Differentiate -2*n + 9*n**2 + g + 2 + 2*n with respect to n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30820, -123402, -277746, -493852, -771720?\nAnswer: -1111350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 2*i = -10053 + 2517, -1875 = 3*u - i. Which is bigger: -633 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*v - 7437, 2*v + 2277 = 3*t - 2186. What are the prime factors of t?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/92 and -43\/120436892.\nAnswer: 2770048516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -77. Suppose -128 = 3*l - v*l. Calculate the least common multiple of l and 54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*g**2 + 151*g**2 - 731*g**2 + 146*g**2.\nAnswer: -155*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 64 - 52 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -126. Suppose -d = 7*l - 4*l. Sort 2, -5, l in ascending order.\nAnswer: l, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 632 and 553.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 496\/12 + 2\/3. What is the common denominator of 4\/1 + (-17)\/5 and 3\/18 - 265\/f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 0*v**3 - 3*v**3 + (-3*v + 9*v + v**2 + v)*(48*v + 25268 - 25268) in the form t*v**3 + x + r*v + o*v**2 and give o.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63342 by -34.\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 + 56\/144*38.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40520700 divided by 550.\nAnswer: 73674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 849 and 637599.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/((n*n**(1\/9))\/n))**(1\/11)*(n**(2\/9))**(3\/11)\/(n**(-1\/3)*n**(-6)) assuming n is positive.\nAnswer: n**(659\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -128, -18, 300, 898, 1848?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1952 and 448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 115, 111, 101, 85, 63, 35, 1?\n\"Answer: -3*a**2 + 5*a + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-10) + 81444\/10 + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*h + 3*p, -31 = 11*h - 13*h - 5*p. Suppose h*g - 1341 = 3141. What are the prime factors of g?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33595*m**3 - 24154 wrt m?\nAnswer: -100785*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*i + 20, -1664*i + 85 = -1667*i - 10*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42470 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -2, -21, -60, -125, -222, -357, -536?\n\"Answer: -o**3 - o**2 + 5*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*y - 76*y - 87*y + 88*g - 93*g - 41 = 0, -2*g = 5*y + 44 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -63, 12, 129, 300?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a factor of 928449570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -11*g**6\/60 - g**5\/60 + g**4\/24 + g**3\/6 - 18*g**2 + g - 98. Let j(p) be the second derivative of x(p). Calculate j(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.182 and -0.8.\nAnswer: 0.9456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 5, c: 5}. Give prob of sequence aca.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12820 - -243505\/19. Is k at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**2 - p**2 - 65063 + 65070 + (-2 + 0 - 1)*(-p**2 + 0 + 0).\nAnswer: -6*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 249.8607092 and -41.458.\nAnswer: 208.4027092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 498*x**3 + 144747*x**2.\nAnswer: 3*x**2*(166*x + 48249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**6 - 228*u**5 - 7*u**3 + u**2 + 10210.\nAnswer: 360*u**3 - 13680*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.046 - -0.046. Which is the second biggest value? (a) l (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 8. Let q be t(2). Let d(u) = -4*u + 2. Let v be d(q). Let b be 4\/6 + (-4)\/(-3). Solve 3*k - b*k = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10138144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**2 + 28*k - 29. Let c(n) = -n**3 - 6*n**2 + 9*n + 5. Let d be c(-7). Is w(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17*((-166)\/84 - -2). Let y = 113\/133 + -35\/38. Let m = y - w. Which is the second smallest value? (a) m (b) 5\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3\/4 (c) 0.1 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/72 and -137\/5244?\nAnswer: 31464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.1 and -16069863734.\nAnswer: -16069863727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2607263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-69)\/(-2 - (-12)\/4). Let f = -18 - d. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-24))\/(155\/3348*18)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + -1*sqrt(135)\/sqrt(3))**2 - (-5 + (sqrt(45) - (0 + sqrt(45))))) + (4 + (sqrt(45) - sqrt(405))**2 - (-1 + sqrt(3645))).\nAnswer: -27*sqrt(5) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -9 + 155. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(8 - 15 - 17)*(-2*u + 7 - 7).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (-4*(sqrt(190) - (sqrt(190) - -3*sqrt(190))) + sqrt(190)) - -1*((sqrt(190) - sqrt(190)*-4) + sqrt(190)))\/((sqrt(1280)*2)\/sqrt(288)).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -194, -394, -584, -758, -910, -1034, -1124?\n\"Answer: i**3 - i**2 - 204*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q**2 + 12*q - 18. List the prime factors of y(-8).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1771.\nAnswer: 1\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12485, 13082, 13677, 14270, 14861, 15450, 16037?\n\"Answer: -z**2 + 600*z + 11886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2\/12*-3) - 9. Let m be (-6)\/15*50\/q. Suppose 60 = 5*h - 2*h. Calculate the greatest common factor of m and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4567*x**3 + 3*x**2 + 37*x + 48. List the prime factors of t(-2).\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 13*r**2 - r + 29. Let q be s(13). Let f be (q\/(-28))\/((-4)\/28). Solve 0 = -f*d + 5 - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -228897, -457585, -686065, -914337, -1142401, -1370257?\n\"Answer: 104*y**2 - 229000*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042037824 to six decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 5 = -4*t, -5*o - 2*t - 2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(7) + -3 - (-1 + sqrt(28))) + (sqrt(35)\/(sqrt(10)\/sqrt(2)) - ((1 + sqrt(7) - sqrt(7)) + -4)))**2*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 12*c**5 - 1000*c**4 - 3996*c**3 + 14632*c**2 - 1296*c - 8352 = 0.\nAnswer: -6, -2\/3, 1, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434 divided by 71611.\nAnswer: 434\/71611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 14045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13069998\/(-10) + 32\/(-160). What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*v**2 - 46*v**2 - 7*v + 18*v - 11*v.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0745*1.\nAnswer: 0.0745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p - p)*(-2 + 7 - 3) + 0 + 0 - 2*p + (1 + 2 - 2)*(p - 2*p + 3*p) - 3*p + p + 3*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3707, 7415, 11123, 14831, 18539, 22247?\nAnswer: 25955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a5 (base 16) to base 3\nAnswer: -20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*-4 + -5*(sqrt(85) + 1*sqrt(85)))\/(sqrt(720) + 4*(sqrt(720) + sqrt(720) + 2*sqrt(720))).\nAnswer: -sqrt(17)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.9 (c) -225 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1226*m + 1238. What is the thousands digit of t(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25753, 103828, 233955, 416134, 650365, 936648?\n\"Answer: 26026*v**2 - 3*v - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 565923*-0.5\nAnswer: -282961.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + a**2 - 2*a**4 + 0*a - 2*a**3 + a**3 + 0*a**4 to g*a**2 + n*a**3 + i + p*a + c*a**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -94.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 254397 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(525\/20))\/(10\/(-35)). Which is the smallest value? (a) 3\/4 (b) -1 (c) 4 (d) 0 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l**2 - 384*l - 75. Calculate g(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499864.\nAnswer: 2, 62483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -1.42. Let z be (-7 - -10) + 16\/(-6). Are z and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1537605459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.652 - 0.999. Let p = r + -0.073. Which is the nearest to p? (a) -3 (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 1. Let t be x(-3). Let r = 8 + t. Let k be ((-1)\/(-8))\/((-109)\/1744). Sort k, -3, r, 1 in increasing order.\nAnswer: -3, k, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i**6 + 0*i - 4*i**2 + 0*i**5 + 0*i**4 + 2\/105*i**7 + 0 - 1\/2*i**3. Differentiate m(b) with respect to b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 - 112. Suppose -h*i + 173706 - 9094 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.248141 hours to days.\nAnswer: 1.177005875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133228)\/(-26295)*18\/19?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81036 or -81035?\nAnswer: -81036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/6 - (-4)\/(-12). Suppose -16 - 12 = -i*g. Solve 0 - 2*c**2 - 4\/3*c + 2\/3*c**5 + 2\/3*c**3 + 2*c**g = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 114743040?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*s**3*w - 95*s**3 - s**2*w**2 + 2*w wrt w?\nAnswer: 16*s**3 - 2*s**2*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280916093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3277854 to the nearest 10000.\nAnswer: -3280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.928 + -0.004. Let u = -0.076 - f. Which is the second biggest value? (a) u (b) 3\/2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.047 - -0.707. Let i = h + -0.26. Let k = 99 - 98.9. Which is the closest to k? (a) -4\/3 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/4*o**3 + 5\/4*o + 0 + o**4 + 13\/2*o**2.\nAnswer: o*(o + 1)*(o + 5)*(4*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -465604, -931180, -1396756, -1862332, -2327908, -2793484?\nAnswer: -3259060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 6 = 12*k. Is (-1)\/(1\/k - 898\/1788) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*24\/(-14)*(-581)\/(-166)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((42\/(-8826))\/(-7)*-1)?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -103*p + 53. Let m(v) = 34*v - 18. Let y(k) = -4*d(k) - 11*m(k). Let g be y(7). Suppose 2*u + g = 5*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2061 - 3?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26964973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**17*o)\/((o**8\/o*o)\/o)*(o**0)**(-8) assuming o is positive.\nAnswer: o**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(1\/3). Let h = 1 - -2. Let t = 12\/19 + -55\/57. What is the nearest to t in h, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*b - 20427, u - 24307 - 2920 = -4*b. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/336 - 323\/(-6). Solve 34*x + 80 = m*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1237851394 to the nearest integer?\nAnswer: 35183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, k: 8}. Give prob of sequence kkkk.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 305 = 0. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(10) - sqrt(160))*-6)\/sqrt(5))**2*-2 + sqrt(22)\/(sqrt(1331) - sqrt(1331)*2) + -1.\nAnswer: -1301 - sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:45 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2.172, -2\/7, 0.5, -11, 37\/4 in ascending order.\nAnswer: -11, -2\/7, 0.5, 2.172, 5, 37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10388 is divided by 10175?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.354, 2.33, 9?\nAnswer: -0.354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-34))\/(7\/((-56)\/6))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 - 298 = -4*w. Suppose -929 + w = -5*t. Suppose 0 = 4*u - 0*c - 4*c - t, u = -3*c + 27. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 117968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 4*a = -12, 5*i - 12 = -4*a. Let x = 9 + i. Calculate the lowest common multiple of x and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -58. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17 - 413*i**2 - 2*i**3 + 16*i + 0*i**3 + i**3 + 400*i**2. Calculate s(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(12) - (sqrt(24)\/(-1*sqrt(2)) - sqrt(12))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:49 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -183*m + 377*m - 5 - 183*m. Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -39. Suppose 0 = -3*j - 0*j + p. What is the smallest common multiple of j and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/48)\/((-2)\/(-6)). Solve 5*v + 2 = -z, -n - 9 = -3*v + 5*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**3 + 4*p**2 + 2*p + 48. Let l be j(-19). Round l to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1091123100 to the nearest 1000000.\nAnswer: -1091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.246 + -0.046. Let m(p) = -p**3 + 12*p**2 - 11*p + 1. Let r be m(11). Which is the closest to 0? (a) 4\/9 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2893, -1, -16, 63.\nAnswer: -2893, -16, -1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 133587258 divided by -14\nAnswer: -9541947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.366 + 5.3658254. Round p to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqssqs. What is prob of sequence qsq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38375*o + 1 - 1 + 6 - 5 - 38387*o - 1.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/60 + 3*w**4\/4 + 27*w**3\/2 - 175*w**2 + 2. What is p(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 32446.491 days?\nAnswer: 4635.213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*1 + 23 + -10. Suppose 3*r - 20 = d. Factor -12*z**4 - 16*z**2 - 5 - 3*z**4 - r*z**3 + 15*z**2 + 10*z**5 + 21*z**2.\nAnswer: 5*(z - 1)**3*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -34\/135701?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 2*j**2 + 2*j**2 + (-3*j - 5*j + 6*j)*(2*j - 2*j**2 - 2*j) - 70*j**3 + 1470 - 1470)*(-16*j + 264 - 264).\nAnswer: 1072*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 + -c60833?\nAnswer: -c60787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379*s*y**3 + 4*s*y**2 + 2*s*y + s - 2*y**3 wrt y.\nAnswer: -2274*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-6)\/(-4))\/(16\/(-96)). Let s(u) = 4*u**2 + u + 1. Let y be s(-1). Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -90*q**2 + 46*q**2 + 34*q**2. Let a(y) be the third derivative of 0*y + 0*y**3 + 2*y**2 + 0 + 1\/12*y**4. What is o(a(v))?\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(4)\/sqrt(2) + sqrt(6)\/sqrt(3)*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12 and 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyxwowwxowxwwo. What is prob of sequence owwx?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15378057 is divided by 131.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759440 divided by 8630.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-791*p**2 + 2*p**3 - 767*p**2 + 1514*p**2)*(4 - 4 + 7).\nAnswer: 14*p**3 - 308*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -15663?\nAnswer: 16021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 7. Let h be f(9). Suppose h*v = 10 - 2. Suppose -54 + 66 = 4*b. Solve -u + v = -b*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 - y**5 + 8*y**5 + (-y - 5*y + 0*y - y + 2 - 2 + (-y - y + 0*y)*(2 - 4 + 3))*(-y**4 + 0*y**4 - y**4).\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = u - 45, -2*y - 4*u = 2*y - 48. Let p(v) = v**2 - 9*v - 16. Let b be p(y). List the prime factors of b\/3 - (-3 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632387?\nAnswer: 7, 61, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161381889 to the power of 1\/2, to the nearest integer?\nAnswer: 12704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.9 - 50. Round w to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6 - 0)*(-21978)\/(-2664)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1)\/(2*(2 + (-15)\/(-10)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2197 * -206.4\nAnswer: -453460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 8*q**2 - q + 5. Let t be c(-8). Let x = t - 9. Is (-1587)\/(-6) + (-6)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 23.94. Let j = 0.06 + q. Let f = -0.26 - 0.04. Sort j, f, 0.\nAnswer: j, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-740\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17499 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/61 - 113\/549. Let w = -0.3 + 3.3. Which is the second biggest value? (a) -0.4 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 204. Let n = 71 + x. Solve -n*o = -o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 7\/2)\/((-1)\/4). Let x(p) = 31*p**g - 33*p**2 + 2*p - 7 + 7*p + 0*p. Let i be x(4). Let j(u) = u**3 + 2*u**2 - 3*u. Calculate j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/46925656 and 139\/12.\nAnswer: 140776968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*1\/3 + 257. Let s = 149 + x. What are the prime factors of s?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 120. List the prime factors of d(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46888958*g**2*m**2 + g**2*m - 63221016*g*m + g wrt m.\nAnswer: 93777916*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What comes next: 3008, 12046, 27110, 48200?\nAnswer: 75316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 509, 871, 1235, 1601, 1969, 2339?\n\"Answer: p**2 + 359*p + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 177, 343, 509, 675, 841, 1007?\n\"Answer: 166*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 14*i**3 + 11*i**2 - 37*i - 2. Let n(z) = 6*z**3 + 5*z**2 - 17*z - 1. Let d(w) = 5*l(w) - 11*n(w). Let a be (-4)\/(-12) + (-16)\/12. Calculate d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-20)*(-1 - (-3)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*g - 48, 0 = j - 2*g - 5 - 4. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 748*p - 57460. Determine l(87).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4896*h + 641379. Give f(-131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7\/((-42)\/(-36))) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**7\/280 + 3*s**5\/20 - s**4\/6 + 37*s. Let v(j) be the third derivative of k(j). What is the derivative of v(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66338771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49531722.\nAnswer: 2, 3, 8255287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**2 + 57 - 37 + 5*l**3 - 9*l**2.\nAnswer: 5*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*p = 153*p + 30. Let a be (-1)\/(-3) - (-8)\/12. Is (p + -6)\/1 - (-624 + a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1944\/729*(-30)\/4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiaaiiiiiaaia. Give prob of picking 1 i and 3 a.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 19. Let t be r(10). Suppose -2*h - t - 23 = -5*k, -k - 5*h + 1 = 0. Solve -k*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -2. Let q be (z\/44)\/(9\/4). What is the second biggest value in -1, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153218 is divided by 708.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wol when three letters picked without replacement from livblbolwobvli?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 77*j**2 + 24 + 14 as v + l*j**2 + c*j and give l.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 17*f + 242. Let m be c(-14). Solve 0 = 5*w + 5*n + 10, 3*w + m - 2 = -2*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/11 - (-2796954)\/(-782199)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 5191 + 283 = 202*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-1\/3)*m)*m))\/m*m)**(-1\/6)\/(m*(m**14*m)\/m*m*m**(-19)\/m) assuming m is positive.\nAnswer: m**(73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 924 + -933.09. Let f = -0.89 - a. Round f to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 0.3, -2\/15, -0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83606 is divided by 81.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (16 - (36 + -49))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*q - 31 = -0*q, 17 = -3*l + q. Let b be ((-30)\/9)\/(l\/1392000). What is b rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 98*l**2 + 31*l + 82. Let y be q(33). Solve 3*i - t = -y, 0*i + 5*i + 27 = 2*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -188768 + 188768.27. Let s = 0 + 0.2. Which is bigger: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77274337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.048974 and 3.\nAnswer: -0.146922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8)\/y)**(3\/8)\/(y**(-16)\/(y\/y**22)) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 13 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d + 81. Let k be t(3). Find the common denominator of (-56)\/(-224) + k*(-50)\/(-32) and 3\/130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:24 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/3 + -6)*5\/(-3). Suppose -4*n + s + 561 = 0, 5*n - p*s = -s + 704. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 123\/4, 2, 99.51, -2\/3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 227*h**6\/15 - h**4\/3 + 19*h**2\/2 - h. Find the third derivative of c(m) wrt m.\nAnswer: 10896*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14601 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244994775\/383657131 + -3\/850681. Let m = -15\/41 - v. What is the common denominator of 2 + 166\/(-16) + -2 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 5 (c) 442.5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(40)\/sqrt(2))\/sqrt(4)*-6.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2\/5*s**5 - 3 + 2\/3*s**3 - 3*s**2 - 4*s + 3\/2*s**4. What is i in j(i) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 - 4641*x - 5144 + 5*x**3 + 4643*x to the form j*x + l + a*x**3 + b*x**2 and give l.\nAnswer: -5144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 46.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -36*(-11)\/528 - (-2 + 2). Suppose 4*r + a = 34, 0 = -5*r + a + a + 36. What is the nearest to 1 in r, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 - 3. Let h(y) = 15*y**2 - 5. Suppose -6*r = -r - 15. Let x(a) = r*h(a) - 5*v(a). Let l(g) = -2 + 4 - 2 - 6*g. What is x(l(k))?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15482 is divided by 397.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 8:48 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 34) + -1 + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -223 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 - 19*x + 123. List the prime factors of o(7).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131204 - -234?\nAnswer: 131441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 4*v**2 + 8*v + 19. Let s be b(-5). Let c be -1 - ((1 - s) + 6). Let h be ((-9)\/12*2)\/((-9)\/c). What is the closest to -1 in h, 0.4, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.35744 weeks?\nAnswer: 3240179712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82691 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 717\/12 - (-3)\/(-2). Let o = 59 - v. Let k = 142\/685 + -1\/137. Sort o, k, -0.2 in decreasing order.\nAnswer: o, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**3 - 26*o**2 + 52*o + 32 = 0.\nAnswer: -8, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2690\/9 or -298?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -775 - -774.106. Let v = 0.163 + -0.279. Let c = v + l. What is c rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m**2 + 12*m**2 + 45*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24476.4121 + 24477. Round y to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 52*o - 637. Let g be j(12). Suppose 2*z - 184 = 2448. What is the common denominator of (-2)\/g + z\/234 and -18\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586413698 divided by 10110581.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7570 (base 15) to base 14\nAnswer: 90b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*((u**3 + 1 - 1)*(-6*u + 240*u - 34*u) + (-u + 2*u + u)*(-6*u**3 + 5*u - 5*u)).\nAnswer: -376*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2))*-2 - ((-3 + sqrt(2))**2 + 5)) + sqrt(10)\/(sqrt(5) - (sqrt(5) - ((sqrt(5) + (sqrt(45)\/sqrt(9) - sqrt(5)))*-1 - sqrt(5)))) + -3.\nAnswer: -19 + 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/13, 0.8, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5948242*z**3 - 4 + 5488832*z**3.\nAnswer: 11437074*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2562380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**4 + 2*l**3 - 2*l**2 + 19997*l + 44761736 wrt l?\nAnswer: 8*l**3 + 6*l**2 - 4*l + 19997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w. Suppose 16 = 4*s + 5*g, 3*g - 5*g = 2*s - 10. Let b = s + -6. Calculate i(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k - 2. Let f be d(-4). Let z be (-2)\/(f - 0) - 1. What is the units digit of z + 49\/1 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4616462684 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = 4*g - 4*q, 11 = -g + 3*q. Let j(v) = 3*v**3 - v**2 - v + 2. Let r be j(1). Solve -g*i - 11 = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) 0.15 (c) -1\/5 (d) -56\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 10*d + 16 = -6*d, 0*g + 5*g + d + 15 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 + 138. Suppose -i + 10 = k*q, -5*q + 6 = -3*i + i. Solve z + 5*h - 1 + i = 0, 4*z - 2*h = 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:25 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131511818?\nAnswer: 2, 65755909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 2 + 2 - 4*m**2. Let v(l) be the third derivative of -l**4\/12 - l**3\/6 + 31*l**2 - 4. Determine i(v(s)).\nAnswer: -24*s**2 - 24*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4992.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6, 0 = 2*g - 0*v - 3*v + 119. Let y = g + 82. Calculate the remainder when 105 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e4 + e?\nAnswer: f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138765 is divided by 291.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 11047 + 60*l**2 + 32*l - 11047.\nAnswer: 4*l**3 + 60*l**2 + 32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 200390 times -0.4\nAnswer: -80156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l + 2*l**2 + 2*l + 3*l + (0*l + 5*l - 2*l)*(2*l + 0 + 0) as z + j*l + h*l**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 412620?\nAnswer: -412616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73359640 to the nearest integer?\nAnswer: 8565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/2 - 1493*v**4\/2 - 2991*v**3 - 4489*v**2 - 5987*v\/2 - 1497\/2 = 0. What is v?\nAnswer: -1, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + (-12)\/(-4) + 0. Solve 0*c = -5*m + 2*c + 33, 4*m = -2*c + x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10790950 to the power of 1\/2, to the nearest integer?\nAnswer: 3285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 283, -2, -5, -257 in ascending order.\nAnswer: -257, -5, -2, 1, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v - 48. Let u(m) = -44*m**3 - m**2 - 8*m - 7. What is the remainder when u(-1) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 16841*t**3\/9 - 16801*t**2\/9 - 40*t\/9 = 0?\nAnswer: -40\/16841, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 15 = 9*k. Suppose 0*i + 2*i - 30 = -o, -k*o = -3*i + 71. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 10697*y + 272 - 233 to c + k*y and give k.\nAnswer: -10697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18 - 13) + 33\/(-7). Do -22\/7 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + h + 2*h + (4 - 4 - 2)*(15 - 15 - 15*h))*(-h**2 + h**2 + 2*h**2) in the form b*h + d*h**2 + g*h**3 + x and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18666\/986 + 6 - 2\/(-29).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -400 and 34852109034?\nAnswer: 34852109434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/24 - 21*h**2 + 8*h. Let l(y) = 1284*y**2. Calculate l(d(r)).\nAnswer: 1284*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 142*i - 136*i = 44, 1960*i + 16 = -5*d + 1959*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*4*3\/36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4*w**3 - 88508109*i**3*w**3 - 88588*i**2*w**2 - 2*i**2*w - 169*i*w + 2*w**3 wrt i?\nAnswer: -24*i*w**3 - 531048654*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -257760?\nAnswer: -257760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5. Let v be p(0). Suppose -3*z + 60 = -v*f, 4*z = -3*f - 6 + 86. Solve -3*t + z = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -954 + 952.394. Let p = 0.116 - w. Let m = 1.7 - p. Round m to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivpih. What is prob of sequence vpi?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 20*f**2 + 23*f + 20. Let k(i) = -7*i**2 - 8*i - 7. Calculate -17*k(o) - 6*q(o).\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168186, -168185, -168184, -168183, -168182, -168181?\nAnswer: -168180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-54156.\nAnswer: 2166.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -5*w**5\/12 - 407*w**2. Let f(j) = 17*j**2. Calculate f(z(t)).\nAnswer: 10625*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1492*g - 10 - 743*g - 750*g - 9. What is l(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26434*x**3 + x**2 - x**2 + 26420*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216*t**2 + 1075*t**3 - 270*t**3 - 269*t**3 + 214 - 266*t**3 - 429*t - 271*t**3.\nAnswer: -(t - 214)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2) - 2\/(-4). Suppose -2*j = s*j - 10. Suppose 0 = 3*n - j*p - 40, -3*n - p = -6*p - 28. What is the remainder when 46 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 1898 = 0. Let p(i) = 54*i - 120. Let t be p(26). Suppose -4*a = -6*v + 2*v + t, 3*v = -4*a + x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 65*q**3 + 3. Let d(i) = -64*i**3 - 2. Calculate -3*d(c) - 2*z(c).\nAnswer: 62*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297604, -297483, -297362, -297241, -297120?\nAnswer: -296999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/41, -3, -1, -0.1, -23, 2\/85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 34 = -4*s + 3*s, 2*r - 89 = -3*s. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*m + 2*m + 13 = 0, 3*s + 2*m + 17 = 0. Let o(l) = l**2 + 21*l + 88. Let x be o(s). Solve -3*d - d - x = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21275 and 1472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260194921 to the power of 1\/3, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26380.\nAnswer: 2, 5, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(180) + -5 - ((sqrt(40)\/(sqrt(8)*1) - sqrt(5)) + 0 + sqrt(80) + sqrt(5)).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14829.4 rounded to the nearest 100?\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.059 to one decimal place.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*f + 1 - 4, -5*n = -4*f - 6. Find the first derivative of -12*i**2 + 87*i**2 + 94 + 24*i**n + 2*i wrt i.\nAnswer: 198*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*x - 30 = 0, 5*k - 42 + 12 = -3*x for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1791 and 47079.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:03 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i + 24*i - 54*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9842550117*r**2 - 9842550117*r**2 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j + j)*(j - 3*j + 7*j + 8 + 3*j - 8 + j + 3 - 3 + (1 - 1 - j)*(-2 + 5 - 4))*(-1 + 2 - 3).\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093107362 to 5 dps.\nAnswer: 0.09311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7181 - -5?\nAnswer: -7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*r - 15, -4 - 1 = -r + p. Let m be (0 - (-4)\/6)*3. Let g be (28\/(-8))\/(-7) + (-21)\/(-6). Solve -21 = h - r*b, g*h - h = -m*b + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-128))\/((-1320)\/528).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:51 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22014, -44027, -66040, -88053, -110066, -132079?\n\"Answer: -22013*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -772.\nAnswer: -1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4493*n + 15 - 6 + 18 - 4484*n.\nAnswer: 9*n + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800025635.\nAnswer: 5, 3889, 41143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18194404 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -425 - -427. Solve u = -4*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8252, 32976, 74174, 131846, 205992, 296612, 403706?\nAnswer: 527274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -154475650 less than -1139.7?\nAnswer: 154474510.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h + 6*h - 2*h**2. Let x(m) be the third derivative of -121*m**4\/8 + 58*m**2 + 48*m. Give x(n(y)).\nAnswer: 726*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -361, -1, 11, 2, -13, -5 in descending order.\nAnswer: 11, 2, -1, -2, -5, -13, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307787548 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/7, 0, -4, 1.\nAnswer: -4, -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 452*q**2 + 282?\nAnswer: 904*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -310.23222 to the nearest integer.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59398*o + 29626*o + 29586*o.\nAnswer: -186*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4123 = -1065*o + 1198*o. Let j(w) = -w**3 - 32*w**2 - 28*w + 81. What is j(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 2.39. Let q = -0.01 - l. Let g = -1 + 0.7. What is the biggest value in 0.4, g, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077858 to 3 decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*a + 1080, -5*z - 3*a + 1350 = a. What is the highest common factor of 30 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.89436864 - -0.4943754. Let u = -1.4 - f. What is u rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-4)\/(1*-20). Let x = 0.13 + 1.47. Let w = x + -6.6. What is the smallest value in 1, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {n: 1, l: 1, v: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2024, 2078, 2180, 2354, 2624, 3014, 3548?\n\"Answer: 4*p**3 + 26*p + 1994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 44*519804\nAnswer: 22871376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 + 926 - 926. Let o(b) = 2*b**2. Determine f(o(h)).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:48 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*w - 6. Let p = 2240 + -2235. Calculate the lowest common multiple of p and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -4 + 2 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.8 * -0.26021.\nAnswer: -7.494048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -3446 - 2043. What are the prime factors of i?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(1100))**2 + 0.\nAnswer: 17595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 552282?\nAnswer: -552282.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 232, -1424, -4, 10?\nAnswer: -1424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22 - -5*12\/(-30). Calculate the greatest common divisor of 260 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-560)\/48*12\/(-14) + -6 + (-37)\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 7*z + 8. What is the least common multiple of z and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 - (-428 - (18 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -530, -15.\nAnswer: -530, -15, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18307712.\nAnswer: 2, 281, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935004295 a multiple of 1235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230241 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 980 = -380. What is the smallest value in 2\/3, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37265800259 and -367.2.\nAnswer: -37265800626.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058951579 a multiple of 2215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 16*i - 11*i**2 + 62 - 2*i**3 + 17*i - 29 to the form p + l*i**2 + v*i**3 + r*i and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279574 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11405 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let f(w) be the third derivative of -23*w**7\/1260 + w**4\/6 - w**3 - 152*w**2. Let i(p) be the second derivative of f(p). Give v(i(a)).\nAnswer: -4232*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 40*x**2 - 2*x - 1. Let l be k(-1). Let h(i) = -41 + i + l. Let z(m) = m. Give h(z(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 70. Let k(v) = v**3 - 17*v**2 + 2*v + 22. Let t be k(u). What is the least common multiple of 4 and (-4 + t\/12)*24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/323 + -12601\/646. Calculate the common denominator of 4\/9 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + -0.2. Let k be -1 + (-4)\/(48\/(-21)). Let h = 14.35 + -14.15. Sort -0.3, k, t, h in ascending order.\nAnswer: -0.3, h, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 106*d**4 + 2*d**3 - 2*d - 23. Let g(f) = -3390*f**4 - 65*f**3 + 65*f + 735. Let q(v) = 6*g(v) + 195*m(v). Find the first derivative of q(w) wrt w.\nAnswer: 1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 39 = -3*o, 0 = -2*o - 3*o - 4*s + 110. Let c be 15\/(-4) - o\/(-24). Are -3 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 6, x: 5, w: 4}. What is prob of sequence xyjw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 8*o + 4. Let j(f) = f - f - f**2 - 1 - f. Let m(c) = 4*j(c) + z(c). What is the second derivative of m(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8421 smaller than -8420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 6511.\nAnswer: 5\/6511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6 - 8\/360*78. Which is the nearest to 1? (a) 3 (b) 15 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 2:26 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2902, -574, -6360, -14450, -24838, -37518, -52484?\nAnswer: -69730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 121452040 (base 6) to base 7\nAnswer: 25520022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*l = 350, 3*k + 2*l = -104 - 106. Which is the biggest value? (a) k (b) 1\/5 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -10*z + 95. Suppose -24*o + z*j = -20*o - 39, -4*j - 12 = 0. Let r be (-2)\/(-6) - 52\/(-6). What is the greatest common divisor of r and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 2696417283157*t**2 - 4*t**3 - 2696417283157*t**2.\nAnswer: -4*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3340 and 779100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnnn when four letters picked without replacement from {h: 6, g: 2, n: 6, p: 1, f: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 128883 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 114. Is c less than or equal to -94\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -z - 33, -4*z + 8*z = -2*r + 8. Suppose -r*u = 29*u - 3510. What is the greatest common divisor of u and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55903 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let o(i) = 11231*i + 68*i**2 - 11231*i + 332*i**2. Calculate f(o(n)).\nAnswer: -800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 - (5 + -3 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 27*i + 122400 = 0. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2049130926 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -51480.5264 rounded to the nearest 100?\nAnswer: -51500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408033 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 27 = 5*h, h = -4*j - 0*j + 19. Suppose 44 = 4*m - 4*c, 0 = -j*m - c + 12 + 27. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 2*p**2 + 2*p - 6. Let l be g(4). Suppose l + 538 = 4*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a + 24 = 26*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -729 (c) 3\/8 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22328 or -22401?\nAnswer: -22328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**4*l + 186*j**3*l**3 + 17759*l**3 wrt j?\nAnswer: -12*j**3*l + 558*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2 - 7)*((0 - 1 + 0)*(2 - 6 + 0) + 2 + 1 - 1)*(-30*y + 30*y - 24*y).\nAnswer: 3024*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4349790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -51 (c) 1.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35716 and 7.\nAnswer: 250012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 108 = -51*y. Calculate the smallest common multiple of y and 7.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*y + 297 = 0, 0 = 62*y - 60*y + 2. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 + 23*s**2 + 13*s - 38. Let n(t) = -3*t**3 - 15*t**2 - 9*t + 25. Let d(k) = 5*j(k) + 8*n(k). Let l be d(6). Solve l*c + c = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g + 16*g + g - 66*g + 23*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 51 = 3*v, -5*t + 2*v = -0*v + 76. Let p be (-10)\/2*t\/35. Suppose -y - 4*m + 33 = 0, p*y - m - 26 = m. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2563942, -2563936, -2563930, -2563924?\nAnswer: -2563918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1927008 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 21*h**2 - 2*h - 31. Let b be r(-21). Suppose -95 = 3*x - b. Find the common denominator of -73\/6 and 24\/x*189\/(-636).\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 755723.8ml?\nAnswer: 755.7238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2092 and 43200323.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 64*m**2 - 30*m - 1. Let q be t(1). Suppose -2*v - w = -q, 0*v = 3*v + 4*w - 42. Solve 0 = v*y - 21*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -10*i - 50 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -208 times -1\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d = 23*d - 8*d + 160 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*u = u - 1499, 0 = -3*v + 3*u + 1500. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3613 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916249 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 16. Let q = l + 21. Let b = 16 - q. Solve -b - 6 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 217 in descending order.\nAnswer: 217, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 6*b**2 - 4*b - 2. Let m(a) = a**3 + a**2 - a - 1. Let z(f) = -f**2 + 18*f + 84. Let p be z(-4). Calculate p*m(d) + s(d).\nAnswer: -d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**2 - 5*y - 103. Let a(z) = -3*z**2 + 2*z + 34. Let p(v) = -7*a(v) - 2*n(v). Let w be p(-6). What is the highest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -32*a**2 + 8. Let z(b) = 11*b**2 + 24*b + 15. Let r(x) = 11*x**2 + 20*x + 12. Let h(d) = 6*r(d) - 5*z(d). Calculate -8*h(t) - 3*u(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 5*v + 6*v)*(v**3 - 7*v**3 + 2*v**3)*(-233 + 460 + 274) to m*v**2 + h*v**4 + u*v**3 + b + f*v and give h.\nAnswer: 4008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3 times -0.4?\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -10280517 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:03 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -12*a**3 - 2453632*a**2 - 3271472*a + 3271488 = 0.\nAnswer: -204468, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuvuuuujuj. Give prob of sequence ujjv.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6009 - -15098. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 7*y**2 + 4*y. Suppose -3*v = 3*u + u - 25, -4*v - 3*u = -38. Let t(m) = 6*m**3 - 36*m**2 - 21*m. What is v*l(o) + 2*t(o)?\nAnswer: o**3 + 5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 8. Let o = w + 79. Suppose 0 = 5*h + 25, -6*r - 3*h + o = -3*r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4438 + 0?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/30 - 13*j**2. Let v(c) = -4*c - 2*c + 4*c. Determine z(v(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 51571a (base 11) to base 12\nAnswer: 33a9b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -607325 (base 11) to base 2\nAnswer: -11101110010010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let h(s) = s**2 - 7*s + 5. Determine h(t) - 3*x(t).\nAnswer: t**2 - 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -52*o + 760. Let k be d(14). Calculate the highest common factor of 62 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 728\/11 or 360252?\nAnswer: 360252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - u = 56. Suppose -30*k + u = -28*k. Solve -3*n - k = -3*b - n, 0 = 2*b + n - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 6 + 14. Find j such that -4*j**4 + 2*j**a - 12 + 4*j**5 - 40*j + 32*j**3 - 24*j**2 + 40*j**4 + 2*j**5 = 0.\nAnswer: -3, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 236105955*w**2 + 472211925*w + 236105965.\nAnswer: -5*(w - 47221193)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -356*s**3 - 187386*s**2*z**2 - 21*z**2 - 2250088*z - 1 wrt s.\nAnswer: -1068*s**2 - 374772*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -10\/3*j**4 + 0 + 16*j**3 + 2\/15*j**5 + 1\/30*j**6 + 63*j**2 + 0*j. Factor p(s).\nAnswer: 4*(s - 2)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -737*k + 245*k + 243*k + 246*k. Let v(x) = -29*x**2 - 5*x. What is b(v(s))?\nAnswer: 87*s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7845.12 and 0.3?\nAnswer: -2353.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**5\/5 - 3*w**4\/4 + w**3\/3 + 3*w**2\/2 + 610. Factor u(g).\nAnswer: -g*(g - 1)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (10 + -17 + 88 + -76).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 17182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74 - -37 - (-21 - -15)) + 29?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784 + 1712 = 12*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55\/118 - 2\/59. Which is the nearest to o? (a) 0.5 (b) 1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116083157*u - 98122835.\nAnswer: 116083157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -923583, -1847170, -2770761, -3694356, -4617955?\n\"Answer: -2*c**2 - 923581*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 14. Suppose 0*j = 2*j - i - 16, 2*j - 4*i = 16. Let l(r) = -2*r**2 + 8 - j + r**2 - 4*r. Let s(x) = -3*x. Calculate b*s(m) + 3*l(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from bptxpxtttccx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/4 - 0)*(-18)\/(-60).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 5)*(7 + 33\/(-9)). Solve 5*w - h = 16, -4*h = -0*w + w - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0) + -7*5. Suppose 4*n = 5*p + 365, 4*n - 280 = 3*p + 91. Let y = w + n. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 535132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7461, 3, -1\/52, 1.59 in decreasing order.\nAnswer: 3, 1.59, -1\/52, -1, -7461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(252)*-3*4.\nAnswer: -288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*q + 9. Let p be (-1)\/(-3)*((5 - -7) + -21). Sort q, p, -3\/2 in ascending order.\nAnswer: q, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4175.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6564 + 5 - (1 + -4). Let g = 12261 - 4833. Let u = g + j. Round u to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10 + 170. Suppose 0*i = 3*i - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/20 - 13*d**4\/12 - 13*d**3\/6 - 14*d. Calculate the lowest common multiple of 116 and m(-12).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 174?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven fifths of a hour?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 108005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010000110010001 - -1000111011011?\nAnswer: 101011001101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -76. Solve -r + k - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -a?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 962 = 250. Suppose -10*q + 8*q = 3*b + 7, 2*b - 3*q + 9 = 0. What is the remainder when g is divided by 162\/24*(-16)\/b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 4*y + 3. Let z = 2 - 0. Let j be f(z). Solve u + 12 = 3*n + j*u, -5*u = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4897 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/8 and 43\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 11*m**2 + 10*m - 6. Let o be v(-10). Let p(k) be the first derivative of 2*k**2 + 8*k - 3748. Give p(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 14*(-3)\/(-6))\/(384\/3840).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Suppose 3*m - 8*m - 10 = 0. Let g be (m\/(-3))\/(16\/(-72)). What is the third biggest value in 1\/2, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*sqrt(20).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-12)*(-320)\/210)\/(114*11\/297)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -10*k**2 - 1916*k - 458882\/5 = 0?\nAnswer: -479\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -450.09, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 - 3*t**2\/2 + 2*t + 2. Suppose -1 = -5*n + 3*s, -12 - 2 = -n - 4*s. Calculate w(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, 10, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6128 + 9763. Let m = f - 5495. What is the units digit of -2 + m\/(-9) + (-12)\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 3*r**4\/4 - r**3\/6 + 2*r. Let k be c(2). Let d = k + -19. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156380 and 2909785?\nAnswer: 81473980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(325) - sqrt(325)))**2 - (sqrt(52)\/(sqrt(16)\/sqrt(4) + sqrt(4)) - (-2 + sqrt(52)\/sqrt(4))).\nAnswer: sqrt(13)\/2 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5 - 3*u + u + 3*u. Let b = 17 - 25. Let m be p(b). Is -2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let q(g) = 4*g + 2. Let u(w) = -3*m(w) - q(w). Suppose 2*c + 5*k + 19 = -0*k, -c - 5 = k. Let d(r) = 5*r - 5. Determine c*d(n) - 9*u(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*w - 40*w - 152 - 48*w + 134*w)*(4*w**3 - 4 + 4) to h*w + s*w**4 + x*w**2 + j + u*w**3 and give u.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 223. Suppose -3*y + 108 = -w*y. Let a = 1 - 2. Put a, -2, y in decreasing order.\nAnswer: a, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 2090*g + 440619 = 0. What is g?\nAnswer: -193, 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*z - 293 = -315, -5*r - 2*z - 7 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 146.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49088 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*g - 146 = 516. Let u(y) be the third derivative of 1\/8*y**4 + 28*y**g + 0*y + 0 + 1\/15*y**5 + 0*y**3. What is the second derivative of u(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 + 4. Let h = -5 + 0. Let r = -1 - h. Put -0.5, q, r in ascending order.\nAnswer: -0.5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -0.02 (c) -5 (d) -0.3 (e) 1171\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127\/1470 - 2\/147. Let z be (1 - 2\/3) + 44\/(-33). What is the nearest to -2 in 3\/5, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8*s + 8. Suppose -s*g + 7 = 3. Suppose -y + 89 = -g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -673\/1575 + -3\/175. What is the third biggest value in -206, -2\/5, p?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2855.4 - 4101. What is a rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.16 + -0.14. Let i = 0.3 + q. Sort -4, -0.5, i in decreasing order.\nAnswer: -0.5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/18 + f**3\/3 - 10*f**2\/3 + 3*f - 45. Factor p(a).\nAnswer: 2*(a - 2)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 61*l + 89 + 113 - 341)*(0*l - 4*l + 2*l).\nAnswer: -122*l**2 + 76*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 3*i**2 + 10*i + 12. Let n be x(-5). What is the highest common factor of n and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (43 - x**2 + 351 + 3*x**2)*(7*x**2 - 2*x + 2*x) in the form y*x + l*x**4 + g*x**2 + p + j*x**3 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -10*d + 57. Suppose 0 = 33*p - d*p - 182. Put p, -3, -1, 2 in descending order.\nAnswer: p, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -847 (c) 0.1 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9399695\/156 - 60254. What is the common denominator of x and -58\/33?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0171 - -596421.867.\nAnswer: 596421.8499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3220 divided by 46.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -55, -77, -133, -235, -395?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3 + 39\/(-15)). Suppose o + 16 = z*o. Solve -3*y - 17 = 2*y - o*p, -5 = 2*y - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:07 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d - 35. Determine r(-13).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**3 + 2*x - 50 - 2*x + 50.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2754 and 714034.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*2)\/sqrt(5) - (((sqrt(130) - (2*sqrt(130) + sqrt(130))) + sqrt(130))\/sqrt(10) - sqrt(13)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 2*f, 2*t = -3*t - 10. Solve -2*i = f*i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/((-5)\/(-3)). Let c = 6\/5 - 52\/35. What is the nearest to 0.1 in c, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - n**3 - 2*n**3 - 86*n**3 - 606*n**3 + 228*n**3 + (4 - 1 + 1)*(n**3 + 7*n**3 - 3*n**3) as v*n**2 + f + z*n + l*n**3 and give l.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/6 + 14135*y**2 + 299683202*y - 1798268836\/3 = 0.\nAnswer: -42406, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585230 and 5590.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*s + 545, -3*s = -0*q - q - 399. Let v = -133 + s. Put -1, -4, v in decreasing order.\nAnswer: v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8f (base 16) to base 10.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 - 37*f + 54. Let a be t(2). Let c(p) = -p - 1. Let y be c(-5). What is the highest common factor of a and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.96 and 143881.\nAnswer: 2152459.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2329*b**4 - 183*b**3*r - b**3 - 3340*b**2*r + 24*b - 30 wrt b?\nAnswer: -55896*b - 1098*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3 + -2)*6\/(-21)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3360 and 2208?\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1139 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12742, -25517, -38324, -51163, -64034, -76937?\n\"Answer: -16*a**2 - 12727*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((2*sqrt(60)*1)\/(sqrt(288)\/sqrt(6)))\/((-2*sqrt(7260))\/(sqrt(6) + (sqrt(96) - (sqrt(96)*2 + sqrt(96))))))**2.\nAnswer: 49\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 94*i + 75 = 91*i, -o + 5*i = -11 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9160.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*a + 12 = -2, -5*a = 4*f + 12. Let m be (-9)\/12*1*64. Let l be m\/195 - (-2)\/(-13). Is l not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22022.7 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k - 28. Let w be (-1 - -3)*k\/4. Is (-2)\/w - (-369)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 divided by -65089?\nAnswer: -291\/65089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1547206 + -316727. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - 3*g**2 + 4*g**2)*(-17*g**3 + 13*g**3 + 11*g**3).\nAnswer: -21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84779 is divided by 7879.\nAnswer: 5989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 - 126. Suppose t = g + 15. Solve -4*x + 4 = 0, -4*b + g*b + 23 = -2*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143490 * 1\nAnswer: 143490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -2 (b) -3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:17 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.211 - 3.601. Let y = 0.39 + d. Let v = y - 21. What is the second biggest value in v, 0.4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t = -14*t - 7*t + 38 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12340963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5605l to millilitres.\nAnswer: 560.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 23. What is the hundreds digit of (-20825)\/(-28) - (0 + y\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 - 211. Sort v, 3, 51 in increasing order.\nAnswer: v, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -60*a**3 - 7*a**2 - 54*a + 53. What are the prime factors of x(-8)?\nAnswer: 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.046 and -6.\nAnswer: -6.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/26 and 61\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 8*z**2 + z + 11. Calculate the remainder when 11 is divided by b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11836 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - 2*i - 7. Let q be k(-5). Let p be (2\/6)\/(q\/(-9)). Let c be (-6 - p)\/(2\/(-6)). Solve -c = 2*b + 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 1033, 3, -4.\nAnswer: -41, -4, 3, 1033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(((-400)\/(-24))\/10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 2, l: 1, o: 6, t: 1, w: 2}. Give prob of sequence oo.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d**(-2))))\/d)**(7\/8))**(-1\/46) assuming d is positive.\nAnswer: d**(7\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 50\/8)\/(159\/48). Is s smaller than -0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 36661.\nAnswer: 36660.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18630 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 4 (b) -2 (c) -0.45 (d) -2\/31 (e) -0.71 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s**2. Let w(z) = z**3 + 4*z**2 - 7*z - 6. Let x be w(2). Let k(i) be the third derivative of 4*i**2 - 1\/12*i**x + 0*i + 0 + 0*i**3. Give q(k(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s - 1 - 2*s + 3*s. Let z = 6 - 7. What are the prime factors of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -183\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14435 (base 7) in base 6?\nAnswer: 30255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -546, -1228, -2182, -3408, -4906, -6676?\n\"Answer: -136*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + 118?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*t - 306 = 0, 0 = a - 3*t - 37 - 31. Suppose -54*c = -a*c + 88. Solve 9*w + c + 16 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008233 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 50916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*h = 10*h - 236 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -143*z**3 + 65*z**2 + 65*z. Let x(m) = -9*m**3 + 4*m**2 + 4*m. Determine -4*r(k) + 65*x(k).\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = -2. Suppose -h - 3 = -0*h. Let w = h - -6. Solve -w*b + 15 = q*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, w: 3}. What is prob of picking 1 w and 2 a?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 21639803?\nAnswer: 21639803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 5*c = -28, 0 = -2*b - 5*c - 31. Let d be ((-2)\/5)\/(b*88\/30). Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.14 and -648?\nAnswer: 652.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 37 - 26)*(-25*s + 21*s + 10*s + (0 - 2*s + 0)*(1 + 2 - 1)) as m + p*s and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1*3)\/(16\/(-32)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, -79, -82, -85, -88?\n\"Answer: -3*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 - 350490*b + 30710810025 = 0?\nAnswer: 175245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 4:55 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - (-52)\/12. Suppose -d*z - 15 - 9 = 0. Let b be (z\/(-3) - 2) + 3. Solve 4*u - b = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (73*u**2 + 69*u**2 - 81*u**2)*(-4*u + 2*u + 5*u)*(-2 - 2 + 3)*(-u - 1 + 1) in the form q*u**4 + f*u**2 + a*u + j + t*u**3 and give q.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 220\/(-99) - (-4)\/18. Let x = f - -9. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*r - 76*r + 9 = 0. What are the prime factors of 745 - (0 - r) - 35\/(-7)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1079 and 242609?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1*(-6)\/2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12385801 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2515*u**3 + 1273*u**3 - 1044*u**3)*(-2 - u**2 + 2)*(-4 + 3 + 3).\nAnswer: -5488*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8720019.\nAnswer: 3, 7, 11, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -985*o - 244 + 244 - 589*o as c + u*o and give u.\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbbjbmjjjjmbmm. What is prob of sequence bjm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 177 - 156 = 2*b, 5*b - 65 = 5*f. Solve -8 = 4*h + 5*n, -5*n - 18 - b = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3210, -1030, -12554, -35010, -72046, -127310, -204450, -307114?\nAnswer: -438950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2758, 12, -5 in ascending order.\nAnswer: -2758, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.2. Let w be (6\/(-9))\/(8\/4). Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*((q\/(q*(q*q*q**(-4))\/q*q*q))\/q)\/q)\/q)**(-36)*((q**(-8)\/q)\/q)\/(q*q\/q**(9\/7)*q*q) assuming q is positive.\nAnswer: q**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-2 - (-1 - -5)) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10279 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:34 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713 and 897.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044811756 to the power of 1\/2, to the nearest integer?\nAnswer: 55180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 379 (d) 0.3 (e) -3 (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = -8. Suppose -2*i + 0*j = j - 9, -3*i + 2*j = 4. Suppose 4*g - 13 = 3*g. Solve -m*r = 2*t - 8, -i*t - g = -2*r - r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, i: 1}. Give prob of picking 1 g and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 64 = 0. Calculate the highest common divisor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(114)\/(sqrt(6)*4) + sqrt(19))**2 + sqrt(19).\nAnswer: sqrt(19) + 395\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.9 (b) -1\/10545 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (153*b**2 - 1661 + 1661)*(-b - 2*b + b).\nAnswer: -306*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 3. Let i(a) = a. Let c(s) = -2*i(s) + z(s). Let r be c(-2). What is the second smallest value in -0.5, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 889823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 1, -2, -17 in ascending order.\nAnswer: -40, -17, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(35)\/(sqrt(5) + sqrt(30)\/sqrt(6) + sqrt(5)) - (-3 + sqrt(448)))**2.\nAnswer: -46*sqrt(7) + 3820\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**2 + 15*v + 10. Let g be 2\/3 + 286\/66. Is h(g) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 82*m**2 + 90*m + 7. Let y(h) = 40*h**2 + 45*h + 4. Let v(d) = 11*y(d) - 6*z(d). What is the second derivative of v(j) wrt j?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 7*v - 16*v)*(29*v**2 + 19*v + 20*v**2 - 52*v**2).\nAnswer: 84*v**3 - 532*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 226 (b) 10 (c) -185 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1788 and 894?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:45 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2200548 - -6223149669\/2828. Calculate the common denominator of -43\/3232 and l.\nAnswer: 22624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -568*k - 22. Let n be j(9). Does 28 divide (-6)\/(-3) + n\/(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -294, -4, 3 in decreasing order.\nAnswer: 21, 3, -4, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 151?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5175, -10344, -15507, -20664, -25815, -30960, -36099?\n\"Answer: 3*f**2 - 5178*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 575756 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -375*a + 353*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 11*j + 15. Let l be s(-11). Let y = l - 11. Calculate the greatest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.12367l?\nAnswer: 57123.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16174058 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -438964, -438963, -438962, -438961, -438960, -438959?\n\"Answer: z - 438965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 95 - 231 = 0. Let g = -24 - x. Solve 6*w = 4*w - 2*u + 4, -3*w - 4*u + g = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1210, 2645, 4080?\nAnswer: 5515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-48))\/((s\/(s\/s**(7\/5))*s*s)\/s)*s**(3\/16)*s\/(s\/(s**29*s*s)) assuming s is positive.\nAnswer: s**(-1457\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*d + 967, 13*g + 12 = 9*g. Calculate the lowest common multiple of d and 2.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1049 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 52, 1\/2, -5, 1.14, 1\/3?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f = -18*f. Solve 2*a - 6 - 2 = f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/60*l**5 + 0*l**4 - 1\/105*l**7 + 0*l**3 + 3*l**2 + 0*l**6 + 0 + 0*l. Find the third derivative of o(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:51 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 715705533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/3 + 186*b**2 - 5956*b\/3 + 5360 = 0. What is b?\nAnswer: 5, 6, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 679287561 to the nearest integer?\nAnswer: 26063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(27) + sqrt(27) + sqrt(27))*-5)\/sqrt(9))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 4*a - 2. Calculate the remainder when w(6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*f - 2*m, -f + 31 = 4*f - m. Solve -3*a - 5*v + 15 = 2*a, 4*a - 5*v = -f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 130 + 20. Let i be (n\/9)\/((-4)\/6). Which is the nearest to -0.1? (a) 3 (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m**13\/m))**(1\/20) assuming m is positive.\nAnswer: 1\/sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ssssiis?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2, 5, 96 in decreasing order.\nAnswer: 96, 5, 2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7568 = 185*j - 11149 - 37893. Calculate the greatest common factor of 102 and j.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(4 - (-21)\/(-28)). Suppose 5*y - x = 119 + 76, -x + v = y. Solve 5*u + 4*c = -5, 5*c = y - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 + -4)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 397753.5 decades?\nAnswer: 3977.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 at most as big as 394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -2*w - 16. Let d = w + -25. Suppose -15*k + 10*k = -280. Calculate the highest common factor of k and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -11 - 4, -3*t - 163 = -4*w. Let z(a) = a**3 + 5*a**2 + 6*a + 2. Let h be z(-5). Let d = w + h. Solve 7*r + d = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/3 (b) -19\/17 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.6552 + 0.2848. Let u = -25 + 2. Let s = u + v. Sort s, -1\/3, 2\/15.\nAnswer: -1\/3, s, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0016 + -4.0016. What is the nearest to -1 in -1.2, 1, p, 0.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327699.\nAnswer: 3, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1620 divided by -10.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s. Let t = -83 - -86. Let r(w) = -6*w. Let a(l) = t*n(l) + 4*r(l). Let u(x) = -2*x. Determine a(u(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*c - 180 = 0. Suppose c - 6 = 6*w. Suppose 5*p + 2*l = 190, w*p - 5*l + 0*l - 119 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4, 0.24559, -0.8, 42?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, -5, 59 in descending order.\nAnswer: 59, 20, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7354538 is divided by 892?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/6 + 20*y + 7. Let n(h) = -35*h - 1. Determine n(w(m)).\nAnswer: 70*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:07 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173821378*z**3 - 173821384*z**3 + 347642774*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 10 - 5, -3*o = 3*k + 723. Let d = o - -458. Let p = d + -116. What is the greatest common divisor of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d + 269 - 2*d - 21*d + 10*d + 68*d. What is w(-8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t - 9. Let w be x(-7). What is the third derivative of -4*d**5 + 6*d**2 - 3*d**2 + 0*d**w + 2*d**5 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - u + 345 = 0, 0 = -4*k + 2*u + 2*u - 292. Let y be 2\/(-3) + k\/(-12). Suppose -6*z = -y*z - 26. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -7)*15\/(-10). Suppose -3*t = -4*h + h, -t = h - f. Suppose -t*p = -16 - 5. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.014 - 0.062. Let i = d - -192.048. Let t = 191.99999827 - i. What is t rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*d + 2040 - 2070 = 0, -2*j + 19 = d for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 + -3. Let q = 5.4 + 0.6. Let u = -3 + q. Which is the biggest value? (a) -0.2 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 - 10100?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1399 = -20*j + 10639. Solve 10*q + j = 482 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.079 - 0.179. What is the nearest to -0.1 in -4\/3, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/120 + 3*s**5\/20 + s**4\/3 - 3*s**3\/2 + 45*s**2. Calculate x(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(-16*(-6)\/864).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, m: 2, n: 1, y: 2, h: 2}. What is prob of picking 1 n, 1 y, and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6122*x + 6102*x - 200 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20679264 a multiple of 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96723156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 913 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 a, and 1 z when four letters picked without replacement from sazqvap?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*x + p, -43*x + 5*p = -46*x + 11. Let c(m) be the first derivative of 1 + 1\/2*m**2 + x*m. Find the first derivative of c(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87403 = 2*d + 2*d + 5*v, d - 2*v = 21867. Suppose -10*o + 12*o = -5*b + 36423, -2*o = 3*b - d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 42*u - 12*u)*(3 - 7 + 2)*(2 + 3 + 0) + (-4 + 5 + 1)*(4 - 7 + 1)*(-2 + 2 - 2*u).\nAnswer: -332*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - 5 + 74*b + 9*b**2 - 44*b - 13*b**2 - 2*b**4 in the form d*b**3 + j*b**2 + y + k*b + z*b**4 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 + 109 = 8*s. Let q = -29 - s. Suppose -381 = -2*v + 3*b, v - q*b + b - 189 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4204 * 6\nAnswer: -2.5224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v**2 - 114*v - 29. Determine i(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 8. Let j(c) = -22*c**2 + 16*c**2 + 7*c + 3*c**2 + 12 + c**3 - 6*c**2 + 3. Let t = -9 + 17. Let s be j(t). Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*1 - sqrt(75))**2 + sqrt(75) + 1 + (sqrt(75) - sqrt(75)*1) + -3.\nAnswer: -2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 1 = -13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z - 3*z. Let l(m) = 13*m - 235. Let u be l(18). Suppose -5*p + 50 = -5*j, -j = -p + 2*p. Put z, u, j in descending order.\nAnswer: u, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2054 + 3.18. What is i rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 - 9426*m\/11 + 1545120.\nAnswer: -2*(m - 1392)*(m + 6105)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1111278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17541, 70570, 159049, 282978, 442357, 637186?\nAnswer: 867465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39080 + -39079.941038. Round u to three dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*a - 100. Suppose 9*t - 134 = 4*t + 4*v, 3*t + 4*v - a = 0. What is the greatest common factor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 46. Let w be (-56)\/27 + j\/7. Suppose 5 = 4*t + 5*z, -2*z + 6 = 3*t + z. Is w greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b + 51*b - 11*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -434*48\/6048*-9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 124 + 424 = 0. Solve 4*l = -4*w + x + 5, -4*l - 10 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.44? (a) 0.028 (b) 15 (c) -3 (d) 1\/2 (e) -2\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 21*i**2 + 42. Let b be d(-21). Calculate the least common multiple of b\/11 + -4 + (-266)\/(-11) and 40\/4*(-1 - -2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100665 and 35?\nAnswer: 704655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/(-6)*6\/(-3). Suppose 4*r - 1 + b = 0. Calculate the smallest common multiple of r\/(-22) - 1488\/(-44) and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (213\/9 - -1)*(127 + -28). Calculate the greatest common factor of 66 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = 3*x - 4, 0 = -5*d - x + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1062 + 1060.228. What is a rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*n = -8*m - 5, 0 = -5*m + n - 5. What is the third smallest value in -2\/13, m, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11151810 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/4)\/((-7)\/(56\/(-6)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 6. Suppose -49*i + 62 = -45*i + f, 4*f + 24 = i. Suppose i*x = 14*x - 14. What is p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*x - 31 = 7*x, -5*n - 35 = 5*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-2\/7)\/(h**(-2))**(-23))**(-25) assuming h is positive.\nAnswer: h**(7950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 - 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-336)*(-6)\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/2 - 1815*c**4\/2 + 17052*c**3 + 17960*c**2 = 0?\nAnswer: -1, 0, 20, 1796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/n)**(-20\/7)*n**2*n*n**(-1)*n)**35 assuming n is positive.\nAnswer: n**705","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 23 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 4152868068 - 8305736127 + 4152868059.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -57. Suppose 14*a - 660 + 368 = 562. Calculate the remainder when a is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**2 + 167*z + 18. Let r be y(-14). Solve 0 = -r*l + 31*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.44 (b) 0.11 (c) 59 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zreeeueeueazeuuue. What is prob of picking 1 e, 1 r, and 1 a?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4 + 4*h**2 - h**3 - 2*h + 0*h**2 + 3*h + 5*h. Let a be u(5). Solve f + 3 = 2*j, j - 15 + a = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from yrkxjrxxyyx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 585*m + 1150.\nAnswer: 5*(m - 115)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*o = -256, 4*o - 2 = 3*o. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5342932683?\nAnswer: 3, 11, 23, 71, 33049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, 13, 101, -2 in descending order.\nAnswer: 101, 13, 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1540 and 2516?\nAnswer: 968660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698\/(-594)*(-22)\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 3*x + 21 = 13*y, 0 = 4*y - 4*x - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549.902ml in litres?\nAnswer: 3.549902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-12) - 106\/(-3). Let c be (-2 - 0)\/((-8)\/h). Let l(k) = -c*k - 2*k + 12*k. Let y(i) = 7*i. Calculate 6*l(x) - y(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433431538?\nAnswer: 2, 216715769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -43*d + 2. Let y(s) = -43*s. Let u(c) = 5*o(c) - 6*y(c). Let t be u(4). What is the highest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 27 = -4*i, -2638 = 2*l - 2*i - 2618 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/(-4))\/((-4389)\/798).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -370263 or -370262?\nAnswer: -370263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-10 - 14) - -6) + -24.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*-2*-3. Suppose 2*t - 2*f - 24 = -2*t, -28 = -5*t + 2*f. Suppose 0 = -m*n - 3*y + 22, t*n + y - 3 = 21. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 531\/12 - 5\/20?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0331 times -0.016263?\nAnswer: 0.0005383053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(9 - 6)*(-4)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125 and 275.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25898818 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/4)\/(t\/t**26) assuming t is positive.\nAnswer: t**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 2 - 2 + (-2 - 1 + 2)*(3 + 10*w - 3)*(-4 + 8 - 2) to z*w + i and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let u = -3 + y. Let g = u - -11. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -ae8b?\nAnswer: -ae8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-54))\/((-303)\/1818). Sort y, 5, -7 in decreasing order.\nAnswer: 5, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13*n**3 + 4*n**2 - 14*n - 32. What is b(-2)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and -0.484.\nAnswer: -0.23716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(500) - (sqrt(500) + sqrt(500)*2 + -1))**2*6.\nAnswer: -240*sqrt(5) + 12009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3678, 3683, 3688, 3693, 3698?\n\"Answer: 5*r + 3673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 8. Determine i(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -364, -398, -432, -466, -500?\n\"Answer: -34*q - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 16*n + 28. Let l be (0\/3)\/(-2) + 5. Suppose 4*m + 3*v + 2*v = 31, -5*m - l*v = -45. Let i be y(m). Solve -b = -i + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(2)*2))\/(sqrt(18)*1) + (sqrt(330)\/(-2*sqrt(6) - sqrt(6)))\/(sqrt(539) + sqrt(539) + sqrt(539)*-1 + sqrt(539)).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 35 - 25)*(b - 3*b + 3*b).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/1980 - i**5\/660 - i**3\/3 + i**2. Let p(w) be the first derivative of n(w). Factor p(f).\nAnswer: 2*f*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 34. Let s be x(-22). Suppose 16*b = 12*b + s. Suppose o = -1 + b. Calculate the greatest common divisor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1285, -4679, -10347, -18301, -28553?\nAnswer: -41115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 7*q + 11*q + 93, -6*t + 186 = q. Let m(w) = -7*w + 1. Calculate the remainder when t is divided by m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -3.747720594943?\nAnswer: 0.747720594943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 21*d + 187846*d**3 - 646971*d**3 - 25*d.\nAnswer: -459125*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 31. Let k be s(6). Suppose 2*r = 3 + k. Suppose 67 = 5*l - 2*n - 159, 2*l = r*n + 88. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3113*h - 3110*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6964 divided by 1906?\nAnswer: -3482\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -m - 1, 3*m = -5*t + 4 + 10. Suppose 3*w + o - 5 = 0, -w + 1 = 2*w + 2*o. Let d be -2 + 14*w\/6. Put -3, m, d in ascending order.\nAnswer: -3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 = 7041687*a - 7041665*a for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - -62) + (-395 - -349)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 16\/3 + 4\/3*p**3 - 8*p**2 = 0. What is p?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186 + 343. What are the prime factors of r?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 140 - 144 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/43)*a**4\/a)\/(a**(-1\/2)*a**12) assuming a is positive.\nAnswer: a**(-727\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -29. Let p be (20\/n)\/((-2)\/(-8)). Suppose -2*m - 8 = -2*z, 5*z + 3*m + 15 + p = 0. Which is the closest to -1? (a) -4\/3 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**4*t - 5*b**3*c*t - b**2*c + 1095*c*t wrt b.\nAnswer: 4*b**3*t - 15*b**2*c*t - 2*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -86. Let a(c) = 5*c**2 + 2*c + 2. Let z = -20 + 31. Let b(j) = -25*j**2 - 11*j - 11. Give f*b(m) + z*a(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/9, 1.6, -1134, 1\/3 in descending order.\nAnswer: 1.6, 1\/3, -34\/9, -1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 256*u**2 + 997*u + 561. Determine j(-124).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 = 2*z. Suppose z*x = 4*w - 237, 0*w - w + 61 = x. Let m = 39 - 15. What is the highest common factor of m and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -78 + 503. Let q be 0\/(-3) - (-3 + 1). Let y = q + u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 681?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 1. Let t(p) = b - 15 - 10*p. Let a(i) = -i - 3. Let o(m) = 3*m + 8. Let h(d) = -8*a(d) - 3*o(d). Calculate h(t(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2 - 34*k - 1 + 35*k + 2 - 3*k**2 - k**3. Let d = -9 - -5. Does 11 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*a - 918 + 258. Sort 4, a, 17, -4 in increasing order.\nAnswer: -4, 4, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -8066?\nAnswer: -8061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.0501 - 0.0501. Put 1.7, 2, m in descending order.\nAnswer: m, 2, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s + 49. Let x be i(12). Suppose 5*t - g = 4*g + x, 3*t = 2*g + 127. Let q be (t\/10 + -4)*1. What is the second smallest value in -0.6, q, -4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8584000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 92. Let a = i - 15. What is the tens digit of 75 + (12\/8)\/(3\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2 (c) 3 (d) -8056 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (68\/6)\/(4 + (-232)\/60).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/1483, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -319740*c**4 + 4335324*c**3 - 2315403*c**2 - 100656*c - 1053 = 0.\nAnswer: -3\/146, 3\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 + 136473*c**4 + 1910181*c**3 + 6685119*c**2.\nAnswer: 3*c**2*(c + 7)**2*(c + 45477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 15. Let h(t) = 4*t + 8. Let n be h(y). Let r be -3 + 1 + -4 + 2. Is n at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 + 20089438*v**3\/5 + 50448199939198*v**2\/5 + 50448179849762*v\/5.\nAnswer: 2*v*(v + 1)*(v + 5022359)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -8 + 14 + -25 - -16.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1976 - 460. Suppose -q - 79 = -11*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35352887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5887 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 15. Let p(q) = 1. Let k(d) = i(d) + 15*p(d). Let z(j) = -4*j. What is k(z(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3\/3 + 15*l**2 + 35660*l\/3 + 23700 = 0?\nAnswer: -79, -2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293093\/60 - -4885. Let q(v) be the third derivative of 8*v**2 + 0 + 5\/24*v**4 + u*v**5 + 0*v + 0*v**3. What is the second derivative of q(s) wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7442*z**4\/3 - 862052*z**3\/3 + 8297806*z**2 + 4098280*z\/3 + 168200\/3.\nAnswer: 2*(z - 58)**2*(61*z + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410385 by 753.\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-20)\/(-8)) + -1. Let d(s) = s**2 - 3. Let c(g) = 5*g**2 + g + 5. Let i(m) = 11*m**2 + 2*m + 11. Let h(w) = -9*c(w) + 4*i(w). Give b*d(a) - h(a).\nAnswer: 2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4424.754 months to centuries.\nAnswer: 3.687295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1415, 1, 2 in increasing order.\nAnswer: 1, 2, 1415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*v - 14 = 0, 4*v - 9 = v. Let j = -4 - -7. What is the remainder when d is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -895047475168?\nAnswer: 895047475174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1)\/(7\/(-15428)*-76)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -2350, -7942, -18844, -36826, -63658, -101110?\nAnswer: -150952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, 7, -1 in decreasing order.\nAnswer: 7, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128511903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 16*f - 12 + 9*f. Let d be y(1). Solve -a - 3*x = 4*a + 9, a - 4*x = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/179197 and -50\/1397.\nAnswer: 1971167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 >= 4721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91, 106, 125, 148, 175?\n\"Answer: 2*u**2 + 9*u + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 8*p - 12)*(2 - p**4 - 2) + (0*p + 3*p**2 + 0*p)*(2*p**3 - 4*p**3 + 3*p**3).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29931.\nAnswer: 3, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 218577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 1\/12*b**4 - 13 - 5\/6*b**3 + 3\/2*b**2 - 2*b. Differentiate w(l) with respect to l.\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320.86993 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -8\/9 (b) 3 (c) 0.2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:03 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:57 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -1.6. Which is the smallest value? (a) -0.5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -4\/15*z**3 - 107 + 0*z - 2\/5*z**4 + 4\/25*z**5 + 4\/5*z**2. Factor q(h).\nAnswer: 4*h*(h - 2)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1825.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3210 + -3200. Calculate the remainder when 1579 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -2*h + 35. What is the highest common divisor of 52 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(-2\/11) assuming x is positive.\nAnswer: x**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**2 - 15*j + 17. Is 10 a factor of b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 5. Let f be a(-8). Let r be (2*7)\/(f\/(-6)). Let x = 49 - r. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 6*j + 6. Let h be x(-4). Let m = h - -37. Let o(p) = 2*p + p**3 + 0*p**m - 4*p - 5*p**2 + 14 - 16. What is o(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 10) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + 4 + -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -712, -1153, -1656, -2227, -2872, -3597?\nAnswer: -4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2 + o - 4. Let y = -139 - -144. Let z(w) = 7*w**2 + w - 3. What is y*a(r) - 6*z(r)?\nAnswer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 437689 by -217.\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 + 8*n**4 + n**4 + (36 + 53*n - 36)*(-5*n + 4*n**3 + 5*n) + (-2*n**4 + 0*n**4 + n**4)*(0 - 3 + 5) - 1 - 2*n**4 + 1.\nAnswer: 211*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 36. Suppose -q*s + 27 = -3*s. Factor 10\/7*w**2 + 2\/7*w**s + 6\/7*w - 18\/7.\nAnswer: 2*(w - 1)*(w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) 4 (c) 3 (d) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-297)\/(-9262)) + 2\/(-3). Let h = 301 - p. What is the remainder when 249 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) + (-3178)\/(-126). What is the highest common divisor of 1925 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36513607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v + 4*v - 7 - 7*v + 3. Let n be (-1)\/((-22)\/10 + 2). Let b(c) = 7*c - 7. Let j = 2 + -5. Calculate j*b(p) + n*t(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c**2. Let o(n) = -11*n**2 - 10. Let j(t) = -8*t**2 - 12. Let r(b) = -5*j(b) + 6*o(b). What is r(x(p))?\nAnswer: -11466*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let q(r) = 2*r**2 - 91*r + 91*r. What is q(c(t))?\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10021100222211?\nAnswer: -10021100222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2640)\/50*10\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12051728 by -3012932.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81143258611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*r + 3)*(2 + 5 + 1 + 0 + 1 - 2 + (2 - 1 + 1)*(2 + 1 - 5)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*sqrt(190))\/(sqrt(1440)*-3).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r. What is the first derivative of 4*x**2 - 5 + r*x**2 - 3*x**2 - 4*x**2 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 - 0?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c - 6. Let w(h) = 5*h**3 + 5*h - 29. Let n(b) = -11*a(b) + 2*w(b). Let i = 0 + 0. What is the smallest common multiple of n(i) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.32 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -56. Let o = -56.3 - t. What is the closest to 2\/5 in 2\/5, -0.1, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1781385 divided by -5.\nAnswer: 356277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12*(2\/3 - 0) and (-15)\/(-135) - ((-114)\/27 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2 + 15*l - 5 + 6 + 1. Let b(t) = -287*t - 77. Let x(u) = 4*b(u) + 77*n(u). Let m(h) = -16*h**2. Calculate m(x(g)).\nAnswer: -784*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -5549361?\nAnswer: -5549364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*p**3 + 1361*p**2 + 4*p - 731942 with respect to p.\nAnswer: 42*p**2 + 2722*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/6)\/5)\/((28\/3)\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-126)\/(-8))*6\/(-20))\/((-2977)\/(-1145))\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113619032 or -113619037?\nAnswer: -113619037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001100101011010 (base 2) in base 3?\nAnswer: -12022202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -42, -61, -72, -75, -70?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 36. Let d be (-23 + 3 - b)*-1. Let z = d - -3. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1\/r)\/r)\/r)**4\/(r**(-4)*r**(4\/9)) assuming r is positive.\nAnswer: r**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770703.\nAnswer: 11, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/33*2\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 2041898644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 263962*w - 1583738. Calculate r(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 43361591435.067.\nAnswer: 43361591432.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 l, and 1 t when four letters picked without replacement from {z: 1, t: 1, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, g: 4, y: 7}. What is prob of sequence yy?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(832))**2*1 + -1*(6*((sqrt(78) - sqrt(78)*5) + sqrt(78) - sqrt(78)))\/sqrt(6).\nAnswer: -24*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -22*x + 19*x. Calculate the least common multiple of 45\/6*6\/9 and (-2)\/((-58)\/18 + x).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 13 - 10 = -205*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -221100\/13 smaller than -17008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.6 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let m(u) be the first derivative of u**3\/3 + 5*u**2\/2 - 2*u + 4. Let p be m(-6). Let b(i) = -p*i - 5*i + 3*i. Calculate b(k(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5)\/10*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -46*h**3 + 7*h**2 - 183*h - 7. Let v(u) = -31*u**3 + 5*u**2 - 122*u - 5. Let y(q) = 5*i(q) - 7*v(q). What is the second derivative of y(g) wrt g?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250 - -284. Sort -3, 3, i, 2, -4 in descending order.\nAnswer: i, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 231000 = -50*j + 82*j. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 d when four letters picked without replacement from {s: 2, d: 4, v: 10, l: 1, x: 2}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142294866.\nAnswer: 2, 3, 7, 691, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654 = 5*a + 3*x, 2*x + 464 + 200 = 5*a. Let i(l) = 136*l**2 + a*l**2 - 278*l**2. Let q(w) = -5*w. What is i(q(d))?\nAnswer: -250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -40*t - 396. Determine v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5552*t + 2*t**2 - 5533*t + 7 + 20 as b*t + k*t**2 + i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/(-195) + 372\/(-1860)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-28) - 380\/(-35). Suppose -3*i + 66 = 3*u, 0*i - i + 37 = 4*u. Suppose -4*r = -i - z. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.48 + -2.3. Let t = -2797.8231 - -2798. Let q = u - t. What is q rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 12, 0 = -2*l - 2*p + 16. Let d be (-3)\/(l\/(16\/6)). Let o be 3\/d + 33\/(-22). Put 0, 2, o in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) 0.4 (d) -1 (e) 1\/510\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/19)\/((-21)\/9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -3, 3\/4, 0.1, 2, 1281?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**34*s)\/s**(-10) assuming s is positive.\nAnswer: s**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-15) + (-7)\/(-5). Let u be 2\/(-4) + 1 - x. Sort u, 5, -5 in descending order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-4*4.\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*o - 26, -9 - 32 = -3*o - 5*m. Solve 3*j = o + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {g: 3, m: 1, o: 6, e: 5, u: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 3:16 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -293 divided by -3\nAnswer: 293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2389, -4546, -6575, -8416, -10009, -11294, -12211?\nAnswer: -12700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145 is divided by 586.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014941261 rounded to seven decimal places?\nAnswer: 0.0014941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 12*c + 7. What is r(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = -7*y - 27*y + 898 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**6)\/(b*b*b**0*b))\/(b**1)**9)**(-5))**(-1\/62) assuming b is positive.\nAnswer: b**(-25\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 89*m + 85*m = 14, 0 = -x - 4*m - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:47 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -818 - -826. Solve 5*d = -5*t, -3*t - q = -4*d - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.0291.\nAnswer: 0.00582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2972.278, -4\/9.\nAnswer: -4\/9, -0.1, 2972.278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 2067720*d**3 + 213773299920*d**2.\nAnswer: 5*d**2*(d + 206772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.189 or -15\/14?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/29 in -1\/4, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89830363 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 658*a**5 - 856*a wrt a?\nAnswer: 13160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i = 45*i + 15. Let w(n) = -2*n**2 - 2*n + 2. Give w(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33531*a*c + 4163*a + 3 wrt c.\nAnswer: 33531*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70.82 - -2.32. Round p to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + (-94)\/(-8). Suppose 5*g + 5*f + i = 62, f = 4. Suppose z + 40 = g*z. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/5)\/t**5)**(-7\/5)\/(t\/(((t\/(t\/(t*(t*t*t**(-2\/23))\/t)))\/t)\/t)*t**(2\/3)*(t*t\/(t**1\/t)*t)**(-3\/11)) assuming t is positive.\nAnswer: t**(146953\/18975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -18. Suppose y*v - 2*o - 18 = 0, 0 = -4*v - o + 15 - 4. Solve -h = 0, v*n = -5*h + 7 - 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 - 1. Let m(l) = 7631*l - 1 + 7605*l - 15234*l. What is m(r(y))?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/30 - f**4\/4 + 13*f**3\/6 + f**2 + 656. Calculate t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10111001110101001111100100?\nAnswer: 10111001110101001111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16169 = -2*i, 22*i = 4*y + 24*i - 64696. List the prime factors of y.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 + q**2 + 5. Let j(d) = -d**3 - 2. Suppose f - 8 + 1 = -4*x, 4*f = -2*x - 14. What is f*j(n) - 2*l(n)?\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5896897133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3*p - 3*p)*(-26 - 38 + 81)*(9*p - 2 - 15*p + 12*p) in the form f*p**2 + q + l*p and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4399)\/83*(24 + -23).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64451 times 143?\nAnswer: -9216493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-205)\/(-9) + -1 - (-10)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k - 25*k**3 + k**2 + 739 - 1480 + 731 - 6*k as b*k + u*k**2 + h + q*k**3 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/48 - (-6)\/(-18). Let c = -934.7 + 934.4. Put -0.18, r, c, -4 in decreasing order.\nAnswer: r, -0.18, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 - 1\/90*d**6 - 3*d + 0*d**3 - 128\/9*d**4 - 25*d**2 + 32\/45*d**5. Factor l(b).\nAnswer: -4*b*(b - 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22 and -54.78079166147.\nAnswer: -76.78079166147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*s = -2, 0*s + s = 2*k - 2. Let o(g) = -10*g + 7. Let v(p) = -7*p + 5. Let f(b) = 5*o(b) - 7*v(b). Give f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 281*q - 9353. Determine r(34).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**6\/30 + 17*l**5\/15 - 21*l**4\/2 - 54*l**3 + 11*l**2\/2 + 9*l. Let n(w) be the first derivative of f(w). Factor n(d).\nAnswer: -4*(d - 9)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rookwuoooooouoooouwk. Give prob of picking 1 u, 1 r, and 2 w.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539)*3*-1*-1 + -5))**2 + -5.\nAnswer: -210*sqrt(11) + 4871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzwwwwwzww. Give prob of sequence ww.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -18 + 2\/33*g**3 + 2\/11*g**2 + 2\/11*g. What is x in z(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**2*v**3 - r**2*v**2 - 73*r**2*v - 70568*r*v**5 - 4*r*v**2 - 53*r wrt v?\nAnswer: -6*r**2 - 4234080*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 36 = -8*j - 4*q, -2*q = -3*j + 150. Calculate the remainder when 154 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 52*f + 2*f**2 - 51*f - 3*f**2. Let u(i) = 3*i**5 - 2*i**2. Let o(s) = 6*m(s) - 3*u(s). Find the second derivative of o(j) wrt j.\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 6. Suppose -3*b = -5*t + 17, 4*t - 4*b = 12 + s. What are the prime factors of 3*-1 + 208\/(t - -1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -268.7?\nAnswer: -1074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(10\/(-150))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:30 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s*s**2*s*s*s*(s\/s**1)**(-1\/20))**35 assuming s is positive.\nAnswer: s**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/((-64)\/48) + 187\/154\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3 - 5*r**2\/2 - r + 959. Suppose 0 = -0*f + f - 4. Let b(m) = -m**2 - m + 1. Determine f*b(c) - h(c).\nAnswer: -c**2 + c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3414, -0.2, -7, -5\/4, -4\/5, -6.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 1.1 (c) 2207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 17.47\nAnswer: 0.5241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2 - 22. Let a be (88\/20 + r)*10. Factor 3\/5*y**5 + 1\/5*y**3 + 4\/5*y**a + 0*y**2 + 0*y + 0.\nAnswer: y**3*(y + 1)*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/(-6)*117\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r - 40. Let w = -1811 - -1820. Determine i(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j**2 - 3*j + 3*j)*(2*j**3 + 3*j**3 - 4*j**3) + (j**5 + j - j)*(5 - 2 - 4) + 3*j**5 + 4*j**5 - j**5)*(1 + 4 - 3).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/540156 and -53\/3420988.\nAnswer: 10262964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-9 - -7 - -18) + (321 - 270)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147229465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 329 + 346 = 2*b, b - 4*o - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1218095, -2436188, -3654281, -4872374?\n\"Answer: -1218093*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 9*h**2 + 4*h - 6. What is k(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 3*k**4 + 2*k**4 + (-k + 0*k + 0*k)*(1 - 3 + 4 + (-1 + 0 - 1)*(-15 + 7 - 6) + 3 - 4 + 0)*(-3*k**2 - 5 + 5)*(-3*k + 6*k + 2*k).\nAnswer: 434*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 38. Let r be h(15). Let p(j) = 2*j + 10 + r*j**2 - 8 - 1. Calculate p(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*f - 24, -m - m = -4*f - 14. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112703.\nAnswer: 43, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*g + 213*g = 588*g - 11704 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154075 or -154217?\nAnswer: -154075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1638288, 1638302, 1638316, 1638330, 1638344?\nAnswer: 1638358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3684?\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {k: 1, q: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204.082 litres to millilitres.\nAnswer: 204082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.327 and 35762337?\nAnswer: 35762338.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 88 = 0. Let n be z + (-3 - -9) + -4. Suppose -7 = -k + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1047\/20 - -56093\/1080. Find the common denominator of b and -133\/1944.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + 62 + -67 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1915125 and 12375?\nAnswer: 63199125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -0*y - y - 4*b, -34 = -y + b. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1248 - 135?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, j: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*i + 21, -2*i + 5*i = 4*o + 3. Let w(d) = d**2 - 2. Let q be w(o). Let f = -5 + q. Solve 2*z = -f*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.303451? (a) 1\/10 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -1\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*j - 1940 + 301 - 776 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 37. Let r(k) be the first derivative of 12*k**2 - 184*k - 4770. Determine 14*a(o) - 3*r(o).\nAnswer: -2*o + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 2. Let c(n) = -n**3 - 5*n**2 + 5*n - 12. Let l be c(-6). Calculate i(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 422 - 421.999999609. Round u to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/12828 and -43\/17104?\nAnswer: 51312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g + 10. Let k(f) = -38*f - 22. Calculate -3*k(b) - 7*n(b).\nAnswer: -19*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 + 87. Let d(k) = 2*k + 33. Calculate the remainder when d(y) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1172654 + -544305. Let y = -628349.349981 + z. Let a = y + 0.35. What is a rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20*r**2 - 4*r - 5. Let s be h(-1). Let f(v) = v**3 - 15*v**2 - 11*v + 14. Is f(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 - 454*j + 5947. Determine u(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3685c (base 15) in base 10?\nAnswer: -174012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - 1) - (-15)\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12100020 (base 3) in base 7?\nAnswer: 14232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 147800711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 87?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4*m**2 + 3*m**2 - 5*m**2 + (-6*m**2 + 2*m**2 + 3*m**2)*(0 - 2 + 1) + 3*m**2 + m**2 - 3*m**2 to the form q*m**2 + p + n*m and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10 - 8\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/112 + t**7\/210 + 17*t**6\/30 + 13*t**5 + t**4\/12 + 5382*t**2. What is the third derivative of b(c) wrt c?\nAnswer: 180*c**2 + 24*c + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38305116 by 27.\nAnswer: 1418708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-9)\/(-63))\/((-6)\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 7, 24, 59, 118, 207, 332, 499?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 5*c**2 - 8055744815686 + 8055744815686.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:47 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 1988 = -2*p - 10*p - 2438 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, -5, 6, 5, -14, 4 in descending order.\nAnswer: 6, 5, 4, -5, -14, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 42. Let h = -9 - -21. Calculate the lowest common multiple of h and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 45 = 12. What is the third derivative of 3*f - 141*f**3 - 6*f**2 - h*f - 16*f**2 - 38*f**2 wrt f?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 3, u: 9, x: 7}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**3 + 6*w**2 + 60*w + 26. Give x(-4).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1578762 and 137\/108.\nAnswer: 9472572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -394\/83 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4413431 + 3?\nAnswer: -4413425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 197872519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.53 * -1078.\nAnswer: -1649.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4970*q**2. Let c(o) = -2*o - 6. Give m(c(l)).\nAnswer: 19880*l**2 + 119280*l + 178920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -2.37. Let s = -2.9 - z. Which is the fourth smallest value? (a) 2 (b) 4 (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 58095*v - 3*v**2 + 58090*v + 1155 + 0*v**2.\nAnswer: v**2 - 5*v + 1155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*r**3 - 2*j**3*r**2 + 2*j*r**3 + 2*r**3 + 19*r**2 wrt j?\nAnswer: -18*j*r**3 - 12*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.603 - -4937.397. Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**7\/1260 + b**5\/180 - 26*b**3\/3 + 67. Let y(d) be the third derivative of q(d). Factor y(l).\nAnswer: -2*l*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/7)\/5 - 811296\/9072.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414862752 divided by 96?\nAnswer: 4321487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/21)\/(k*k\/(k\/k**(-2))*k) assuming k is positive.\nAnswer: k**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 35 = 3*j, -2*j + 48 = 4*a - 2. Let s(d) = -d**3 - 13*d**2 + 2*d - 121. What is the remainder when s(-14) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 3*w + 3. Let b(q) = 0*q - 6 + 0*q**2 - q**2 - 6*q. Let i be b(-4). Let j be u(i). Sort -1, j, -5.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886\/322*28*11\/132?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*108\/360?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + ab?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*j - 377 = -1639 - 1130 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4172*f + 4124*f + 662 - 38 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(130) - 1*sqrt(130))*-1 - sqrt(130)) + 5*1*sqrt(130)))\/(-6*sqrt(80)\/(sqrt(8)*2)*3).\nAnswer: 20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8145733, 16291471, 24437209?\n\"Answer: 8145738*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-10)*(-30)\/4. Let d(g) = g + 24. Let z be 4\/(-18) - (-2)\/9. Let b be d(z). What is the greatest common factor of b and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**2*y**5 + 15893*u**2*y - 10*u*y**2 + 369272*y**6 wrt y?\nAnswer: -120*u**2*y**2 + 44312640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012828301 to six dps.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + -1.3. Let i = -1 + d. What is the third smallest value in -5, -0.02, i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -18, 17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = 4*p, -3*t + 0*p + 2*p = -3. Suppose -232 = -5*x + a + 3*a, 5*x - 238 = a. Calculate the highest common factor of x and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 545922399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 71 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x. Calculate the remainder when 31 is divided by w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)\/n*n*n\/(n**(1\/12)*n*n)*(n**(-3))**5)**(-1\/9) assuming n is positive.\nAnswer: n**(1387\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (1 - 1) + -2. Let a = -1 + 4. Suppose 4*k + 0*k + f = 10, k + a*f = 8. Solve -y - u = k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b - 2*b + 2.\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000580309583 rounded to 6 dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13.23698*0.2\nAnswer: 2.647396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 15*t + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*6)**2 + -3.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 15) + -13 - (0 - -2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -36. Let s = 21 - f. Is s greater than -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 2*h**3 + 4*h**3 + (-5*h**2 + 3*h**2 + 0*h**2)*(4*h - h - 5*h) - 2*h**3 + 0*h**3 + 3*h**3 + 4735*h**2 - 4735*h**2 + 123*h**3.\nAnswer: 129*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:19 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 171\/(-9) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3029 divide 47388705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine fifths of a meter?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-11 + 2 - -3 - (-41 - -12))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -3. Let d = -41.2 + m. Let a = d - -40. What is the nearest to 0 in 3, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 379117 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426998 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10858 + -962c?\nAnswer: 4229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/7, 2\/5, 2, 51.\nAnswer: 2\/5, 2, 38\/7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 7*u**5 + (-3 + 2*u**2 + 3)*(-u**3 + 2*u - 2*u) + 4 - 4 - u**5 + 1 - 2*u**5 - 1 + 5*u**5 - 4*u**5 - 10*u**5.\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -537451*m**3*x - m**3 - 7*m*x - 37277*m wrt m.\nAnswer: -3224706*m*x - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 110*b + 21. Let j be d(3). What is the greatest common factor of 39 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*q + 11 = -1, -o - 6 = -3*q. Let g(r) = 2*r**2 - 28*r + 98. Let v be g(o). Factor v*p**4 + 0 + p**2 + 0*p + 1\/2*p**5 + 5\/2*p**3.\nAnswer: p**2*(p + 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 244?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*s + 16 = 4, 2*s - 3 = -i. Suppose 5*m + 3901 = 4*w, -2*w = i*m + 894 + 1429. Let l = -535 - m. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 17 = n, -2*n = 13*p - 8*p - 32. What is the remainder when 313 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 - 5*x**2 - x**2)*(-2 - 3 - 7)*(0*x + 2*x + 0*x) + x**3 - 4*x**3 + x**3 as t*x + o*x**2 + h + l*x**3 and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:26 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 72*m + 49700.\nAnswer: -(m - 710)*(m + 350)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 4*p - 7. Let a be o(0). Is 7 a factor of -4 + (-855)\/(-35) + (-4)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8472 and 24368296.\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/5 - 7219*w**4\/5 - 1334343*w**3\/5 + 8201079*w**2\/5 - 12399156*w\/5 = 0. Calculate w.\nAnswer: -7029, -196, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(88) + 3*-2*sqrt(88))\/(sqrt(72)*-1))*5.\nAnswer: -25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 115 = -5*w. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) 1 (c) -1070 (d) 318 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 4. Let p be m(-6). Suppose 0 = p*c - 47 + 11. Solve r = -5*v + c, 3*r - 2*v + 7*v = 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -111, -1071, -3721, -8907, -17475, -30271, -48141?\n\"Answer: -141*o**3 + o**2 + 24*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-30)\/(-27)*-3)\/(54\/(-25191)) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538422\/41 equal to 86303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -2 - -2) + 9. What is the third derivative of 151*c**6 + g*c**3 + 100*c**2 + 4*c**3 + 68*c**2 - 13*c**3 wrt c?\nAnswer: 18120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 - 6*g**2 - 22*g - 49. Calculate p(-4).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-42))\/((-3)\/(-198)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/7 + 18*y**4\/7 + 52*y**3\/7 + 68*y**2\/7 + 6*y + 10\/7.\nAnswer: 2*(y + 1)**4*(y + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.3 + 13.3. Let h = -98 - -98. Suppose -6 = 5*c - 1. What is the closest to h in i, c, 59?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, 0.3, 1281.9368, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5. Let i = k - 3. Let q(y) = -4*y + 3. Let p(j) = -j + 1. What is i*q(h) + 6*p(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5 - 2*k - 11 to the form s*k + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 8. Let m be y - (2 - (4 + 3)). Let s be m\/(-21) + (-9)\/(-7). Let k(h) = -2*h**2 - 2*h - 1. Let a(x) = -x**2. Determine s*k(n) - 4*a(n).\nAnswer: 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.05 - 0.05. Let d = -16270224.999994 - -16270247. Let s = v - d. Round s to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t - 9. Let d be k(6). Suppose d*l - 492 = -3*h, 4*h - 502 = -3*l + 3*h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142*33109.7\nAnswer: 4701577.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - n + 2620, -3*p + 30*n + 2624 = 32*n. Calculate the greatest common factor of 16 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, 79, 0, -4, -17, -16 in decreasing order.\nAnswer: 79, 15, 0, -4, -5, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4)\/(258\/1376).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -784*w**2. Let r(z) = -1473*z - 7. Give r(h(u)).\nAnswer: 1154832*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/12*(112 - 108))\/((-2)\/(-4)). Let f = 0.03 - -0.03. Put f, -0.3, i in decreasing order.\nAnswer: i, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 847 - 844. Which is the nearest to 0.1? (a) 13\/3 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 3*z, 9 = 2*z - 3*h + 6*h. Suppose -2 = -2*p, -p - 4*p + z = -2*q. Let c = 0 + q. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -19 and -38279\/1964 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 9*w + 8. Let u be c(-4). Solve -13 = 3*i + 5*q, 0 = u*i - 6*i - q - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-393)\/131)\/(10\/2))*2\/(-745)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*s = 647*s - 4004 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2580\/86) - 72\/(-310)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 + 5 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-28) + 17\/4. Let j be (-112)\/q*500\/8. Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8*q**(-9) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let v(c) = -c**2 + 5*c - 6. Let s = 840 + -227. Suppose 10*t + 503 = s. Give t*y(b) + 2*v(b).\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2 + 1 + 0 + u - 1 + 7*u**2. Let f be t(-2). Suppose -2*z - 2 = z - 4*i, -2*z - f = 4*i. Let y(w) = w**2 + 7*w + 9. Determine y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799837.\nAnswer: 13, 138449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 45 = -13*z. Suppose -v - 5*o + 1954 = 0, -v + z*o + 663 + 1281 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c + 208. Let l be s(-2). Solve -l = 5*q - y - 218, -q = y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 2:39 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 55*o**2 + 6*o + 11. Let y(h) = 11*h**2 + 109*h + 2. Let p(a) = -22*a**2 - 200*a - 4. Let l(b) = -6*p(b) - 11*y(b). Determine 11*l(g) - 2*m(g).\nAnswer: 11*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 5858048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63700536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/40, 0.5, -4, 0.1, 45\/7, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(23\/5)\/(s**(-2)\/s**3))\/(s**(-1\/7)\/(s*s**(-5)))**(-11\/8) assuming s is positive.\nAnswer: s**(4173\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*((-7020)\/(-91))\/(-18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.73 in -5, 0.12, 17, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1256)\/(-156) + (1600\/975)\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000714694 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-4 + (sqrt(833) - sqrt(833)*-2) + sqrt(833) - sqrt(833) - (-4 + -2*sqrt(833)))*2)**2 + 1).\nAnswer: 333204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 15 = 0. Let x = 11 - 6. Suppose -4*s = -r - 66, -64 = -x*s + t*r + 26. What is the least common multiple of s and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 18. Suppose x = 3*m + b - 2*b - 35, -2*b - 18 = -2*m. Suppose -4*d + 81 = 3*q + m, -3*q - 58 = -5*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252271\/2 + 142256. Let m be (((-24)\/18)\/(-1))\/((-70)\/846062). Let o = m + q. Find the common denominator of 29\/24 and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46758 is divided by 1670.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -13*k**2\/2 - 154. Let m(c) = 7*c**2 + 2. Determine m(r(a)).\nAnswer: 1183*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 9:07 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 1, y: 2, x: 3}. Give prob of sequence yxwy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/404 and -151\/120.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000624 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(-5) - 10\/2. Let t(c) = -4*c**3 + 20*c**2 - 15*c + 4. List the prime factors of t(d).\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557210937 to the power of 1\/2, to the nearest integer?\nAnswer: 23605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102312 (base 4) to base 6.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + sqrt(1331)*1)*2*6)**2.\nAnswer: 766656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 17*v**2 + 17*v + 23. Let i be a(18). Suppose i*s + 29 - 79 = 0. Suppose -3*b + 22 = -b. Calculate the lowest common multiple of b and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40778\/9 + -4524. Let i be (-47)\/5 + (-6)\/(-15). Find the common denominator of b and ((-37)\/3)\/((-21)\/i).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -3 (c) 1\/5 (d) 2\/5 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.336395l?\nAnswer: 4336.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1497*r + 215*r + 26922 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5166096 divided by -245.\nAnswer: -5166096\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2) + 2 + 1. Suppose -t + m*t = 0. Solve -c - 12 = 4*j - 3*c, t = c + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxgg. Give prob of sequence gxxg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -3*g**4\/4 + 5*g**2\/2 - g. Let s(u) be the first derivative of 0*u**2 + 8\/3*u**3 - 4*u - 156. Calculate 5*k(l) + 6*s(l).\nAnswer: 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 985 - 984.73. Which is the third biggest value? (a) r (b) -1\/8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 64 - 4. Solve -f = -p + 2*p + 1, 2*f - s = 5*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + (-14 - 2) + 19 + -2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-110)\/80)*(-2)\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49627025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 186 (c) -102 (d) 39\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279829184 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 15) in base 5?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3434 is divided by 650.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1005.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*10*(-2)\/5. Find the second derivative of g*z - 4*z**3 - 14*z + z**3 - 2*z**3 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/221900 and -57\/630830?\nAnswer: 44158100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 + 160. Suppose o*a = 34*a - 91. Let h(b) = b**2 - 4*b. What is h(a)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28443*w**2 + 16 + 9 - 8 + 28444*w**2 to the form i*w + p + o*w**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and -0.0811.\nAnswer: -17.0811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 246122461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -481, -526, -573, -622, -673, -726, -781?\n\"Answer: -f**2 - 42*f - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4 + 0 - 4*d**3 + 5*d - 7*d to t*d + h*d**2 + i + k*d**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 3*z + 28. Let w be f(7). Sort w, 4, 101.\nAnswer: w, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 23 + 35 + 65)*(3 + 2*m - 3 + (-4 + 5 - 2)*(-m + 0*m - 3*m) - m + 5 - 5).\nAnswer: 460*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 255 = -7*z. Let y = z - -139. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = 17. Let q = -169 - -189. Let o = q + w. What is the remainder when 39 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/3 - 16555003*m - 49665008\/3 = 0.\nAnswer: -49665008, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4775 divided by -955.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 929429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447750.4 months in millennia?\nAnswer: 203.9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 424 + 475 = -11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8)*(-256)\/192*3*-1. What is the highest common divisor of r and 2083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = -89*x - m + 36626, -2*x + 2*m + 24412 = 0. What are the prime factors of x?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - 8 + 8)*(-1 - 2*p - 2*p - 1) in the form a*p + u + o*p**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(2\/3)*j)\/j*j)**(-22)\/(j**0)**3)\/(j**(1\/10)*((j*j**(-8))\/j)\/j)**10 assuming j is positive.\nAnswer: j**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(133) - (6*1*sqrt(133) + sqrt(133))) + -2*(sqrt(133)*1 - sqrt(133)) + sqrt(133)))\/(3*-4*sqrt(175)*2))**2*-1.\nAnswer: -475\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 81606?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 10212120101121100?\nAnswer: -10212120101121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x**5\/17 + 512*x**4\/17 - 7634*x**3\/17 + 12448*x**2\/17 + 7608*x\/17 - 12960\/17 = 0. Calculate x.\nAnswer: -30, -1, 1, 2, 108\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8915582g?\nAnswer: 891558.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = w + 2*w + c, 0 = -4*w + c + 7. Suppose 3*s - w*q - q = 23, 5*s + 5*q = 85. What is the derivative of 13*g**2 + 6*g**4 - s*g**2 - 3 + 5*g**4 wrt g?\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8841.\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uju when three letters picked without replacement from {j: 4, u: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111011000010 + 100110001?\nAnswer: -1011110110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 548*h + 3307. Let m be f(-6). Solve -m*q - 4*q + 46 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3565)\/(-1209) - (-2 + 8)*1\/2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 34*j**3 + 12032*j**2 - 1415*j + 312. Calculate z(-354).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 3\/684982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (5 - 3) + (-2 - -1). Let n(g) = g + 4 - o*g - 11 - 6*g. Let l(v) = 6*v + 6. Determine -6*l(p) - 5*n(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 28. Give g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**2 - 23*h**6 + 13*h**2 - h + h wrt h?\nAnswer: -2760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 + 40*z**4\/7 - 23357*z**3\/7 - 382334*z**2\/7 + 523444*z\/7 - 117800\/7 = 0. Calculate z.\nAnswer: -50, -19, 2\/7, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12747913*f**3 - 47366*f**2 + 23683*f - 94732. Let y(x) = 2153*x**3 - 8*x**2 + 4*x - 16. Determine 4*k(m) - 23683*y(m).\nAnswer: 2153*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64837521 divided by -7\nAnswer: 9262503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -8, 4\/3, -677108?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 72 = -2*t, y - 17 = 3*t. Calculate the remainder when 54 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.012 - 32.012. Let q = 32.14 + z. Let m = 0.139977 - q. Round m to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z. Let h(u) = -2*u**3 - 8*u**2 + 5*u + 5. Give 5*b(x) + h(x).\nAnswer: -2*x**3 - 3*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 13. Let z be 0\/(1\/(1\/j)). Suppose 13*u - 143 = -78. Solve z*w - u*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -22076?\nAnswer: 22072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrry when four letters picked without replacement from {r: 3, o: 12, x: 1, y: 2, s: 1}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -73.\nAnswer: 14\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -20\/69749597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17230*d**2 - 18978?\nAnswer: 34460*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r + 3645 + 3647 - 7280 as w + k*r and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95.8 + -145. Let f = y + 56. Let l = f - 7. Which is the closest to -0.01? (a) -0.3 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 5*sqrt(66)*-3 + -1*sqrt(66)*-6)\/(sqrt(162)\/sqrt(3) - (sqrt(6) - -6*sqrt(6)*-6)).\nAnswer: -4*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*d + 6*d + 22 - 2, -443*p + 5*d = 291 + 127 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(242)*2 - -6*(sqrt(242) + -3) - (5 + 2 + (sqrt(242)*3 - sqrt(242)) + 3))**2.\nAnswer: -3696*sqrt(2) + 9496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-55) + 12\/5. Suppose 3*r - 3*t = t + 444, -3*r - u*t = -426. Suppose 2*f + 5*j = r, 4*j - 22 = -6. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215590*q*v**3 + 10995030*q*v - 19*v**4 wrt v?\nAnswer: -1293540*q*v - 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 i when four letters picked without replacement from {i: 3, o: 8, e: 2, c: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 60. Sort m, -2, 8 in descending order.\nAnswer: 8, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.3 - 1.3. Let h = -44 + a. Is h not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202102, -202103, -202104, -202105, -202106, -202107?\nAnswer: -202108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 10) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 21 = -3*s, -u + 3*s + 19 - 4 = 0. Suppose p - 3*f - 7 = 0, -2*f - 9 = -3*p + u*f. Is p\/1 + (-7)\/((-7)\/97) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 + 69 - (3 + (-1 + 4 - 11))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26344, -205293, -691020, -1636915, -3196368, -5522769, -8769508, -13089975?\nAnswer: -18637560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270692?\nAnswer: 2, 31, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - (-2)\/5. Let b(n) = -1 - n + 0*n + y*n. Let l be 6\/14 + 54\/84*4. What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 3, l: 6, p: 2, f: 4}. Give prob of sequence cfjj.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-4))\/(25\/20). Suppose 0 = 2*f - 0*f. Suppose f = -4*i - 0*i - 8. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285582 <= 5285582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 2. Let g be f(-2). What is the tens digit of ((-10)\/(-3) + g)*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 29675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75344?\nAnswer: 2, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = x + 2*z, -14 = -x - 10*z + 7*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-39)\/(-1573))*(120\/(-12))\/5?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) - (-16)\/3. Calculate the lowest common multiple of 2*d*(-12)\/(-20) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/20905 and 107\/54.\nAnswer: 1128870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1440443 - 1?\nAnswer: 1440442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -2.7. Let s = 33 - 33.26. Let r = s - -0.06. Which is the closest to r? (a) -0.3 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/8 - 3*i**5\/35 + 29*i**4\/56 + 3*i**3\/7 + 2*i**2 - 59*i. What is z in y(z) = 0?\nAnswer: -1, -1\/5, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661404077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlal when four letters picked without replacement from fjqlqllqqlalqaja?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w - 27. Which is greater: -51\/2 or w?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((14\/(-42))\/(2\/(-4))). Solve -5*w = -2*w + v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 - 11 = -4*h, a = 4*h. Suppose 168 = 3*f + a*o, -f - 3*f = 3*o - 224. Suppose -f = -18*n + 17*n. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/3)\/((-2)\/(-6)). Let c be 2*1 + 9 + -12. Let v = c - d. Calculate the remainder when 6 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 + 7?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/((-650)\/(-45))*40\/6. Calculate the highest common divisor of 172 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679732 is divided by 79.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1320*h**2*q + 3*h**2 + 952 wrt q.\nAnswer: -1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1267032 - -0.2762.\nAnswer: 1267032.2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 + 10 = 0. Let x = -7 + 13. Suppose 3*k + 0*n - 4 = n, 0 = 2*k + n - x. Calculate the remainder when k is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*l**2 - 11*l**3 - 2*l - 2*l**2 + 14*l**3 as b*l**3 + r*l**2 + v*l + h and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 36. Let a be i(-8). Let q be (15 - 12)\/(2 - (-22)\/a). Solve -15 = 5*w, -w = -3*f - 2*w - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4788 divide 525430332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6058 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2436208 - -2436197.000024. Let q = 0.03 + 10.97. Let o = q + i. What is o rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {w: 7, r: 11, u: 1}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/15)\/(-4))\/((-14)\/((-2800)\/12)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - k**3 + k**2 - 2*k**4 - 4 - 3*k + 3 + 3 as a*k**2 + u*k**3 + b + l*k + h*k**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 407*0.11\nAnswer: 44.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -15. Suppose -l = 2*g - 8. Suppose g*k - 10*k = -21. Let b(s) = -s**3 + 2*s**2 + 3*s + 4. Give b(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 1\/3, -0.4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(32)\/(sqrt(36)\/sqrt(9))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*l - 415*l + 52 = -48 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 706, 696, 690, 688, 690, 696, 706?\n\"Answer: 2*c**2 - 16*c + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 96*c**2 - 63*c**2 + 118*c**2 + 4*c.\nAnswer: 151*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6448 and 14976.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -5*i - 295*n + 291*n, 28*i + 36 = -4*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7575, 15913, 24255, 32601, 40951, 49305, 57663?\n\"Answer: 2*y**2 + 8332*y - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -0*h - 4*h. Let u(c) = -31*c + 2. Calculate the remainder when u(-2) is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 33 + 4006*f + 15 - 4068*f. Let v be u(-8). Calculate the highest common factor of v and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17719, 17721, 17723?\nAnswer: 17725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-26\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 103. Suppose 0 = -3*k + y - 12. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 63 + 46 + 18*n**2 - n - 2*n**3 + 3*n**3. Let g be c(-17). Suppose 0 = 5*u - u. Solve 2*q - m = -g*m + 7, -2*q - m - 3 = u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335066 minus -5?\nAnswer: -1335061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 3 - 4) + -12. Let t = -6 - -2. Let y = t - q. Solve 3*o = -3, 7*l + 4*o + y = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68316)\/62623)\/(32\/33)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1482 - 1475 + 2*z**3 - 16*z - 20*z + 31*z. Calculate x(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121 - 120. Factor 1\/2*y**2 - n - 1\/2*y.\nAnswer: (y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 14 - 2 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3452\/11 - -314. Factor 4\/11*l**2 - 2\/11*l**4 + 0 - f*l**3 + 0*l.\nAnswer: -2*l**2*(l - 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14520381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 10*q**2 - 1. Let g be d(10). Sort -2, -31, g in ascending order.\nAnswer: -31, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(7\/(-1008)*8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585 = -w - 6*i - 678, -5*w = -3*i - 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 9 = 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + -490. Let v = -366 - k. Sort v, 0, 16 in decreasing order.\nAnswer: 16, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 3 - -9)*(-38)\/(-133). Solve -3*g = -h*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*j - 32, -3*j - 2*v = -7 - 2. Suppose 13 = 5*q + 3*s, 7*q = 4*q - j*s + 11. Find the common denominator of -121\/20 and ((-69)\/12)\/(11\/q).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97924939 rounded to four dps?\nAnswer: -0.9792","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46588 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32305 and 3692?\nAnswer: 129220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 40\/32 - 7355\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -118 + 106 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3970863.65 rounded to the nearest one thousand?\nAnswer: -3971000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 7*l - 15. Let u be t(5). Let g be (-132)\/(-63) + -1 + 0 + -1. What is the biggest value in g, u, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251525113 (base 6) in base 12?\nAnswer: 1759799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702.6079 kilograms to nanograms.\nAnswer: 702607900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.026 + 9.526. Let o be (-1)\/4*16\/14. Which is the closest to o? (a) -3 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 10, p: 1, k: 9}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = 4*u - 24, -3*q = -u + 18. Suppose 2*t - 6 = -2. Does 6 divide (t\/3)\/(q\/(-75))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1274081 and 20423.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 850*a - 826*a + 2917*a as r + k*a and give k.\nAnswer: 2941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 2. Give p(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72840 greater than or equal to 72841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10281*l**2 + 5010*l**2 + 5268*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -418108, -836199, -1254288, -1672375, -2090460, -2508543?\n\"Answer: c**2 - 418094*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 23*h**2 - 31*h - 54. What is i(-23)?\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 2 t when four letters picked without replacement from {h: 2, t: 3, q: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10098 divided by -561.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - p**2)*(-1 - 2*p + 1) - 3*p**3 + 2*p**3 + 0*p**3)*(3*p**2 - 4*p**2 + 0*p**2).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/29, -0.061, 0.3 in increasing order.\nAnswer: -2\/9, -0.061, 2\/29, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2001, -1, 10, 17 in descending order.\nAnswer: 17, 10, -1, -2001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -0*v + 5*v. What is the lowest common multiple of v and (-9)\/(-6)*(-8)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxgguuuggguggggugu. What is prob of sequence gu?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.52684 weeks to microseconds.\nAnswer: 30558632832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1279*v**2 + 634*v**2 - 11*v**3 + 644*v**2 + 114*v**3.\nAnswer: 103*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7816, -14916, -22016, -29116, -36216?\nAnswer: -43316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7)*12\/(-18)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111.852 + -115. Let d = 0.048 + m. Let r = 0.9 - d. Which is the nearest to 0.3? (a) -1 (b) r (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622 divided by 4.\nAnswer: -311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5052 = -21*r + 15*r. Let b = r + -458. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t - 111. Let d = 0 + 2. Suppose -x = d - 15. Calculate the remainder when t is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - -1) + 3 + 2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:49 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.341246 seconds to hours.\nAnswer: 0.024539235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1177.4 - 1177.373123. Round h to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 10*4\/(-8). Suppose d = -5*y + 19. Suppose -5*z = 13*z - 126. What is the smallest common multiple of z and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 6*p + 30600. Round p to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*2\/12)\/2. Suppose z = 3*x + 4*b + 41550020, x = -0*x + 3*b - 13849985. What is x rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/24 - 11*h**2. Let r(j) be the second derivative of 15*j**4\/2 - 38*j. Calculate y(r(w)).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4 - 16*r**2 + 4 - 3 + r**3. Let h be y(16). Which is the closest to -2\/5? (a) 0.4 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*h + 8, 3*l - 4*l = 2*h + 7. Suppose p = -3*s + 10, 2*s - l*p + 2 = -3*s. Find the second derivative of 6*r + 3*r**2 - s*r**2 + 4*r**2 wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 29 - (-52 + -42 + 95).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 174*x - 135. Let m(l) = 80*l - 68. Let f(a) = -13*m(a) + 6*z(a). Let d(s) = -10*s**2. Give f(d(u)).\nAnswer: -40*u**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1488. Let t be m(0). Suppose h - t = 4*h. Let v = h + 827. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 18. Let i be -1*(5 - 2) + 6. Let a be c(i). Suppose -d - 5 = 0, 4*d + 26 = a*t - t. Solve -t*g - 12 = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64728815*d**4 - 4468590 wrt d?\nAnswer: 258915260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -49*q + 53*q - 11, 3 = q. Which is the nearest to -1? (a) k (b) -0.1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 110*m - 42. Let d be j(37). Let b(s) = -2*s**2 + 22*s + 87. Let l be b(d). Which is smaller: l or -69?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k + 45068 = 4*f + 31*k, f - 3*k - 11267 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1655*t - 1663*t + 56 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78, -144, -212, -282, -354, -428, -504?\n\"Answer: -q**2 - 63*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + (-138 - 3). Is -142 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 minutes before 2:23 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -2586066 divided by 61573?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045868079?\nAnswer: 3, 348622693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nxnpxxnnnpx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -52, -392, -1, -15 in descending order.\nAnswer: -1, -3, -15, -52, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let l(x) be the first derivative of -29*x**3\/3 + 15. Give l(t(q)).\nAnswer: -116*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f - 4*f**4 - 18 + 18 wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330309 (base 10) to base 4\nAnswer: -1100221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*y - 0*c + 56, 6 = y - 2*c. Let o be 4\/y + 6\/(-15). Let j = -1032 + 1033. Sort j, o, 4, 3 in increasing order.\nAnswer: o, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -19*k**4\/24 - 133*k**3\/3 - k**2 - 6. What is the tens digit of c(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*c**2 + 3 - 6*c**6 + 28*c**2 - 3 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12069593\/1736 - -48670\/7. Find the common denominator of 125\/12 and g.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*y**2 + 175*y**2 - 80*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)**(-49))**(-28)*(t*t**1)**(-15\/11)*(t\/t**(-1))**24 assuming t is positive.\nAnswer: t**(15590\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 - -273. Let q = -15 - -40. Suppose -2*u + x = 2*u - 4*k, u = -k + q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Calculate the greatest common divisor of 24 and 13704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 16. What is the nearest to 0 in -5, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1603 and -2409454.471.\nAnswer: -2411057.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 + 234 - 944 + 240 + 56625*t + 235)*(-3*t - t + 3*t).\nAnswer: -56625*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -0.6. Let y = z - 1.9. Let c = -0.043 - -3.043. What is the nearest to 0.1 in c, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1391, -7122, -17209, -31658, -50475?\n\"Answer: -p**3 - 2172*p**2 + 792*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - 13*u + 5. Let p be 3*(-4)\/(-6) - -4. What is the remainder when d(p) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - p = -90, -26 = -3*a - 5*p + 28. Calculate the smallest common multiple of 27 and (-22)\/3*-3*a\/12.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17380.\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -2. Let g be (-4 - -6)*177\/118. Put g, o, -13, 4 in decreasing order.\nAnswer: 4, g, o, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2, -0.09, -0.3, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(3\/10)*p*p)\/p)**(-2\/97)\/((p\/(p**(6\/5)*p)*p*p*p*p)\/p)**(-21))**(-2\/57) assuming p is positive.\nAnswer: p**(-7328\/5529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((2*sqrt(308))\/sqrt(11))\/(sqrt(484)*-2) - (-3 + (sqrt(84) - (sqrt(84) + sqrt(84) + -3*((-1*sqrt(84) - sqrt(84)) + sqrt(84))))\/sqrt(12))).\nAnswer: -2 + 43*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*l + 19 + 21, 5 = l. Which is the fourth smallest value? (a) -0.1 (b) j (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -18. Solve 3 = 5*l + w, g*l + w - 5*w - 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64577.\nAnswer: 64577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136.9 + -101.1. Let f = -927 - -851.6. Let j = t + f. What is j rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 27*o - 13. Let r be z(-36). Suppose -281*i = -279*i - 624. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1088 by -68.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12\/36)\/(1\/3768)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - 203?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 12 + -5 - (-2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113\/162 + -5\/162. Let o = -0.6 + 0.7. What is the third smallest value in o, v, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 3. Let v(j) = 5*j**2 + 74*j - 1716. Let y(h) = -6*q(h) + v(h). Differentiate y(u) wrt u.\nAnswer: -14*u + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 394932310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-24))\/((-66)\/54)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.103, 3\/7, 0.286, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n - n)*(0*n**3 - 3*n**3 + 5*n**3) - 6*n**4 - 6*n**4 - n**4 as c + x*n**4 + a*n + s*n**2 + j*n**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2*s)**(-12\/11))**(-1\/30)\/(((s*s**(-3\/4))\/s)**43)**(-3\/10) assuming s is positive.\nAnswer: s**(-4193\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, 0, -4, -2 in decreasing order.\nAnswer: 456, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 + (3 - 2)*-1. Let s be 18 + 8\/h*-3. Is (s + 3)\/((-3)\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1939560*r**2 - 33*r + 80809 wrt r?\nAnswer: -3879120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 8:28 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169.5 + 169. Which is the smallest value? (a) -6 (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -34 - ((24 - 7) + 117 - 2).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2627 + -2623. Let v = 0.09 + -0.1. Which is the second biggest value? (a) j (b) v (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 3*m - 3*m. Suppose -u + 1 = -1. Let y(r) = 0*r**2 + 3*r**u - 4*r**2. What is l(y(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(3 + (4 + -3*sqrt(1088) - sqrt(1088) - (-5*(1 + sqrt(1088)) + sqrt(1088)))**2))*-3.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3673289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.88 - 1.88. Let r = -81.9 + c. Let g = r - -5.36. Round g to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, -1 in descending order.\nAnswer: 18, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -16. Suppose 0 = -x + 5, -5*y - f*x - 27 = 13. Let q be (-152 - -2)\/(y\/(-140000)). Round q to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.841 + 30.7. Let y = a + 0.341. Let j = 6 + -6. What is the closest to j in y, -2\/5, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6900621 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49244 and -637435.9.\nAnswer: -686679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69 + 242?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - u**2 - 6. What is b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194664.\nAnswer: 2, 3, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9646 - -9741.47. Let m = l + -96. Let y = -0.03 - m. Which is the nearest to 0? (a) 7 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 1 + (-2 - -4). Suppose 0 = 7*s - i*s + 4. Suppose -s*y + 3 = -5. Solve h = y*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:33 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**5\/25 - t**3\/5 + t**2\/5 + 4. Solve i(b) = 0 for b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2. Let y(m) = -1223449*m**2. Determine i(y(z)).\nAnswer: -2993654911202*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34628 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2 + 15460*p\/3 - 1718\/3.\nAnswer: 2*(p + 859)*(9*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 60241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/24 - y**5\/3 - 5*y**4\/6 - 26*y**2. Factor l(i).\nAnswer: -5*i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 y when three letters picked without replacement from nssyskkkqks.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1134 - -2?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 7*h - 20. Let f = 1 - h. Let s be (0 - f) + (-1 - -2). Sort -1, 0, s in increasing order.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -984, -1447, -1920, -2409, -2920, -3459, -4032?\n\"Answer: -s**3 + s**2 - 459*s - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -7. Let p = k + -4. Suppose -a = 5*w + 9, -3*a = -3*w - 8*a - 1. Sort w, -1, p in increasing order.\nAnswer: p, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10484342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - 30\/6 - (-5)\/2)*8. Suppose 0 = -3*w - c + 813 - 245, -4*w = 3*c - 754. What is the highest common divisor of i and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 9*v. Let h be j(9). Suppose h = 2*l + 8, -3*x + 45 = -4*l - 31. Suppose -c = 3*c - x. Solve 0 = 3*g + c*y - 14, 6 = -g + 2*g + 2*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31 + 31 + 3*c**2 - 13*c**3 wrt c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1393, -1391, -1389, -1387, -1385?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 8. Let m be y(-6). Let d be m\/8*-4 - 0. List the prime factors of d\/(2 - 72\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 228 + 40. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 28. Let u(i) = -6*i. Determine u(n(a)).\nAnswer: -6*a + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 435257788 and 36.\nAnswer: 3917320092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603501559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5\/5 + 111*b**4\/5 + 411*b**3\/5 + 501*b**2\/5 + 198*b\/5 = 0.\nAnswer: -33, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*m**3 - m**4 + 57*m**2 + 0*m**4 + 156*m**2 wrt m.\nAnswer: -24*m - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 31 + 139. Let z = 0.34 - 0.04. Let i = 2289.9 - 2290. Put b, i, z in ascending order.\nAnswer: b, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-312)*8 - (-7835*(-8)\/8840 + -7)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5522404337?\nAnswer: 7823, 705919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 248618, 994476, 2237574, 3977912?\n\"Answer: 248620*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9049, 9037, 9035, 9055, 9109, 9209, 9367?\nAnswer: 9595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2678 = -36*z + 23*z. Let g = z - -193. Let p(o) = -o**2 - 14*o - 16. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:07 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 1. Let z be t(2). Let f be 0 - z - -1*1. Let h(c) = 3*c**2 - c**2 + c**f. Let s(o) = -o**2. Determine s(h(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -3\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 4*b - 30 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1309 - -653. Let a = g + 679. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 - 7*c - 6. Let m(l) = l**2 - l - 1. Give 6*m(d) - z(d).\nAnswer: -3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 25 + 51 - 17*g as i + q*g and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - (-4386)\/(-153))\/(4\/(-42) + 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*t - 3*d, -1 + 21 = 5*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323105852*w**3 - 124167863*w**2 wrt w?\nAnswer: 1938635112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**7\/35 - m**6\/30 + 6*m**5\/5 + 6*m**4 + 32*m**3\/3 + 3*m**2 + 5. Find b such that f(b) = 0.\nAnswer: -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -1\/7 (c) 2 (d) -2 (e) 4\/369 (f) 0.081\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74 (b) 2\/3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*s + 16 = -s, -2*m - 8 = -2*s. Let b be 0*3\/(-9) - m. Suppose -16*w + 15*w + 141 = b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161124 * -7.39\nAnswer: 1190706.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)*d)**(-4) assuming d is positive.\nAnswer: d**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5 - 60*l**4 - 81*l**3 + 366*l**2 + 276*l - 504 = 0.\nAnswer: -2, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + -1 + 1 + 1. Let v = 12 + p. Solve v*t + 4 - 13 = 3*l, 0 = 5*l + 2*t + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150890818.\nAnswer: 2, 13, 19, 281, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1297 + -1312. Put 12, k, 3 in descending order.\nAnswer: 12, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 + 458*s + 2340 = 0 for s.\nAnswer: -5, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x - 2. Let v(z) = -z**3 - z**2 + 2*z + 3. Let i be v(-2). What are the prime factors of t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6175385039 to the nearest integer?\nAnswer: 78584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -411 - -608. Let v = 118 - b. Let z = -66 - v. Calculate the lowest common multiple of 1 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -375*l + 12806. Give y(36).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 13*q + 5*w + 7 = 0, 5*w = 2*q - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-12)\/7)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 301712197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 85*t**2 + 49*t + 147. Determine k(-42).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + h + 9. Let a be q(-3). Let s(r) = r**3 + r**2 + 2. Let p be s(-2). Let w be (-2)\/(-3 - (p + 0)). Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1044134 - -1104?\nAnswer: 1100243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17371.71954ms to weeks.\nAnswer: 0.00002872308125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 23*u - 84 - 120 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196977355*r - 77335765?\nAnswer: -196977355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93.5 + -88.47. Let f = 0.03 - t. Put -1, -81, f in descending order.\nAnswer: -1, f, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4247, -8566, -13019, -17672, -22591, -27842, -33491?\nAnswer: -39604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 4*u + 4. Let v(d) be the second derivative of 5*d**4\/12 + 3*d**3\/2 + 9*d**2\/2 - 3*d. Give -9*c(s) + 4*v(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 - -6529\/24. Is r greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/114*1)\/(19\/57). Let k = 140\/247 - t. Factor -k*r**2 - 2\/13*r**3 + 0 - 4\/13*r.\nAnswer: -2*r*(r + 1)*(r + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-1))\/(6\/210). Let t = u + 757. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 129?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 3*b + 4*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -o*b + 1500000 = -4*b. Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(880) + sqrt(880) - sqrt(880) - sqrt(880))*-4)\/(sqrt(35)\/(sqrt(7)*3)*-6).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/28 and -157\/900.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 + 7*q**2 + 4*q + 5. Let b be z(-2). Let r(h) = h**3 + 3*h**2 - 2*h. Determine r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4)*x\/x**(2\/7))**40)**(-47) assuming x is positive.\nAnswer: x**(-75200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) -23 (c) 16 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322000 and 10500.\nAnswer: 966000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*r**4\/15 + 1282*r**3\/15 + 2834*r**2\/15 + 382*r\/3 + 112\/5 = 0. What is r?\nAnswer: -56, -1, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 31662975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-303)\/45 - (-9)\/(-15) and -11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28180\/11 - -2562. Find r, given that 6\/11*r + 0 - m*r**3 - 4\/11*r**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -1, 0.35?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 85164569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/24)\/((-11)\/(-66)) - 6. Let p(n) = -n - 11. Let y be p(-7). Let a = y + 6. Solve a*w - 9 + x = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496449 is divided by 1507?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -219, -212, -193, -156, -95, -4, 123?\n\"Answer: q**3 - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.493, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhsjssdhj. Give prob of picking 1 d and 1 s.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4634 - 10.5366. Sort z, -0.2, 14\/23 in decreasing order.\nAnswer: 14\/23, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329 and 6744923?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**3 - 8*j**2 + 549*j wrt j.\nAnswer: -108*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6993\/(-5439)*(-777)\/(-18)*(-1)\/(-3)\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -46. Suppose -h = -9*i - 4. Solve 0*n - i*n = 2*b + 8, -3*b = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115610 is divided by 3660.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-8))\/((180\/32)\/(-15))*-4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*n**3 - 15*n + 29389*n**2 - 1 - 29389*n**2.\nAnswer: 115*n**3 - 15*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, -2, 3, 31, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -27*b + 193. Let w be f(7). Put -26, -4, w in decreasing order.\nAnswer: w, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + w - 6, 0 = -k - 9*w + 7*w - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298659*n + 49165*n - 47020*n.\nAnswer: -296514*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1270009814309 - 23.\nAnswer: 1270009814286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -905, -2044, -3649, -5726, -8281?\nAnswer: -11320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3082.2 - 3082. Which is the third smallest value? (a) 14 (b) t (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233715509985 take away -61.2?\nAnswer: 233715510046.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -232?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = 80. Calculate the remainder when 110 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 13*s + 82 = 0, 626*l - 19 = 627*l - 3*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326 - 326. Let d(v) be the third derivative of 0*v**3 + g*v**4 + 0*v + 1\/30*v**5 + 0 + 2*v**2. Let h(c) = 8*c. Determine d(h(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, -49\/3, -5\/4, -0.3 in ascending order.\nAnswer: -49\/3, -5\/4, -0.3, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -11 + (-20 - -54) - (-100 + -2).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10881 and 35\/10881.\nAnswer: 10881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/70)\/(12\/(-28)). Let o = 1.22 - 0.22. Let i = 8.78 + 0.22. Which is the smallest value? (a) o (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15980.000017073 - 15980. Round j to seven dps.\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-121)\/14 - (-37)\/(703\/152) and (286\/(-35))\/((-24)\/(-10))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0*i + 0 - 1\/10*i**5 - 4\/315*i**7 - 4*i**2 + 11\/180*i**6 + 1\/9*i**3 + 1\/36*i**4. Determine u so that h(u) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88315831 to the nearest 10000.\nAnswer: 88320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 41*p**5\/10 - p**4\/3 - p**3\/2 + 5*p**2 + 87*p. What are the prime factors of l(2)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -11 + 15 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42598 and 122018.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-252)\/27)\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - z)*(-z**3 - z + z) - 4*z**4 + 0*z**4 - 7*z**4 to the form h*z**2 + b*z + t*z**3 + s + f*z**4 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104739 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*10 + -3. Solve -4*i + 5*m + h = m, 0 = i - 4*m - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/12 - 2*u**3\/3 - u**2\/2 - 2*u. What is the units digit of n(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13373 + 13373 + 1276*s**2 to the form f*s + n + q*s**2 and give q.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m + 0*m**2 - 3\/5*m**5 + 15\/4*m**4 + 0*m**3 - 14. Suppose x(y) = 0. What is y?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let s(n) = 3*n - 2. Let v be s(2). Put 1, p, v in decreasing order.\nAnswer: v, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349 + 548. Suppose 3*l + 5*y - 600 = 4*y, 0 = -3*l - 4*y + 591. Let z = w + l. Round z to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let o(p) = -396*p. What is z(o(n))?\nAnswer: 792*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32107 and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -46165.68.\nAnswer: 46165.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 363\/7165 or 0?\nAnswer: 363\/7165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a factor of 3909255672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**2 + 2*a**2 + a**2)*(12*a**2 - 13*a**2 - 14*a**2) - 66 - 225*a**4 + 66 as p*a**4 + b + m*a**3 + r*a**2 + g*a and give p.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 3*y**3 + 44*y**2 + 31*y**3 + 11*y**4 - 7*y**4 = 0. What is y?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 - 392*x**2 - 5 + 2 + 59*x**2.\nAnswer: -318*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95 + 107370?\nAnswer: 107369.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 + 377*n**3\/3 + 2292*n + 1126. Differentiate b(q) with respect to q.\nAnswer: -3*q**2 + 754*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9426146 or 9426145?\nAnswer: 9426146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51859.\nAnswer: 51859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 217 times 28.4\nAnswer: 6162.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17565751 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6344, -40 in increasing order.\nAnswer: -40, 0, 6344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30547 is divided by 147?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*a**3 + 332*a**2 - 1580*a - 416.\nAnswer: -4*(a - 13)*(a - 8)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 98 = 0. Calculate the smallest common multiple of 5 and 46\/14 + (-14)\/y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(660))\/sqrt(12))\/(-1*sqrt(891)).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18460376 and 3.\nAnswer: -55381128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1650847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 4*y + 2. Let z be j(5). Which is the nearest to -0.1? (a) -1\/8 (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 13*z**2 + 10*z + 3. Let y be u(-12). What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -119. Let j(u) = -499*u - 13. What are the prime factors of j(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 5 (d) -10356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17805348 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 51 + 28)*(-1 - 1 + 3)*(-17 + 38 - 3*v + 2) as m + w*v and give m.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j**3 + 2*j**2 + 2*j + 1. Let q be c(-1). Suppose -a = -q + 1. What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*x - 5*x. Let o = -0.2 - -0.1. What is the second biggest value in x, o, -2\/21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + z - 1. Let j be f(1). Let q(t) = -t**3 + 6*t**2 - 5*t - 1. Let a be q(5). Is ((-220)\/(-16))\/(a\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1252450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 67*v - 34. Let j be q(15). Let i = j - 52. List the prime factors of i.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 734583311*t**2*v**2 + 7*t*v**2 + 25*t*v + 735*t - 230 wrt t?\nAnswer: 1469166622*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60904, -3, 1.\nAnswer: -3, 1, 60904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-96))\/(3\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:44 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x**2 + 4*x - 425. Determine u(-14).\nAnswer: 1675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -19744*u**2 - 31*u - 51. Let l(i) = -6581*i**2 - 11*i - 18. Calculate -17*l(c) + 6*p(c).\nAnswer: -6587*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - ((4 - 4) + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 1783 = 4*d + 2*c, -4*d + 3*c + 1793 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*c + 5*k - 14, -3*k + 1 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/6*-3*(-93676)\/33.\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1.618. Let n = -0.218 + t. What is the closest to -5\/4 in -0.3, n, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45104*h**2 + 9*h**4 + 0*h**3 - 44986*h**2 + 6*h**3 wrt h.\nAnswer: 216*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 7, j: 3, t: 2, y: 1, e: 4}. Give prob of picking 1 j and 1 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2 - ((-10428)\/(-7110))\/(328\/(-114)))*-10?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Let u be o(-3). Suppose -7 + 3 = -3*a - b, -2*b - 10 = 0. Find the third derivative of -2*l**2 + 4*l**a - u*l**3 - l**3 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1574 - -1574. Solve -13*g + 69 + 22 = i for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 166716.3 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - sqrt(672)*1) + 1*sqrt(378) + sqrt(378))*3)\/(2*sqrt(36)\/(4*sqrt(6)*1)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13cc0 (base 13) in base 9?\nAnswer: 56184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -372295.2 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383 - 11 + 89*o - 174*o + 91 + 84*o.\nAnswer: -o + 463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -10. Let g = j - 9. Let x = 4361 + -4366. Which is the third biggest value? (a) -0.4 (b) -1.9 (c) x (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*j + 5*j - j)*(-4*j**3 - 2*j**3 + 3*j**3) + 35*j**4 + 94*j**4 + 37*j**4 in the form s*j**2 + z*j + n*j**3 + h*j**4 + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -103?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 11. Suppose 0 = 4*o - 9*o + 145. Suppose o = 4*w - 23. Let t be f(w). What is the greatest common divisor of 120 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -3)*16 - 4. Is j <= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 + 2) - (-2464 - -2478)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4757 by 1.\nAnswer: -4757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/24 + i**3 + 9*i**2. Let l be ((-8)\/(-24))\/((-1)\/(-15)). Give t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 34, 4\/9, 0.3, -1\/4, -1.\nAnswer: -1, -1\/4, 0.3, 4\/9, 1.6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from uqpck.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32336779*c**3 + 46*c + 32336602*c**3 - 46*c.\nAnswer: -177*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 194078 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 8. Let v(c) = 144*c. Determine v(u(i)).\nAnswer: 144*i + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -46. Is (o + 7)*-1*141\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, r: 18}. Give prob of sequence rkr.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*x - 384 - 1354 = 1682 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3082 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 210 in 8, 1\/9, -4, -1\/5, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2820)\/(-14))\/((-87)\/(-10150)). What is p rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13180757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, 0*j + 5*j - 3*h - 15 = 0. Let s(y) = y**2 - 3. What is the remainder when -17*(-2)\/(-4)*-2 is divided by s(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 1537 = -6697. Calculate the greatest common factor of 86 and q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1 - 2*f + 0 + 2*f - f. Let t(i) = -i + 1. Give 4*t(x) - 5*y(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. What is the lowest common multiple of b and 1 + (-3)\/((-15)\/25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l - 1. List the prime factors of f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 take away 54.7539?\nAnswer: -54.9639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-357.55\nAnswer: 35.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 35 = -b, -b - 13 - 17 = 4*u. Let a(p) = -56*p - 105. What are the prime factors of a(b)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1 - -3) + 0) - (0 - 15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1478 + 1477. Which is smaller: -965 or m?\nAnswer: -965","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/4 + 73205*g**2\/4 + 66959690*g - 201043815.\nAnswer: 5*(g - 3)*(g + 7322)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 969404113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1\/3574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/30*2\/(-4)*-2946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let i(o) = 4*o**2 + 19. Give i(s(g)).\nAnswer: 16*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (155*x**2 + 61*x**2 + 34*x**2)*(-1 + 13 - 6 + x) as u + f*x + n*x**2 + y*x**3 and give y.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -3, 10 in decreasing order.\nAnswer: 10, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from wwwxxxxxxbrwwxxx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243 and 758159676.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361 + 380. Suppose -2*u + 5 + p = 4*s, -4*s + 3*u = -14. Solve -s*b + 3*t = -2*t + 15, 5*t - 7 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 9*l**2 + 5. Let p be 1\/2 + 4\/(-8). Suppose 2*t = -p*t + 4, 22 = 2*j + t. What is the least common multiple of j and g(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-5 + 4 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*p**3 - 40*p**2.\nAnswer: 5*p**2*(15*p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325831 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 21 + -3 + -36.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 g when three letters picked without replacement from ggpggppgpppp?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 981, 579, 177, -225?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 12 - 37 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 761130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1537, 3 in decreasing order.\nAnswer: 1537, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 = 7*n + 285. Let r = n - -355. Let f = -112 + r. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = 4*y - 5*a, -3*y + 3*a + 255 = -6*y. Let g = y + 575\/7. Factor g*k**2 + 3\/7*k + 0.\nAnswer: k*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:24 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 147)\/(4\/(-16) - 0). Let q = -546 + d. What is the remainder when 392 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11849, -7782, -3715, 352?\nAnswer: 4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 393865 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**5\/20 - 19*i**4\/12 - 3*i**3 - 13*i**2 + 566*i. Calculate d(-18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n + 40. Let x(v) = -2*v - 8. Let y(p) = 2*q(p) + 11*x(p). Let s be 3\/2 - (-272)\/(-32). What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 1515*f - 4590.\nAnswer: 5*(f - 3)*(f + 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 71*c + 142 = 0. Let t(u) = 115*u**2 - 339*u**2 + 115*u**c + 115*u**2. Let n(v) be the second derivative of 7*v**3\/6 - v. Calculate t(n(l)).\nAnswer: 294*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 198 + 62 + -149?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*q**2\/5 + 5482*q\/5 - 666432\/5.\nAnswer: -(q - 288)*(11*q - 2314)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p**3 - 2 + 2)*(7*p**2 + p**2 - 2*p**2).\nAnswer: -6*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-3\/4))*g)\/g**(2\/5))\/(g*g**1\/g)**(-3\/2) assuming g is positive.\nAnswer: g**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1119058, 2238099, 3357140, 4476181?\nAnswer: 5595222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 + 25*d**2 - 2*d - 9*d**2 - 4*d**2.\nAnswer: 30*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112100202 - -12?\nAnswer: 112100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/15, 19, -377, -1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -333424?\nAnswer: -333424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12552677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 - 6*s**2 - 3*s**2 + 10*s**2 - 3.\nAnswer: 19*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 9*c**2 + (3 + 4 - 3)*(-2*c**2 - 5*c + 5*c) in the form v*c**2 + r*c + f and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -223424249 to the nearest 10000.\nAnswer: -223420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -20. Is 0.6 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45858.\nAnswer: 2, 3, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - n**2 + 3*n + 2*n + 2*n**4 - 2 - n**4 to the form u*n**2 + v*n + p + z*n**3 + j*n**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-44)\/(-4) - 4. Let f be (-4)\/3*w\/(-36). Factor k + 1\/3*k**3 + f + k**2.\nAnswer: (k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbbbbbbhbbbhhbbhh. Give prob of picking 2 b and 1 h.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 249*m - 524. Let d(n) = 70*n**2 - 3485*n - 7335. Let q(k) = -6*d(k) + 85*g(k). Factor q(z).\nAnswer: 5*(z - 53)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*r - 8120, -1600 = 16*h - 17*h + 5*r. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 40461018?\nAnswer: -40461016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 4 - 16*m**3 + 2 + (1 - 2 + 2)*(3*m**3 + 0*m**3 - 4*m**3).\nAnswer: -14*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24700)\/(-67925) + (-939)\/132.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-1 - 3) + (-1)\/10*-48)*-20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4308854*i**3 + 2207943*i**2.\nAnswer: 25853124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91970 + 19673 - 79659 = -54*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8997 = 8*w + 385*w + 823 - 3616 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 4, q: 1}. Give prob of picking 1 t and 1 z.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 - -5.7. Let u = -11 - -16. Sort 0.5, -0.4, u, v in descending order.\nAnswer: u, 0.5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 = -2*z, -3*z + 0*k + 30 = -3*k. Suppose 0*w + z = -5*w, w = -5*c + 9. Solve c*l + l = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8822 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10069 is divided by 190?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/54)\/19*30\/(-115)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/10 - 2*(1 + -2))\/((-133526)\/(-333815)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -9. Let l = v + -53. Let i = 323\/7 + l. Sort -2\/11, i, -0.4 in descending order.\nAnswer: i, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/i**(-4))\/i)*i*i)\/i**5)\/((i**(2\/13)*i)\/((i**4\/i)\/i)))\/(i**(2\/7)\/i**6*i**(-1\/4)\/i**(3\/4)) assuming i is positive.\nAnswer: i**(142\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -165. Let q = g - 129. Put q, 20, -1 in decreasing order.\nAnswer: 20, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 + 47 - 16909*q - 51 in the form b + t*q and give t.\nAnswer: -16909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 519704.9 millennia?\nAnswer: 6236458800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:42 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9768, -5, -146\/37 in ascending order.\nAnswer: -5, -146\/37, 9768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (304 - 290) + (0 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:53 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**2*j**3 + 12*c**2*j + 17*c**2 + 277*c*j**5 wrt j.\nAnswer: 30*c**2*j + 5540*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 245\/77 + 2\/(-11). Let o(r) = -3*r**2 + 2*r + 1. Let a = 65 - 63. Let h(b) = -5*b**2 - 6*b**2 + 18*b**2 - 3*b - 3*b**2. Determine a*h(v) + d*o(v).\nAnswer: -v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h**3 + 1)*(0 + 11 + 6)*(h + 0 + 0 + (-2 - 1 + 1)*(-2*h - 3*h + 2*h)).\nAnswer: 119*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(100)\/(sqrt(50)\/sqrt(5))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387073889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6743, 13509, 20289, 27083, 33891, 40713, 47549?\nAnswer: 54399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5 + 218*q**4 - 670*q**3 + 230*q**2 + 668*q - 448 = 0.\nAnswer: -112, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7*g = -8*g + 27, 3*g - 46 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1117, -2236, -3355, -4474?\nAnswer: -5593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*x - 14, 3*x + 39*l + 27 = 34*l. Let z(f) be the first derivative of f**2 - 1. Give z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.29, -0.1, 1\/8.\nAnswer: -1\/8, -0.1, 1\/8, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:44 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 110533, 110475, 110417, 110359, 110301?\n\"Answer: -58*a + 110591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 724 and 5?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2812605206 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*s - 2. Suppose w = -s + 3. Let y = 26 - 17. Calculate the lowest common multiple of y and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30533082 times 0.5\nAnswer: 15266541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-141)\/(-27) + -5 - (-10)\/(-99). Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5558*n - 5747*n + 11309*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1988 and 995064.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by 7\nAnswer: 193\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308733?\nAnswer: 11, 13, 29, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2600 and -17\/30.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77288739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/27*6\/(-4). Suppose -n*r + 24 = r. What is the remainder when 29 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 686 - -214. What is the remainder when (138\/345)\/(2\/w) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.072 - -0.04. Let t = s - -10.888. Let k = 17 - t. What is the second smallest value in -5, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8545 + -495118\nAnswer: -503663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 3 (c) -51 (d) -2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/10)\/(324\/912). Let n = -8\/45 - p. Factor 2 + n*m**2 + 8\/3*m.\nAnswer: 2*(m + 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*h**4 - 687795248*h**3 + 1031692824*h**2 - 515846404*h + 85974400.\nAnswer: 4*(h - 21493600)*(2*h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*t**2 - 356*t**2 - 175*t**2 + 157*t**2 - 438*t**2 to the form o + u*t + h*t**2 and give h.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 - 5648\/(-480))*6 + (-7)\/(-1). Put 14, -2\/13, w, -4 in descending order.\nAnswer: 14, -2\/13, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2218 and 150585565?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26623319*a**3*b - 6*a**3 - 2*a**2 - 2497*a + 5224*b - 2 wrt a?\nAnswer: -159739914*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r - 114. Let o be u(13). Solve -c = 3*h, -4*h - 4 - o = -c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m, 2 = -4*h + m - 2*m. Find the common denominator of h - 0 - 763\/(-84) and -19\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 76*l**2 + 11*l. Is 13 a factor of g(78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or 19?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33462 - 18?\nAnswer: -3347a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*a + 20 = -215*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7170*f**3*h**4 + 5*f**3 - 971*f**2 + 3*f*h**4 + 2*f with respect to h.\nAnswer: -28680*f**3*h**3 + 12*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342941994 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {d: 2, x: 4, r: 4, h: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*sqrt(637)*-2)**2.\nAnswer: 40768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus -0.0717?\nAnswer: -14.9283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c + 693*c - 298*c - 303*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140962.\nAnswer: 2, 70481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 take away -1?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let a be t(-5). Suppose a*v + 10 = -5, 90 = 3*w - 4*v. What is the highest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -22*s. Let a(f) = 310*f**2 - 9*f + 27. Let i(o) = 77*o**2 - 2*o + 6. Let q(y) = 2*a(y) - 9*i(y). Give q(u(p)).\nAnswer: -35332*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - -0.1. Let w = -119.521 + 118.521. Put -1\/3, w, i, -3 in descending order.\nAnswer: i, -1\/3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/2100 + 79*i**6\/600 + 6697*i**5\/600 + 1501*i**4\/10 + 4332*i**3\/5 - 12*i**2 - 205. Determine t, given that o(t) = 0.\nAnswer: -76, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -35*s**2 - 3*s - 2. Let h be u(-2). Let z = h + 200. Let p = -32 + z. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 3726086?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.880939 meters in micrometers?\nAnswer: 4880939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 23 - 44 + 780*z.\nAnswer: 780*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ernnzmn. Give prob of sequence nrzm.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(30\/50)*27\/30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(96\/2400).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2959*h + 5854*h - 2889*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-110) + 19\/(-95). Suppose -2*u + u + 4 = 0. Let q = 8319\/4 + -2079. Which is the nearest to 1? (a) u (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -32 + (52 - 31) - -15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 3*p + 3*p - 7*p**3 + 7*p**3 - 4*p**5 + (-2 + 2*p**4 + 2)*(3*p + 2*p - 7*p) + 2*p**5 + 0*p**4 + 0*p**4.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33090 - 33093. Which is the fourth biggest value? (a) -13 (b) m (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101.6891 and -6.1.\nAnswer: 620.30351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**6\/1140 - 7*a**5\/570 + a**2 + 7*a + 44. Factor u(w).\nAnswer: 2*w**2*(w - 7)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114128 by 28532.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q. Let j(o) = o**2 - 2*o + 1. What is the lowest common multiple of q + ((-12)\/(-3) - 1) and j(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecxcweewteexccqqe. Give prob of picking 1 c and 1 e.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 20*m**3 + 2*m**2 - m**2.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6, m: 1, s: 4, v: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0410020775 take away 1459.43?\nAnswer: -1459.3889979225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1052 - 1059\/7364. Let v = 0.28 - -0.02. What is the third biggest value in -2\/9, o, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1756003 and 6097.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 327*k + 19040 = -323*k, -47582 = -5*t - k. What is the highest common divisor of t and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*m**2 + 142 - 137 - 3*m**2)*(0*m + 0*m - m**2).\nAnswer: 22*m**4 - 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r + 220 = 54 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 s when four letters picked without replacement from uwuswsusuwuuuusuwus?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77862?\nAnswer: 2, 3, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113077 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, y: 3, l: 4, u: 4}. Give prob of sequence lplp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17174720.\nAnswer: 2, 5, 191, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 26 - 42. Suppose -62 = -9*x - k. Solve x*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -676 - 1\/8*n**3 + 51\/4*n**2 - 312*n = 0.\nAnswer: -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g**2 - g**2)*(-27 + 27 + 15*g**2) + (g + 5 - 5)*(4*g**3 - 3*g**3 + 0*g**3).\nAnswer: 31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 z when four letters picked without replacement from {t: 11, z: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 12806862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 867 a factor of 175171281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3 bigger than -3212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 10:37 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*y + 362, 5*d - 4*y = y + 645. Suppose 0 = -3*z - 5*f + 434, -3*z + 320 = 3*f - d. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45343894, 90687779, 136031664, 181375549, 226719434?\nAnswer: 272063319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 479488656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48288 by 8048.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxfkf. What is prob of picking 1 k and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/60 + w**4\/12 + 4*w**3\/3 + 20*w**2. Let h be p(0). Solve 4 = -2*v, -5*v - 33 = -3*o - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*(-180)\/20925*(-40)\/(-2).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*q + 30 = 0, 42 = 5*l - 6*q + 2*q. Suppose -8 = -4*r + 8. Solve -r*y + l = -2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 24024?\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252 + -30?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:38 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2)*-1)\/((-26)\/26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 924696996 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/45*672\/106. Let v = -2\/53 - f. Let d = 61\/4 - 15. What is the nearest to d in 1, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -283 + 1107\/4. Let j = -7639\/3630 + -7\/242. Let s = j + -481\/105. What is the common denominator of u and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:32 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/4 - 7*y**3\/2 + 763*y**2\/2 + 52*y. What is the derivative of m(l) wrt l?\nAnswer: -6*l - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -9.9 (c) 2 (d) 53\/6 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q - 8 = -4*n, -4*q - 4*n = -8. Let w = q - -2. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 2. Let s(a) = -a**2 - 3*a + 7. Let d be s(-5). Suppose -5*x = 8 - 33. What is the remainder when m(d) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 2*g**3 - 10*g + 3 + 4*g - 3*g in the form q*g**2 + z*g + s + u*g**3 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 30*q**2 + 2. Let s(i) = -59*i**2 - 4. Let r(g) = 7*a(g) + 4*s(g). What is the derivative of r(o) wrt o?\nAnswer: -52*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/(-14) - 12\/28. Which is the third smallest value? (a) -0.4 (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127677, -255352, -383029, -510708, -638389, -766072?\nAnswer: -893757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 - 2960*h**4 + 593685*h**3 - 42178510*h**2 + 370150060*h - 328562280 = 0. What is h?\nAnswer: 1, 9, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36*-2)\/((-54)\/72)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(112))*1 + 4 - ((sqrt(7) + -2)*2 + (sqrt(77) + -4*sqrt(77))\/sqrt(11)))**2.\nAnswer: 60*sqrt(7) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, m: 2, c: 7}. Give prob of sequence mmc.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/9 + 80*n**2\/9 - 854*n\/9 + 1372\/9 = 0.\nAnswer: -49, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 15 = 5*b, -4*b - 9 = -p + 2*p. Let h(v) = -9*v - 29. Calculate the lowest common multiple of h(p) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 6104 + 6108. What is l in -1\/5*l**4 - 1\/5*l + 3*l**w + 19\/5*l**3 - 6\/5*l**5 - 2\/5 = 0?\nAnswer: -1, -1\/2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 40 = -0*c. Suppose -c = -2*o - 4*a, -3*o + 3 = -3*a + 5*a. What is the common denominator of -37\/6 and (22\/(-60))\/(o\/9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m**3 + 5*m**2 + 5*m. Let g(h) = 3*h**3 + 4*h**2 - 10*h. Let c(q) = q**3 + q**2 - 3*q. Let z(y) = -7*c(y) + 2*g(y). What is -i(b) + 6*z(b)?\nAnswer: b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 divided by 23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 868596297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 3*y**2 - 11*y - 8. Let h be v(-5). Let c(t) = -t**3 - 4*t**2 - 2*t + 4. Give c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20 or -3378\/179?\nAnswer: -3378\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -5 + (-42)\/3. Let w(n) = -n**3 - 20*n**2 - 38*n - 5. Let f be w(a). What is the second derivative of f*j**5 - 10*j + 706 - 706 wrt j?\nAnswer: 620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 8, -4*j - 43 - 5 = -5*d. Solve -d*a = -2*a + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -288, -186, -12, 234, 552?\n\"Answer: 36*d**2 - 6*d - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 234924 divided by -58731\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-24))\/(7\/12) + 1 + 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199*m + 6 = 5*z - 1198*m, -5*m = -2*z + 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29669476 from 3.2.\nAnswer: 29669479.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -566 (base 10) in base 4?\nAnswer: -20312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -187780000 rounded to the nearest one million?\nAnswer: -188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/12 + 5*h**3\/6 + h**2. Let p = 122 - 113. Let y(k) = k + 2. Determine p*y(i) - 4*q(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k**2 - 579*k + 29*k**2 - 15*k**2 to r + j*k + c*k**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -68*x + 991 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1 - 379) + 0)*(-6)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**5 - 6*w**4 - 9*w**3 - 8524*w**2 wrt w.\nAnswer: -60*w**2 - 144*w - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -387.915 + -4825.43?\nAnswer: -5213.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1289, 2582, 3875, 5168?\nAnswer: 6461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2545 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Suppose 2*d + d = i. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12)**(2\/7) assuming v is positive.\nAnswer: v**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-3 - -27 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 1:15 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 2*v**3\/3 + 51*v**2\/2 - 4*v + 154. What is f(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 1286600*c**2 - 206913585146*c - 1241527828908.\nAnswer: -2*(c - 321653)**2*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p + 3*d + 36, -4*p + 100 = d. Suppose 0*u - 4*u + 3*r = 4, p = 4*u + 4*r. Is u at most 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6.3. Let v = -3.97 - 0.03. Which is the closest to -1? (a) 0.5 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328113 to the power of 1\/2, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzjzjzzzjzjjzjz. What is prob of picking 3 z and 1 j?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.32.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00106061713 rounded to 7 decimal places?\nAnswer: -0.0010606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = -4*n + 11, -2*n = -4*z - 12. Let d be z*-15*(-2 - -1). What is the units digit of (-87)\/d - 3\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -120, -260, -420, -600, -800, -1020, -1260?\n\"Answer: -10*t**2 - 110*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -102*g**3 - 290*g**2 + 289*g - 1. Give k(1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-21)\/(210\/4)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16885 - 0.168869476. Round p to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 3355 = 2*b + 17*n, -n - 8430 = 5*b. Let j = -1056 - b. What is the greatest common factor of j and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58910164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204665, 204663, 204661, 204659, 204657, 204655?\nAnswer: 204653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Suppose -4*f + 94 = 5*q - 60, -f + 30 = -3*q. Suppose -2*w = w - f. Let u be 2\/(-7) - w\/7. Let p(c) = -c**2 - 2*c. Give u*p(t) + 3*j(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 12. Let a be (-3)\/i + -590003 + 0\/(-2). What is a rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) -0.62 (d) -2 (e) -4\/305 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 2. Let g be -1*(-2 - (-2)\/(-2)). Let n = g - 1. Is k(n) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 13, 25, 39?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2887391?\nAnswer: -1443695.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 3, r: 4}. What is prob of picking 1 y and 2 r?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 674 and -682.6.\nAnswer: -460072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 1815377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - ((-45)\/10 + 4))\/(-3 - -7). What is the closest to -0.01 in 0.1, h, 3, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82, 155, 220, 271, 302, 307?\n\"Answer: -k**3 + 2*k**2 + 74*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from useup.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 48. What is the lowest common multiple of h and (-11)\/(-11) - 36 - -80?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2473.239ml?\nAnswer: 2.473239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -218*n + 0*n**2 + 218*n + n**2 - 3*n**2. Let z(y) = -961*y**2. Calculate z(j(g)).\nAnswer: -3844*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8541058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -22, -20, 6731?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833376 is divided by 354?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b. Let f(n) = -n + 3. Calculate the remainder when f(-4) is divided by (-1)\/(b + (-3)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486600.\nAnswer: 2, 3, 5, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.214 * 2.2\nAnswer: -0.4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-122 - -10) + 11 + (-13 - -13) + 5.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 88. Let k be a(0). Let z = k - 5. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -2050006?\nAnswer: 2050002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/15 - j**4\/12 - j**3 + 52*j**2 + 3*j + 23. Let d(r) be the first derivative of i(r). What is d(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76b0b172 - -2?\nAnswer: 76b0b174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(405) + 1 + 1))**2*-2 - ((sqrt(405)*1 + 3)*-5)**2*6).\nAnswer: 26244*sqrt(5) + 208386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**6\/120 + f**5\/10 + 3*f**4\/8 + 6*f**3 - 33. Let c(n) be the third derivative of r(n). Factor c(g).\nAnswer: 3*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320388279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3*l - 5. Let g be k(-4). Let y = 4 - g. What is the greatest common factor of y and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -40*8\/(-15)*24\/3488. Let u = l + -1015\/4687. Are u and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 56330?\nAnswer: 56337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111001110 (base 2) in base 5?\nAnswer: 112141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + 1.5. Which is the second biggest value? (a) 0.2 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106840424, 213680848, 320521272, 427361696, 534202120?\nAnswer: 641042544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/32 and -105\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let u(p) = p**2 - 8*p. Let q be u(8). Let r be x(q). Solve r = -4*w - 3*g - 23, -2*g = -w - 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 203275811 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*w = -473*w + 2394 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.0975.\nAnswer: 0.2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 43835 + 5*i + 0*i - 5*i + 43835 + i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {l: 7, s: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001100100 (base 2) to base 6.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*c + 330*c = 84. Are 65 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12049 - 35375 = -192*c. What is the remainder when c is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**3\/3 - o**2\/2 - 19*o. Let q(j) = -3*j - 1. Let t = -4 - -9. What is t*r(k) - 4*q(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 159257 + 159337 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 i when three letters picked without replacement from {o: 2, w: 8, b: 2, i: 2, f: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**5\/20 + f**4\/12 + f**3\/6 - 3*f**2\/2 - f + 1. Let t(u) be the first derivative of i(u). Give t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14 - 6*(-2)\/70.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3311213 is divided by 1103737.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/13, -4, -3, -0.4, 1, 2.\nAnswer: -4, -3, -7\/13, -0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-17 + 4*g + 17) + 0*g + 0*g - g + 2*g + 0*g + 0*g + 3 + g - 3 + (-2*g + 2*g + 2*g)*(0 + 3 - 1) - 4 + 4 - g + 50*g + 43*g - 9*g.\nAnswer: 81*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-160)*2 + (-12)\/32.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j**3 - j**3)*(-7 + 9*j - 20*j + 9*j + 197).\nAnswer: 4*j**4 - 380*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from bwgywy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1070 and 93\/214.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.000251 * -19.\nAnswer: 19.004769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 56*k - 34. Let z be c(2). Suppose 0 = -4*b + 422 - z. What is the remainder when b is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1462175 times -0.5?\nAnswer: 731087.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1100110000101111 (base 2) to base 5\nAnswer: 3133041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 27*t**2 + 40)*(t + 3 - 3)*(2*t**2 - 3*t**2 + 0*t**2).\nAnswer: -27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/20 - 21*i**5\/40 + i**4 + 4*i**3 + 79*i. Factor o(h).\nAnswer: 3*h*(h - 4)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18181040 is divided by 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 times -0.09\nAnswer: -0.00675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 11) to base 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/9)\/(14\/(-42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192*o**6 - 5*o**4 - 6*o**2 + 80.\nAnswer: 23040*o**3 - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -164 = -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140338 - 1330.7.\nAnswer: -141668.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 817738 * 0.3\nAnswer: 245321.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825460.\nAnswer: 2, 5, 149, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*a = -113*a + 4*z - 470, -3*z - 15 = 0. Calculate the lowest common multiple of 7 and a.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z - 99\/2*z**4 - 108*z**3 + 1\/84*z**8 + 0 - 4\/5*z**6 + 8\/105*z**7 - 54\/5*z**5 + 21*z**2. Factor o(t).\nAnswer: 4*(t - 6)*(t + 1)*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991984403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1053))*2 - sqrt(1053))**2 + -4*sqrt(1053)*2.\nAnswer: -144*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: dc36d (base 14) to base 2\nAnswer: 10000010001000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - v - 15 = -2*u, -4*v + 20 = 0. Suppose 9*m - u = 4*m, -4*q = -5*m - 71. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhffddlouhhhoof. What is prob of sequence oho?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1940080 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34911 in 1, -4, 3, 1\/4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 4, -272029, 3\/8, 0.6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 4216.2?\nAnswer: -4243.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 0 = -22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107 + 20*m - 46*m - 4*m with respect to m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -221?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**2 + i - 1. Let h be j(1). Let o be h\/(132\/(-69) - -2). What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5508, 5579, 5662, 5763, 5888, 6043, 6234, 6467?\n\"Answer: m**3 + 64*m + 5443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -145*y**2 + 14*y - 14. Let i(w) = 72*w**2 - 6*w + 6. Give 9*i(v) + 4*k(v).\nAnswer: 68*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3892675?\nAnswer: 5, 155707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3)\/(219\/(-422)). Let u = 18\/73 + b. Let p = 3703 - 3702. Does u = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -3\/7 (c) 0.8 (d) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*z + 373, 3*v - 23 = -5*z + 216. Calculate the greatest common factor of 584 and v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391073.\nAnswer: 391073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15 + 0.25. Let f = -37 - -37.17. Let o = b - f. Is o bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, 0, 18 in decreasing order.\nAnswer: 18, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -173*j + 170*j. Suppose -852 = -j*t - 0*t. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087096662?\nAnswer: 2, 3, 60394259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/17 in -1, 1425, 1\/3, 2\/23?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 12*t + 84 = 3*x, 0 = x + t + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -286*j**2 + 590*j**2 + 40*j**4 - 129*j - 49*j**2 - 123*j**3 - 43*j**4.\nAnswer: -3*j*(j - 1)**2*(j + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*v**2 + 32 - 274*v**2 + 34 - 59 + 307*v**2 to s + d*v + x*v**2 and give x.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 85*v - 422. Determine k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1457232 and 149917.3.\nAnswer: -1307314.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**49\/((l*l\/l**(-1\/10))\/l*l\/((l\/(l\/l**1))\/l)))\/((l*l**(-10)*l)\/l**(5\/3))**(-45) assuming l is positive.\nAnswer: l**(-4371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-20)\/(-2340)*(-18)\/81.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 63*x - 4. Let j(c) = -2*c + 1. Calculate -b(t) + j(t).\nAnswer: -65*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -112332 divided by 1012\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(5\/35*7)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 230.974 + -0.974. Let u = s + -230.1. Which is the closest to u? (a) -1\/4 (b) 32 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -49*j + 4. Let g be a(-4). Suppose -3*i = -2*n - g, -4*i = 4*n - 0*n - 280. Suppose 3*r - 5*r + i = -4*w, -140 = -5*r + 4*w. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284351.3 millilitres in litres?\nAnswer: 284.3513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64245 is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22.01 times 0.3\nAnswer: 6.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**3 - 4*i + 1. Let b(c) = 9*c**3 - c**2 - 9*c + 3. Let w(f) = 4*b(f) - 7*o(f). Find the common denominator of -3 + 332\/40 - 2 and w(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**2 + 15*t - 9. Let u(s) = -5*s**2 - 8*s + 5. Let o(k) = 4*b(k) + 7*u(k). Let v be o(-6). Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + 101*d - 761. Determine s(21).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -118, 2, 0.4, 0, -2\/5, -3, -2\/589?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 2\/5, -5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 984.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 298*v**2 - 4*v - 1. Let x(g) = g**2 - g. Let q(b) = s(b) - 4*x(b). Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(32\/20)*(-3)\/5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:48 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) + 1 - sqrt(3)))*-3 + (sqrt(27)\/(sqrt(9)*-3 - sqrt(9)) - sqrt(3)) + -4.\nAnswer: -22 - 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*f - 70 - 40 = -91*f + 154*f + 3*o + 162, o = -2*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26643 - -2022?\nAnswer: -24621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5999623 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 37*o - 12 = 35*o, k = 3*o - 18 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7057115700 rounded to the nearest 1000000?\nAnswer: 7057000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127287 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-5))\/((-22)\/(-55)). Suppose n = -x*f + 6*n + 3, 3*n = 0. Differentiate 3 + 0*o + 4 - o + f with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 9*s**2 - 9*s + 2. Let n be b(10). Let d be 0 + 6\/3 + 28. Calculate the greatest common factor of n and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(-4)*3*(-16632)\/(-4158).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 30\/7 + (-90)\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16430 + 16430.00082862. Round f to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*a + 136, 6*a - 24 = 5*a + 5*x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -131 (c) -1\/154 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -213 - -1456a?\nAnswer: 14357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 20, 46, 82, 128, 184, 250?\n\"Answer: 5*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 4122*q - 4226696.\nAnswer: -(q + 1916)*(q + 2206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19538 - 19480. Put y, -3\/53, 1\/2, -4, 1\/5 in decreasing order.\nAnswer: y, 1\/2, 1\/5, -3\/53, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7284*y - 3*y**2 + 7284*y + 1 - 3761*y**3 as u*y + p*y**2 + b + s*y**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 33. Solve 0*f = 3*f + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*s + 7 = 0, -3*s + 10 + 25 = 5*t. Suppose -242*k = -1646 - 1742. Calculate the remainder when k is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 219. Let v(q) = -6*q - 273. Let k(x) = 5*p(x) + 4*v(x). Calculate k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126, 322, 648, 1104, 1690?\n\"Answer: 65*p**2 + p + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*h + 17 + 11 = 0, -3*h + 30 = 5*u. Solve u = 5*v + 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18903, 37813, 56727, 75645, 94567?\n\"Answer: 2*c**2 + 18904*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 264839 * -1916\nAnswer: -507431524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 8*g - 224, 73843*g - 112 = 5*p + 73839*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(363) + 2)*-6)**2 + 1.\nAnswer: -79271 - 9504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**2 + 152*a + 5. Let j(f) = 19*f**2 + 229*f + 8. Let g(v) = 8*b(v) - 5*j(v). Let y(r) = -4*r. Calculate y(g(p)).\nAnswer: -4*p**2 - 284*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45 + 7*j**3 - 45 + (0 - 1 - 1)*(5*j**3 + 2*j**3 - 6*j**3) + 15*j - 15*j + 6*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4411*g**3 - 6*g**2 - 4407*g**3 + 6*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2\/7 - 60*k\/7 = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6143.461 millilitres to litres.\nAnswer: 6.143461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 22. Which is the second smallest value? (a) 1\/4 (b) h (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 2. Suppose -30 + 32 = 2*n. Let r(j) = 2*j. Let p be r(1). Let b(k) = k + p*k - 4*k. Determine n*l(g) + 4*b(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 - 2*h**3 + 2*h**3)*(-h + 0*h - 18*h)*(-33 - 71 - 103) + 5*h**2 - 5*h**2 - h**4 in the form q*h**3 + s*h**2 + r + w*h + o*h**4 and give o.\nAnswer: -3934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*m - 92*m = 0. Solve -2 = -i - 5*y + 10, m = i - y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 2\/51, 66267?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -61b25c (base 15) to base 9\nAnswer: -8658086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 87?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1193 or -273?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2. Let f = -11 - -13. Let o(r) = 3*r**2 - 5*r**f - 6*r**2. Determine i(o(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + -103. Let v = w + 158. Solve -2*h + v*h = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 9 + -6 - 6)*(-3 + 1). Suppose 5*u = -2*y + 165, 340 = -0*y + 5*y - 2*u. Calculate the greatest common divisor of t and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96375 is divided by 286.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpqqhpfqqqpqf. Give prob of picking 1 p and 1 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/(-4 - 4\/(-10)). Let s = 211 - 431\/2. Let h = s - d. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)*q**13)\/(q*(((q\/((q\/(q*q**(-2\/9)*q))\/q))\/q)\/q)\/q*q*((q\/((q\/((q\/(q**(-5)*q))\/q))\/q))\/q)\/q) assuming q is positive.\nAnswer: q**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-28))\/(70\/(-56)))\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 12:46 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h + 40*h**2 + 1\/120*h**5 - 2 - 7\/3*h**3 - 1\/4*h**4. Factor j(l).\nAnswer: (l - 14)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*l - 7*l - 4*p, l - 2*p + 13 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12181560 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 0.559.\nAnswer: -0.04472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + p**2 + p + 2*p**2 - p.\nAnswer: 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/42660 and 29\/3491010?\nAnswer: 20946060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 14 = 2*w, y + 5*w + 8 = 6*w. Put y, 4, -2, 2 in decreasing order.\nAnswer: 4, 2, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -3. Let l = -1 + j. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1282531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.81 - -45. Let z = 0.19000064 - g. What is z rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuc when three letters picked without replacement from {x: 10, c: 4, u: 5}?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/12)\/(39\/(-18) + 2). Let d(m) = -2*m**3 - 4*m**2 + 7*m + 8. Let s be d(n). Let y = 44 - s. Let h(k) = -k - 4. Determine h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-6 - sqrt(5))**2 + 2*(sqrt(5) - (0 + sqrt(5))).\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1159 + 4086*k**4 + 2*k + 2*k**2 + 1892*k**4 + 1147 wrt k?\nAnswer: 71736*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -41*f + 45*f - 48, 2*f + 5*v = 45. Solve -5*a + 22 = -3*n, 5*n - 2*a + f = -9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51\/7 - -12\/7. Let j = -1384\/11 - -125. Let v = 203\/88 - j. Find the common denominator of b and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 43498?\nAnswer: 173992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 170.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3 + 4490*q**2 - 245278*q + 240790 = 0.\nAnswer: 1, 55, 2189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*h - 4*a + 11, a + 29 = 5*h. Solve 3*m = h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5413767 to the power of 1\/2, to the nearest integer?\nAnswer: 2327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r**2 - r - 1. Let o = 6 - 10. Let s(j) = -5*j**3 + 12*j**2 - 4*j. Let c(t) = o*z(t) + s(t). Determine c(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/100)\/((-430)\/48 - 6939\/(-771))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12015703 - 58?\nAnswer: 12015645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*d + 15, 2*n - 8 = -d - 2*d. Suppose n = 3*c + 2*k, 3 + 10 = 5*c + 2*k. Sort c, -5\/2, 2\/3 in increasing order.\nAnswer: -5\/2, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 279, 621, 1099, 1713, 2463?\nAnswer: 3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*g + 4*g = 6, -5*g = -4*z + 27. Suppose -z*o = -w + 5*w - 14, -2*o = 3*w - 8. Calculate the least common multiple of 510\/25 + (-4)\/o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 6. Suppose 4*s - 12 - 20 = 0. Calculate the remainder when h is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 25759687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 13. What is the remainder when x(6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 447 + -1417. Let a = 987 + p. Solve -5*n + 2*x = 29, -x + 0*x = -3*n - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 943234280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23140 and 7332?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o - 6066277 + 6066277.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let p = -44 - -45. Calculate the remainder when p is divided by a\/3 - (-4)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6 + 15*o - 1 in the form q + t*o and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 8099.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/3)\/1*(0 - 22). Let d = -16 - v. Solve -j = 4*o - 15, -3*o + 4*o - 2*j - d = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.87467833 rounded to two dps?\nAnswer: -30.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/5 (b) 0 (c) 0.03 (d) -2\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*9 + -2. Suppose 5*f + s = 2*x - 7, -5*f = 20. Let z(l) = l**3 + 6*l**2 - 3*l - 13. Let b be z(x). Solve b*a - a = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -0.3. Let c = l + -0.7. Let z = 163\/6 - 27. What is the closest to 0 in 2\/3, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1614399352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4672a + -1?\nAnswer: 46729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008348458 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 30600004. Let l be w(0). Let c be 8\/(-36) - l\/(-18). What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by 4016422?\nAnswer: -239\/4016422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o + 91*o + 80*o = -2025 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*p + 2*c, 0 = 4*p + 3*c - 9 - 80. Let z = p + -18. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8163300 and 1140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 59767580?\nAnswer: 239070320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 183.34.\nAnswer: -14.6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584*j**5 - 332*j wrt j.\nAnswer: 11680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 - 9 - 27*p**3 + 15*p**3 + 11*p**3 + 10*p + 0. Give m(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 16. Let p be y(18). Suppose -p*s + 4 = -s - d, -2*d - 3 = 3*s. Is 0 - (-1 - s) - -297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -10, -5, -2, -424, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b + 151. Let c be p(9). Let q = 253 + c. Is q a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -1\/6*k**4 - 1\/3*k**3 + 1\/15*k**6 + 1\/10*k**5 + 0*k**2 + 0 + 6*k. Factor r(g).\nAnswer: 2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100000 - -11?\nAnswer: -1010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 326862772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:12 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 23*s = 50*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a tonne in kilograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7\/5, -1\/6, -4, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -54, -67, -58, -21, 50, 161?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6, -4*m = b - 0*b - 10. Suppose 0 = -0*s + 4*s - 4. Suppose 3*z - s = 2*z. What is the third smallest value in b, 3\/5, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 5233133?\nAnswer: -5233142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -147 + -2?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 + 5*c**3 + 12*c**2 - 16*c - 63. Let k be b(-13). Solve 0 = 5*g - 4*x + 5, 0*x - k = -5*g + x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(272) + sqrt(272)*-1)*2*2 - (3*3*sqrt(272) - -5*(sqrt(272) + 2)))**2.\nAnswer: 1120*sqrt(17) + 53412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2) - (-112)\/(-32). What is the closest to n in -5, -2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161640389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1170 + 3*c + 0*c - c + 389.\nAnswer: 2*c - 781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {f: 2, t: 1, c: 2, i: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*l + 38 = -0*a, 4*a - 54 = l. Suppose 6181 = a*k + 2065. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 31*f**2 - 810*f + 208. Calculate a(-14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 - 172. Let x = v - -46. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 111917708, -3\/8, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 34*u - 52. Let r = 2540 + -2525. Determine m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**10\/336 + h**9\/180 + h**8\/840 - 2*h**7\/315 - 7*h**4\/12 - 8*h. Let b(i) be the third derivative of g(i). Factor b(q).\nAnswer: -2*q**2*(3*q - 2)**2*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/15*(-25)\/5. Let u(r) = -r**2 + r + 4. Give u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-422 - -2)*(27\/(-15) + 1). Suppose 31 = -10*l + 241. What is the highest common factor of y and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610046464 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3259288*h**3*p**2 - 82*h**3*p - 10173*h**3 + 2*h**2*p wrt p.\nAnswer: 6518576*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 19. Suppose 4*v - 5*w - 279 = 0, i = 6*v - 4*v + 2*w - 144. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 169287?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (157 - -2) + -2. Suppose -j + 10 = n - 69, 0 = 3*j + 2*n - 232. Let r = j - w. What is r rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (2 - -1 - 9) - 3 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/28 + (-6)\/21. Suppose z = 6*t - t + 25. Let k be t\/(-2)*8\/5. Solve s = k*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 + 14)*2\/(-2) + -2. Let r(x) = -16*x**3 - x**2 - x + 1. Determine r(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n**3 + 2*n + 1. What are the prime factors of x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4\/3 (c) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-225) + (-11)\/3*189\/360. Which is the second smallest value? (a) y (b) -0.2 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 42. Let z = 6 + a. Suppose -5*l + 4*j = j - 95, 0 = 2*l - 5*j - z. Calculate the highest common factor of 209 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1648 = -232*d + 2499 + 5181 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3576 (base 9) to base 11.\nAnswer: 1aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -3.19, -3, 1.1, -4\/21?\nAnswer: -3.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**0\/f)\/f*f*f)**(2\/43)*f**(-3\/22)*f\/(f\/(f*(f**20\/f)\/f))*f assuming f is positive.\nAnswer: f**(18835\/946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 79184689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/63 - 60\/(-14). Suppose 5*s + n = 24. Let m be 1\/(-4) + 5440001\/s. What is m rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 8 = c, -53*d - 31 = -102*d + 54*d - 4*c for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -13557?\nAnswer: -13548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 137\/(3 - (0 + 2)). Let a be (-8 + i)*(-142)\/(-3). Is a\/10 - (-8)\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 - 255. Let u = l - -159.99999549. What is u rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*w - q + 43, 3*q = 4*w + 31. Is w <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-2\/59))**(2\/7)\/(l**1*l\/(l**(1\/3)\/l))**(-35) assuming l is positive.\nAnswer: l**(115628\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30679, -61492, -92305?\n\"Answer: -30813*m + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2782 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704) + sqrt(704) + 0 + -1)**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 1)*(-3*w - 3*w + 5*w)*(2*w**2 - w + w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {u: 2, p: 2, h: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + 0 - 0 - (-1 + 32 - (-120 + 151))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -9. Suppose 2*v - 11 = -t, 5*v - 27 = 3*y. Is ((-5902)\/(-4))\/(y*3\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1686039 is divided by 337205?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 2*y**2 + y**2 + (-y + y + 5*y)*(-1 + 2*y + 1) - 4 - 3*y**2 + 4 in the form v*y**2 + u + k*y and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113112110311323 - -10?\nAnswer: -113112110311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 11*o)*(0*o**4 - 2*o**4 + 0*o**4) - 4*o**5 + 2*o**5 + o**5.\nAnswer: 21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 10. Let x be u(-5). Suppose 167 = 8*n - x. Let p = n - -18. Calculate the remainder when p is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21476\/187 and -116 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z - 47*z**3 + 401*z**3 + 381*z**3.\nAnswer: 735*z**3 - 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3853 - 2244. Let j = m + -559. Let f be (-12060)\/3*(j\/(-9))\/7. Round f to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(275)*-6 + 4)*-4)**2*-6.\nAnswer: -2855808 - 69120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19052*s**3 + s**2 + 2*s. Suppose 5*m = 2*o - 18, -29*o = -34*o - 4*m - 21. Is w(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -793, -798, -803, -808, -813, -818?\n\"Answer: -5*l - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329652 divided by 723.\nAnswer: 109884\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -110. What is the least common multiple of j and 6?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245\/4 - -1719\/28. Sort w, 0.01, 9.\nAnswer: 0.01, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10022472 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -7*a - 3*g - 13, -5*g = -a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26.21? (a) 0 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -17. Let f be (2\/3)\/(5\/15). Sort 1, m, f, -1.\nAnswer: m, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 3*b**5 - 39*b**4\/2 + 5*b**3 + 528. Suppose t(l) = 0. Calculate l.\nAnswer: 0, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 2. Suppose 3*v - 6 = -3*s, -4 = -5*s + 3*v - 2. Let w(g) = -3*g - 32. Let f(d) = d + 12. Let j(i) = -8*f(i) - 3*w(i). Give s*r(h) + 5*j(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (1 - (-1 + 0)). Calculate the common denominator of 197\/(-80) + f\/10 and 109\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/42)\/((-3)\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Let b(d) = -d**2 + 74*d - 2729. What is b(p(m))?\nAnswer: -m**4 - 74*m**2 - 2729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 1.02. Let i = -1.1 - q. Suppose a = -a - 2*j - 4, 0 = 3*a + j + 6. Put a, 0.1, i in ascending order.\nAnswer: a, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f**2 - 13*f + 6. Let t be x(-5). Suppose -12*b - t = -3*l - 10*b, -5*b + 218 = 2*l. What is the greatest common factor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -1\/26, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Differentiate -18 + 79*d**x - 79*d**2 + 7*d**4 with respect to d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221 and 169?\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q. Let y(s) = 8*s**2. Calculate y(p(u)).\nAnswer: 1352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/23))**(28\/9) assuming s is positive.\nAnswer: s**(-56\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(0 + (-1 - -2)). Let p(k) = -k**2 + 6*k**3 - 2 - 15*k**3 + 6*k**3 - k. Let g be p(c). What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 12*l - 12. Let r(n) = n - 1. Suppose 1 = 4*f - p + 3, 3*p + 5 = f. Calculate f*o(w) + 12*r(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -65 - 58 + 63*p + 221. List the prime factors of c(11).\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26672*r**3 + 58817*r**3 - 2*r**2 + 175305*r**3.\nAnswer: 260794*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.657 - 295.84.\nAnswer: -298.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14738396 and 32872.\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 0, 25*d + 5*h + 6 = 26*d. Calculate the remainder when 934 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 1505967.28.\nAnswer: 1505967.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - (0 + -12)) + 3. Solve -m*k + 16 = -4*l, -3*l = 4*k - 18 - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195721399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(8\/(-9)))\/((-37)\/(-370)). Calculate the highest common factor of u and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z + 0 - 1\/2*z**3 + 7\/2*z**2 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9*(-16 + -17). Suppose d*y + 7*y = 1638. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2259*u - 35137. What is z(16)?\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 563*w**4 - 512*w**2.\nAnswer: 13512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -234794?\nAnswer: -234796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074*s = 5*t - 1073*s - 22, 2*s = t - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) - ((sqrt(198) - -3*sqrt(198)) + sqrt(198)))\/(sqrt(11) + (sqrt(11) - (sqrt(891) - (sqrt(891) + (sqrt(891) - (sqrt(891) - sqrt(891)*2)))))).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 8*i - 3. Let p(t) = -t + 8. Let c be 5\/(-2)*(-48)\/30. What is the remainder when q(-10) is divided by p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(7) + sqrt(7) + -2)*-1*-3*-4)**2.\nAnswer: -10368*sqrt(7) + 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 and 16254?\nAnswer: 81270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 498132*l**2 - 861513?\nAnswer: 996264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -5, -4, 15387?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202108 (base 10) to base 3.\nAnswer: -101021020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373595737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56377860 and 46860.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12146 + 61.01346. Let a = t - 61. What is a rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 - -146.5. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/28 (b) 16 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 - 18*j**2 - 22*j**2 + 65*j**2 - 11*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/7)*f*f)**(-44) assuming f is positive.\nAnswer: f**(-1276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*5*sqrt(800)*3)**2.\nAnswer: 25920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*l - 76, 5*l = l + 3*t + 92. Let k be (-2 + l\/8)\/2. Which is the nearest to k? (a) 0.5 (b) -2\/11 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (15 + (3 - -6))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:13 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57301, -114604, -171907, -229210?\n\"Answer: -57303*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 512835 divided by -116\nAnswer: -512835\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.12, -3, 0.5, -433?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 - 2*i**2 - 18*i - 3*i**2 + 24*i + 136 with respect to i.\nAnswer: -6*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/17 - 92\/153. Let y(p) = -p**3 + 13*p**2 + 715*p - 33. Let w be y(34). Which is the nearest to w? (a) 2 (b) j (c) 14 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 260522126*k**4 - 156*k**2 - 59*k + 3191?\nAnswer: 6252531024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560*r = 5063*r - 6919 - 137122 + 31450 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 172 = 4*t - 5*j, -5*t - 4*j + 224 = 0. Let u = t - 22. What is the highest common divisor of u and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -291*i + 269*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -5, 12, 21, 3, -6 in increasing order.\nAnswer: -7, -6, -5, 0, 3, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 41*r = 30. Solve 4*w - 2*f - 27 = -w, 2*f = -w + r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 30 = -31*k. Let j(g) be the first derivative of 0*g**5 - 1\/33*g**6 + 2 + 1\/22*g**4 + 0*g + 0*g**3 + 0*g**k. Determine r so that j(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**6\/20 + 5*s**3\/3 - 3089*s**2. Let i(r) = 7*r**3 + 11. Determine 5*i(z) - 6*t(z).\nAnswer: -z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -272465.0628 - 0\nAnswer: -272465.0628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002632 rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.49848 + -2.5. Round p to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + 2 + -5 - ((sqrt(13) - sqrt(26)\/sqrt(2)) + 1 - (-3 + -1 + sqrt(13)))**2.\nAnswer: -41 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 12*y + 5. Let t be d(-12). Suppose t*b - 124 = -19. Are -1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23.1. Which is the second biggest value? (a) j (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 559089419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/1)\/(7\/126*6). Let p(l) = l**2 - 2*l - 6. Let j be p(-4). Calculate the greatest common factor of b and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 l, and 1 b when four letters picked without replacement from xxltlxllbxllxxbxxxtx?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3551471, -3551461, -3551451?\n\"Answer: 10*n - 3551481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 185 + -127 - ((56 - 2) + -2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37228, 37230, 37232?\nAnswer: 37234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 12 + 37. Which is the second smallest value? (a) 0.056 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5\/3*t**3 + 0*t - 5 - 3*t**2. Find the second derivative of c(u) wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010012 (base 3) in base 6?\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2552 greater than 0.276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*c + 184, 0 = c + 8411*y - 8407*y + 71 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185519753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 14, -10, 7 in increasing order.\nAnswer: -10, 7, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovwivovvowivovovvi. Give prob of sequence oi.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 112197 - 47386 = -4*s, 0 = -o - 3*s + 31910. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r - 56. Let f(v) = -3*v - 14. Let b(a) = 4*f(a) - k(a). Let j(i) = -2*i**2 - i + 2. Calculate -2*b(d) + j(d).\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(2))**2 + 2 + -3 + 2*sqrt(242)*-5 + (sqrt(242) + 0)*-2.\nAnswer: -130*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.88 + -12.18. Let c = -2 + 3. Put c, l, -0.2, 0 in decreasing order.\nAnswer: c, 0, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -9042?\nAnswer: -904d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 19780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 66*k + 1046. Give j(-34).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10100011111 (base 2) to base 10\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**4\/12 + q**2. Let g be -2*(-1 - 4)*(-32)\/(-40). Let d(l) = g*l + 49*l - 85*l. What is d(k(s))?\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 28 + 16. Suppose 2*t - j = -5. Suppose -t*d + d = -5*b - 83, 0 = -4*d - b + 111. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuj when three letters picked without replacement from yyjauawaau?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 1. Let n(g) = -g**2 + 2*g - 2. Let d(m) = -2*n(m) + 4*y(m). Let o(t) be the first derivative of 2\/3*t**3 + 0*t + 0*t**2 - 1. What is d(o(a))?\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2854101 and 0.11.\nAnswer: -313951.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdxidicc. Give prob of sequence xd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/3, 4, 0.3 in ascending order.\nAnswer: -5\/3, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*i**2\/5 - 9238*i\/5 + 236304\/5.\nAnswer: 2*(i - 27)*(9*i - 4376)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 509852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119.392 - 119. Let p = y - 0.39198597. What is p rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 33428.\nAnswer: 33428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 312 + -56. Calculate the least common multiple of (-2)\/(4\/(x\/(-4))) and ((-9)\/(-6))\/((-39)\/(-416)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8978583 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(-1*sqrt(272) + 0 + ((sqrt(272) - (sqrt(272) + -1)) + 1)**2))*5.\nAnswer: -100 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {t: 7, i: 1, e: 5, z: 3}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.61272 - 32.66. Round l to three decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9))**(-2\/95)\/(((((h**(-12\/7)*h)\/h)\/h)\/h)\/h)**(-9\/8) assuming h is positive.\nAnswer: h**(-253487\/47880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3071? (a) 2\/29 (b) 3\/7 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - -3 - (-1 - -2). Suppose i - 6*i = c. Let j be (-13)\/(-21) + (-3)\/9. Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 3, q: 2, t: 1, u: 6}. What is prob of picking 1 c and 1 q?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.95 - 3.8. Let m = g + -0.349. Let u = 0.1990406 + m. What is u rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or 1?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3705815 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76720077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 4. Let c be 2 + 0 + (a\/(-6) - 2). Sort c, -0.1, -3, 0.04 in descending order.\nAnswer: 0.04, -0.1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x. Let k(u) = u. Let c be k(-6). Let t(p) = p + 7. Let r be t(c). Let g be d(r). Solve v - g = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1516*a + 1525*a - 74 = 295. Let p(m) = -m**3 + 5*m**2 + 5*m + 7. Let y be p(6). Calculate the remainder when a is divided by (-1)\/(y - 8\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*x - 455 = -281*x. What is the least common multiple of x and 2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = j + 5*p + 23, -2*j = -5*p - 8 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -61, -71, -81, -91, -101?\n\"Answer: -10*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 16*t - 17*t. Let s be 33*(-3)\/((-9)\/(-2)). Let o = s + t. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1792 and 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/3366468 and -16\/9855?\nAnswer: 16832340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 2578188*g - 553921113612.\nAnswer: -3*(g + 429698)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7257587 tonnes in milligrams?\nAnswer: 725758700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316668746 to the power of 1\/3, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72\/40*(-4 - (-16)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 5. Let h be a(0). Let p(r) = 5*r + r + 0*r - h*r. Let j = 2 + 3. Give p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 380, 1452, 3168, 5522, 8508?\n\"Answer: -t**3 + 328*t**2 + 95*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - h - 3*h**3 + 19 + 464*h**2 - 558*h**2.\nAnswer: -3*h**3 - 94*h**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 10000?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16205 + 5?\nAnswer: 16210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -349816973614948\/375 + 2871122989837931413\/3077250. Let j = b - 170575790. Let n = j + 54\/373. Calculate the common denominator of -31\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**7\/420 - a**6\/36 + 11*a**3\/6 - 10*a. Let p(u) be the second derivative of g(u). Find the third derivative of p(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - 4*m**2 + m**2 + 3*m**2 - 2*m**2 + 0*m**2 + 4 - 4 - m**2 + (0*m + m + m)*(-4*m + 3*m + 0*m) - 3*m**2 + 0*m**2 + m**2 - 2*m**2 - m**2 - m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 179*g**2 + 16646*g - 70. Give l(-93).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311*r - 31*r**4 + 158*r + 159*r wrt r.\nAnswer: -372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*b + 50, 3*b = -3*a + 6*a - 5*a + 38 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -1205 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 275. Let t(o) = -o**2 + 26*o - 21. Let g be t(25). Suppose -20 - 8 = -g*x. Calculate the smallest common multiple of u and x.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307425 is divided by 9607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1137.6 - 1137. What is the nearest to 1 in 0.13, k, -5, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let w(l) be the first derivative of -204*l**2 + 4*l - 6581. Determine b(w(z)).\nAnswer: 332928*z**2 - 6528*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 103485, -3, -5, -9 in decreasing order.\nAnswer: 103485, 5, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 139.7 (b) -1.72 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7885864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10938440 divided by 273461\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -30, 8, 68, 156?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -18) + (-26)\/13. Let f be (-1)\/2 + (-10)\/(-4). Calculate the greatest common divisor of f and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382198975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let o be t(-2). Suppose -3 = -h + 3*l, h + 3*l = 3*h + o. What is the remainder when 4 is divided by (15\/h + 2)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.2 (c) -2023 (d) -3 (e) 0.05 (f) -107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1437270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 51149 = 4*c, 0 = -13*c + 10*c + 3*k + 38328. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666717\/35 - 42\/735.\nAnswer: 43, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let j be y(-5). Suppose 0 = 8*l + 17 + 15. Sort l, 0, j in decreasing order.\nAnswer: 0, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 767455 and 91.\nAnswer: 5372185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/67*1*1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*610\/8 - (-2)\/4. What is the derivative of p - 2*s + s - s**4 + 3*s - 2*s**4 + 8*s wrt s?\nAnswer: -12*s**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = 5*y, -10 = -y + 3*y + 3*t. Sort y, 4, -1.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354140 + 173574 = 6718*p + 1320*p + 133852 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160597807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4\/2 - 2215*x**3\/4 + 22340*x**2 + 3850735*x\/4 + 951375\/2 = 0. What is x?\nAnswer: -25, -1\/2, 118, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and (-26315)\/(-25) - 45\/75?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 10:37 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-80)\/(-28)) - (-3)\/5. Suppose -o + a = 13, -p*o + a - 5 = 6*a. Let d be (-2 + o)\/(-2*1). Let h(z) = z. Determine h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 311 from -3.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7\/2 (b) -2.7 (c) 1\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280991839 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 346166 - -351?\nAnswer: 346527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-2)*(2415\/231)\/23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4566455 or 2?\nAnswer: 4566455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1644 and 25212.\nAnswer: 3454044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 58*f**4 + 3*f**3 - 3*f**2 + 29*f - 3. Let k(n) = -n**4 + n**3 - n**2 + n - 1. Let b(z) = h(z) - 3*k(z). What is the second derivative of b(i) wrt i?\nAnswer: 732*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2)*(-1 - 2 + 4) + 1 - 3 + 4 + 2 - 3 - 6)*(-3*s**5 + 13*s**5 + s**5 + (-2*s**3 - s**3 + 5*s**3)*(-2*s**2 + s**2 + 0*s**2)).\nAnswer: -27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 1. Suppose -3*p = -5*p. Suppose -12 = -p*i - 3*i. Suppose 0 = 4*m + 16 - i. Give l(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-13)*s)\/s)\/s*s)\/(s*s**(-17)) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let p(s) = -s + 1. Let g(z) = -2*h(z) - p(z). Let x = 23 - 13. Suppose 0 = -2*k - 0*k + x. Give g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -19. Suppose 14*w - 16*w = -b. Calculate the lowest common multiple of 2 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -15. Let w(r) = -r**3 + 11*r**2 - 5*r - 3. Does 11 divide w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4431?\nAnswer: 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2254661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 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 w(m) be the second derivative of -m**4\/12 + m**3\/2 + m**2 - 7*m. Let s be w(2). Let u = 0 + s. Solve -u*j + 2*f - 4 = 0, 2*f = 7*f - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1\/((-15)\/9). Sort 4, -0.3, y in decreasing order.\nAnswer: 4, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 1. Let d = -73 - -76. Determine s(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 19\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/(-6)*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 7*s**2 - 7*s + 8. Let c be r(6). Let p = 2 - c. Suppose -14 = -2*i - p. What is i rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, -1274, 1\/8, 1\/9, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -9\/40*q**5 - 1\/4*q**3 - 3\/8*q**4 + 2 - 1\/20*q**6 + 2*q + 0*q**2. Let b(y) be the first derivative of z(y). Factor b(j).\nAnswer: -3*j*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13d082d - c?\nAnswer: 13d0821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -34905, 2, 3598 in increasing order.\nAnswer: -34905, 2, 3598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10114599?\nAnswer: 3, 11, 306503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16455085, 16455083, 16455079, 16455073?\n\"Answer: -s**2 + s + 16455085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.353595ng in micrograms?\nAnswer: 0.002353595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -796, -1623, -2452, -3283, -4116?\n\"Answer: -m**2 - 824*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 - i - 25. Let u be h(6). Let k = 0.2 + -0.21. Let l = k - 2.99. What is the biggest value in l, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21818 - 6709. Let o = -15108.59029 + k. Let s = -0.41 + o. What is s rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 6 = -2*a, -85*g + 2*a = -22*g - 58*g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.8 and -187230.4.\nAnswer: -187239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 + 37*p**2 - 89*p + 31. Calculate r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -0*h - 3*h, -5*h - 22 = 3*a. Let z be 8 + -7 + 1 + -7. Let q = z + 1. Is a at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + a3?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 28*c + 30. Suppose 5*x - 15 = 5*i, -5*i = -x - 2*i - 5. Calculate the lowest common multiple of 6 and y(x).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1239600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22812.99925625 + 22813. What is o rounded to five dps?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-38)*7\/((-84)\/(-16)). Let m = -17 - -24. Let i(f) = -f**2 + 8*f - 10. Let y be i(m). Which is the nearest to -0.4? (a) g (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**2. Suppose -j = 2*j - 6. Let l(t) = 4*t + 5. Let g(d) = -d - 1. Let u(r) = j*l(r) + 10*g(r). Calculate s(u(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 - -69. List the prime factors of x.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 + 282*y**4 + 29678*y**3 + 1371152*y**2 + 22548393*y - 50823362 = 0. Calculate y.\nAnswer: -71, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10 and 97\/130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226 - -394. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.4 (c) -2 (d) -4\/7 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -2981.\nAnswer: -5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let c = -37 - -39. Let p(j) = -2*j**c + 2*j + 4 - 2 + 0*j. What is -4*h(r) + p(r)?\nAnswer: 2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 72. Let d = 10 - k. Let z = d - 67.053. Round z to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) 0.29 (c) -2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w**2 + w**2 - 3*w - 3*w**2 - 8 - 27*w**2 as z*w**2 + n + r*w and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -253?\nAnswer: 16\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkdd when four letters picked without replacement from kddkkddkddddk?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*t - 12. Solve -t*m + 2 = 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24546575 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - s = -7*s + 48, 3*w + s + 6 = 0. Let g(o) be the second derivative of -o**5\/20 - o**4\/4 + 5*o**3\/6 + 2*o**2 + o. Determine g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 - 18*b - 40 = 0?\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2147*k + 19332. Determine h(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 4, 3, 0.76, 33 in descending order.\nAnswer: 33, 4, 3, 0.76, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9494\/3 + -2269012\/717. Is t at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1372514\/45 or -30499?\nAnswer: -30499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 + 10*k - 12. What are the prime factors of o(-13)?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 175788 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 5. Let k be u(4). Let y = 0 - k. Suppose 0 = -s + j + y*j + 22, 3*j = -4*s - 7. Solve -s = -3*h + 5*c - 0, -3*c = -4*h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-216))\/8*135\/9.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -538 (b) 1.02 (c) -1\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + t + 8 = g, 3*g - 38 = -5*t. Suppose 2*u + p = -0*p - 4, 16 = -u + 3*p. Let j = u + 10. Calculate the lowest common multiple of j and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2 + 2*c - 2*c. Let k(n) be the first derivative of -2*n**3\/3 + 72. Give s(k(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 5 - ((-9 - -10) + -17 - -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 12:11 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -191, -192, -193?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.3224.\nAnswer: 4.6776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -11 + 1. Suppose -2*c + 10 = 0, 17 - 6 = i + t*c. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**4\/24 + k**3\/3 + 3*k**2. What is the units digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704) + sqrt(121)\/(sqrt(11)*-1))*-3.\nAnswer: -21*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 27 = 2*l, 0 = 4*z - l + 95 - 5. Let m(k) = -k**3 + 6*k**2 - 5*k - 1. Let x be m(5). What is the tens digit of (x + -3 - -3)*z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/21896 in -1\/195, -3\/5, 0.02?\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123\/4, -8, 1\/10 in increasing order.\nAnswer: -123\/4, -8, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/26 and -77\/186.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-8))\/((-6)\/(-8)). Factor -2\/3*k**4 - 4*k**s - 8\/3*k - 8\/3*k**3 - 2\/3.\nAnswer: -2*(k + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-53249)\/294 - (-4)\/(-24). Let u = -181 - k. Which is bigger: u or -15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 + 2185*g = 0 for g.\nAnswer: 0, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.98 + 0.02. Let j be -27 - 325356\/(-12122) - 2\/(-22). Put l, -3, j in increasing order.\nAnswer: -3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105176 is divided by 3016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - 95 = 25. Are -5\/22 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1185 + -1024. Calculate the highest common factor of s and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**2 + 1\/2*j**4 + 1\/2*j**5 - 1\/3*j**3 + 0 + 2\/15*j**6 + 20*j. Suppose t(v) = 0. Calculate v.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -8. Let f(m) = m**2 - 11*m + 7. Let k be f(o). Let a(s) = -s + 14. Let t be a(k). Solve -4*l - 3 = -t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1585*a**2 + 1583*a**2 - 3165*a**2 - 7 + 7.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4386 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(2610\/5))\/((-14)\/18*110\/385)?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 - 15.81. Let k = -15.99999902 - r. Round k to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by 78.\nAnswer: 67\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**3*g**2*p**2 - 2*b**3*g**2 - 104*b**3*p**2 + b**3*p - 481*b**2*g**2*p wrt p.\nAnswer: 20*b**3*g**2 - 208*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -1245, -2748, -4837, -7512, -10773, -14620?\nAnswer: -19053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6, q - 25 = -g + 7. What is the greatest common divisor of 75 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -149, -376, -607, -842, -1081?\n\"Answer: -2*h**2 - 221*h + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 45*j**2 + 4*j - 141. Let v(n) = -44*n**2 - 3*n + 118. What is 5*s(l) + 6*v(l)?\nAnswer: -39*l**2 + 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92410783.\nAnswer: 31, 2980993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 280*j**3 + 15*j**2 + 3 - 2*j - 5 - 14*j**2 + 3. Let a be v(1). Suppose 48 + a = 4*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 2)\/(((-117)\/(-54))\/(1\/(-9)))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 19 + 1 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 125586*i + 2009383. What is j(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11172803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(4)*-1*-2)\/(sqrt(12)\/(-1*sqrt(6))) - (1 + sqrt(50))**2*2*-6).\nAnswer: 236*sqrt(2) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s. Which is the closest to s? (a) 0.2 (b) 0 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:57 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 - 2*g - 1. Let m(x) = 2*x**3 + 8*x**2 + 7*x - 5. Let i(k) = -m(k) - q(k). Give i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/4 + 2*x**3 - 3*x**2 - x - 177. What is v(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -306*n**3 - 123*n + 12670. Let w(c) = -390*c**3 - 124*c + 12670. Let a(t) = 5*u(t) - 4*w(t). What is the first derivative of a(g) wrt g?\nAnswer: 90*g**2 - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26817971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.4 - 83. Let d = 259 + -234. Let y = p + d. What is the second biggest value in 4, y, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -143.8. Let k = -1.45 + 1.45. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(6\/(-54)). Let d = -3 + h. Let m be (-16)\/(-6) - (3 + -1). Are d and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -491 or -490?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}